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2 years ago

Find the measure of angle P

Mathematics

1 answer:

IrinaK [193]2 years ago

4 0

Answer:

i dont see the picture clearly

Step-by-step explanation:

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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.

5 0

3 years ago

What is the value of 2 in 5,014,245?

Arlecino [84]

Your reasoning and your answer were both correct. Discuss with the teacher. ("Discuss". DON'T fight.)

6 0

3 years ago

1 +100000 what is the best answer

serg [7]

Answer:

10001 is the answer to your Question

5 0

2 years ago

Which binomial is a factor of x^2+7x+10

Mashcka [7]

Answer:

Step-by-step explanation:

(x+5)(x+2)=x^2+7x+10

4 0

3 years ago

Read 2 more answers

Please try to help me on all the questions not just one:)

nadezda [96]

Answer

they have the same size and shape. The angles are the same.

Step-by-step explanation:

im not sure about the others- hope this one helps a bit at least ;-;

5 0

3 years ago