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Tema [17]
3 years ago
11

You plan on purchasing a car in the next year. The car that you are interested in lists for $23,000 after taxes, license, and do

c fees. You currently have two-thirds of the vehicles value saved and you get paid $1,312.00 twice a month. Given that monthly expenses total $1,150.12, Social Security is 6.2% of your income, Medicare is 1.45% of your income, and you pay State and Federal taxes in the amount of $53.00 and $101.35, respectively, twice a month, determine in how many months you will have to save for so that you can purchase the car without financing. Round all your answers to the nearest cent. Round your answer to the nearest month.
a.
7 months
c.
8 months
b.
6 months
d.
9 months
Mathematics
2 answers:
Reil [10]3 years ago
8 0

Answer:

C). 8 months

Step-by-step explanation:

bixtya [17]3 years ago
6 0

Answer:

c. 8 months.

Step-by-step explanation:

First let's break down all the expenses and taxes to come up with how much we save each month and subtract it to our total salary monthly.

Total Salary : $1312.00 x 2 = $2,624.00

Current Savings : 2/3 or 0.67 = $15333.33

| Expenses |

Monthly Expenses : $1,150.12

Social Security : 6.2% or 0.062 x 2,624 = $162.69

Medicare : 1.45 or 0.0145 x 2,624 = $38.05

Taxes: $53 + $101.35 = 154.35 x 2 = $308.7

So we sum up all the expenses.

= $1659.56 Total Expenses.

Now we have to find how much extra money we have each month.

= $964.44 Extra Money

Now we subtract our current savings to the total price of the car.

= -7666.67 Balance

Now we divide the total balance to our extra money monthly.

= 7.949 Months or 8 Months

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What is the compound interest of 10400 at 12.7% for 4 year
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The Compound Interest of 10400 at 12.7% for 4 years is 6378.

The principal amount is given as 10400.

The rate of interest is given as 12.7%.

The time period to be calculated is given as 4 years.

The compound interest for the given above is to be calculated.

<h3>What is compound interest?</h3>

Compound interest is the interest that we earn both on the principal amount and the interest we earn.

The formula used to calculate compound interest is:                                  

   P [ (1 + \frac{R}{100} )^n - 1 ]

Where P = principal amount, R = rate of interest, and n = number of years.

We have,

P = 10400

R = 12.7%

n = 4 years

Compound interest:

P [ (1 + \frac{R}{100} )^n - 1 ]\\\\10400 [ (1 + \frac{12.7}{100} )^4 - 1 ]

Now,

10400 [ ( 1 + 0.12.7 )^2 - 1 ]

10400 [ 1.127^4 - 1 ]

10400 [ 1.61322 - 1 ]

10400 x 0.6132

6377.56

Rounding to the nearest whole number.

We have,

Compound Interest = 6378.

Thus the Compound Interest of 10400 at 12.7% for 4 years is 6378.

Learn more about Compound Interest here:

brainly.com/question/13155407

#SPJ1

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