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.
An equation that models the proportional relationship between t and s.
t = 12.5s
<h3>What is proportional relationship?</h3>
Relationships between two variables where their ratios are equal are known as proportional relationships. The fact that one variable is always a constant value multiplied by the other in a proportionate connection is another way to conceive of them. This parameter is referred to as the "constant of proportionality."
<h3>According to the given information :</h3>
1) Ticket for an art museum costs $12.50
2) In other words, the price will increase by $12.50 for each ticket purchased (or tickets).
In other words, the total expense is always 12.5 times the quantity of tickets sold.
3) This indicates that we can create this ---> t = 12.5s.
An equation that models the proportional relationship between t and s.
t = 12.5s
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Answer:
0.258819045...
Step-by-step explanation:
just plug it into a calculator
The range of y=e^x+1 is y>1.
5+5=10
y=5
b=5
the answer is 5 plus 5