Answer:
Kevin earns $122.5 a month.
Step-by-step explanation:
First we sum, 212.5 + 32.5 = 245 which is twice the amount of $ Kevin makes in a month, so we divide by 2, 245/2 which is 122.5
Answer:
10
Step-by-step explanation:
50 divded by 5=10
5 divided by 5=1
10/1=10
b. Hot Bank pays an interest rate of 3% compounded annually, and the youth group leaves the money in for 5
years.
Answer:
The amount of money you will receive is $927.419
Step-by-step explanation:
Consider the provided information.
A youth group has a yard sale to raise money for a charity. The group earns $800 but decides to put its money in the bank for a while.
We need to calculate the amount of money if hot bank pays an interest rate of 3% compounded annually, and the youth group leaves the money in for 5 years.
Future value can be calculated as:
Substitute PV=800, r=0.03 and n=5 in above equation.
Hence, the amount of money you will receive is $927.419
The shortest side of the triangle is inches.
To solve this problem, let's use the information given about the triangle's sides. Let \(s\) represent the shortest side of the triangle in inches.
According to the problem, the longest side is \(3\) inches longer than twice the shortest side, so its length is \(2s + 3\) inches. The third side is \(2\) inches less than twice the shortest side, so its length is \(2s - 2\) inches.
The perimeter of the triangle is the sum of the lengths of its sides, which is given as \(61\) inches. Using this information, we can set up an equation:
\[s + (2s + 3) + (2s - 2) = 61\]
Now, combine like terms:
\[5s + 1 = 61\]
Subtract \(1\) from both sides:
\[5s = 60\]
Divide by \(5\):
\[s = 12\]
To check, the longest side would be \(2(12) + 3 = 27\) inches, and the third side would be \(2(12) - 2 = 22\) inches. Adding up these lengths (\(12 + 27 + 22\)) does indeed equal the given perimeter of \(61\) inches.
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