A man invests 10,000 dollars in two accounts, the first yielding 4 percent annual interest and the
second, 5 percent. If x
dollars is invested in the first account, how much annual interest does the man
earn on his investement
annual interest
= .04x + .05(10000-x)
500.04
Let's assume the man invests "x" dollars in the first account. Since the total investment is $10,000, the amount invested in the second account will be $(10,000 - x).
The annual interest earned on the first account can be calculated by multiplying the investment amount by the interest rate:
Interest from the first account = x * 0.04
Similarly, the annual interest earned on the second account can be calculated as:
Interest from the second account = (10,000 - x) * 0.05
To calculate the total annual interest earned, we can sum up the interest from both accounts:
Total annual interest = Interest from the first account + Interest from the second account
= x * 0.04 + (10,000 - x) * 0.05
Therefore, the man earns x * 0.04 + (10,000 - x) * 0.05 dollars as annual interest on his investment.
To find the amount of annual interest earned on the man's investment, we need to calculate the interest earned from each account separately and then add them together.
Let's assume that the man invests x dollars in the first account, which yields 4 percent annual interest.
The interest earned from the first account would be (x * 0.04).
Now, we know that the total investment amount is $10,000, so the amount invested in the second account would be (10,000 - x) dollars.
The second account yields 5 percent annual interest, so the interest earned from the second account would be ((10,000 - x) * 0.05).
To find the total annual interest earned, we add the interest earned from both accounts:
Total annual interest = (x * 0.04) + ((10,000 - x) * 0.05).
Now, you can substitute the value of x (amount invested in the first account) to find the total annual interest earned.