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OverLord2011 [107]
2 years ago
15

Sarah knows that she needs $62000 for a 25% down payment on a house she can afford. she found an investment that earns 1.25% int

erest compounded monthly. How much should she put in the account now, rounded to the nearest dollar, to ensure she has the down payment amount in five years?
a. $58,246
b. $54,722
c. $17,993
d. $29,423
Mathematics
1 answer:
kolbaska11 [484]2 years ago
6 0

Answer is c :)

I have all the work out on paper and this is what I got, checked it with my teacher and it is correct.

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In circle S,diameter PN is drawn .If measurement arc MN=110 degrees and PS=10 then find the length of MN to the nearest tenth.Sh
Goryan [66]

Answer:

MN=16.4\ units

Step-by-step explanation:

step 1

Find PN

we know that

PN is a diameter

PS is a radius

PS=10\ units

so

PN=2*PS=2*10=20\ units

step 2

Find the measure of arc MP

arc\ MN+arc\ MP=180\°

arc\ MN=110\°

arc\ MP=180\°-110\°=70\°

step 3

Find the measure of angle MNP

we know that

The inscribed angle measures half that of the arc comprising

substitute the value

step 4

Find the measure of angle MPN

we know that

The inscribed angle measures half that of the arc comprising

substitute the value

step 5

Find the measure of angle NMP

The sum of the internal angles of a triangle must be equal to 180 degrees

therefore

The triangle MNP is a right triangle

step 6

Find the length MN

In the right triangle MNP

sin(

substitute the values

sin(55\°)=\frac{MN}{20}

MN=(20)sin(55\°)=16.4\ units

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2 years ago
Using synthetic division, find (2x4 + 4x3 + 2x2 + 8x + 8) ÷ (x + 2).
Vlad [161]

it is 4 because i used plato and used the answer key

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Answer : y>0

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When we plug in positive value for x , the value of y is positive

When we plug in negative value for x , the value y is also positive

So for any value of x, the y value is positive always.

Range is the set of y values for which the function is defined

y values are positive , so range is y >0

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Which of the following are necessary when proving that the opposite angles of a parallelogram are congruent? A. Opposite sides a
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Answer:

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