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lora16 [44]
2 years ago
8

A car loses value each year the value of the car (t) years ‏ can be modeled using the function f(t)=15000(0.85) ^t. If Elizabeth

wants to sell her car in 2 1/3 years what will the cars value be when she sells it?
Mathematics
1 answer:
emmainna [20.7K]2 years ago
6 0
F(t)=15000(0.85) ^t   =>  <span>f(t) = $15000(0.85) ^t

Substitute 2 1/3 for t in this equation.  This is equivalent to 7/3.

</span> f(7/3) = $15000(0.85)^(7/3)
           = $10266.02  (answer)
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Two planes left simultaneously from the same airport and headed in the same direction towards another airport 3600 km away. The
ExtremeBDS [4]

Answer:

  • 800 kph
  • 600 kph

Step-by-step explanation:

<u>Equation</u>

Let s represent the speed of the faster plane. Then its travel time is ...

  time = distance/speed = 3600/s

travel time for the slower plane is ...

  time = distance/speed = 3600/(s -200)

The difference in these times is 1.5 hours, so we have ...

  3600/(s -200) -3600/s = 1.5

<u>Solution</u>

Multiplying by (2/3)s(s -200), we get ...

  2400(s) -2400(s -200) = s(s -200)

  s^2 -200s -480000 = 0 . . . . . . . . . . rewrite in standard form

  (s -800)(s +600) = 0 . . . . . . . . . . . . . factor

The positive value of s that makes a factor zero is s = 800.

<u>Conclusion</u>

The speed of the faster plane was 800 km/h; of the slower plane, 600 km/h.

_____

<em>Check</em>

The travel time for the faster plane was 3600/800 = 4.5 hours. For the slower plane, 3600/600 = 6 hours, a difference of 1.5 hours.

6 0
2 years ago
Which of the following is equal to 5 4/9? The answers are:
madam [21]

Answer:

5.4

Step-by-step explanation:

First work out 4/9 this is the same thing as 4 ÷ 9 which equals 0.44444

and then add the whole number 5 so,

5 + 0.44444 = 5.44444

3 0
3 years ago
Six friends equally share the cost of a gift. They pay $90 and receive $42 in charge . How much does each friend pay?
sergij07 [2.7K]

Answer:

$8.00

Step-by-step explanation:

Let's set up the equation first.

What do we know:

1. We have 6 friends spliting the costs of the gifts

2. After purchasing the gifts they have $42 in change

3. They originally had $90 to spend.

Equation:

6f + $42 = $90

Next: Subtract the $42 from each side and we are left with:

6f = $48

Divide both sides by 6 and we are left with

f = $8

Since f represented the cost each friend spent our answer is $8.00

3 0
2 years ago
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Home to 1st base = 90 ft
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2nd base to 3rd base = 90 ft
3rd base to home = 90 ft
so we have a total of : (90 * 4) = 360 ft

there are 3 ft in 1 yd....
so in 360 ft, there are : 360/3 = 120 yds <==

or u could just figure it between each base....90 ft = (90/3) = 30 yds per base...and u have 4 bases....so that (4 * 30) = 120 yds
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