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FrozenT [24]
3 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]3 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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Solve: x+2/x-4&lt;0<br> O _4 O -2 -2 -4
sammy [17]

Answer:

-2<x<4

Step-by-step explanation:

For \frac{x+2}{x-4} < 0, note that either the numerator or denominator is positive and the other must be negative for this inequality to be satisfied.

This means x+2>0 and x-4<0 or x+2<0 and x-4>0.

Lets look at the first scenario (x+2>0 and x-4<0)

x+2>0 and x-4<0

x>-2 and x<4

This means that -2<x<4.

Let’s look at the other scenario (x+2<0 and x-4>0)

x+2<0 and x-4>0

x<-2 and x>4

This means that x must be <-2 and >4 simualtaneously, which is impossible.

Therefore, this only occurs when -2<x<4.

I hope this helps! :)

7 0
2 years ago
49 is 50% of what number?
mel-nik [20]

Answer:

98

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
What is the value of sin(F)?<br> 1 point<br><br> 4/3<br> 3/5<br> 4/5<br> 3/4
vichka [17]

Answer:

the value of sin(F) is 3/5

8 0
3 years ago
How do I solve this? (Geometry)
Luden [163]

Answer:

Step-by-step explanation:

(3×10×8)÷26400= 0.00909090909

hope it helps

8 0
3 years ago
What is the slope of the line that passes through the points (7,26) and (12, -39)?​
Elena-2011 [213]
The slope (m) = -13.

We can use the slope formula:

m = (y2 - y1) / (x2 - x1)

Let (x1, y1) = (7, 26)
(x2, y2) = (12, -39)

Plug in the values into the formula:

m = (y2 - y1) / (x2 - x1)
m = (-39 - 26) / (12 - 7)

m = -65/5

m = -13
7 0
2 years ago
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