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Leya [2.2K]
3 years ago
13

A house with an original value of increased in value to in years. What is the ratio of the increase in value to the original val

ue of the house?
Mathematics
1 answer:
Anika [276]3 years ago
6 0

Answer:

Ratio of the increase in value to the original value will be 1 : 5

Step-by-step explanation:

This question is incomplete; Here is the complete question.

A house with an original value to $150,000 increased in value to $180,000 in 5 years. what is the ratio of the increase in value to the original value of the house?

Original value of the house = $150000

Value of the house after 5 years = $180000

Appreciation in value of the house after 5 years = $180000 - $150000

= $30000

Now the ratio of the increase in value to the original value = \frac{\text{Increased value}}{\text{Original value}}

= \frac{30000}{150000}

= \frac{1}{5} or 1 : 5

Therefore, ratio of the increase in value to the original value of the house is 1 : 5

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Write (8a^-3)^-4/3 in simplest form. <br><br> Please show your work!
german

Answer:

(a/2) ^4  or a^4/16

Step-by-step explanation:

(8a^-3)^-4/3

split into two parts

8^ -4/3   *  (a^-3)^-4/3

using the power to the power rule we can multiply the exponents

8^(-4/3)  *a^(-3*-4/3)

8^ (-4/3) * a^(4)

replace 8 with 2^3

(2^3)^(-4/3) * a^(4)

using the power to the power rule we can multiply the exponents

2^(3*-4/3) * a^(4)

2 ^ (-4) * a^4

the negative exponent means it goes in the denominator if it is in the numerator

a^4/2^4

make a fraction

(a/2) ^4

or a^2/16

8 0
3 years ago
Read 2 more answers
22. Find the average of the following numbers: 15, 12, 14, 11, 13. Which
Alekssandra [29.7K]

Answer:

I'm not sure what method this was but I added up all the numbers and divided it by 5.

Step-by-step explanation:

The answer is 13. I added up all the numbers to get 65. Then, I divided 65 by 5 to get 13. Hope this helped!

4 0
3 years ago
Let $ 500 be paid at the end of each quarter for 5 years. If the interest is earned rate of 13%, compounded quarterly, find the
kap26 [50]

Answer:

Future value of annuity (FV) = $13,782.12 (Approx)

Step-by-step explanation:

Given:

Periodic payment p = $500

Interest rate r = 13% = 13%/4 = 0.0325 (Quarterly)

Number of period n = 5 x 4 = 20 quarter

Find:

Future value of annuity (FV)

Computation:

Future\ value\ of\ annuity\ (FV)=p[\frac{(1+r)^n-1}{r} ] \\\\Future\ value\ of\ annuity\ (FV)=500[\frac{(1+0.0325)^{20}-1}{0.0325} ] \\\\Future\ value\ of\ annuity\ (FV)=13,782.1219 \\\\

Future value of annuity (FV) = $13,782.12 (Approx)

7 0
2 years ago
A metal can is a cylinder with a radius of 3 in. and a height of 6 in.
iVinArrow [24]

Answer:

169.56

Step-by-step explanation:

54*3.14 = 169.56

this is the answer on the test

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3 years ago
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