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FrozenT [24]
4 years ago
11

Income Suppose income from an endowment is generated at the annual rate of $42,000 per year. Find the capital value of this endo

wment at an interest rate of 7.5% compounded continuously.
Mathematics
1 answer:
Mrac [35]4 years ago
4 0

Answer:

Capital value after 1 year will be equal to $45150

Step-by-step explanation:

We have given principal amount P = $42000

Rate of interest r = 7.5 %

Time t = 1 year

Capital value is given by A=P(1+\frac{r}{100})^n

So A=42000\times (1+\frac{7.5}{100})^1

A=42000\times 1.075=45150

So capital value after 1 year will be equal to $45150

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Vladimir79 [104]

Answer:

1. Given

2. Subtraction property of Equality

3. Division property of Equality

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6 0
3 years ago
3 parts: List the ratios for using angle A as the angle of reference reduce when necessary
dezoksy [38]

Answer:

\sin{A}=21/29\\\cos{A}=20/29\\\tan{A}=21/20

Step-by-step explanation:

The <em>sine </em>of an angle in a right triangle is the ratio of the side <em>across</em> from the angle with the hypotenuse of the triangle (the <em>hypotenuse </em>is the side across from the right angle). In this case, the sine of angle A, shortened to \sin{A}, is 21/29.

<em>Cosine</em> is short for "complementary sine." If the angles A + C = 90, the cosine of A is equal to the sine of C, since A and C are complementary. So \cos{A}=\sin{C}=20/29. Notice that this ratio is the same as the ratio of the side <em>adjacent</em> to angle A (AB), to the hypotenuse.

The <em>tangent</em> is the ratio of the side opposite an angle to the side adjacent to it. Here, \tan{A}=21/20. So, our trig ratios for this angle are

\sin{A}=21/29\\\cos{A}=20/29\\\tan{A}=21/20

7 0
3 years ago
How many packest of sweets each containing 250g can be made from 10kg?
exis [7]
40 Packets. 1,000g = 1kg. 250g x 4 = 1kg (1kg = 4 Packets). 1kg x 10 = 10kg (4 Packets x 10 = 40 Packets)
5 0
4 years ago
Explain how to compute the amount of money the worker receives for any
BARSIC [14]

Answer:

its 11

Step-by-step explanation:

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8 0
3 years ago
Two tanks hold a total of 39 gallons of a toxic solvent one tank holds 3 gallons more than twice the amount in the other how man
diamong [38]
2x + 3 + x = 39
3x + 3 = 39
3x = 36
x = 12

One tank holds 12 gallons
The other tank holds 27 gallons
6 0
2 years ago
Read 2 more answers
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