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?
.04x + .05(10000-x)
= .04x + 500 - .05x
= 500 - .01x
A man invests 10,000 dollars in two accounts, the first yielding
8
percent annual interest and the second,
6
percent. If
x
dollars is invested in the first account, how much annual interest does the man earn on his investement?
Let's say the amount invested in the first account is x dollars.
The amount invested in the second account would then be (10,000 - x) dollars.
The annual interest earned on the first account can be calculated as:
(x * 0.04)
The annual interest earned on the second account can be calculated as:
((10,000 - x) * 0.05)
To find the total annual interest earned on both accounts, we can add these two amounts together:
(x * 0.04) + ((10,000 - x) * 0.05)
So, the man earns (x * 0.04) + ((10,000 - x) * 0.05) dollars in annual interest on his investment.
To find out how much annual interest the man earns on his investment, we need to calculate the interest earned from each account and then add them together.
Let's say the man invests x dollars in the first account. This means he invests (10,000 - x) dollars in the second account.
The interest earned from the first account is calculated by multiplying the amount invested (x dollars) by the interest rate (4%) and converting it to a decimal form (0.04): x * 0.04.
Similarly, the interest earned from the second account is calculated by multiplying the amount invested in the second account ((10,000 - x) dollars) by the interest rate (5%) and converting it to a decimal form (0.05): (10,000 - x) * 0.05.
Therefore, the total annual interest earned on the investment is the sum of the interest earned from each account: x * 0.04 + (10,000 - x) * 0.05.
This expression represents the total annual interest earned on the investment. You can substitute any value for x into this expression to calculate the corresponding interest.