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Zigmanuir [339]
3 years ago
9

On a deposit of $10,000 that earns 4% compound interest (compounded annually), how much will you have after 8 years?

Mathematics
1 answer:
IRISSAK [1]3 years ago
3 0

Answer:

$13,685.69

Step-by-step explanation:

A = P (1 + r)ⁿ

A = $10,000 (1 + 0.04)⁸

A = $10,000 x 1.368569

A = $13,685.69

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What is the fourth term in the binomial expansion of (2x – y) 7?
nata0808 [166]

Answer:

(7C4) (2x)^4 (-y)^{7-4}

And replacing we got:

35 (2^4) x^4 (-y)^{-3}

And then the final term would be:

-560 x^4 y^3

Step-by-step explanation:

For this case we have the following expression:

(2x-y)^7

And we can use the binomial theorem given by:

(x+y)^n =\sum_{k=0}^n (nCk) x^k y^{n-k}

And for this case we want to find the fourth term and using the formula we have:

(7C4) (2x)^4 (-y)^{7-4}

And replacing we got:

35 (2^4) x^4 (-y)^{-3}

And then the final term would be:

-560 x^4 y^3

8 0
2 years ago
Find the measures of the interior
Ainat [17]

Answer:

Angle 1 =  108°

Angle 2 =  72°

Angle 3 =  120°

Angle 4 =  96°

Angle 5 =  144°

Step-by-step explanation:

We need to find the measures of the interior  angles in a pentagon if the measure  of each consecutive angle is in the  ratio 9:6:10:8:12.

Let x be the common ratio

So, we can write:

Angle 1 = 9x

Angle 2 = 6x

Angle 3 = 10x

Angle 4 = 8x

Angle 5 = 12x

We know that the <em>sum of all angles of pentagon = 540</em>

So, adding all angles and equal them to 540, we can find value of x

9x+6x+10x+8x+12x=540\\45x=540\\x=\frac{540}{45}\\x=12

So, we get the value of x: x=12

Now, calculating the angles by putting x=12:

Angle 1 = 9x = 9(12) = 108°

Angle 2 = 6x = 6(12) = 72°

Angle 3 = 10x = 10(12) = 120°

Angle 4 = 8x = 8(12) = 96°

Angle 5 = 12x= 12(12) = 144°

6 0
3 years ago
Write four and two hundred ninety-five thousandths
snow_tiger [21]

Answer:

4.295

Step-by-step explanation:

there ya gooooooooo

3 0
2 years ago
Point J is on line segment I K ‾ IK . Given J K = x + 6 , JK=x+6, I J = 9 , IJ=9, and I K = 2 x , IK=2x, determine the numerical
denpristay [2]

Answer:21

Step-by-step explanation:

4 0
3 years ago
In a class of 40 students, everyone has either a pierced nose or a pierced ear. The professor asks everyone with a pierced nose
ladessa [460]

Answer:3

Step-by-step explanation:

Given

There are total 40 students in a class

No of students with Pierced Nose n(N)=7

No of students with Pierced ear n(E)=36

and we know using sets

n\left ( N\cup E\right )=n\left ( E\right )+n\left ( N\right )-n\left ( N\cap E\right )

where n\left ( N\cup E\right )=Students either nose or ear Pierced

n\left ( N\cap E\right )=no of students having both nose and ear pierced

40=7+36-n\left ( N\cap E\right )

n\left ( N\cap E\right )=43-40=3

3 0
3 years ago
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