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3 years ago

FIRST PROPER ANSWER GETS BRAINLIEST ON TEST PLEASE HELP!!!

2 answers:

8 0

Area of a semicircle = $\pi$ r² / 2
r= 5/2 = 2.5

So: A= 3.14 x 2.5² / 2 A = 9.8125 so rounding to the nearest hundredth is A=9.81

Alla [95]3 years ago

6 0

Okay, so first you have to understand this:
Since it's a Semicircle, it's half of a circle.
So take half of the Area of the Circle $(A= \pi r^2)$
Which is $(1/2)* (\pi r^2)$
So plug in 2.5 for r, which is half of the diameter of 5
You should have this equation: $A=3.14*2.5^2$
Which is equal to: $A=19.625$
Lastly you divide that by 2: $19.625/2=9.8125$
Final Answer: $A=9.81$

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2 years ago

When the effective interest rate is 9% per annum, what is the present value of a series of 50 annual payments that start at $100

ser-zykov [4K]

Answer:

$1,109.62

Step-by-step explanation:

Let's first compute the future value FV.

In order to see the rule of formation, let's see the value (in $) for the first few years

End of year 0

1,000

End of year 1(capital + interest + new deposit)

1,000*(1.09)+10

End of year 2 (capital + interest + new deposit)

(1,000*(1.09)+10)*1.09 +10 =

$\bf 1,000*(1.09)^2+10(1+1.09)$

End of year 3 (capital + interest + new deposit)

$\bf (1,000*(1.09)^2+10(1+1.09))(1.09)+10=\\1,000*(1.09)^3+10(1+1.09+1.09^2)$

and we can see that at the end of year 50, the future value is

$\bf FV=1,000*(1.09)^{50}+10(1+1.09+(1.09)^2+...+(1.09)^{49}$

The sum

$\bf 1+1.09+(1.09)^2+...+(1.09)^{49}$

is the sum of a geometric sequence with common ratio 1.09 and is equal to

$\bf \frac{(1.09)^{50}-1}{1.09-1}=815.08356$

and the future value is then

$\bf FV=1,000*(1.09)^{50}+10*815.08356=82,508.35564$

The present value PV is

$\bf PV=\frac{FV}{(1.09)^{50}}=\frac{82508.35564}{74.35572}=1,109.616829\approx \$1,109.62$

rounded to the nearest hundredth.

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2 years ago

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3/15 means if you pay the bill within 15 you will get a discount by 3%
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Answer:

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Step-by-step explanation:

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