# A person invests \$7,500 part at 5% and the remainder at 4% simple interest. If the total interest at the end of the first year was \$346.50, find the amount invested at 4%.

total interest=346.5=7500*.05 + x*.04

solve for x.

ooopsss, I misread the problem. The total amount invested was 7500..

total interest=346.5=(7500-x)*.05 + x*.04

solve for x.

## To find the amount invested at 4%, we need to set up an equation using the given information. Let's solve it step by step.

Let's suppose the amount invested at 4% is x.

The total amount invested is \$7500, so the amount invested at 5% is the remainder, which is (7500 - x).

Now we can set up the equation using the total interest earned:

Total interest = Interest earned from the amount invested at 5% + Interest earned from the amount invested at 4%

\$346.50 = (7500 - x) * 0.05 + x * 0.04

Simplifying the equation:

346.50 = 375 - 0.05x + 0.04x

Combine like terms:

346.50 = 375 - 0.01x

Now, let's isolate x by subtracting 375 from both sides:

346.50 - 375 = -0.01x

-28.50 = -0.01x

To solve for x, divide both sides of the equation by -0.01:

x = -28.50 / -0.01

x = 2850

So, the amount invested at 4% is \$2850.