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Jamie is hiking up a small mountain. He climbs up at a constant rate of 300 feet/hour until he reaches the peak at 1,500 feet. A

aleksandr82 [10.1K]

Answer:

a. d = 1500 - 300t. b. after 2 hours and after 4 hours

Step-by-step explanation:

a. Since Jamie hikes up the mountain at a rate of 300 ft/hr, and the mountain is 1500 ft high, his distance, d from the peak of the mountain at any given time,t is given by

d = 1500 - 300t.

b.If Jamie distance d = 900 ft, then the equation becomes,

900 = 1500 - 300t

900 - 1500 = -300t

-600 = -300t

t = -600/-300

t = 2 hours

The equation d = 1500 - 300t. also models his distance from the peak of the mountain if he hikes down at a constant rate of 300 ft/hr

At d = 900 ft, the equation becomes

900 = 1500 - 300t

900 - 1500 = -300t

-600 = -300t

t = -600/-300

t = 2 hours

So, on his hike down the mountain, it takes him another 2 hours to be 900 ft from the peak of the mountain.

So, he is at 900 ft on his hike down after his start of hiking up the mountain at time t = (2 + 2) hours = 4 hours. Since it takes 2 hours to climb to the peak of he mountain and another 2 hours to climb down 900 ft from the peak of the mountain.

4 0

3 years ago

Which is a factor of 21? 4 3 6 5

arsen [322]

Answer:

3

Step-by-step explanation:

Using listing:

$1 \times 21 = 21$

$3 \times 7 = 21$

No other factors are possible.

Hence, 1, 3, 7 and 21 are factors of 21.

3 0

3 years ago

Read 2 more answers

21$ with 8.5% tax.How much

PilotLPTM [1.2K]

First find the amount of tax by multiplying 21 × 8.5%.

.085 × 21 = 1.785 = 1.79 (rounded)

Now add the tax back into the price...

21 + 1.79 = $22.79

5 0

3 years ago

Collin Buys a TV for £720 depreciate at a rate of 4% per year how much will it be worth in three years

belka [17]

Answer:

The worth of the TV after 3 years is £809.90208

Step-by-step explanation:

The answer to given question can be found from the anual depreciation formula and solving for the Future Value (F. V.) of the machine

The given parameters of the TV are;

The amount at which Collin buys the TV, P = £720

The rate at which the TV depreciates at, R = 4%

The number of years the depreciation is applied, T = 3 years

The amount the TV is worth after three years, 'A', is given as follows;

$A = P \cdot \left(1 + \dfrac{R}{100} \right )^T$

By plugging in the known values, we have;

$A = 720 \cdot \left(1 + \dfrac{4}{100} \right )^3 = 809.90208$

The amount the TV is worth after three years, A = £809.90208

8 0

3 years ago

Find an equation perpendicular to x=1 and passing through (8,-9)

valina [46]

Answer:

$y=-9$

Step-by-step explanation:

We want to find an equation of a line that's perpendicular to x=1 that also passes through the point (8,-9).

Note that x=1 is a vertical line since x is 1 no matter what y is.

This means that if our new line is perpendicular to the old, then it must be a horizontal line.

So, since we have a horizontal line, then our equation must be our y-value of our point.

Our y-coordinate of our point (8,-9) is -9.

Therefore, our equation is:

$y=-9$

And this is in standard form.

And we're done!

3 0

3 years ago

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