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Ann [662]
3 years ago
7

Determine the present value P you must invest to have the future value A at simple intrest rate r after time t. A=$14,000, r=9.5

%, t =4 years​
Mathematics
1 answer:
Ivan3 years ago
3 0

Answer:

$10,144.93

Step-by-step explanation:

Amount formula; A = (Principal* rate* time) +Principal

A= (P*r*t) +P

A= 14,000

r= 9.5% OR 0.095 as a decimal

t= 4

Plug the numbers into the formula;

14,000 = (P* 0.095 *4 ) +P

14,000 = 0.38P +P

14,000 = 1.38P

Divide both sides by 1.38 to solve for P;

14,000/1.38 = P

P= 10,144.9275

Therefore, the present value (Principal) = $10,144.93

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Anarel [89]

Answer:

  23.  0.4583 seconds

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Step-by-step explanation:

The problem statement tells you how to work it. You need to convert speed from miles per hour to feet (or inches) per second.

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3 years ago
Suppose we have a right triangle with legs of length a and b and hypotenuse of length c. Suppose b=3 and c=5. Then a= , For the
ANTONII [103]

Answer:

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b)

<u><em></em></u>sin(A) = \frac{opposite side}{Hypotenuse} = \frac{a}{c} = \frac{4}{5}<u><em></em></u>

<u><em></em></u>cos(A) = \frac{Adjacent side}{Hypotenuse} = \frac{b}{c} = \frac{3}{5}<u><em></em></u>

<u><em></em></u>tan(A) = \frac{opposite side}{Adjacent side} = \frac{a}{b} = \frac{4}{3}<u><em></em></u>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given  b = 3 and hypotenuse c = 5

Given ΔABC  is a right angle triangle

By using pythagoras theorem

        c² = a² + b²

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          =25 - 9

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The sides of right angle triangle  a = 4 ,b = 3 and c = 5

<u><em>Step(ii):-</em></u>

<u><em></em></u>sin(A) = \frac{opposite side}{Hypotenuse} = \frac{a}{c} = \frac{4}{5}<u><em></em></u>

<u><em></em></u>cos(A) = \frac{Adjacent side}{Hypotenuse} = \frac{b}{c} = \frac{3}{5}<u><em></em></u>

<u><em></em></u>tan(A) = \frac{opposite side}{Adjacent side} = \frac{a}{b} = \frac{4}{3}<u><em></em></u>

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Step-by-step explanation:

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3 years ago
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scoray [572]

Answer:

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Step-by-step explanation:

Given

The attached triangle

Required

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So, we have:

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Make AB the subject

AB = \frac{15}{\sin(70)} * \sin(45)

AB = \frac{15}{0.9397} *0.7071

AB = 11.3

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3 years ago
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