Answer:
11/7: +9.42
Step-by-step explanation:
5. Challenge Problem
The largest pizza that is sold commercially is available
from Paul Revere's Pizza Company. The pizza has
a 4-foot diameter and costs about $100.00.
a. What is the circumference of the pizza?
b. If the pizza was sliced by cutting eight diameters
with a pizza cutter, how may slices would be created?
I'm a pizza with pizzaz!
c. Sliced according to B (above), what is the measurement
of the outside edge of each of the slices?
d. Sliced according to B (above) what is the cost per slice?
Each slice has an exterior edge that measurement roughly 0.6981 feet in length. Hence, the price per slice is around $11.11.
What does measurement and example mean?
Comparison of a parameter with a predetermined reference value is the process called measurement. For instance, when a measurement is represented as 10 kg, kg is the accepted unit of mass and 10 represents the physical quantity's size. Make correction suggestions.
The formula for calculating the arc length of the a sector, which is as follows, may be used to get the measurement of each slice's outer edge:
arc length is equal to (angle/360) x 2r.
when r is the pizza's radius, which is equal to its diameter. When we replace r with 2 feet & angle with 40 degrees, i get:
arc length is (40/360) x 2 x 2 feet, which is rounded to 0.6981 feet with 4 decimal places.
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Which expression is equivalent to Cube root of 343 x Superscript 9 Baseline y Superscript 12 Baseline z Superscript 6?
7x3y4z2
7x3y6z2
49x3y6z2
49x3y4z2
The value of the cube root [tex]343x^9y^{12}z^6[/tex] is [tex]7x^3y^4z^2[/tex]
A number's cube root is a quantity that when multiplied by itself three or more times, returns the original quantity. The cube root of 27, represented as 327, for instance, is 3 because 3 x 3 x 3 = 27 = 33 when we multiply 3 by itself three times. As a result, we can state that the cube root yields a value that is essentially cubed. Thus, 27 is referred to as the ideal cube. We may deduce what the cube's root is from the word "cube root." It denotes the integer that brought about the cube under the root.
The cube root 0f [tex]343x^9y^{12}z^6[/tex]
[tex]\sqrt[3]{343x^9y^{12}z^6} \\\sqrt[3]{(7x^3y^4z^2)^3} \\\\\\7x^3y^4z^2[/tex]
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find the probability that the first arrival will not occur until at least the fifth one-second interval.
The probability that the first arrival will not occur until at least the fifth one-second interval is 1/32.
This is calculated by the following equation:
P(First arrival in at least the fifth one-second interval) = 1 - P(First arrival in first 4 one-second intervals)
P(First arrival in first 4 one-second intervals) = 4/32
Therefore, P(First arrival in at least the fifth one-second interval) = 1 - 4/32 = 1/32
Therefore, the probability that the first arrival will not occur until at least the fifth one-second interval is 1/32.
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Find the circumference of each circle.Use your calculators value of pi.Round your answer to the nearest tenth.
Answer:
5) 59.7 in
6) 39.0 mi
7)
8) 50.3 mi
Step-by-step explanation:
5) C = [tex]\pi (19)[/tex]
C = 59.7 in
6) C = [tex]2\pi (6.2)[/tex]
C = 39.0 mi
7) RADIUS IS CUT OFF
use C = [tex]2\pi r[/tex]
8) C = [tex]2\pi (8)[/tex]
C = 50.3 mi
Write a multiplication equation to show an equivalent fraction of 15 using fifteenths.
Answer:2/30
Step-by-step explanation:
1/15*1/15=2/30
. cards are dealt from a standard shuffled deck of cards until the first ace is drawn. what is the chance that the next card is a king?
Cards are dealt from a standard shuffled deck of cards until the first ace is drawn. So the chance that the next card is a king is 0.05 percent.
When drawing a card from a standard deck of 52 cards, the chance of drawing an ace is 4/52 or 1/13. After an ace has been drawn, there are 51 cards left in the deck, and 4 of them are kings.
So, the probability of drawing an ace and then a king is
(1/13) × (4/51) = 4/663.
There are 4 different aces that could be drawn, each with the same probability of
(1/13) × (4/51) = 4/663,
So we multiply by 4 to account for all the possible aces that could be drawn.
Therefore, the total probability of drawing an ace and then a king is
(4/663) × 4 = 16/663.
Once an ace has been drawn, there are 51 cards remaining in the deck, and only one of them is a king. Therefore, the probability of drawing a king after an ace has been drawn is 1/51.
The probability that the next card is a king after the first ace is drawn is thus:
(16/663) × (1/51) = 16/33663
= 1/2104.
This simplifies to 0.0475 percent or approximately 0.05 percent.
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using the applet, how many standard deviations above and below the mean do the quartiles of any normal distribution lie? use the closest available values (the applet can't hit every value exactly).
Normal distribution, the quartiles lie at roughly 0.675 standard deviations below the mean and 0.675 standard deviations above the mean, which corresponds to 25% and 75% of the data, respectively.
To determine the number of standard deviations above and below the mean that the quartiles of any normal distribution lie, use the closest available values (the applet cannot hit every value exactly).
The quartiles of a normal distribution are separated by 1.5 IQR, where IQR is the interquartile range. In a standard normal distribution, the interquartile range spans from approximately -0.675 to 0.675, which corresponds to roughly 0.675 standard deviations above and below the mean.
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i really need help, my test is tomorrow and it's crucial to my grade. im offering 30 points please
Answer:
9, 10, 3y, 5, 3y, 5
Step-by-step explanation:
First look at the second row
_(2y+3)+_(2y+3)
We know that if we multiply the first blank time 2y is should equal 6y^2, so the answer for the first one is 3y. The third blank times 3 should be 15, so the answer for the third one is 5. Therefore, 3y(2y+3)+5(2y+3).
Now if we distribute, we get the answer for the first part: 6y^2+9y+10y+15.
In the second line we got, 3y(2y+3)+5(2y+3), we can factor out the 2y+3 and end up with (2y+3)(2y+5).
Determine the equation of the circle graphed below.
Answer:
The center of the circle is at (0, 3), and the radius of the circle is 2.
So the equation of the circle is
[tex] {x}^{2} + {(y - 3)}^{2} = {2}^{2} [/tex]
[tex] {x}^{2} + {(y - 3)}^{2} = 4[/tex]
Use a calculator to find M Angle B to the nearest 10th.
Answer:
60.3°
Step-by-step explanation:
You want the measure of angle B in right triangle ABC with leg BC = 8 and leg AC = 14.
TangentThe tangent relation is ...
Tan = Opposite/Adjacent
Applying this to the given triangle, we have ...
tan(B) = 14/8
The arctangent function gives you the angle from the tangent.
B = arctan(14/8) ≈ 60.3°
The measure of angle B is about 60.3°.
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Recall that the length a spring stretches varies directly with the amount of weight attached to it. A certain spring stretches 5cm when a 10 gram weight is attached. A) Write a direct variation equation relating the weight x and the amount of stretch y. B) Estimate the stretch of the spring when it has a 42 gram weight attached
the direct variation equation relating weight x and stretch y is: y = 0.5x , we can estimate that the spring will stretch 21cm when a 42 gram weight is attached.
A) We can use the given information to write a direct variation equation as follows:
y = kx
where y represents the amount of stretch of the spring, x represents the weight attached to the spring, and k is the constant of variation.
Using the given information, we know that when a 10 gram weight is attached, the spring stretches 5cm. Therefore:
5 = k(10)
Solving for k, we get:
k = 0.5
So the direct variation equation relating weight x and stretch y is:
y = 0.5x
B) To estimate the amount of stretch when a 42 gram weight is attached, we can use the direct variation equation we just derived:
y = 0.5x
Substituting x = 42, we get:
y = 0.5(42)
y = 21
Therefore, we can estimate that the spring will stretch 21cm when a 42 gram weight is attached.
It's important to note that this is an estimate, and there may be other factors that could affect the actual amount of stretch, such as the quality and condition of the spring. Additionally, the direct variation equation assumes that the spring behaves in a perfectly linear manner, which may not always be the case in reality. However, for simple applications like this, the direct variation equation can provide a useful estimate of the relationship between weight and stretch.
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The supplement of an angle is 30 more than twice its complement. What is the measure of the
angle?
Answer: 30
180 - x = 180 - 2x + 30
x = 30
Answer:
The measure of the unknown angle is 30°.
Step-by-step explanation:
Let the measure of the unknown angle be x°.
Supplementary angles are two angles whose measures sum to 180°.
Complementary angles are two angles whose measures sum to 90°.
Therefore, the supplement of x° is (180 - x)°, and its complement is (90 - x)°.
Given that the supplement is 30° more than twice its complement:
(180 - x)° = 2(90 - x)° + 30°
To find the measure of the angle, solve the equation:
⇒ (180 - x)° = (180 - 2x)° + 30°
⇒ 180° - x° = 180° - 2x° + 30°
⇒ 180° - x° = 210° - 2x°
⇒ 180° - x° + 2x° = 210° - 2x° + 2x°
⇒ 180° + x° = 210°
⇒ 180° + x° - 180° = 210° - 180°
⇒ x° = 30°
Therefore, the measure of the unknown angle is 30°.
Ella, Danila, and Sophia are competing in an eating contest. Their
probabilities of winning the contest are as follows:
P(Ella wins) = 0.75
P(Danila wins) = 5%
1
P(Sophia wins)
5
Put the following events in order from least to most likely.
Ella wins Sophia wins Danila wins
Answer:
The probabilities are listed as:
P(Ella wins) = 0.75
P(Danila wins) = 5% or 0.05
P(Sophia wins) = 1/5 or 0.2
To determine the order of least to most likely events:
- The probability of Danila winning is the lowest at just 5%. Therefore, Danila winning is the least likely event.
- The probability of Sophia winning (0.2) is greater than Danila's probability of winning (0.05). Hence, Sophia winning is more likely than Danila winning.
- Finally, Ella has the highest probability of winning (0.75) among all three contestants. So, Ella winning is the most likely event.
Therefore, the order of least to most likely events is: Danila wins, Sophia wins, Ella wins.
Answer: Danila, Sophia then Ella
Step-by-step explanation: I took quiz on Khan
out of 230 racers who started the marathon, 211 completed the race, 12 gave up, and 7 were disqualified. what percentage did not complete the marathon? round your answer to the nearest tenth of a percent.
the percentage of racers who did not complete the marathon is 8.3% when rounded to the nearest tenth of a percent.
To find the percentage of racers who did not complete the marathon, we need to divide the number of racers who did not complete by the total number of racers and then multiply by 100 to get a percentage.
Number of racers who did not complete = 12 + 7 = 19
Total number of racers = 230
Percentage of racers who did not complete = (19/230) x 100% = 8.3%
Therefore, the percentage of racers who did not complete the marathon is 8.3% when rounded to the nearest tenth of a percent.
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30 points + marked as brain thing
The answer of the given question based on the Compound interest the answer is option a) Rounding to 2 decimal places gives D ≈ 824.50, so the closest option provided is a) 825. Therefore, the number that goes in box D is approximately 824.50, rounded to 2 decimal places.
What is Principal?In compound interest, term "principal" refers to the initial amount of money that is invested or borrowed. The principal is starting point for calculating interest that will be earned or paid over time.
When you invest money at compound interest rate, interest earned is added to principal amount, and resulting sum becomes new principal for next interest calculation.
Based on the information provided in the image, we can calculate the value in box D by multiplying the values in boxes B and C and then dividing by 100:
D = (B × C) ÷ 100
D = (850 × 97) ÷ 100
D = 824.5
Rounding to 2 decimal places gives D ≈ 824.50, so the closest option provided is a) 825. Therefore, the number that goes in box D is approximately 824.50, rounded to 2 decimal places.
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Total equity after adding the simple interest in the amount will be $825.
What is simple interest?
Simple interest is a type of interest that is calculated only on the principal amount of a loan or investment, without taking into account any interest that may have accumulated in previous periods.
In simple interest, the amount of interest earned or owed is calculated as a percentage of the principal amount, multiplied by the time period for which the interest is being calculated.
simple interest is found using
I = P * r * t
Where I is the amount of interest earned or owed, P is the principal amount, r is the annual interest rate as a decimal, and t is the time period in years.
Now,
Assuming that the return rate of 10% is a simple annual interest rate, the total equity after one year can be calculated using the formula for simple interest:
Total equity = Principal + Interest
where the interest is calculated as:
Interest = Principal x Rate x Time
In this case, the principal is $750, the rate is 10%, and the time is one year.
Then,
Interest = $750 x 0.10 x 1 = $75
Therefore, the total equity after one year would be:
Total equity = $750 + $75 = $825
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question jenna flipped a coin 36 times, and it landed on tails 17 times. shay flipped a coin 22 times, and it landed on heads 12 times. based on these experiments, which event is more likely to occur: shay's coin landing on heads or jenna's coin landing on tails? responses
It is more likely for Jenna's coin to land on tails than for Shay's coin to land on heads. This can be solved by concept of Probability.
To determine the likelihood of each event, we need to calculate the probabilities of the outcomes. For Jenna's coin, the probability of landing on tails can be calculated as 17 tails out of 36 flips, which is approximately 0.47 or 47%.
For Shay's coin, the probability of landing on heads can be calculated as 12 heads out of 22 flips, which is approximately 0.55 or 55%.
Therefore, the probability of Shay's coin landing on heads is higher than Jenna's coin landing on tails. However, the question asks which event is more likely to occur, which means we need to compare the probabilities of the opposite outcomes.
For Jenna's coin, the probability of landing on heads is 19 out of 36, which is approximately 0.53 or 53%. For Shay's coin, the probability of landing on tails is 10 out of 22, which is approximately 0.45 or 45%.
Since the probability of Jenna's coin landing on heads is closer to 50% than Shay's coin landing on tails, we can conclude that it is more likely for Jenna's coin to land on tails than for Shay's coin to land on heads.
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find the probability of choosing a letter other than the letter s from a bag that contains the eighteen letters of the name srinivasa ramanujan. express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
The probability of choosing letter other than 's' from srinivasa ramanujan is 0.888889 ( nearest millionth)
What is probability?A probability is a number that reflects the chance or likelihood that a particular event will occur.
Probability = sample space / total outcome
For example if a fair die is rolled, the total outcome is 6, because a die has 6 faces. The probability of getting 1 = 1/6
Similarly, The number of times s appeared in the name is 2. This means sample space is 2. The total outcome is 18.
The probability of picking letter 's' out of the name is 2/18 = 1/9 = 0.111111
Therefore the probability of picking letter other than 's' is 1-0.111111 = 0.888889( nearest millionth)
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The probability of choosing a letter other than s in the name srinivasa ramanujan is 0.89
Calculating the probability of choosing a letter other than sThe name "srinivasa ramanujan" contains 2 instances of the letter "s" and a total of 18 letters.
So, the bag contains 16 letters that are not "s".
Therefore, the probability of choosing a letter other than "s" from the bag is:
16/18 = 8/9
So the probability of choosing a letter other than "s" is 8/9, which is already in its lowest terms.
Alternatively, as a decimal rounded, it is 0.89.
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The shaded area in the decimal grid below represents the amount of money that Karla has. She plans on dividing the money evenly between her three younger brothers. Her brothers are planning to spend the money on pieces of candy that cost $0.10 each.
What will be the maximum number of pieces of candy that each brother can buy?
(The large square of the grid represents $1.00 and each small square represents $0.01.)
Karla's three brothers can buy a maximum of 4 pieces of candy if they divide the money evenly.
What is division?
Division is a mathematical operation that involves splitting a quantity into equal parts or groups. It is one of the four basic arithmetic operations, along with addition, subtraction, and multiplication. Division is denoted by the symbol "÷" or "/", and it is usually expressed as a fraction or a quotient.
To solve this problem, we need to determine the amount of money represented by the shaded region. Here are the steps:
Count the number of small squares in the grid. For example, if the grid has 10 rows and 10 columns, there are 100 small squares in total.Determine the value of each small square. For example, if the large square of the grid represents $1.00, each small square represents $0.01.Multiply the number of shaded cells by the value of each small square to find the total amount of money represented by the shaded region.Assuming that each small square represents $0.01 and there are 143 shaded cells, the total amount of money represented by the shaded region is:
143 cells x $0.01/cell = $1.43
Now, we need to divide $1.43 evenly among Karla's three brothers to find the maximum number of pieces of candy each brother can buy.
$1.43 ÷ 3 = $0.476666...
Since we cannot buy fractional pieces of candy, we need to round down to the nearest whole number. Therefore, each of Karla's three brothers can buy a maximum of:
$0.47 ÷ $0.10/piece = 4 pieces of candy
So each of Karla's three brothers can buy a maximum of 4 pieces of candy if they divide the money evenly.
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A dental student is conducting a study on the number of people who visit their dentist regularly. Of the 520 people surveyed, 312 indicated that they had visited their dentist within the past year.Find the population proportion, as well as the mean and standard deviation of the sampling distribution for samples of size n=60.Round all answers to 3 decimal places.p=Up=Op=
Answer:
Step-by-step explanation:
312/520 equals 60%
other people 40%
If t represents an odd integer , which of the following expressions represents an even integer ?
A) t + 2
B) 2t - 1
C) 3t - 2
D) 3t + 2
E) 5t + 1
Answer: A) t + 2
Step-by-step explanation:
If t represents an odd integer, then it can be written as t = 2k + 1 for some integer k.
A) t + 2 = (2k + 1) + 2 = 2k + 3 = 2(k + 1) + 1, which is an odd integer.
B) 2t - 1 = 2(2k + 1) - 1 = 4k + 1, which is an odd integer.
C) 3t - 2 = 3(2k + 1) - 2 = 6k + 1, which is an odd integer.
D) 3t + 2 = 3(2k + 1) + 2 = 6k + 5 = 2(3k + 2) + 1, which is an odd integer.
E) 5t + 1 = 5(2k + 1) + 1 = 10k + 6 + 1 = 2(5k + 3) + 1, which is an odd integer.
Therefore, the only expression that represents an even integer is option A) t + 2.
Carla asked students at a lunch table what main course they like. Out of those students,
28 like pizza, 15 like chicken nuggets and 8 like both. What is the probability that a
randomly selected student will like pizza but not chicken nuggets?
A. 4/5
B. 4/7
C. 15/28
D.8/35
Answer:
28/51
Step-by-step explanation:
First you add up all the values: 28 + 15 + 8 = 51. That is your denominator because the total is the denominator. Then you put 28 as your numerator because that's how many off all the people that only like pizza.
if a random sample of size 555 is selected, what is the probability that the proportion of persons with a retirement account will differ from the population proportion by less than 5% ? round your answer to four decimal places.
The probability that the proportion of persons with a retirement account in a random sample of size 555 differs from the population proportion by less than 5% is approximately 0.8327.
We need to make some assumptions about the population proportion of persons with a retirement account and the standard deviation of the sampling distribution of sample proportions. Let's assume that the population proportion is p = 0.5 (i.e., half of the population has a retirement account) and that the standard deviation of the sampling distribution is given by:
σ = sqrt((p*(1-p))/n)
where n is the sample size.
Substituting the values given in the question, we have:
σ = sqrt((0.5*(1-0.5))/555) = 0.0258
To find the probability that the sample proportion differs from the population proportion by less than 5%, we need to find the probability that the absolute difference between the sample proportion and the population proportion is less than 0.05. This can be written as:
P(|p_hat - p| < 0.05)
where p_hat is the sample proportion.
We can standardize this expression by subtracting the population proportion from both sides and dividing by the standard deviation:
P(|p_hat - p|/σ < 0.05/σ)
P(-0.97 < Z < 0.97)
where Z is a standard normal variable. We can find this probability using a standard normal table or a calculator:
P(-0.97 < Z < 0.97) = 0.8327
Rounding to four decimal places, we have:
P(|p_hat - p| < 0.05) = 0.8327
Therefore, the probability that the proportion of persons with a retirement account in a random sample of size 555 differs from the population proportion by less than 5% is approximately 0.8327.
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An angle measures 60° more than the measure of its supplementary angle. What is the measure of each angle?
Answer:
The angles are 60° and 120°.
Step-by-step explanation:
"supplementary" means that the two angles add up to 180°.
One angle can be x.
The other angle can be x+60° bc its 60° more.
Write an equation.
x + x + 60 = 180
combine like terms.
2x + 60 = 180
subtract 60
2x = 120
divide by 2
x = 60.
Since x = 60, one angle is 60° and the other is 120° (that's 60° more) and they are supplementary.
60° + 120° = 180°
The angles are 60° and 120°.
Phillip left his house and bicycled down a trail at a rate of 12 kilometers per hour. He planned to ride his bicycle to the end of the trail, which is 28 kilometers long, and then return to his house. Christine started from Phillip’s house 20 minutes later and caught up to Phillip just as he reached the end of the trail. How fast was Christine traveling?
Answer: 14.0kph
Step-by-step explanation:
In circle P with the measure of arc NQ= 82°, find m/NPQ.
Answer:
m<NPQ= 82°
Step-by-step explanation:
Below is the explanation for the answer to the assignment.
Help me pls, i need the process too!
Answer:
D
Step-by-step explanation:
to find the percent discount we should do the follow things:
1) (40-32)/40=0.2=20%
2) (30-24)/30=0.2=20%
3) (50-40)/50=0.2=20%
4) (45-35)/45=0.2222
So the correct answer is D.
Elias calculated the discount in dollars, not in %. 3) 50$-40$=10$, 45$-35$=10$. But he made a mistake
The radius of a circle is 3 meters. What is the circle's area?
Use 3.14 for л.
Submit
square meters
Answer:
28.26 meters squared
Step-by-step explanation:
Answer:
28.26 m²
Step-by-step explanation:
The equation for the area of a circle is πr²
We're given the radius at 3 meters.
Using 3.14 for π ; 3.14×3²=28.26 meters²
does anyone know the answer for 3/7 of 1/5
Answer:
To find the answer, you need to multiply the fractions 3/7 and 1/5 together:
3/7 * 1/5 = (31) / (75) = 3/35
Therefore, the answer to 3/7 of 1/5 is 3/35.
Answer:
The word "of" in math means to multiply.
3/7*1/5= 3/35
Step-by-step explanation:
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8. A $15,000 Honda depreciates at the rate of 12% per year.
a) Write an equation.
b) How much is the car worth in 5 years?
c) To the nearest year, when will the car be worth $1000?
According to the given information, the equation is [tex]V = 15,000(1-0.12)^t[/tex], the car is worth $7,156.67 in 5 years and will be worth $1000 in 24 years.
What is the depreciation rate?
Depreciation rate is a mathematical process in which a quantity decreases over time in a manner proportional to its current value. This means that the rate of decay is proportional to the amount of the substance remaining, and as the amount of the substance decreases, the rate of decline also decreases
a) V = P(1-r)^t, where V is the value of the car, P is the initial price ($15,000), r is the depreciation rate (0.12), and t is the time in years.
[tex]V = 15,000(1-0.12)^t[/tex]
b) To find the value of the car in 5 years, substitute t = 5 into the equation:
[tex]V = 15,000(1-0.12)^5[/tex]
V = 7,156.67
The car is worth approximately $7,156.67 in 5 years.
c) To find when the car will be worth $1000, we need to solve for t in the equation:
[tex]1000 = 15,000(1-0.12)^t[/tex]
[tex]0.067 = (1-0.12)^t[/tex]
Take the natural logarithm of both sides:
ln(0.067) = t ln(0.88)
t = ln(0.067) / ln(0.88)
t ≈ 23.7
Therefore, the car will be worth $1000 in approximately 24 years.
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the ratio of purple skittles to orange skittles in the bag is 5: 2. if there are 112 skittles in the bag, how many of them are orange?
Answer is in the photo attached. Hope this helped!
The number of orange skittles in the bag is 32.
What is the ratio?Ratio is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
We are given that;
The ratio of purple skittles to orange skittles= 5:2
Total skittles= 112
Now,
Let's call the number of purple skittles in the bag "5x" and the number of orange skittles in the bag "2x", where x is a common factor.
We know that the total number of skittles in the bag is 112. So we can write:
5x + 2x = 112
Simplifying, we get:
7x = 112
Dividing both sides by 7, we get:
x = 16
Now we can find the number of orange skittles by substituting x = 16 into our expression for the number of orange skittles:
2x = 2(16) = 32
Therefore, by the given ratio answer will be 32 orange skittles in the bag.
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