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Olin [163]
3 years ago
15

Mathew just got a job. He receives $100 bonus when he starts. The table shows the total number of hours (h) and the total amount

of money (t) he will make after each hour. Which equation can be used to find the total amount of money and (h) hours?
options:

t = 100h+ 100


t = 10h


t = 10h+ 100


t = 100h

Mathematics
1 answer:
Tanzania [10]3 years ago
5 0
T=10H+100

T being your total, and H is the hours worked.
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You buy a car for $25,000. It depreciates at the rate of 23% per year.
Juliette [100K]

The worth of the car in 10 years is $1,831.67 using an exponential equation approach.

What is an exponential equation?

An exponential equation is the one with exponents such X^3(the 3 is the exponent)

The exponential equation required here is the one where the future value would be lower than current value because the car reduces in value year-in-year-out.

FV=PV*(1-r)^N

FV=future worth of the car

PV=today's value=$25,000

r=depreciation rate=-23%

N=number of years=10

The fact that r is negative means the car is depreciating not appreciating.

FV=$25,000*(1-23%)^10

FV=$1,831.67

Find further explanation on exponential equation below in the link:

brainly.com/question/11832081

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7 0
1 year ago
An open box is to be made out of a 12-inch by 20-inch piece of cardboard by cutting out squares of equal size from the four corn
Natali5045456 [20]

Answer:

Length = 15.14, width = 7.14 and height = 2.43  inches.

( correct to the nearest hundredth).

Step-by-step explanation:

Let the lengths of the squares cut out be x inches.

Then the width of the box will be 12 - 2x and the length will be

20 - 2x inches.

The height of the box is x inches.

Volume V = x(20-2x)(12-2x)

To find the value of x when V is a maximum we find the derivative and equate it to zero.

V = x( 240 - 64x + 4x^2)

V = 4x^3 - 64x^2 + 240x

dV/dx = 12x^2 - 128x + 240 = 0

4(3x^2 - 32x + 60) = 0

This won't factor so we use the formula:

x = [-(-32) +/- √((-32)^2 - 4*3*60)] / 6

= 8.24, 2.43.

So one of these gives a maximum Volume.

The second derivative

d^2V/dx^2 = 24x - 128

When x = 8.24,  this = 69.6 (positive) so this gives a minimum.

x = 2.43 gives a negative  value ( -49.7)  so this is the maximum

So the dimensions are:-

length = 20 - 2(2.43) = 15.14

width = 12 - 2(2.43) = 7.14

height = 2.43.

7 0
2 years ago
Which ordered pale is a solution to the system of equations?
Softa [21]

Answer:

c) (-2, 1)

Step-by-step explanation:

3x - 3y = -9

2x + y = -3

2x + y = -3

-2x       -2x

y = -2x - 3

3x - 3y = -9

y = -2x - 3

3x - 3(-2x - 3) = -9

3x + 6x + 9 = -9

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9x = -18

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x = -2

y = -2x - 3

y = -2(-2) -3

y = 4 - 3

y = 1

(x, y) --> (-2,1)

Check your answer:

y = -2x - 3

1 = -2(-2) - 3

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This statement is true

Hope this helps!

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trapecia [35]

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Answer as soon as possible
Reptile [31]

Answer:

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4 0
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