Answer:
Step-by-step explanation:
If $10,000 is invested at an interest rate of 2% per year, compounded semiannually, find the value of the investment after the given number of years. (Round your answers to the nearest cent.)
a)6 years
b)12 years
c)18 years
***
compound interest formula: A=P(1+r/n)^nt, P=initial investment, r=interest rate, n=number of compounding periods per year, A=amt after t-years.
For given problem:
P=10000
r=.02
n=2
t=6, 12, 18
..
A(6)=10000(1+.02/2)^2*6
A(6)=10000(1.01)^12=11,268.25
A(12)=10000(1.01)^24=12,697.35
A(18)=10000(1.01)^36=14,307.69
Answer:
Step-by-step explanation:
Pretend you see a right triangle here. From the lower end of the line go up 5 and you will be on the same horizontal as the upper end of the line. Go over 6 units and you close your triangle. This is a right triangle with legs 5 and 6 units long. We are looking for the hypotenuse of this triangle. Use Pythagorean's Theorem:

25 + 36 = ??² and
61 = ??² so
?? = √61
Answer:
In order to subtract fractions, there must be a common denominator (the number on the bottom of the fraction). 7 and 3 can be multiplied to get 21 (a common factor). To get each fraction to have a denominator of 21, they can be multiplied by 3 and 7 respectively and then subtracted. Attached is an image of the problem worked out. I apologize for the messy handwriting. Hope this helps!
Step-by-step explanation:
6(3r^2 - 4r + 7)
18r^2 - 24r + 42
Letter A
Answer:
The answer is
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Step-by-step explanation:
The midpoint M of two endpoints of a given line segment can be found by using the formula
<h3>

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where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-4, -9), (-6, -6)
The midpoint is
<h3>

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We have the final answer as
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Hope this helps you