[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2000\\ r=rate\to 4.8\%\to \frac{4.8}{100}\dotfill &0.048\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &10 \end{cases} \\\\\\ A=2000\left(1+\frac{0.048}{12}\right)^{12\cdot 10}\implies A=2000(1.004)^{120}\implies A\approx 3229.06[/tex]
Find the value of cos 0 if sin 0 = 4/5 and O is in the first quadrant.
we know that sin(θ) is 4/5, and we also know that θ is in the I Quadrant, where sine and cosine are both positive, so
[tex]sin(\theta )=\cfrac{\stackrel{opposite}{4}}{\underset{hypotenuse}{5}}\qquad \qquad \textit{let's find the \underline{adjacent side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{5^2-4^2}=a\implies \pm 3=a\implies \stackrel{I~Quadrant}{+3=a}~\hfill cos(\theta )=\cfrac{\stackrel{adjacent}{3}}{\underset{hypotenuse}{5}}[/tex]
If a person who is 5. 5 feet tall throws a baseball into the air, the path can be modeled using the table of values, where x represents the time in seconds and y is the height of the ball in feet.
x y
0 5. 5
1 7. 35
2 8. 9
3 10. 15
4 11. 1
5 11. 75
Which quadratic equation models the data in the table?
y= −0. 25x2 + 2x + 5. 5
y= −0. 35x2 + 2x + 5. 5
y= −0. 27x2 + 3x + 5. 5
y= −0. 15x2 + 2x + 5. 5
The data in the table is an illustration of a quadratic equation, and the quadratic equation that models the data is (d) y = -0.15x² + 2x + 5.5
How to determine the quadratic model?A quadratic model is represented as:
y = ax² + bx + c
Using the point (x,y) = (0,5.5);
We have:
a(0)² + b(0) + c = 5.5
This gives
c = 5.5
Substitute c = 5.5 in y = ax² + bx + c
y = ax² + bx + 5.5
Using the point (x,y) = (1,7.35);
We have:
a(1)² + b(1) + 5.5 = 7.35
This gives
a + b + 5.5 = 7.35
Subtract 5.5 from both sides
a + b = 1.85
Using the point (x,y) = (2, 8.9);
We have:
a(2)² + b(2) + 5.5 = 8.9
This gives
4a + 2b + 5.5 = 8.9
Subtract 5.5 from both sides
4a + 2b = 3.4
Divide through by 2
2a + b = 1.7
Subtract a + b = 1.85 from 2a + b = 1.7
2a - a + b - b = 1.7 - 1.85
This gives
a = -0.15
Substitute a = -0.15 in 2a + b = 1.7
-2 * 0.15 + b = 1.7
This gives
-0.3 + b = 1.7
Add 0.3 to both sides
b = 2
Substitute a = -0.15 and b = 2 in y = ax² + bx + 5.5
y = -0.15x² + 2x + 5.5
Hence, the quadratic equation that models the data in the table is (d) y = -0.15x² + 2x + 5.5
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#SPJ1
i need help ASAP worth 100Pts
#b
Attached
#a
y=x²y=2(x-2)²+1So
General equation of parabola
y=a(x-h)²+klet's note the changes
The value of a is changed from 1 to 2 ,hence change in focus .x² is turned to (x-2)² ,hence change in x axis (2 units right)+1 is added hence the y coordinate of vertex goes 1 units up .Vertex of first one is at (0,0) but second one is at (2,1)Answer:
Transformation of f(x) to g(x):
Translation of 2 units rightVertical stretch by a factor of 2Translation of 1 unit up(see attachment for graphs)
Step-by-step explanation:
Translations
For a > 0
[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]
[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]
[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]
[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]
[tex]y=a\!\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis (vertically) by a factor of}\:a[/tex]
[tex]y=f(ax) \implies f(x) \: \textsf{stretched parallel to the x-axis (horizontally) by a factor of} \: \dfrac{1}{a}[/tex]
Parent function:
[tex]f(x)=x^2[/tex]
Translated 2 units to the right:
[tex]\implies f(x-2)=(x-2)^2[/tex]
Stretched vertically by a factor of 2:
[tex]\implies 2f(x-2)=2(x-2)^2[/tex]
Translated 1 unit up:
[tex]\implies 2f(x-2)+1=2(x-2)^2+1[/tex]
Therefore, the transformation of f(x) to g(x) is:
Translation of 2 units rightVertical stretch by a factor of 2Translation of 1 unit upLearn more about translations here:
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help please fast!!!!!!!!
Answer:
Step-by-step explanation:
If there is only ONE output for each INPUT it can be a function
From top
Y N Y Y N Y
b) look at the second one
put in 30 days out put = april jun aug nov one input 4 outputs
so it is not a function
PLEASEE HELPP
Explanation and correct=BRAINLIEST!!!!
Answer: B. The ball is less likely to be a racquetball than a golf ball.
Step-by-step explanation:
Imagine a bin. You are storing different sports balls in the bin. You put 20 baseballs, 24 golf balls, 9 tennis balls, and 6 racquetballs in the bin. Can you name which ball is most likely to be chosen if you grabbed one out at random? The answer is the golf ball.
This is because there are more golf balls than any other type of ball. For example, there are 24 golf balls, yet there are only 20 baseballs. This means that you are more likely to pick a golf ball.
Remember that there are 6 racquetballs while there are 24 golf balls. There are 4 times more golf balls than racquetballs in the bin. This means that you are 4 times more likely to pick a golf ball than a racquetball when you take a ball out of the bin at random.
Since there are many more golf balls than racquetballs, you are more likely to grab a golf ball than a racquetball. This means that the ball is less likely to be a racquetball than a golf ball.
(If you are confused, imagine freshly baked cookies. You cooked 12 cookies.
8 cookies are chocolate chip
3 cookies are oatmeal raisin
1 cookie is peanut butter.
If you grab a cookie at random, with your eyes closed, you are most likely to pick the chocolate chip cookies. This is because there are more chocolate chip cookies than oatmeal raisin cookies or peanut butter cookies)
What is the value of x in the equation −25x−2=18?
Answer:
x = -0.8
Step-by-step explanation:
-25x - 2 = 18
-25x -2 - 2 = 18 - 2
-25x = 16
-25x/-25 = 16/-25
x = -0.8
Answer:x=4/5
Step-by-step explanation: First you add two to both sides to cancel out the -2.Next you simplify and add the numbers.Finally, you divide both sides and simplify.
HELLPPPPPPPPPPPP!!!!!!!!!!!!! I NEED HELP I GOT 1 MIN OR LESS
Find the surface area of a square pyramid with base edges of 8 feet. The height of each lateral face is 15 feet. Explain or show how you got your answer.
[tex]\sf\large\underline{\star Given:-}[/tex]
[tex]\rightarrow[/tex] Measure of its each edge = [tex]\sf\red{8feet.}[/tex]
[tex]\rightarrow[/tex] Height of each lateral surface (or slant height) = [tex]\sf\red{15feet.}[/tex]
[tex]\sf\large\underline{\star To\: Find:-}[/tex]
Surface area of the given square pyramid.[tex]\sf\large\underline{\star Formula \:Used:-}[/tex]
[tex]\rightarrow[/tex] Surface Area of square pyramid = [tex]\sf\blue{a^2+2al}[/tex]
Where,
[tex]\sf\pink{a^2}[/tex] [tex]\sf{=\: Area \: of\: base.}[/tex]
[tex]\sf\pink{a}[/tex][tex]\sf{=\: Side \:of \:the\: base.}[/tex]
[tex]\sf\pink{l}[/tex][tex]\sf{=\: Slant \:height}[/tex]
[tex]\sf\large\underline{\star Solution:-}[/tex]
[tex]\rightarrow[/tex] Surface Area of square pyramid = [tex]\sf{a^2+2al}[/tex](putting the value of [tex]\sf{a^2}[/tex], a and l)
[tex]\rightarrow[/tex] [tex]\sf{=\: 8^2+2(8×15)}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{=\: 304feet^2}[/tex]
Therefore, surface area of the given square pyramid [tex]\sf\purple{=\: 304feet^2.}[/tex]
___________________________________
Hope it helps you:)
A map of the United States is displayed in the classroom with a scale of
0.25
how long the
drawing would be of a road that is 10 miles long.
A. 0.025 cm
B. 0.25 cm
C. 2.5 cm
D. 25 cm
What is the equation of the line that passes
through the point (3, 1) and the point (6,-1)?
Answer:
C.
Step-by-step explanation:
Hope this helped!
100 POINTS AND BRAINLIEST!!!! SHOW YOUR WORK!!!!!!!!
Solve for x to the nearest tenth.
Answer:
I got x= 57 degree
Step-by-step explanation:
Steps in the photo-
Answer:
57 degree
Step-by-step explanation:
Like what he said.
SOMEONE HELP I NEED THE WHOLE ANSWER WITH WORK FOR TONIGHT
Answer:
325 or 325/1
Step-by-step explanation:
The formula for slope is:
y1 - y2/x1 - x2
Plugging the numbers in gives you:
40 - 690/0-2
Do subtraction first:
-650/-2
Two negatives make a positive and simplifying the fraction gives you:
325 or 325/1
Whichever makes you happier
(Also, remember that slope is rise/run, which is why it is y/x not the other way around(When graphing you go left/right then up/down))
Hope this helps you :)
Rosa earns $120 per week tutoring math. Each week, she puts 36$ from her paycheck in a bank account to save for college. Find the amount Rosa saves out of $100.
Answer:
30
Step-by-step explanation:
You can do 36*100=3600 and do 3600/120. This is a very simple way to get 30 out of 100
Answer: $30
Step-by-step explanation: If she saves $36 when she earns $120, then she saves *amount =36/120 ×100
Amount saved with $100 earning is $30
According to the calculator, by year 10, the majority of demarco and tanya’s payment will go toward the . by year 20, the majority of demarco and tanya’s payment will go toward the . over time, the amount paid toward the principal will .
The correct options are interest, principal, increase.
According to the calculator, by year 10, the majority of demarco and Tanya’s payments will go toward the. by year 20, the majority of demarco and tanya’s payments will go toward the.
over time, the amount paid toward the principal will.
1. interest
What is the meaning of interest?Interest is a fee paid for borrowing money or other assets
2. principal
3. increase
Therefore the correct options are interest,principal,increase
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According to the calculator, by year 10, the majority of Demarco and Tanya’s payment will go toward the
✔ interest
.
By year 20, the majority of Demarco and Tanya’s payment will go toward the
✔ principal
.
Over time, the amount paid toward the principal will
✔ increase
.
2 A cone has a volume of 1086 and a base diameter of 12. What is the height of the cone? (1) 27 (3) 3 (2) 9 (4) 4
well, if its base has a diameter of 12, that means its radius is half that, or 6.
[tex]\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=6\\ V=1086 \end{cases}\implies 1086=\cfrac{\pi (6)^2 h}{3}\implies 3528=36\pi h \\\\\\ \cfrac{3528}{36\pi }=h\implies 31.19\approx h[/tex]
Find mIJ
A. 100°
B. 110°
C. 150°
D. 2500
Answer:
c is the answer try C
Step-by-step explanation:
The table shows a schedule of inga’s payment plan for a car. inga’s payment plan for the first 3 years year balance monthly payment end of year balance 1 $19,691.28 $273.49 $16,409.40 2 $16,409.40 $273.49 $13,127.52 3 $13,127.52 $273.49 $9,845.64 how many more years will it take inga to pay off the loan? 2 years. 3 years 4 years 6 years
Inga needs 3 more years to pay off the whole amount.
What is the monthly payment?A portion of the monthly payment is called the principal, which is the original amount borrowed.
First year balance = $19,691.28
Monthly payment = $273.49
Annual payment = 273.49×12 = $3281.88
Remaining balance after 1 year = 19,691.28 - 3281.88 = $16,409,4
After 3 years balance = $9845.64
Remaining balance after payment (4 years) = 9845.64-3281.88 = $6563.76Remaining balance after payment (5 years) = 6563.76-3281.99 = 3281.88Remaining balance after payment (6 years) =3281.88-3281.88 = 0Hence, Inga needs 3 more years to pay off the whole amount.
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Answer:
3 years
Step-by-step explanation:
I did the test.
E-DG-E
Trees that are cut down and stripped of their branches for timber are
approximately cylindrical. A timber company specializes in a certain type
of tree that has a typical diameter of 50 cm and a typical height of about
10 meters. The density of the wood is 380 kilograms per cubic meter, and
the wood can be sold by mass at a rate of $4. 75 per kilogram. Determine
and state the minimum number of whole trees that must be sold to raise
at least $75,000. *
From the calculations, the number of whole trees that can be sold at $75,000 is 21 trees.
What is density?Density is defined a the mass per unit volume. Now we have the following;
Diameter = 50 cm or 0.5 m
height = 10 meters
volume = ?
Density of the cylinder = 380 Kg/m^3
Now;
We can get the volume from;
V = πr^2h
V = 3.142 * (0.5/2)^2 * 10
V = 1.96m^3
From;
D = m/V
m = DV
m = 1.96m^3 * 380 Kg/m^3
m = 744.8 Kg
If 1 Kg of wood is sold at $4. 75
744.8 Kg is sold at 744.8 Kg * $4. 75/ 1 Kg
= $3537.8
Number of whole trees to be sold at $75,000= $75,000/$3537.8
= 21 trees
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One angle of a triangle is twice the second angle. The third angle is three times the second angle. Find each angle
Adult panda weights are normally distributed with a mean of 200 pounds and a standard deviation of 20 pounds. The largest pandas weigh over 250 pounds.
Approximately what percent of the adult pandas weight over 250 pounds?
0.62%
98.61%
1.39%
98.38%
0.62% of the adult pandas weight over 250 pounds
What is z score?
Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
z = (raw score - mean) / standard deviation
Given mean of 200 pounds and a standard deviation of 20 pounds.
For x > 250 pounds:
z = (250 - 200) / 20 = 2.5
P(z > 2.5) = 1 - P(z < 2.5) = 1 - 0.9938 = 0.62%
0.62% of the adult pandas weight over 250 pounds
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An arts and crafts store has a crate that contains glass, wood, and brass beads
Answer:
You're going to need more to this question
Step-by-step explanation:
what is the rest of it
The teacher of a seventh-grade class flipped a coin 100 times. The students recorded the results in the table shown below:
Side of Coin Landed On Heads Tails
Number of Flips 54 46
Which of the following best describes the experimental probability of getting heads?
The experimental probability is the same as the theoretical probability.
The experimental probability is 4% lower than the theoretical probability.
The experimental probability is 4% higher than the theoretical probability.
The experimental probability cannot be concluded from the data in the table.
Answer: Answer: Third option is correct.
Step-by-step explanation: Step-by-step explanation:
Since we have given that
Number of heads = 56
Number of tails = 44
Total number of flips = 100
So, Probability of getting head is given by
Theoretical probability of getting head is given by
There is a difference of
0.54-0.50=0.04 = 4%
Hence, the experimental probability is 4% higher than the theoretical probability.
Therefore, Third option is correct.
Answer:
The experimental probability is 4% lower than the theoretical probability.
Step-by-step explanation:
because i took this before and got it right
The frequency table shows the ages of the actors
in a youth theater group. What percent of the
actors are 10 to 12 years old?
The percentage of youth that are category 10 to 12 is the quotient of their frequency to the total frequency
55% of the actors are 10 to 12 years old
How to determine the percentage?From the complete question, we have the following parameters
Age 10 - 12 = 22 youthsTotal youth = 40The percentage of youth in the age category 10 - 12 is then calculated as:
Percentage = Frequency of age category 10 - 12/Total frequency
This gives
Percentage = 22/40
Evaluate the quotient
Percentage = 55%
Hence, 55% of the actors are 10 to 12 years old
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Janny went to the library at 3:45pm and left at 7:45 pm. How long was she at the library?
went at 3:45 PM
left at 7:45 PM
to find:the duration she was at the library.
solution:( to find the duration just find the difference of the time she left and she went.
= 4 hours
so, she was at the library for 4 hours.
Two airplanes leave the airport. Plane A departs at a 41° angle from the runway, and plane B departs at a 43° angle from the runway. Which plane was farther away from the airport when it was 5 miles from the ground? Round the solutions to the nearest hundredth.
Question 9 options:
Plane A because it was 20.71 miles away
Plane A because it was 27.43 miles away
Plane B because it was 16.79 miles away
Plane B because it was 26.39 miles away
Answer:
Plane A because it was 27.43 miles away
Step-by-step explanation:
~Kandy~
hope this helped!
brainliest please!
lol, just answered my own question.
28
A principal gathered data about the distance, in miles, that his teachers and bus drivers
live from the school. The box plots below show these data.
DISTANCE FROM THE SCHOOL
Bus Drivers
Teachers
10 15 20 25 30 35 40
Distance from School (miles)
Based on the box plots, which statement is true?
A
The interquartile range of the distances for the bus drivers is twice the
interquartile range of the distances for the teachers.
B
The range of the distances for the teachers is twice the range of the distances for
the bus drivers.
The interquartile range
of the distances for the bus drivers is 5 miles less than the
C
interquartile range of the distances for the teachers.
D
The range of the distances for the teachers is 5 miles less than the range of
the
distances for the bus drivers.
[tex]\huge\color{pink}\boxed{\colorbox{Black}{♔︎Answer♔︎}}[/tex]
C
Answer: C. The interquartile range of the distances for the bus drivers is 5 miles less than the interquartile range of the distances for the teachers.
pls help
ps it says to show all work
Answer:
18
Step-by-step explanation:
x =27-9
=18
I hope it's helpful for youaye what is 2x3x5/7x8
Answer:
.5357
Step-by-step explanation:
Follow PEMDAS
Multiplication (M) comes before division (D)
Therefore, solve the multiplication expressions first:
2 * 3 * 5 = 30
and
7 * 8 = 56
Now Division:
30 / 56 = .5357
What is the greatest common factor of 722 and 18?
Answer:
3 hope it helps
2
Solution:The greatest common factor, or GCF, of 722 and 18 is 2.Why? Because 722 and 18 are evenly divisible by 2.722 is not evenly divisible by 3, 6, 9, or 18 (the other factors of 18, except 1, which is a factor of all numbers).Therefore, the GCF is 2.Hope it helps.
Do comment if you have any query.
Akira's dog will be having four puppies. Akira performs a
simulation by tossing a coin to model whether these
puppies will be male or female.
• Let heads (H) = female puppy
• Let tails (T) = male puppy
The results of the simulation are:
1. THHT 6. HHHT
2. HTHH 7. HHTT
3. HTTH 8. THTH
4. TTTH 9. HHTT
5. TTTH 10. HTHH
What is the estimated probability that at least two of the puppies will be
female?
Answer:
u didnt put the anwsers but its 80% percent now can i have brainliest pls ty
Step-by-step explanation:
I need help on 20. Please e provide step-by-step explanation.
Answer:
The son is 13 and the father is 39,
Step-by-step explanation:
x= dad's age
y= 1/3x= boy's age
x+y=52
Substitute y=1/3x
x+1/3x=52
1 1/3x= 52
4/3x= 52
Multiply by reciprocal on both sides
(3/4)(4/3x)= (52)3/4)
x= (52*3)/4
x= 156/4
x=39 dad's age
Substitute x answer in to find boy's
y= 1/3x= 1/3(39)= (1*39)/3= 39/3= 13 boy's age
Check:
13+39= 52