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netineya [11]
3 years ago
15

The office manager of First Tech Support borrowed $25,000 to purchase new computers for employees. The bank charges 6 percent in

terest for 4 years. How much interest will the company pay in all? a. $1,200 b. $1,500 c. $4,800 d. $6,000
Mathematics
2 answers:
marta [7]3 years ago
6 0

Answer:

d. $6,000

Step-by-step explanation:

We have been given that the office manager of First Tech Support borrowed $25,000 to purchase new computers for employees. The bank charges 6 percent interest for 4 years.

We will use simple interest formula to solve our given problem.

I=Prt, where,

I - Amount of interest,

P = Principal amount,

r = Interest rate in decimal form,

t = Time in years.

First of all, we will convert our given interest rate in decimal form.

6\%=\frac{6}{100}=0.06

Upon substituting our given values in simple interest formula, we will get

I=\$25,000*0.06*4

I=\$6,000

Therefore, the company will pay an amount of $6,000 in interest and option 'd' is the correct choice.

storchak [24]3 years ago
3 0
The answer is $6,000, because you multiply the 25,000 times .6 percent for interest, then multiply $15000 times .4 years and $6000 will be what you pay in interest. 
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Answer: The answer should be 16x^2-4x

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A cone and a cylinder have the same radius and height. The volume of the cone is 100π (pi) cubic feet. What is the volume of the
murzikaleks [220]

Answer:

The volume of the cylinder is 300\pi cubic feet.

Step-by-step explanation:

From Geometry we remember that volumes of a cone and a cylinder with the same radius (R), measured in feet, and height (h), measured in feet, are defined by the following equations:

Cone

V_{co} = \frac{1}{3}\pi\cdot R^{2}\cdot h (1)

Cylinder

V_{cy} = \pi\cdot R^{2}\cdot h (2)

The ratio of the volume of the cylinder to the volume of the cone is:

\frac{V_{cy}}{V_{co}} = 3 (3)

If we know that V_{co} = 100\pi\,ft^{3}, then the volume of the cylinder is:

V_{cy} = 3\cdot V_{co}

V_{cy} = 300\pi\,ft^{3}

The volume of the cylinder is 300\pi cubic feet.

3 0
2 years ago
If we sample from a small finite population without​ replacement, the binomial distribution should not be used because the event
seropon [69]

Answer:

5/4324 = 0.001156337

Step-by-step explanation:

To better understand the hyper-geometric distribution consider the following example:

There are 100 senators in the US Congress, and suppose 60 of them are republicans  so 100 - 60 = 40 are democrats).

We extract a random sample of 30 senators and we want to answer this question:

What is the probability that 10 senators in the sample are republicans (and of course, 30 - 10 = 20 democrats)?

The answer using the h-g distribution is:

\large \frac{\binom{60}{10}\binom{100-60}{30-10}}{\binom{100}{30}}=\frac{\binom{60}{10}\binom{40}{20}}{\binom{100}{30}}

Now, imagine there are 56 senators (56 lottery numbers), 6 are republicans (6 winning numbers and 50 losers), we extract a sample of 6 senators (the bettor selects 6 numbers). What is the probability that 4 senators are republicans? (What is the probability that 4 numbers are winners?).

<em>As we see, the situation is exactly the same,</em> but changing the numbers. So the answer would be

\large \frac{\binom{6}{4}\binom{56-6}{6-4}}{\binom{56}{6}}=\frac{\binom{6}{4}\binom{50}{2}}{\binom{56}{6}}

Now compute each combination separately:

\large \binom{6}{4}=\frac{6!}{4!2!}=15\\\\\binom{50}{2}=\frac{50!}{2!48!}=1225\\\\\binom{50}{6}=\frac{50!}{6!44!}=15890700

and now replace the values:

\large \frac{\binom{6}{4}\binom{50}{2}}{\binom{56}{6}}=\frac{15*1225}{15890700}=\frac{18375}{15890700}=\frac{5}{4324}

and that is it.

If the decimal expression is preferred then divide the fractions to get 0.001156337

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2 years ago
Angie has a collection of 145 stuffed animals. She gave 48 to her
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Angie will now have 100 stuffed animals
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The Kellogg Company periodically compares sales across departments. In one particular instance, they would like to determine if
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Answer:

H₀: μs = μf

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Step-by-step explanation:

Hello!

If the company wants to compare the sales of both departments "snacks" and "frozen foods" to see if there is any difference, the best is to compare the average number of sales of them.

Then the parameters of interest will be:

μs= average number of sales of the "snacks" department.

μf= average number of sales of the "frozen food" department.

The objective is to test if there is any difference between both departments, then the hypothesis should be two-tailed:

H₀: μs = μf

H₁: μs ≠ μf

I hope it helps!

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