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3 years ago

How much would $500 invested at 8% interest compounded continuously be

Mathematics

1 answer:

Vlad [161]3 years ago

5 0

Answer:

$\$635.62$

Step-by-step explanation:

The formula to calculate continuously compounded interest is equal to

$A=P(e)^{rt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

e is the mathematical constant number

we have

$t=3\ years\\ P=\$500\\ r=0.08$

substitute in the formula above

$A=\$500(e)^{0.08*3}$

$A=\$635.62$

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Amanda earned a score of 940 on a national achievement test that was normally distributed. The mean test score was 850 with a st

hichkok12 [17]

Answer:

lower than Amanda: 816 students

Step-by-step explanation:

An equivalent way in which to state this problem is: Find the area under the standard normal curve to the left (below) 940.

Most modern calculators have built in distribution functions.

In this case I entered the single command normalcdf(-1000,940, 850, 100)

and obtained 0.816.

In this particular situation, this means that 0.816(1000 students) scored lower than Amanda: 816 students.

6 0

2 years ago

Read 2 more answers

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Lerok [7]

Answer:

Rotation 90⁰ clockwise about point (-1,-1)

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3 years ago

Solve the formula Ax+By = C for A.

jok3333 [9.3K]

Answer:

$A = \frac{C - By}{x}$

Step-by-step explanation:

Given

$Ax + By = C$

Required

Solve for A

The question implies that we make A the subject of the formula.

Start by subtracting By from both sides of the equation by x

$Ax + By - By= C - By$

$Ax = C - By$

Divide both sides by x

$\frac{Ax}{x} = \frac{C - By}{x}$

$A = \frac{C - By}{x}$

<em>Solved</em>

8 0

2 years ago

When 15 times a number is.

lubasha [3.4K]

Answer:

Step-by-step explanation:

15x + 16 = 48 - x

16x = 32

x = 2

Plug two in and it fits right in :)

8 0

3 years ago

After 5.75 hours, Kyler had finished painting 62.5% of his house. He needs to paint a total of 4,000 square feet on his house. A

MissTica

First, we are going to find the painted area of his house. We know that the total area he needs to paint is 4000 square meters, so 4000 is the area of this house. Now, to find the 62.5% of that area, we are going to multiply it by $\frac{62.5}{100}$ :
Painted area= $(4000)(\frac{62.5}{100})=2500$

Now, to find <span>rate, in square feet per hour, we are going to divide the painted area by the number of hours:
Rate=</span> $\frac{2500}{5.75} =434.78$

We can conclude that Kyler paints at a rate of 434.78 square feet per hour.

8 0

3 years ago