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3 years ago

Please show the work/explain. I need to write it down.

Mathematics

1 answer:

Maksim231197 [3]3 years ago

5 0

9514 1404 393

Answer:

20 months
$5500

Step-by-step explanation:

There are a couple of ways to work a problem like this. You have probably been taught to write equations for each of the payment amounts as a function of time, then equate those values to solve for the time that makes them equal.

at dealer 1, the total amount paid (y) will be a function of months (x):

y = 2500 +150x

at dealer 2, the corresponding equation is ...

y = 3000 +125x

These are equal when ...

y = y

2500 +150x = 3000 +125x

25x = 500 . . . . . . . . . subtract 125x +2500 from both sides

x = 500/25 = 20

The total paid will be the same after 20 months.

That amount is ...

y = 2500 +150(20) = 5500

$5500 will be paid to either dealer after 20 months.

The other way to work the problem is to "cut to the chase". The difference in down payment is made up at the rate of difference in monthly payments. So The number of monthly payments (x) required to equal the difference in down payments is ...

25x = 500 . . . . . . . . . you may recognize this equation from above

x = 500/25 = 20

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The number of rectangular prism container that would be set on the shelf is: 4.

<h3>What is the Volume of a Rectangular Prism?</h3>

Volume of rectangular prism = length × width ×height

Given the following:

Volume of three containers = 135 in.³
Volume of each rectangular prism container = 135/3 = 45 in.³
One face = width × height = 4.5 × 2 = 9 in.

Find the length of one rectangular prism using the volume formula since volume for one prism = 45 in.³

45 = length × 9

length = 5 in.

Each rectangular prism container is 5 in. long, therefore, the number of the containers that can be set on the shelf that is 24 in. long, if the 4.5 in by 2 in. face touches each other = 24/5 = 4.8.

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Learn more about rectangular prism on:

brainly.com/question/1015291

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2 years ago

HELP PLSSSSS Triangle ABC is an equilateral triangle. The angle bisectors and the perpendicular bisectors meet at D in such a wa

vazorg [7]

CE = CD + DE = 2DE + DE = 3DE = 8.7

DE = 8.7/3 = 2.9
CD = 2DE = 5.8

For the inscribed circle, where center is point D. The radius is length DE.
This is because the circle will touch the 3 points where the bisectors intersect with sides of triangle.
radius = 2.9

For circumscribed circle, the center will also be point D. The radius is CD.
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6 0

3 years ago

Simplify<br> Enter answer in box:

lesantik [10]

(3/5 + -1/4)/(7/10)

get a common denominator of 20

3/5 * 4/4 =12/20

-1/4 * 5/5 = -5/20

7/10 *2/2 = 17/20

replace

(12/20 - 5/20)/(14/20)

add the top

(7/20)/(14/20)

copy dot flip

7/20 * 20/14

7/14

1/2

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3 years ago

Read 2 more answers

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ludmilkaskok [199]

Answer:

3/8 is smaller

Step-by-step explanation:

because it not have of 8 as for 1/2 is half so your answer is 3/8

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