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3 years ago

#7: Cole plans to purchase a car that depreciates at a rate of 9.2% per

Mathematics

1 answer:

Oliga [24]3 years ago

6 0

Answer:

I'm not really sure but I think the answer is 21,331.20 for 3 year the interst will be 331.20

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A telephone pole is 24 feet tall. a 26-foot guy wire is used to stabilize the pole. how far from the base of the telephone pole

padilas [110]

Using the Pythagorean Theorem, it is found that the base of the pole should be set 10 feet from the end of the wire.

<h3>What is the Pythagorean Theorem?</h3>

The Pythagorean Theorem relates the length of the legs $l_1$ and $l_2$ of a right triangle with the length of the hypotenuse h, according to the following equation:

$h^2 = l_1^2 + l_2^2$

In this problem, the distance is $l_2$ , while the other measures are $l_1 = 24, h = 26$ , hence:

$24^2 + l_2^2 = 26^2$

$l_2 = \sqrt{26^2 - 24^2}$

$l_2 = 10$

The base of the pole should be set 10 feet from the end of the wire.

More can be learned about the Pythagorean Theorem at brainly.com/question/654982

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4 0

2 years ago

Jada walks up to a tank of water that can hold up to 10 gallons.When it is active, a drain empties water from the tank at a cons

worty [1.4K]

Answer:

Part A)The amount of water in the tank is changing at -2/3 gallons per minute. 

Part B) it will take 7.5 minutes for the tank to drain completely.

Part C) The water tank was completely full 4.5 minutes before Jada arrived.

Step-by-step explanation:

Information fetching:

Tank of water can hold up-to 10 gallons.

When it is active, a drain empties water from the tank at a constant rate.
7 gallons of water present in the tank when Jade first saw
5 gallons of water left after 3 minutes

Part A) At what rate is the amount of water in the tank changing?

As the gallons were decreased from 7 to 5 in three minutes. It means in three minutes, 2 gallons were decreased.

So, gallons per minute change would be -2/3 gallons per minute. Hence, the amount of water in the tank is changing at -2/3 gallons per minute. 

Note: negative sign indicates the number of gallons of water are decreasing.

Part B) How many more minutes will it take for the tank to drain completely.

Let 'm' be the number of minutes will it take for the tank to drain completely.

As,

(2/3 gallons per minute) (m minutes) = 5 gallons

So,

m = 5 (3/2)

= 15/2

= 7.5 minutes

So, it will take 7.5 minutes for the tank to drain completely.

Part C) How many minutes before Jada arrived was the water tank completely full

As tank of water can hold up to 10 gallons. So, the tank of water is full when there is 10 gallons of water. So, this is 3 gallons of water more than the total 7 number of gallons at the time when Jada arrived.

As Jada arrived when the tank had left 7 gallons.

Let 'm' be the number of minutes before Jada arrived when the water tank was completely full.

So,

(2/3) (m) = 3

m = 3(3/2) = 9/2

= 4.5 minutes

So, the water tank was completely full 4.5 minutes before Jada arrived.

Keywords: time rate of change, time

Learn more about time rate of change from brainly.com/question/6279456

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3 0

3 years ago

Reggie earns $12.65 per hour and works 38 hours per week. How much does he earn in a week before taxes are taken out?

vazorg [7]

For a week that he works he would earn $480.70
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7 0

3 years ago

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2.a)Find the prime factorizations of 90 and 168.

balu736 [363]

$90|2\\45|3\\15|3\\.\ 5|5\\.\ 1|\\\\90=2\cdot3\cdot3\cdot5\\\\168|2\\.\ 84|2\\.\ 42|2\\.\ 21|3\\.\ \ 7|7\\.\ \ 1|\\\\168=2\cdot2\cdot2\cdot3\cdot7$

$100|2\\.\ 50|2\\.\ 25|5\\.\ \ 5|5\\.\ \ 1|\\\\100=2\cdot2\cdot5\cdot5\\\\126|2\\.\ 63|3\\.\ 21|3\\.\ \ 7|7\\.\ \ 1|\\\\126=2\cdot3\cdot3\cdot7$

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3 years ago

WHAT IS THE CORRECT VOCAB TERM FOR THE FOLLOWING DEFINITION:

yawa3891 [41]

I believe the term would be radicand

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3 years ago

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