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3 years ago

Allison is saving to buy a $500 bicycle by working during

Mathematics

1 answer:

belka [17]3 years ago

8 0

Answer:

140.00

Step-by-step explanation:

20 x 4 = 80 hours worked

80 x 8.00 = $640.00

640.00 - 500.00 = 140.00

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Calculate the monthly payment for a $14,790 auto loan over four years at 6.9% annual interest.

Svet_ta [14]

Answer:

352.05

Step-by-step explanation:

I don't know how to interpret the equation you wrote and so I just used annuities

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3 years ago

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The earth travels one full rotation around the sun in approximately 365.25 days. How many minutes does it take for the earth to

kozerog [31]

Step-by-step explanation:

365.25days

1day=1440min

365.25days= 365.25×1440

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3 years ago

A baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward first base with a speed of 31 ft/s. (a) A

julsineya [31]

Answer:

a) -13.9 ft/s

b) 13.9 ft/s

Step-by-step explanation:

a) The rate of his distance from the second base when he is halfway to first base can be found by differentiating the following Pythagorean theorem equation respect t:

$D^{2} = (90 - x)^{2} + 90^{2}$ (1)

$\frac{d(D^{2})}{dt} = \frac{d(90 - x)^{2} + 90^{2})}{dt}$

$2D\frac{d(D)}{dt} = \frac{d((90 - x)^{2})}{dt}$

$D\frac{d(D)}{dt} = -(90 - x) \frac{dx}{dt}$ (2)

Since:

$D = \sqrt{(90 -x)^{2} + 90^{2}}$

When x = 45 (the batter is halfway to first base), D is:

$D = \sqrt{(90 - 45)^{2} + 90^{2}} = 100. 62$

Now, by introducing D = 100.62, x = 45 and dx/dt = 31 into equation (2) we have:

$100.62 \frac{d(D)}{dt} = -(90 - 45)*31$

$\frac{d(D)}{dt} = -\frac{(90 - 45)*31}{100.62} = -13.9 ft/s$

Hence, the rate of his distance from second base decreasing when he is halfway to first base is -13.9 ft/s.

b) The rate of his distance from third base increasing at the same moment is given by differentiating the folowing Pythagorean theorem equation respect t:

$D^{2} = 90^{2} + x^{2}$