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Butoxors [25]
3 years ago
9

Brian, Steve, and Rita invested a total of $24,000 in a business. Each person invested the same amount. Unfortunately, in the fi

rst quarter they suffered a loss of $4,500, which they shared equally. By what amount has each individual investment changed due to the loss?
A.
-$8,000
B.
-$3,500
C.
-$1,500
D.
+$1,500
Mathematics
1 answer:
stellarik [79]3 years ago
8 0

Answer:

Option C: -$1500 is the correct answer.

Step-by-step explanation:

Given that:

Total amount invested in business = $24,000

Loss suffered in first quarter = $4500

As the amount is shared by Brian, Steve and Rita equally, therefore,

Loss of each person = \frac{Loss}{Number\ of\ people}

Loss of each person = \frac{4500}{3} = \$1500

As loss is defined by decrease in the investment,

Loss of each person = -$1500

Hence,

Option C: -$1500 is the correct answer.

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Amount $100,000
sergey [27]

Answer:

1) Repaid for the loan = $239,511.60  

2) Percentage = 58.2%

3) Average amount = $387.53

Step-by-step explanation:

Given :

Amount $100,000  

Rate 7%

Payments 360  - $665.31

Total interest $139,511.60

To find :

1) How much will be repaid for this loan?

Repaid for the loan = Amount - Total interest  

Repaid for the loan = 100,000 + 139,511.60

Repaid for the loan = $239,511.60  

2) What percentage will be repaid for this loan?

\text{Percentage}=\frac{\text{Total interest}}{\text{Repaid loan}}\times100

\text{Percentage}=\frac{139511.60}{239511.60}\times100

\text{Percentage}=0.582\times100

\text{Percentage}=58.2\%

3) What will be the average amount per payment for interest?

\text{Average amount}=\frac{\text{Total interest}}{\text{Payments}}

\text{Average amount}=\frac{\text{139511.60}}{\text{360}}

\text{Average amount}=387.53

4 0
4 years ago
In a survey of 1,532 former UF students, 84% said they were still in love with Tim Tebow. The survey's sampling error was 2%. Us
nalin [4]

Answer:

confidence interval for the proportion of all former UF students who are still in love with Tim Tebow.

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Step-by-step explanation:

step 1:-

Given sample survey former UF students n = 1532

84% said they were still in love with Tim Tebow

p = 0.84

The survey sampling error

                                                 = \sqrt{\frac{p(1-p)}{n} }

Given standard error of proportion = 2% =0.02

<u>Step 2</u>:-

The 99% of z- interval is 2.57

The 99% of confidence intervals are

p ± zₐ S.E     (since sampling error of proportion = \sqrt{\frac{pq}{n} }

(0.84 - 2.57X0.02 , 0.84 + 2.57X0.02)

on simplification , we get

(0.84 - 0.0514 , 0.84 + 0.0514)

(0.79 , 0.89)

<u>conclusion</u>:-

confidence interval for the proportion of all former UF students who are still in love with Tim Tebow.

(0.79 , 0.89)

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