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2 years ago

5

If you deposit $6000 into an account paying 6.5% annual interest compounded quarterly, how long until there is $12600 in the acc

ount?

1 answer:

grandymaker [24]2 years ago

3 0

Use this formula:

K = K_0 * (1+r)^n

Insert and solve for n:

12600 = 6000 * (1+0.065)^n

n = 11.78

So about 12 quarters.

Hope that helped.

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Annie is framing a photo with a length of 6 inches and a width of 4 inches. The distance from the edge of the photo to the edge

Ede4ka [16]

Answer:

Part a) The quadratic function is $4x^{2} +20x-39=0$

Part b) The value of x is $1.5\ in$

Part c) The photo and frame together are $7\ in$ wide

Step-by-step explanation:

Part a) Write a quadratic function to find the distance from the edge of the photo to the edge of the frame

Let

x----> the distance from the edge of the photo to the edge of the frame

we know that

$(6+2x)(4+2x)=63\\24+12x+8x+4x^{2}=63\\ 4x^{2} +20x+24-63=0\\4x^{2} +20x-39=0$

Part b) What is the value of x?

Solve the quadratic equation $4x^{2} +20x-39=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem

we have

$4x^{2} +20x-39=0$

so

$a=4\\b=20\\c=-39$

substitute in the formula

$x=\frac{-20(+/-)\sqrt{20^{2}-4(4)(-39)}} {2(4)}$

$x=\frac{-20(+/-)\sqrt{1,024}} {8}$

$x=\frac{-20(+/-)32} {8}$

$x=\frac{-20(+)32} {8}=1.5\ in$ -----> the solution

$x=\frac{-20(-)32} {8}=-6.5\ in$

Part c) How wide are the photo and frame together?

$(4+2x)=4+2(1.5)=7\ in$

5 0

3 years ago

Quinzel earns $1,254 each month. His total deductions are 20% of his pay. How much is deducted from his pay each month? A. $62.7

Blababa [14]

The answer is C. 250.80

change the percent to a decimal (0.20) and multiply 1,254x0.20=250.80

6 0

3 years ago

The output is 11 more than the input<br> A: y=x+11<br> B: y=11x<br> C: y=x/11<br> D: x=y=11

Alchen [17]

The answer would be A

5 0

2 years ago

A tortoise is walking in the desert. It walks for 17.92 meters at a speed of 7 meters per minute. For how many minutes does it w

melisa1 [442]

I hope this helps you

7 0

3 years ago

Read 2 more answers

Round 614,594 to the nearest ten thousand?

MrMuchimi

Answer:

610,000

Step-by-step explanation:

14,000 would be the nearest ten thousandth but its is not over 15,000 so it would round down to 10,000 making the answer 610,000.

7 0

3 years ago