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3 years ago

9

You invest an initial $1,000 in an account that has an annual interest rate of 2%, compounded quarterly. how much money will you

have in the account after 5 years? round your answer to the nearest whole number and include units.

1 answer:

kiruha [24]3 years ago

8 0

Check the attached file for the answer.

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2.-3(x-2) OS<br> (1 Point)<br> Enter your answer

Fantom [35]

Answer:

-3x+6

Step-by-step explanation:

Again, you multiply -3 times x and you get -3x, then you multiply -3 times -6 and since you are multiplying two negative numbers the result becomes positive so you get +6. Result = -3x+6

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3 years ago

Which of the following functions are solutions of the differential equation y'' + y = 3 sin x? (select all that apply)

DiKsa [7]

Answer:

C

Step-by-step explanation:

We must compute the derivatives and check if the equation is satisfied.

A. $y'=(3\sin x)'=3\cos x$ . Differentiate again to get $y''=(3\cos x)'=-3\sin x$ , then $y''+y=-3\sin x+3\sin x=0\neq 3\sin x$ so this choice of y doesn't solve the equation.

B. $y'=3\sin x+3x\cos x-5\cosx +5x\sin x=(5x+3)\sin x+(3x-5)\cos x$ and $y''=5\sin x+(5x+3)\cos x+3\cos x-(3x-5)\sin x=(10-3x)\sin x+(5x+6)\cos x$ , then $y''+y=10\sin x+6\cos x\neq 3\sin x$ so y is not a solution

C. $y'=\frac{-3}{2}\cos x+\frac{3}{2}x\sin x$ hence $y''=\frac{3}{2}\sin x+\frac{3}{2}\sin x+\frac{3}{2}x\cos x=3\sin x+\frac{3}{2}x\cos x$ . Then $y''+y=3\sin x+\frac{3}{2}x\cos x-\frac{3}{2}x\cos x=3\sin x$ so y is a solution.

D. $y'=-3\sin x$ and $y''=-3\cos x$ , then $y''+y=0$ thus y isn't a solution

E. $y'=\frac{3}{2}\sin x+\frac{3}{2}x\cos x$ hence $y''=\frac{3}{2}\cos x+\frac{3}{2}\cos x-\frac{3}{2}x\sin x=3\cos x-\frac{3}{2}x\cos x$ . Then $y''+y=3\cos x-\frac{3}{2}x\cos x-\frac{3}{2}x\cos x=3\cos x\neq 3\sin x$ then y is not a solution.

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3 years ago

The cost of renting a speed boat is $20 plus an additional fee of $5 for each hour the boat is

Elenna [48]

Answer:c=5h+20

Step-by-step explanation:The question says it is $20 plus 5$ per hour, $5 per hour would be equal to 5h, and 20 would be the y intercept in this equation, and using slope intercept form, youd get 20, by itself, after 5h. So the equation would be c=5h+20

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3 years ago

3/4-1/4=<br><br> 1/2+3/8=<br><br> 6 1/2-2 1/2=<br><br> 3 1/2-1 1/8=

Nataly_w [17]

1) 1/2
2) 7/8
3) 4
4) 19/8 = 2 3/8

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3 years ago

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NISA [10]

I don’t know sorry I’m on the same one and can’t find it out

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2 years ago

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