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3 years ago

Anyone knows the answers?

Mathematics

1 answer:

Misha Larkins [42]3 years ago

8 0

Answer:

1. 36

2. Ratio is the relationship that compares one value to another in a fraction-like manner.

3. Equation is a statement that compares who values with an equality sign.

4. The perimeter is the distance around the object while the area is the amount of space inside the area.

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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

2 years ago

Please help me out on this please

Alina [70]

Answer:

8/15

please like my answer and brainliest me HSHSSHSHS

7 0

2 years ago

Evaluate each expression if a=-1, b=4,x=-2 and y=3 2(6a-2b)-8x

Andreyy89

Answer:

-12

Step-by-step explanation:

2(6a-2b)-8(-2)

=2[6(-1)-2(4)]+16

=2[-6-8]+16

=2[-14]+16

=-28+16

=-12

4 0

3 years ago

Please help!!! i need an answer on this

oksian1 [2.3K]

Answer:

15/30

Step-by-step explanation:

To get from 10 to 30 you have to muliply by 3.

So you do that to the 5 too.

5 * 3 = 15

8 0

2 years ago

Read 2 more answers

How many diagonals can be drawn from each vertex of a 16-gon?

olchik [2.2K]

The answer may be 30

7 0

3 years ago