Question

you have $6000 to invest in two stock funds. The first fund pays 5% annual interest and the second account pays 9% annual interest. If after a year you have made $380 in interest, how much money did you invest i each account

Answer 1

Answer:

Amount of money invested is $2,000 and $4,000

Explanation:

In this question, we are asked to calculate how much was invested in two different accounts given the amount of money invested in both accounts.

Let the amount of money invested in both accounts be a and b respectively.

Mathematically;

A + B = 6000 ......I

Now we use the formula for simple interest to check the amount that is supposed to be made on Both accounts if he end of a year.

Formula for simple interest is I = PRT/100

Let’s apply this to what is on ground:

5*1* a/100 = 5a/100

Second is

9*b*1/100 = 9b/100

That is 5a + 9b = 38,000. ........ii

Solving Both simultaneously as follows:

Let A = 6000-b from 1

Substitute this into 2

5(6000-b) + 9b = 38,000

30,000 -5b + 9b = 38,000

4b = 8,000

b =$2000

This means a would be 6000 - 2,000 = $4000