Answer:
Total amount that Matthew's bank will receive is $10099.81.
Step-by-step explanation:
We need to find the amount Matthew's bank will receive after lending him $8,000 for four years at an interest rate of 6 percent, compounded annually.
The formula for compound interest is:

Where A = future value
P= Principal Amount
r = interest rate
and n= time
So in the question we are given:
P= $8000
r = 6% or 0.06
t = 4 (since 4 yeras compounded annually)
A= 8000*(1+0.06)^4
A= 8000*(1.06)^4
A= 10099.81
So, total amount that Matthew's bank will receive is $10099.81.
Answer:
=7.071068
Step-by-step explanation
subtract the x values and y values and square them then add them together and find it's square root
Step-by-step explanation:
4 and 5 is one 20/25
Answer: The rational expression that is needed is z^5/8.
In the problem, we are starting with 4z^5/7 and multiply by something. Then, we have z^10/14.
First, let's deal with the variables. We go from z^5 to z^10, so we had to multiply by z^5.
Second, our fraction went from 4/7 to 1/14, the missing factor would be 1/8 because 4/7 times 1/8 equals 1/14.
Answer:
It is equal to the sum of its two opposite non-adjacent interior angles.
Step-by-step explanation:
An exterior angle of a triangle is <u>equal to the sum of its two opposite non-adjacent interior angles.</u>