asked 43.9k views
5 votes
An investment is currently worth 1.035×108 dollars . Thirty years ago, the investment was worth ​ 2.3×105 ​ dollars. How many times greater is the value of the investment today than the value of the investment thirty years ago? A. 0.45 B.450 C.4500 D. 45,000

asked
User Nedvajz
by
8.8k points

2 Answers

7 votes

Answer: B. 450

Explanation:

Given: An investment is currently worth =
1.035*10^8 dollars .

Thirty years ago, the investment was worth =
​2.3*10^5 ​dollars.

Now, the number of times the value of the investment today than the value of the investment thirty years ago is given by :-


n=(1.035*10^8)/(​2.3*10^5)\\\\=0.45*10^(8-5)........\text{Since }a^na^m=a^(m+n)\\\\=0.45*10^3\\\\=0.45*1000=450

Hence, the value of the investment today is 450 times greater than the value of the investment thirty years ago.

answered
User Shanda
by
8.8k points
6 votes

The correct option is: B. 450

Explanation

Current value of the investment is
1.035* 10^8 dollars and 30 years ago, the value of the investment was
2.3* 10^5 dollars.

Suppose, the value of investment today is
n times greater than the value of the investment thirty years ago.

So, the equation will be........


n(2.3* 10^5)=1.035* 10^8\\ \\ n= (1.035* 10^8)/(2.3* 10^5)=0.45* 10^3 = 450

Thus, the value of the investment today is 450 times greater than the value of the investment thirty years ago.

answered
User Petko Kamenov
by
7.9k points
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