The length of a rectangle is 8 times it's width. The perimeter is 126 cm. What is the length of the rectangle?

Mary Catherine makes 2 gallons of punch how many cups of punch did she make

Tresset [83]

There are 16 cups in the gallon

6 0

4 years ago

Jacinta borrowed sh. 100,000 from her cooperative society. She pays 1% interest of the outstanding balance every month. If she p

vredina [299]

The amount of money that Jacinta pays to service the whole loan as interest is <u>sh. 5,899</u>.

<h3>What is interest?</h3>

Interest is the finance charge that a borrowers incurs to service a loan.

Interest is based on the outstanding balance at the end of the payment period.

<h3>Data and Calculations:</h3>

Principal loan = sh. 100,000

Interest on outstanding balance = 1%

Monthly payment of principal and interest = sh. 10,000

Period of repayment = Monthly

<h3>Amortization Schedule:</h3>

Beginning Interest Payment Ending Balance

1st month sh. 100,000 sh. 1,000 sh. 10,000 sh. 91,000

2nd month sh. 91,000 sh. 910 sh. 10,000 sh. 81,910

3rd month sh. 81,910 sh.819 sh. 10,000 sh. 72,729

4th month sh. 72,729 sh. 727 sh. 10,000 sh. 63,456

5th month sh. 63,456 sh. 636 sh. 10,000 sh. 54,092

6th month sh. 54,092 sh. 541 sh. 10,000 sh. 44,633

7th month sh. 44,633 sh. 446 sh. 10,000 sh. 35,079

8th month sh. 35,079 sh. 351 sh. 10,000 sh. 25,430

9th month sh. 25,430 sh. 254 sh. 10,000 sh. 15,684

10th month sh. 15,684 sh. 157 sh. 10,000 sh. 5,841

11th month sh. 5,841 sh. 58 sh. 5,899 sh. 0

Total interest paid = sh. 5,899

Thus, based on the payment schedule above, the amount of money that Jacinta pays to service the whole loan as interest is <u>sh. 5,899</u>.

Learn more about loan interests at brainly.com/question/24576997

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8 0

2 years ago

Find each indicated product <br>1) 2s(s-4) <br>2) (w+7) (w+3)<br>3) (x+9) (x-2) 4) (2t-1) (t+5)

Andrej [43]

Answer:

1) 2s(s-4

Ans:

$2(−4)$

$22−8$

2)(w+7) (w+3)

Ans:

$(+7)(+3)$

$(+3)+7(+3)$

$2+3+7(+3)$

$2+3+7+21$

$2+10+21$

4 0

3 years ago

Students from two age groups were surveyed to see how they travel to school. Here are the results:

liq [111]

Answer:

The table representing the number of students by which mode of transport they travel is given as:

Walk or bike Bus Car Row Total

Below age 15 87 60 18 165

Age 15 and above 65 50 80 195

Column Total 152 110 98 360

We know that a relative frequency of an event is the ratio of frequency to the total number of trials.

i..e we divide each frequencies by 360 to obtain a two-way relative frequency.

Hence,the table is given as:

Walk or bike Bus Car Row Total

Below age 15 0.24 0.17 0.05 0.46

Age 15 and above 0.18 0.14 0.22 0.54

Column Total 0.42 0.31 0.27 1

6 0

3 years ago

Read 2 more answers

Suppose that in a random sample of 300 employed Americans, there are 57 individuals who say that they would fire their boss if t

otez555 [7]

Answer:

The 95% confidence interval for the population proportion is (0.1456, 0.2344). This means that we are 95% sure that the true proportion of employed American who say that they would fire their boss if they could is between 0.1456 and 0.2344.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 300, \pi = \frac{57}{300} = 0.19$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.19 - 1.96\sqrt{\frac{0.19*0.81}{300}} = 0.1456$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.19 + 1.96\sqrt{\frac{0.19*0.81}{300}} = 0.2344$

The 95% confidence interval for the population proportion is (0.1456, 0.2344). This means that we are 95% sure that the true proportion of employed American who say that they would fire their boss if they could is between 0.1456 and 0.2344.

4 0

3 years ago