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oksano4ka [1.4K]
2 years ago
14

A 10-year annuity pays $1,850 per month, and payments are made at the end of each month. If the APR is 12 percent compounded mon

thly for the first five years, and APR of 8 percent compounded monthly thereafter, what is the value of the annuity today?
Mathematics
1 answer:
Fittoniya [83]2 years ago
4 0

Based on the amount the annuity pays per month and the APR, the value of the annuity today is $133,349.85.

<h3>What is the present value of the annuity?</h3>

First, find the present value of the annuity at 5 years:

= 1,850 x present value interest factor of annuity, 60 months, 8/12%

= 1,850 x 49.32

= $91,242

Then find the present value of the annuity from 5 years till date:

= (1,850 x present value interest factor of annuity, 60 months, 12/12%) + ( 91,242) / (1 + 1%)⁶⁰)

= (1,850 x 44.955) +  ( 91,242) / (1 + 1%)⁶⁰)

= $133,349.85

Find out more on the present value of annuities at brainly.com/question/24097261.

#SPJ1

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6x - 2y = 5
laiz [17]

Answer:

The given system has NO SOLUTION.

Step-by-step explanation:

Here, the given system of equation is:

6 x -  2 y = 5     .......... (1)

3 x  - y = 10          .... (2)

Multiply equation 2 with (-2), we get:

3 x  - y = 10     ( x -2)

⇒  - 6 x + 2 y = - 20

Now, ADD this to equation (1) , we get:

6 x - 2 y  - 6 x + 2 y  = 5 - 20

or, 0 = - 15

WHICH IS NOT POSSIBLE as 0 ≠ -15

Hence, the given system has NO SOLUTION.

7 0
3 years ago
Use synthetic division to find the remainder. When 3x^ 2 - 2x - 4 is divided by x - 3.
OlgaM077 [116]
ANSWER

a.)17

EXPLANATION

The given function is

3 {x}^{2} - 2x - 4

We want to find the remainnder when this function is divided by x-3 using synthetic division.

We write the coefficients of the given function and carry out the synthetic division as shown in the attachment.

The remainnder is 17.


The correct answer is A.

7 0
3 years ago
Eight times a number minus 11 is 629.<br> What is the number?
UkoKoshka [18]

Step-by-step explanation:

8x-11=629

8x=629+11

8x=640

x=80

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3 years ago
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Answer:

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Step-by-step explanation:

3 0
3 years ago
What is the width of this shape
77julia77 [94]
We see that the area is 159 3/8 and the length is 18 3/4.

Because the area is the length*width, to find the width, we must divide the area by the length.

Think of it this way:
A = l*w

Divide l on both sides:
\frac{A}{l} = w

And w is what we're looking for.
So, divide 159 3/8 by 18 3/4. 

You should get that the width is 8.5 feet :)
7 0
3 years ago
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