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.
Well, to find the perimeter we have to add all of the side lengths, so let's do that:
2x+3 +2x+3 +2x
And we know that this equals 36 so let's solve for x
2x+3+2x+3+2x = 36
6x+6 = 36
6x = 30
x = 5
So we know know that x = 5.
Now all you have to do is plug in the values of x into the lengths
2(5) + 3
= 10+3
= 13 is the length of two of the sides.
2x
= 2(5)
= 10
And 10 is the length of the last side.
Option C:
The measure of arc CD is 40°.
Solution:
Given data:
m∠X = 11° and m(arc AB) = 18°
To find the measure of arc CD:
We know that,
<em>Angle formed by two intersecting secants outside the circle is equal to half of the difference between the intercepted arcs.</em>
Multiply by 2 on both sides.
22° = arc CD - 18°
Add 18° from both sides.
40° = arc CD
Switch the sides.
arc CD = 40°
Hence the measure of arc CD is 40°.
Option B is the correct answer.
