MATHEMATICS MIDDLE SCHOOL

Yuron is sketching a scale drawing of a famous painting. The painting is 54 inches wide and 72 inches long. He used a scale factor of es025-1.jpg to make his sketch. How many inches wide is Yuron’s sketch?

Answers

Answer 1

Answer:

Answer:

Please clarify the scale given in the problem " es025-1"

Step-by-step explanation:

Answer 2

Answer: 54*2/3 is 36

yuron sketch is 36 inches wide

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The height, h, in feet of a ball suspended from a spring as a function of time, t, in seconds can be modeled by the equation (equation in photo). Which of the following is the graph of this equation?

Answers

Answer:

The answer is Graph 4 or D.

Also why is the other answer rated at 3 stars when it is clearly correct?

Answer:

Step-by-step explanation:

i did absolutely no work for this but i know this is right because the other person said D and it has like 5 stars

How much must be deposited today into the following account in order to have $ 65,000 in 8 years for a down payment on a house? Assume no additional deposits are made.An account with annual compounding and an APR of 4%
$
nothing should be deposited today.
(Do not round until the final answer. Then round to the nearest cent as needed.)

Answers

Answer:

$\$47,494.86$

Step-by-step explanation:

we know that

The compound interest formula is equal to

$A=P(1+(r)/(n))^(nt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=8\ years\n A=\$65,000\n r=4\%=4/100=0.04\nn=1$

substitute in the formula above

$65,000=P(1+(0.04)/(1))^(1*8)$

$65,000=P(1.04)^(8)$

Solve for P

$P=65,000/(1.04)^(8)$

$P=\$47,494.86$

Final answer:

To have $65,000 in 8 years for a down payment on a house, nothing needs to be deposited today.

Explanation:

To find the amount that must be deposited today, we can use the formula for compound interest. The formula is given by:

A = P(1 + r/n)nt

Where:

A is the future value of the investment
P is the principal amount, or the initial deposit
r is the annual interest rate (expressed as a decimal)
n is the number of times interest is compounded per year
t is the number of years

We know that the future value (A) that we want is $65,000, the annual interest rate (r) is 4% or 0.04 (expressed as a decimal), the number of times interest is compounded (n) is 1 (since it's compounded annually), and the number of years (t) is 8. We need to find the principal amount (P).

Plugging the values into the formula, we can solve for P:

$65,000 = P(1 + 0.04/1)1 * 8

First, we simplify the fraction:

$65,000 = P(1 + 0.04)8

Next, we calculate the value inside the parentheses:

$65,000 = P(1.04)8

Finally, we solve for P by dividing both sides by (1.04)8:

P = $65,000 / (1.04)8

Using a calculator, we find that P ≈ $49,207.75. Therefore, to have $65,000 in 8 years for a down payment on a house, nothing needs to be deposited today.

Learn more about Compound interest here:

brainly.com/question/14295570

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Are the two figures in the image congruent? Are they similar? What does this tell you about the geometric transformations you will need to transform one of these polygons into the other?Describe a series of at least two similar transformations that will transform polygon ABCDE into ΔA’B’C’D’E’: here is more than one way to transform polygon ABCDE into polygon A’B’C’D’E’.

Describe a second sequence of transformations that will accomplish this goal. Explain what tool you used as an aid in identifying a transformation sequence.