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3 years ago

Find the total cost with tip.

Mathematics

1 answer:

SpyIntel [72]3 years ago

5 0

Answer:

$147

Step-by-step explanation:

so to find 20% I usually divide the original cost by 100 to get 1% then multiply that number by 20.

in this case 122.50/100= 1.225, 1.225x20 = 24.5

24.5 + 122.50 = 147

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Colt1911 [192]

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6 0

3 years ago

Your pump empties the water from a swimming pool in 6 hours. When your friend's pump is used together with your pump, the pool i

RideAnS [48]

For the answer to the question above,
First, let's make the equation,
(1/6) + (1/x) = 1/(3/2) = (2/3) = (4/6)
then
1/x = (3/6) = (1/2)
so the answer would be
x = 2
It will take 2 hours take your friend's pump to empty the pool when working alone?

3 0

3 years ago

Daniel invests $2,037 in a retirement account with a fixed annual interest rate of 6% compounded 6 times per year. What will the

notka56 [123]

Answer:

$\$5294.72$

Step-by-step explanation:

GIVEN: Daniel invests $\$2,037$ in a retirement account with a fixed annual interest rate of $6\%$ compounded $6$ times per year.

TO FIND: What will the account balance be after $16$ years

SOLUTION:

Amount invested by Daniel $=\$2037$

Annual interest rate $=6\%$

Total amount generated by compound interest is $=P(1+\frac{r}{n})^n^t$

Here Principle amount $P=\$2037$

rate of interest $r=6\%$

number of times compounding done in a year $n=6$

total duration of time $nt=16\text{ years}$

putting values we get

= $2037(1+\frac{6}{6\times100})^1^6$

$=2037(\frac{101}{100})^1^6$

$=\$5294.72$

Hence the total balance after $16\text{ years}$ will be $\$5294.72$

4 0

3 years ago

1. Ted found out that the rebate is not given until after he has

nadezda [96]

9514 1404 393

Answer:

maybe not

Step-by-step explanation:

Consider a couple of scenarios for a $20,000 car purchase and a $2000 rebate, with sales tax at 10%.

1) The rebate is applied directly to the purchase price.

Taxable amount: $20,000 -2,000 = $18,000.

Price with tax: $18,000 × 1.10 = $19,800

Amount financed: $19,800.

2) The rebate is given after the sale is complete.

Taxable amount: $20,000

Price with tax: $20,000 × 1.10 = $22,000

Amount financed: $22,000

Remaining loan balance if $2000 rebate is immediately applied to the loan: $22,000 -$2000 = $20,000

If the loan is for 5 years at 3%, the payments and total costs are ...

Scenario 1: Monthly payment $355.78;

total cost of loan: 60×355.78 = 21,346.80

Scenario 2: Monthly payment $395.31;

total cost of loan: 55×395.31 = $21,742.05 (note there are fewer payments because of the initial payment to principal of $2000)

Ted effectively has to finance an additional $200, equal to the sales tax on the rebate. So the delayed rebate costs him an extra $395.25 over the life of the loan.

_____

We have assumed certain tax and payment scenarios. If tax is not an issue, and if the loan terms are such that the rebate can be applied immediately to the loan amount, then there may be no difference in total cost, or the delayed rebate may result in a lower total cost due to the higher monthly payment.

7 0

3 years ago

A box contains 5 red balls, 6 white balls and 9 black balls. Two balls are drawn at

valina [46]

Answer:

$P(Same)=\frac{61}{190}$

Step-by-step explanation:

Given

$Red = 5$

$White = 6$

$Black = 9$

Required

The probability of selecting 2 same colors when the first is not replaced

The total number of ball is:

$Total = 5 + 6 + 9$

$Total = 20$

This is calculated as:

$P(Same)=P(Red\ and\ Red) + P(White\ and\ White) + P(Black\ and\ Black)$

So, we have:

$P(Same)=\frac{n(Red)}{Total} * \frac{n(Red) - 1}{Total - 1} + \frac{n(White)}{Total} * \frac{n(White) - 1}{Total - 1} + \frac{n(Black)}{Total} * \frac{n(Black) - 1}{Total - 1}$