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34kurt
3 years ago
8

A company purchased equipment and signed a 7-year installment loan at 9% annual interest. The annual payments equal $9,000. The

present value for an annuity (series of payments) at 9% for 7 years is 5.0330. The present value of 1 (single sum) for 7 years at 9% is 0.5470. The present value of the loan is:
Mathematics
1 answer:
Readme [11.4K]3 years ago
6 0

Answer:

present value of the loan = 45,297

Step-by-step explanation:

given data

annual interest = 9 %

time = 7 year

annual payments = $9,000

present value factor for annuity = 5.0330

solution

we get here present value of the loan that is express as

present value of the loan = present value factor × annual payments  ............1

put here value we get

present value of the loan = $9,000 ×  5.0330

present value of the loan = 45,297

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Two competing headache remedies claim to give fast-acting relief. An experiment was performed to compare the mean lengths of tim
DaniilM [7]

Answer:

t = 0.875

Step-by-step explanation:

Given

<u>Brand A</u>            <u>Brand B</u>

n_ 1= 12               n_2 = 12

\bar x_1 = 21.8            \bar x_2 = 18.9

\sigma_1 = 8.7              \sigma_2 = 7.5

Required

Determine the test statistic (t)

This is calculated as:

t = \frac{\bar x_1 - \bar x_2}{s\sqrt{\frac{1}{n_1} +  \frac{1}{n_2}}}

Calculate s using:

s = \sqrt{\frac{(n_1-1)*\sigma_1^2+(n_2-1)*\sigma_2^2}{n_1+n_2-2}}

The equation becomes:

s = \sqrt{\frac{(12-1)*8.7^2+(12-1)*7.5^2}{12+12-2}}

s = \sqrt{\frac{1451.34}{22}}

s = \sqrt{65.97}

s = 8.12

So:

t = \frac{\bar x_1 - \bar x_2}{s\sqrt{\frac{1}{n_1} +  \frac{1}{n_2}}}

t = \frac{21.8 - 18.9}{8.12 * \sqrt{\frac{1}{12} + \frac{1}{12}}}

t = \frac{21.8 - 18.9}{8.12 * \sqrt{\frac{1}{6}}}

t = \frac{21.8 - 18.9}{8.12 * 0.408}}

t = \frac{2.9}{3.31296}}

t = 0.875

3 0
3 years ago
Pratap puri rowed 10 miles down a river in 2 ​hours, but the return trip took him 2 and one half hours. Find the rate pratap can
N76 [4]

Answer:

<em>Rate of Pratap in still water is 4.5 miles/hour and rate of current is 0.5 miles/hour.</em>

Step-by-step explanation:

Pratap Puri rowed 10 miles down a river in 2 ​hours, but the return trip took him 2.5 hours.

We know that, Speed = \frac{Distance}{Time}

So, the <u>speed of Pratap with the current</u> will be:  (\frac{10}{2})miles/hour = 5 miles/hour

and the <u>speed of Pratap against the current</u> will be:  (\frac{10}{2.5})miles/hour = 4 miles/hour.

Suppose, the rate of Pratap in still water is x and the rate of current is y.

So, the equations will be........

x+y= 5 .............................. (1)\\ \\ x-y=4 .............................. (2)

Adding equation (1) and (2) , we will get......

2x=9\\ \\ x=\frac{9}{2}= 4.5

Now, plugging this x=4.5 into equation (1), we will get.....

4.5+y=5\\ \\ y=5-4.5 =0.5

Thus, Pratap can row at 4.5 miles per hour in still water and the rate of the current is 0.5 miles/hour.

6 0
4 years ago
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Fofino [41]
The answer less then 6
8 0
3 years ago
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In baseball, Shintaro had 4 hits in his last 12 times at bat.
swat32

Answer:

The probability of shintaro is 4/12 simplified which is 1/3

Step-by-step explanation:

It's like saying.. Someone had won 4 races every 12 race

You divide both side of 4/12 till you can't divide anymore

4/12

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jasenka [17]

Answer:

x=3

Step-by-step explanation:

Right triangle so you can use pythagorean theorem

a squared + b squared = c squared

b=x

14^2 + b^2= 17^2

14+b=17

b=3

8 0
3 years ago
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