Latoya deposits $2000 into an account that pays simple interest at a rate of 3% per year. How much interest will she be paid in the first 4 years?
To calculate the interest paid in a simple interest account, you use the formula I = P * r * t where I is the interest paid, P is the principal (initial deposit), r is the interest rate, and t is the time in years.
In this case, Latoya deposited $2000 and the interest rate is 3% per year. She wants to know the interest paid in the first 4 years, so t = 4.
Using the formula I = P * r * t, we have:
I = 2000 * 0.03 * 4
I = 240.
Therefore, Latoya will be paid $240 in interest in the first 4 years.
Tom deposits $500 into an account that pays simple interest at a rate of 5% per year. How much interest will he be paid in the first 2 years?
To calculate the interest paid in a simple interest account, we use the formula I = P * r * t, where I is the interest paid, P is the principal (initial deposit), r is the interest rate, and t is the time in years.
In this case, Tom deposited $500 and the interest rate is 5% per year. He wants to know the interest paid in the first 2 years, so t = 2.
Using the formula I = P * r * t, we have:
I = 500 * 0.05 * 2
I = 50.
Therefore, Tom will be paid $50 in interest in the first 2 years.
Simplify
2(y - 5) -5y
To simplify the expression 2(y - 5) - 5y, we first distribute the 2 to both terms inside the parentheses:
2(y - 5) - 5y = 2y - 10 - 5y
We can then combine like terms by subtracting the two y terms:
2y - 10 - 5y = (2y - 5y) - 10
Simplifying further, we get:
2y - 5y - 10 = -3y - 10
Therefore, the simplified expression is -3y - 10.
Simplify
-(y + 1) + 2
To simplify the expression -(y + 1) + 2, we first distribute the negative sign to both terms inside the parentheses:
-(y + 1) + 2 = -y - 1 + 2
We can then combine like terms by adding the numbers:
- y - 1 + 2 = (-y + 2) - 1
Simplifying further, we get:
(-y + 2) - 1 = -y + 1
Therefore, the simplified expression is -y + 1.