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3 years ago

A $5000 loan was to be repaid with 8% simple annual interest. A total of $5350 was paid. How long was the loan outstanding?

1 answer:

5 0

1. Loan = 5000 dollars
Every years = 8% interest
Paid a total of 5350 dollar
Find the term of the loan
=> 8% = 8/100
=> .08
=> 5000 x .08 = 400, but he only paid 350 as interest that means the term is less than 1 year
=> In a year, there are 12 months, so that’s equals
=> 12 months / 8% interest
=> 1.5, every month his loan is increasing 1.5%
=> 5000 x 0.07 = 350
=> 7 percent x 1.5 percent = 10.5
Thus, he paid 5350 dollars for his 10 months loan

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Maria want to make a footstool in the shape of a cylinder, as show below. She wants to fill the footstool with foam and cover it

noname [10]

Answer:

She'll need 8143 cubic inches of foam and 1,809.6 square inches of fabric.

Step-by-step explanation:

Assuming you want to know how much foam and fabric she will need...

First the foam... so we need to determine the volume of that footstool. The Volume of a cylinder is given by:

V = π * r² * h

So, we plug in the numbers:

V = π * 12² * 18 = π * 144 * 18

V = 2,592 π = 8143 cubic inches.

Now for the fabric... we'll assume Maria wants to cover the side of the stool and the top, but not the bottom.

The side of the stool is basically a rectangle of width of 18 inches and a length of the circumference of the base of the stool. The circumference is given by: C = 2 π * r of course, so C = 24π = 75.14 inches.

So the lateral surface of the cylinder is:

LS = 18 * 75.14 = 1,357.2 sq inches.

Then we need to calculate the area of the top... which is easy:

A = π * r² = π * 12² = 144 π = 452.4 sq inches

So, to cover the lateral side of the footstool and its top, she needs to use:

TA = 1,357.2 + 452.4 = 1,809.6 sq inches of fabric.

5 0

3 years ago

Read 2 more answers

A type of long-range radio transmits data across the Atlantic Ocean. The number of errors in the transmission during any given a

Marianna [84]

Answer:

32.33% probability of having at least 3 erros in an hour.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given time interval.

The mean number of errors is 2 per hour.

This means that $\mu = 2$

(a) What is the probability of having at least 3 errors in an hour?

Either you have 2 or less errors in an hour, or we have at least 3 errors. The sum of the probabilities of these events is decimal 1. So

$P(X \leq 2) + P(X \geq 3) = 1$

We want $P(X \geq 3)$

$P(X \geq 3) = 1 - P(X \leq 2)$

In which

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)$

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-2}*(2)^{0}}{(0)!} = 0.1353$

$P(X = 1) = \frac{e^{-2}*(2)^{1}}{(1)!} = 0.2707$

$P(X = 2) = \frac{e^{-2}*(2)^{2}}{(2)!} = 0.2707$

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.1353 + 0.2707 + 0.2707 = 0.6767$

$P(X \geq 3) = 1 - P(X \leq 2) = 1 - 0.6767 = 0.3233$

32.33% probability of having at least 3 erros in an hour.

6 0

3 years ago

Calculate the area of the composite figure. 9 in 5 in 18 in 5 in 17 in

denpristay [2]

Answer:

Let's split the figure first:

9 x 5 = 45(area of small rectangle on top)

18 - 5 = 14(height)

17 - 9 = 8(width)

14 x 8 = 112(area of rectangle in the middle nearly)

18 - 5 = 14(base)

5(base 1) + 14(base 2) = 19

17 - 9 = 8(height)

19 x 8 = 152

152 divided by 2( x 1/2) = 76(area of a trapezoid on the side)

Now let's add all the given areas:

45 + 112 + 76 = 233 in^2 is your answer.

5 0

3 years ago

How do I solve this?

algol [13]

I think the answer is (C)

4 0

3 years ago

Evalvate functions helppp!?

AURORKA [14]

The answer is 19.. substitute -1 into the function whenever you see x put -1 there. This implies that 3+16 =19

6 0

3 years ago