Answer:
$7,459.12
Step-by-step explanation:
The formula for continuous compounding is
A = Pe^(rt), where P is the original amount, A is the accumulated amount, r is the interest rate as a decimal fraction, and t is the number of years. We want to know how much he will owe on this original $5,000 credit card debt after 2 years.
A = $5,000e^(0.20*2)
= $7,459.12
Step-by-step explanation:
The formula for continuous compounding is
A = Pe^(rt), where P is the original amount, A is the accumulated amount, r is the interest rate as a decimal fraction, and t is the number of years. We want to know how much he will owe on this original $5,000 credit card debt after 2 years.
A = $5,000e^(0.20*2)
= $7,459.12
Help soon would be greatly appreciated
A home has a replacement value of $324,000. What is the amount
of the insurance if the coverage is:
a.
100% of the replacement value?
b. 90% of the replacement value?
C.
80% of the replacement value?
The insurance company will pay $192, which is the asset's present value.
What is meant by replacement value?The sum of money required to fix your house at the cost of construction materials today, or to replace your possessions at the cost of an equivalent or comparable item today the cost of purchasing a comparable asset to replace an existing one at the going rate on the market.
To be fully insured, your dwelling limit must equal at least 80% of the rebuild value of your house. The average cost of reconstructing a home per square foot in your area can be multiplied by the square footage of your home to determine the replacement cost. Market value and replacement cost are not the same thing.
Therefore,
The distribution of cost over the course of an asset's useful life is known as depreciation. It speaks of the rate at which the value of an asset depreciates over time.
When figuring out depreciation, the original value is utilized. It does not use current market value.
Over the course of the asset's useful life, the value is distributed equally.
In this instance
Depreciation per year = Asset value ÷ Years of useful life
Depreciation per year = 288 ÷ 6 = $48
The asset has been used for 2 years
Amount depreciated = 48 × 2 = $96
Present value = Original value - Depreciation
Present value = 288 - 96 = $192
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Please someone help me, if you don't know the answer don't comment at all.
Preston says the sequence of transformations that maps triangle ABC onto triangle DEF is: rotate it 180 degrees about the origin, and then translate it up 7 units.
Chanel says the sequence of transformations that maps triangle ABC onto triangle DEF is: reflect it across the x-axis, then reflect it across the y-axis, and then translate it up 6 units and left 1 unit.
Part E
Now look at Chanel’s sequence. How does a reflection across the x-axis change the coordinates of a shape?
Part I
How does a translations 6 units up and 1 unit left change the coordinates of a shape?
Part K
Whose sequence proves triangle ABC is congruent to triangle DEF? Why?
Answer:
Part E
When reflected across x axis, your y coordinate will be negative and the x coordinate will be the same. ex.
(5,4) = (5,-4)
Part I
You would add 6 to the y coordinate and subtract 1 from the x coordinate
Part K
Chanels Sequence
Step-by-step explanation:
What is the volume of Tomiko’s aquarium?
Answer:
10 x 12 x 15= 1800
Step-by-step explanation:
multiply: length x width x height
The cylindrical storage shed shown below is completely filled with road salt to make a town's roads safer during snow storms. About 21,000 cubic feet of road salt is used during a typical snow storm.
a. What is the total volume of the storage shed?
b. How many snow storms can the town expect to handle before the storage shed needs to be refilled with additional road salt?
The volume of the storage shed is 125600 ft³.
The storage shed will be refilled after using 125600 ft³ of salt.
How to find the volume of the storage shed?The cylindrical storage shed shown below is completely filled with road salt to make a town's roads safer during snow storms.
The volume of the storage shed can be found as follows;
volume of a cylinder = πr²h
where
r = radiush = heightTherefore,
r = 40 / 2 =20 ft
h = 100 ft
volume of the storage shed = 3.14 × 20² × 100
volume of the storage shed = 3.14 × 400 × 100
volume of the storage shed = 125600 ft³
Therefore, the storage shed can handle 125600 ft³ of salt before it needs to be refilled.
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a local zoo has 900 pounds of bamboo to feed the giant panda. Each day, the giant panda eats 30 pound of bamboo. An accident happens and 125 pounds of the bamboo cannot be fed to the giant panda Determine the range of the number of days the zoo has more than 500 pounds of bamboo left.
The range of days to have 500 pounds left is 30 - 17.5 days
What is range?The range is the difference between the highest and lowest values in a set of numbers. To find it, subtract the lowest number in the distribution from the highest.
For example the range in the ages 10,15,11,12,18 of students in a class is 18-10 = 8
The maximum days to feed the giant panda if the giant panda feeds on 30pounds per day is 900/30 = 30days
but due to accident 125 pounds are not good
Therefore the new pound of bamboo = 900- 125 = 875 pounds
The range of pounds when the minimum pound is 500 = 875-500 = 375 pounds
therefore no of days on 375 pounds = 375/30 = 12.5
Therefore the range of days to have more thanq 500 pounds = 30-12.5 = 17.5 days
The range of days the zoo has more than 500 pounds of bamboo is 30 - 17.5days
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simplify the following algebraic expressions.
-2x + 5 + 10x - 9
3(x + 7) + 2(-x + 4) + 5x
Answer: 8x-4
6x+29
Step-by-step explanation:
Consider the following problem:
The length s(t) of the side of the base of a square prism is decreasing at a rate of 7
kilometers per minute and the height h(t) of the prism is increasing at a rate of 10
kilometers per minute. At a certain instant to, the base's side is 4 kilometers and the
height is 9 kilometers. What is the rate of change of the surface area A(t) of the
prism at that instant?
Match each expression with its given value.
The rate of change of the surface area A(t) of the prism is 136 kilometers per minute.
What does rate of change mean?
An indicator of how one quantity changes in proportion to another is called a rate of change. If x and y are the independent and dependent variables, respectively, then the rate of change is equal to y-to-x conversions. Positive or negative change rates are possible.
Surafce area of a prism is equal to
2(Area of base) + (perimeter of base)(height)
2b^2+4bh
[tex]S=2b^2+4bh[/tex]
[tex]\frac{ds}{dt}=4b\frac{db}{dt} + 4b\frac{db}{dt} + 4h\frac{db}{dt} \\[/tex]
It is given that db/dt= -7 and dh/dt -=10.
At a particular instant b= 4km, h=9 km.
Now we will substitute the values in this formula:
[tex]\frac{ds}{dt}=-4*4*7-4*4*7+ 4*9*10\\\frac{ds}{dt}=136[/tex]
The rate of change of the surface area A(t) of the prism is 136 kilometers per minute.
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Write the product of 0.4*0.4*0.4 in exponential form
Answer:
It is 6.4*10^-2.
this is your answer
A person places $3090 in an investment account earning an annual rate of 3%, compounded continuously. Using the formula V = Pe^{rt}V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 11 years.
Answer:
V=4298.0915\approx 4298.09
V=4298.0915≈4298.09
Step-by-step explanation:
4 is greater than x, and x is greater than -7. Write the following as an inequality.
Where did u get the 55 and 88 from?
Answer:
11
Step-by-step explanation:
11 times 5 is 55
11 times 8 is 55
round to the nearest tenth
Answer:
A) 1017.9
Step-by-step explanation:
the radius is the bottom line which is 9
The height is the line on the inside which is 12
1/3 x 3.14 x [tex]9^{2}[/tex] x 12= 1017.36
but if you were to answer it with the pi symbol you would get the estamite of 1017.88 which rounded to the tenths is 1017.9
A student says that the x-intercept of a line is (0,-10,). Is the student correct? Explain.
Answer:
Yes, the student is correct
Step-by-step explanation:
Given
[tex](0,-10)[/tex]
Required
Does it represent the x intercept
At the x intercept, the value of x is 0.
So, the function [tex](x,y)[/tex] becomes [tex](0,y)[/tex]
[tex](0,-10)[/tex] can be compared to [tex](0,y)[/tex]
Hence, the student is correct
Find the slope of the line in which x=-24
Answer:
it is undefined
Step-by-step explanation:
Slope of the line x=-24 is undefined. We'll compare the line x = -24, with x = h. So this line is a vertical line that is parallel to the y-axis. We know that the slope of the y-axis is undefined. Since x=-24 and y-axis are parallel, so x=-24 will have the same slope, that is undefined.
Answer:
undefined slope
Step-by-step explanation:
When you have the line x=-24, you have a vertical line, where the x-value is constant, given in the equation, but the y-value varies between negative infinity and positive infinity. If we were to plug two points into the slope formula, we would get: [tex]\frac{y_2-y_1}{-24-(-24)}\to\frac{y_2-y_1}{0}[/tex], because there is no change in x, the x values are the same. Thus it is said that the slope is undefined.
25 points need HELP !!
A fair, unbiased coin was flipped 10 times, giving the results shown in the table, where T = tails and H = heads.
Flip 1 2 3 4 5 6 7 8 9 10
Result T T T H T T T H T T
What is the difference between the theoretical and experimental probabilities of getting heads?
A. 0.5
B. 0.0
C. 0.3
D. 0.1
Answer:
c 0.3
Step-by-step explanation:
there is are 50/50 chance when a coin is flipped but according to the data it is 80/20 so if to take 80-50=30 so it is a 0.3 change in probability.
The difference between the theoretical and experimental probabilities of getting heads is 0.3.
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
Given that,
A fair, unbiased coin was flipped 10 times.
The result is shown in the table.
Total number of outcomes = 10
For the experimental probability,
Number of heads = 2
Experimental Probability of getting heads, E = 2/10 = 0.2
For the theoretical probability,
Theoretical Probability of getting heads, T = 1/2 = 0.5
Difference = 0.5 - 0.2 = 0.3
Hence the difference is 0.3.
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Which expression represents “one half of x
The expression which represents "one half of x" is option B. x ÷ 2.
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
The given variable is x.
One half of x means that the variable is made in to half of the original value.
Half means numerically as 1/2.
So the half of x means the x is multiplied with 1/2.
This is equal to x/2.
This is similar to x ÷ 2.
Hence the correct option is B. x ÷ 2.
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pleaseee helpppp this is so frustrating pleaseeeeee helloppppp!!
Answer:
YXZ is an acute angled equilateral triangle
x=60°
One small circle is completely inside a larger circle. Both circles share the same center point. Calculate the area of the shaded region. Use 3.14 for Pi
Answer:
The smaller circle lies completely inside the bigger circle without touching each other at a point of circumference. If this case happens, the sum of the distance between the centres and smaller radius is lesser than the bigger radius, then obviously the smaller circle lies completely inside the circle, without touching the circumference.
Step-by-step explanation:
The stranger decides to tell the captain his story. From the look on the stranger's face in Frankenstein, what kind of a story does the captain think he will hear?
A. A love story
B. A strange and harrowing story
C. A story that is funny and entertaining
D. A story that is boring and he really is not interested in hearing it
Answer: B strange and harrowing story.
Step-by-step explanation: Based on the description of the stranger's face in the novel, it is likely that the captain would expect the stranger to tell a strange and harrowing story. The stranger's face is described as "wild" and "ghastly," which suggests that the story he is about to tell may be disturbing or unsettling in some way. The captain may also expect the story to be emotionally intense, given the stranger's appearance and demeanor.
One side of a triangle is 7 feet longer than the second side. The third side is 2 feet longer than the second side. The perimeter of a triangle is 42 feet. Find the length of each side.
Answer: second 11
first 18
Second 13
Step-by-step explanation:
3. Assume all angles are right angles. What is the area of the figure? 12 m 8 m 10 m 16 m 12 m 12 m 1536 square meters b. 408 square meters C. 360 square meters d. 102 square meters
C. 360 Square meters
........
The total area is 360 square meter.
What is Area?Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies.
Given:
We get Three Rectangle
First Rectangle:
length = 12 m
width = 16 m
So, Area = 12 x 16 = 192 square meter.
Second Rectangle:
length = 8 m
width = 12 m
So, Area = 8 x 12 = 96 square meter.
Third Rectangle:
length = 12 m
width = 6 m
So, Area = 12 x 6 = 72 square meter.
Thus, the total area = 192 + 96+ 72 = 360 square meter.
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HELP
M Y BRO HE NEEDS HELP
Answer:
4,2
Step-by-step explanation:
Isosceles mean two sides are same
My Question:
Why were there so many people on this question?
Draw the image of AABC under the translation (x,y) → (x,y+3)
Answer:
Move the image up the y-axis 3
Step-by-step explanation:
+ means up because it's on the y axis
Which is the following closet to 1/2+1/3
Answer:
0.5
Step-by-step explanation:
you have 1/2+1/3 so you take the numerator of the first fraction and multiply it, and do the same for the numerator of the second fraction. you should be left with 2 & 3. you add those two together and there is your answer. if i am wrong please tell me so i can find the mistake.
HELP PLEASE DUE TODAY
List the data points.
Answer:
This is easy but ok? 1, 2, 3. Seems to easy...
Step-by-step explanation:
A data point or observation is a set of one or more measurements on a single member of the unit of observation.
what is 0.10x10= ?
(i know how to do this but im very stuck on this one)
Answer:
Its 1 because you are moving the digits 1 place to the right
Step-by-step explanation:
The recipe Troy is using calls for 1 cup of cocoa. Troy added another
cup. What was the percent of change?
The percent of change can be calculated by taking the difference between the new value and the original value, divided by the original value, and then multiplying by 100 to express the result as a percentage.
In this case, the original value is 1 cup of cocoa and the new value is 2 cups of cocoa (since Troy added another cup). The difference between the two values is 1 cup.
So the percent of change would be:
(1 / 1) * 100 = 100%.
This means that the quantity of cocoa increased by 100% by adding 1 cup cocoa.
Timothy bought a house for $360,000. He paid 20% down, and agreed to pay $1,375.69 per month for 30 years. His payment of $1,375.69 does not include property tax and insurance. How much interest will Timothy pay in 30 years?
It's difficult to determine exactly how much interest Timothy will pay over 30 years without more information about the terms of his mortgage. However, we can use the following formula to calculate his monthly mortgage payment, which includes both the principal and the interest:
Monthly payment = P * (r/12) / (1 - (1 + r/12)^(-n))
Where:
P is the principal amount (the total cost of the house minus the down payment)
r is the monthly interest rate (we need to convert the annual interest rate to a monthly rate by dividing it by 12)
n is the number of payments (in this case, the number of months over which Timothy will pay off the mortgage, which is 30 years * 12 months/year = 360 months)
We can plug in the given values to find Timothy's monthly payment:
Monthly payment = $360,000 * (0.04/12) / (1 - (1 + 0.04/12)^(-360)) = $1,375.69
To find the total amount of interest Timothy will pay over 30 years, we would need to know the interest rate on his mortgage and the length of the loan in months. With this information, we could calculate the total amount of interest Timothy will pay by multiplying his monthly payment by the number of payments he makes (360 payments in this case) and subtracting the principal amount ($360,000).
Last year there were 90 players in the So Cal Soccer League. This year, the enrollment decreased by 30%. How many players are now in the league?
If n is a two-digit number, what is the sum of the digits of 99×n?
Answer: The sum of the digits of 99 × n is 27 - 10 = 17.
Step-by-step explanation:
To find the sum of the digits of 99 × n, we can use the fact that 99 × n = 100 × n - n. The sum of the digits of 100 × n is simply n, since the hundreds digit is zero. Therefore, the sum of the digits of 99 × n is equal to the sum of the digits of n - n, which is simply zero.
For example, if n = 37, then 99 × n = 99 × 37 = 3,699. The sum of the digits of 3,699 is 3 + 6 + 9 + 9 = 27. The sum of the digits of 37 is 3 + 7 = 10. Therefore, the sum of the digits of 99 × n is 27 - 10 = 17.