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Gnom [1K]
3 years ago
9

The cost to rent a moving truck is a flat fee of $25 plus $0.60 per mile. The equation c = 25 + 0.6m models the cost, c, in doll

ars for the number of miles, m, traveled in the truck.
Identify the independent and dependent variables
Mathematics
1 answer:
valentina_108 [34]3 years ago
4 0
The miles traveled is the independent variable.
The cost is the dependent variable.
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4400 dollars is placed in an account with an annual interest rate of 7.5%. To the nearest tenth of a year, how long will it take
Katarina [22]

Answer:

Step-by-step explanation:

The equation for the amount of money in an account after a certain amount is deposited and compounded after t years once per year is

A(t)=P(1+r)^t

Our A(t) = 33800, P = 4400, r = .075 and we are looking for t.  Filling in:

33800=4400(1+.075)^t and

33800=4400(1.075)^t

Begin by dividing both sides by 4400 to get

7.681818182=1.075^t

The only way to move that t our from its current position as an exponent is to take the natural log of both sides and follow the rules for natural logs:

ln(7.6181818182=ln(1.075)^t

The power rule of natural logs says we can move that exponent down in front, giving us:

ln(7.681818182)=t*ln(1.075)

Divide both sides by ln(1.075) to get

\frac{ln(7.61818182)}{ln(1.075)} =t

Do this division on your calculator to get

t = 28.2 years

6 0
3 years ago
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52% of what number of 109
nikitadnepr [17]

Answer:

209.615384

Step-by-step explanation:

7 0
2 years ago
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The first ten terms of a sequence whose first term is -10 and whose common difference is -2.
otez555 [7]

Answer:

-10

-12

-14

-16

-18

-20

-22

-24

-26

-28

-30

5 0
3 years ago
Which statement describes the mapping?
My name is Ann [436]

Answer:

(-1,1)(0,4)(2,7)(3,7)

Step-by-step explanation:

the arrows point from the x coordinate to the y coordinate in each in pair

4 0
2 years ago
Solve each equation using inverse operations: 1. 9w = -54 2. b - 12 = 3 3. n/4 = -11
katovenus [111]

Hello!

Answer:

1. \boxed{W=-6}

*The answer must have A NEGATIVE SIGN ONLY!*

2. \boxed{B=15}

*The answer must have A POSITIVE SIGN ONLY!*

3. \boxed{N=-44}

*The answer must have a NEGATIVE SIGN ONLY!*

Step-by-step explanation:

1. 9w=-54

First, you divide by 9 both sides of an equation.

9w/9=-54/9

Simplify.

-54/9=-6

<u><em>W=-6 is the final answer.</em></u>

____________________________________

2. b-12=3

First you add by 12 both sides of an equation.

b-12+12=3+12

Add by the numbers from left/right.

3+12=15

<u><em>b=15 is the final answer.</em></u>

__________________________________________

3. n/4=-11

First you multiply by 4 both sides of an equation.

4n/4=4(-11)

Multiply by the numbers from left/right.

4*-11=-44

<u><em>n=-44 is the final answer.</em></u>

_____________________________

Hope this helps you!

Have a great day! :)

:D

-Charlie

Thanks!

3 0
3 years ago
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