Question

Given the following table, determine the missing value.

Growth Factor: 1.01 1.45 4.61 1.30

Percent: 1% 45% 361% ?

a. 130% c. 70% b. 30% d. 13%

Answer 1

b. 30%

Explanation:

Answer 2

Answer: b. 30%

Explanation:

We know that if the growth is exponential , then the growth factor is given by :-

`G=(1+r)`, where r is the rate of growth.

From the given table, the percent corresponding to the growth factor 1.30 is missing.

Now, substitute G = 1.30 in the above formula we get

`1+r=1.30\\\\\Rightarrow\ r=1.30-1\\\\\Rightarrow r=0.30`

In percent,
`r=0.30*100=30\%`

Hence, the missing value is 30%.