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:
Table, Formula
Step-by-step explanation:
Answer:
first term = 2 ...(given)
second term = f (2) = f (2-1) * 5 = 1 * 5 = 5. .....[according to the formula f(n) = f (n -1) *5 ]
third term = f (3) = f ( 3 - 1 ) * 5 = 2 * 5 = 10
fourth term = f (4) = f (4 - 1) * 5 = 3 * 5.= 15
fivth term = f (5) = f ( 5 - 1) * 5 = 4* 5. =20
The <em>total surface</em> area of the three figures are 702 square feet.
<h3>How to estimate the amount of metal needed to produce a given amount of figures</h3>
According to this problem, we are required to determine the amount of metal needed to build three pieces with the dimensions presented in the figure.
In this case, we need to estimate the <em>total</em> surface area (
), in square feet, required for the production of the three pieces, that is, the product of the number of pieces (<em>n</em>), no unit, and the surface area of each piece (<em>A</em>).
Now we proceed to calculate the total surface area:
![+(5\,ft)\cdot (8\,ft)+2\cdot (3\,ft)\cdot (5\,ft) + 2\cdot (4\,ft)\cdot (2\,ft) + (3\,ft)\cdot (4\,ft) ]](https://tex.z-dn.net/?f=%2B%285%5C%2Cft%29%5Ccdot%20%288%5C%2Cft%29%2B2%5Ccdot%20%283%5C%2Cft%29%5Ccdot%20%285%5C%2Cft%29%20%2B%202%5Ccdot%20%284%5C%2Cft%29%5Ccdot%20%282%5C%2Cft%29%20%2B%20%283%5C%2Cft%29%5Ccdot%20%284%5C%2Cft%29%20%5D)
The <em>total surface</em> area of the three figures are 702 square feet. 
To learn more on surface areas, we kindly invite to check this verified question: brainly.com/question/2835293
