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marin [14]
3 years ago
8

Mathew knows that he will need to buy a new car in 4 years. The car will cost $15,000 by then. How much should he invest now at

10%, compounded quarterly, so that he will have enough to buy a new car?
Mathematics
2 answers:
vivado [14]3 years ago
8 0
So let's start with the cost of the car 

It would be 15,000 in 4 years. 

Now that we have that, we will now multiply 4 by 10%, which will equal 40.

Now, divide 40 by 15000 to get to 3750
Zinaida [17]3 years ago
5 0
Mathew should invest $10,104.37.

A = $15,000 future value



A = P(1 + r/4)^n



P = A/((1 + r/4)^n)



P = 15000/((1 + 0.10/4)^16)



P = $10,104.37

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the length of a rectangle is 6 meters less than twice the width. The area of the rectangle is 140m². Find the dimensions of the
AveGali [126]

Answer:

Here's what we know:

A = Lw (Area is length times width)

L = 2w + 6 (length is twice the width plus 6)

A = 140 (Area is 140 m2)

Plug in the variable values:

140 = w(2w + 6)

Distribute:

140 = 2w2 + 6w

Subtract 140:

2w2 + 6w - 140 = 0

Factor out a 2:

2(w2 + 3w - 70) = 0

Divide both sides by 2:

w2 + 3w - 70 = 0

(w + m)(w - n)

When we factor out the quadratic, we know it's going to be a +/- situation because the c value in the quadratic is negative, and the two numbers are going to be three away, the plus next to the 3 meaning that the larger number is going to be positive:

(w + 10)(w - 7) = 0

w = -10, 7

We can't have a negative length, so we can toss out the -10, leaving us with w = 7 meters.

L = 2 * 7 + 6

L = 14 + 6

L = 20

Check:

140 = 20 * 7

140 = 140

8 0
2 years ago
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Alex777 [14]
12 divided by 2/3 = 18
2/3 divided by 12 = 0.5
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3 years ago
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Furkat [3]

Answer:

The answer is D. Hope this helps!

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lozanna [386]

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kondor19780726 [428]

Answer:

18.57

Step-by-step explanation:

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