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Hunter-Best [27]
2 years ago
7

A new car is purchased for 22400 dollars. The value of the car depreciates at 11% per year. To the nearest tenth of a year , how

long will it be until the value of the car is 5000 dollars?
Mathematics
1 answer:
m_a_m_a [10]2 years ago
5 0

Answer:

t= 12.9 years

Step-by-step explanation:

Value after t years = initial value ( 1 - r )^t

Where,

Value after t years= $5000

Initial value = $22,400

r= depreciation rate = 11%

t= length of time (years)

Value after t years = initial value ( 1 - r )^t

5000 = 22,400 ( 1 - 0.11)^t

5000 = 22,400(0.89)^t

Divide both sides by 22,400

(0.89)^t = 5000 / 22,400

(0.89)^t = 0.2232

Take the log of both sides

t log 0.89 = log 0.2232

t= log 0.2232 / log 0.89

= -0.6513 / -0.0506

= 12.87

t= 12.9 years

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44x10^-2
or in other words
44 times 10 to the -2nd power
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3 years ago
A wedding photographer charges a flat fee of $1800 and $175 per hour. Which equation can be used to find the total cost of takin
ikadub [295]

Answer:

y=1800+175x

Step-by-step explanation:

3 0
3 years ago
I don’t know what to do with the 3 feet above the ground
Slav-nsk [51]

Answer:

3 seconds

Step-by-step explanation:

You want to set h(t)=3, then take the root such that t≠0. You would have:

3=3+48t−16t^2

Let's solve your equation step-by-step.

3=3+48t−16t2

Step 1: Simplify both sides of the equation.

3=−16t2+48t+3

Step 2: Subtract -16t^2+48t+3 from both sides.

3−(−16t2+48t+3)=−16t2+48t+3−(−16t2+48t+3)

16t2−48t=0

Step 3: Factor left side of equation.

16t(t−3)=0

Step 4: Set factors equal to 0.

16t=0 or t−3=0

t=0 or t=3

3 makes more sense than 0 because the ball can't have been in the air for 0 seconds.

So the ball was in the air for 3 seconds.

7 0
3 years ago
13)
grandymaker [24]

Given :

Ryan works two jobs. He earns $10 per hour working at the hardware store, and he earns $13 per hour working at the shipping.

To Find :

If x represents hours at the hardware store and y represents hours at the shipping company, which inequality represents  the situation if Ryan wants to earn a minimum of $300.

Solution :

His total earning is given by :

T = 10( number of hours at hardware store ) + 13( number of hours at the shipping)

T = 10x + 13y

Now, he wants to earn a minimum of $300 i.e T ≥ $300.

So, 10x + 13y ≥ 300

Hence, this is the required solution.

8 0
3 years ago
Can someone help me? Please and thank you! <3
Tanya [424]

Answer:

I think it would be 40?

Step-by-step explanation:

I think 40 because if I recall correctly, to find the range you must subtract the max from the min, the max being 100 and the min being 60 in this case.

3 0
2 years ago
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