Find the perimeter of rectangle MNOP with vertices M (-2,5), N (-2, -4), O (3, -4), and P (3,5)Part B: Square ABCD has vertices, A (-3.5, 4), B (3.5, 4), C (3.5, -4) and D (-4.5, -4. What is the area of Square ABCD?

Answers

Answer 1

Answer:

Answer:

(-3.5,4)b

Step-by-step explanation:

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Bella hit a golf ball 175 yards. She wants to compare how far her friend , Letty, hit a baseball. Letty measured the distance she hit baseball in feet. What distance, in feet, did Bella hit the golfball? Use the conversion 3 feet= 1 yard.

Answers

Answer:

525 foot is the answer

Consider a home mortgage of $250,000 at a fixed APR of 4.5% for 25 years.a. Calculate the monthly payment.
b. Determine the total amount paid over the term of the loan.
c. Of the total amount paid, what percentage is paid toward the principal and what
percentage is paid for interest.
a. The monthly payment is $
(Do not round until the final answer. Then round to the nearest çent as needed.)

Answers

Answer: 1,389.58

M is the monthly payment.

P is the principal loan amount (in this case, $250,000).

r is the monthly interest rate (annual rate divided by 12). For an APR of 4.5%,

0.045

n is the total number of payments (number of years multiplied by 12). For 25 years,

n=25×12.

g In a random sample of 60 shoppers chosen from the shoppers at a large suburban mall, 36 indicated that they had been to a movie in the past month. In an independent random sample of 50 shoppers chosen from the shoppers in a large downtown shopping area, 31 indicated that they had been to a movie in the past month. What significance test should be used to determine whether these data provide sufficient evidence to reject the hypothesis that the proportion of shoppers at the suburban mall who had been to a movie in the past month is the same as the proportion of shoppers in the large downtown shopping area who had been to a movie in the past month

Answers

Answer:

Option E, two-proportion z test should be used to determine whether these data provide sufficient evidence to reject the hypothesis that the proportion of shoppers at the suburban mall who had been to a movie in the past month is the same as the proportion of shoppers in the large downtown shopping area who had been to a movie in the past month

Step-by-step explanation:

The complete question is

In a random sample of 60 shoppers chosen from the shoppers at a large suburban mall, 36 indicated that they had been to a movie in the past

month. In an independent random sample of 50 shoppers chosen from the shoppers in a large downtown shopping area, 31 indicated that

they had been to a movie in the past month. What significance test should be used to determine whether these data provide sufficient

evidence to reject the hypothesis that the proportion of shoppers at the suburban mall who had been to a movie in the past month is the same

as the proportion of shoppers in a large downtown shopping area who had been to a movie in the past month?

A one-proportion z interval B two-proportion z interval

B two-proportion z interval

C two-sample t test D one-proportion z test

D one-proportion z test

E two-proportion z test

Solution

Two proportion z test is used to compare two proportions. In this test the null hypothesis is that the two proportions are equal and the alternate hypothesis is that the proportions are not the same. The random sample of populations serve as two proportions.

Hence, option E is the best choice of answer

Hiran invests 20 000 rupees in an account for 3 years at 1.5% per year compound interest.Work out the total amount of money in the account at the end of 3 years.
Give your answer to the nearest rupee.

Answers

Answer:

There will be 20 914 rupees in the amount at the end of 3 years.

Step-by-step explanation:

The amount of rupes after t years in compound interest is given by:

$A(t) = A(0)(1+r)^(t)$

In which A(0) is the initial amount and r is the interest rate, as a decimal.

Hiran invests 20 000 rupees in an account for 3 years at 1.5% per year compound interest.

This means that $A(0) = 20000, r = 0.015$ . So

$A(t) = A(0)(1+r)^(t)$

$A(t) = 20000(1+0.015)^(t)$

$A(t) = 20000(1.015)^(t)$

Work out the total amount of money in the account at the end of 3 years.

This is A(3). So

$A(3) = 20000(1.015)^(3) = 20913.6$

Rounding to the nearest rupee.

There will be 20 914 rupees in the amount at the end of 3 years.

Final answer:

Hiran invested 20 000 rupees at 1.5% compound interest for 3 years. By applying the formula for compound interest, the total amount in the account at the end of 3 years would be approximately 20747 rupees.

Explanation:

The subject of this question is compound interest. The formula for calculating compound interest is A = P(1+ r/n)^(nt), where 'A' is the amount of money accumulated after n years, including interest. 'P' is the principal amount (the initial amount of money), 'r' is the annual interest rate (in decimal), 'n' is the number of times that interest is compounded per year, and 't' is the time the money is invested for in years.

In the given problem, Hiran has invested a principal amount of 20 000 rupees for 3 years at an annual interest rate of 1.5%. So, here P=20 000, r=1.5/100=0.015 (since 1.5% = 1.5/100 = 0.015), n=1 (since it is annually), and t=3.

By substituting these values into the formula, we get A = 20 000(1+ 0.015/1)^(1*3) which results in approximately 20747 rupees. This denotes the total amount in the account at the end of 3 years.

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Paul has $20,000 to invest. His intent is to earn 10.5% interest on his investment. He can invest part of his money at 7% interest and part at 12% interest. How much does Paul need to invest in each option to make 10.5% interest on his investment?Paul should invest $
and $
to earn 10.5% on his investments.

Answers

x=7%
y=12%
x+y=20000
0.07x+0.12y=20000*0.19=3800

How does the quotient compare to the dividend when the divisor is less than 1

Answers

Final answer:

When a dividend is divided by a divisor that is less than 1, the resulting quotient is greater than the original dividend. This is equivalent to multiplying the dividend by the reciprocal of the divisor.

Explanation:

In mathematics, when we divide any number (the dividend) by a number that is less than 1 (the divisor), the quotient will be greater than the dividend. This is because dividing by a number less than 1 is equivalent to multiplying by its reciprocate which is more than 1. For example, let's consider 10 divided by 0.5 (which is less than 1); the quotient is 20, which is greater than the dividend (10). Therefore, in relation to your question, the quotient is larger than the dividend when the divisor is less than 1.

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Answer:

Greater provided the divisor is positive.

It would be more accurate and clearer to say that when dividing a number which is greater than zero by a number between 0 and 1, then the quotient is greater than the dividend.

If the divisor is negative and the dividend is positive, then the quotient is negative (and so less than the dividend).

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