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3 years ago

Suppose $1000 is invested at 8%, compounded quarterly. How much is in the account at the end of 4 years?

Mathematics

1 answer:

guajiro [1.7K]3 years ago

3 0

The correct answer is $320

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The product of a number and 16 is equal to the sum of the number and 14

nevsk [136]

Step-by-step explanation:

let number be x

16x = 14 + x

16x - x = 14

15x = 14

x = 14 ÷ 15

x = 0.9

7 0

3 years ago

What is the solution of the system? Use the elimination method. {4x+3y=62x+2y=5 The only solution is (−32, 4) .

Sloan [31]

<span>The only solution is (−3/2, 4) </span>

5 0

4 years ago

Read 2 more answers

The polygons are similar. find the value of X

Afina-wow [57]

It should be 11. Consider the side that is 6 is 4 less than the side that is 10. Therefore the side that is x must be 4 less than 15. So it’s 11.

5 0

3 years ago

Find a, b , and h so that f(x)= a sin (b(x-h))<br> f(x)=5cosx+2sinx

TiliK225 [7]

$a\sin(b(x-h))=a\sin(bx)\cos(bh)-a\cos(bx)\sin(bh)$

For this to be equivalent to $5\cos x+2\sin x$ , you require $b=1$ and

$\begin{cases}a\cos h=2\\-a\sin h=5\end{cases}$

Dividing the second equation by the first gives

$\dfrac{-a\sin h}{a\cos h}=-\tan h=\dfrac52\implies h=\arctan\left(-\dfrac52\right)=-\arctan\dfrac52$

Meanwhile, you also get

$a\cos\left(-\arctan\dfrac52\right)=2\implies a\cos\left(\arctan\dfrac52\right)=\dfrac{2a}{\sqrt{29}}=2\implies a=\sqrt{29}$

So,

$f(x)=5\cos x+2\sin x=\sqrt{29}\sin\left(x+\arctan\dfrac52\right)$

8 0

3 years ago

PLEASE HELP, NO LINKS OR DON’T ANSWER JUST FOR POINTS OR YOU WILL BE REPORTED! WILL GIVE BRAINLIEST!!

dalvyx [7]

Answer:

9. x = 7

10. x = 12

Step-by-step explanation:

Assume the two lines are parallel.

9. The corresponding angles are congruent.

9x - 3 = 7x + 11

2x = 14

x = 7

10. The alternate interior angles are congruent.

5x - 20 = 2x + 16

3x = 36

x = 12

7 0

3 years ago