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Neporo4naja [7]
3 years ago
14

Find the interest to the nearest cent. $3500 at 10% for 5 Years

Mathematics
1 answer:
Illusion [34]3 years ago
5 0
<span><span>P is the principal amount, $3500.00.
</span><span>r is the interest rate, 10% per year, or in decimal form, 10/100=0.1.
</span><span>t is the time involved, 5....year(s) time periods.
</span><span>So, t is 5....year time periods.
</span></span>

To find the simple interest, we multiply 3500 × 0.1 × 5 to get that:

<span>The interest is: $1750.00

If you need compounding the formula is different.</span>
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Although the formula looks involved, the key here is looking to see where the information goes.

We are given all the pieces but need to convert mph to ft/s to use the formula. Let's do it with 1 mph so that we have a ratio to use. We and solve a unit conversion problem.

\frac{1mile}{hour} * \frac{hour}{60 minutes} * \frac{minute}{60 seconds} * \frac{5280 feet}{mile} = \frac{5280}{60*60} = \frac{5280}{3600} = 1.46666

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Next, We repeat for 24 mph.

1 mph / 1.46666 feet per second = 24 mph / x feet per second.

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Now we have the found appropriate V₁ and V₂. V₁ > V₂, so V₁ is 88 ft/s and V₂ is 35.2 ft/s. The problem tells us θ = 2.3 degrees, K₁ = .4 and K₂ = .06. The rest of the problem is calculator work. Start by substituting our degree measure of 2.3 degrees and the given values in the problem for V₁, V₂, K₁, and K₂

D = \frac{1.05[(88)^{2}-(35.2)^{2}]}{64.4(.4+.06 + (sin 2.3))}

D = \frac{1.05[(7744-1239.04]}{64.4(.46 + (sin 2.3))}

D = \frac{1.05(6504.96)}{64.4(.46 + 0.04013)}

D = \frac{6830.208}{64.4(0.50013)}

D = 6830.208 / 32.208372

D = 212.0631 = 212 (to the nearest foot)


Thus the car needs 212 feet to stop.

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