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Ksenya-84 [330]
4 years ago
7

You purchase a car worth $25077 and make a down payment of $3560. You intend to repay the balance of the car with month end car

payments of $336 for 5 years and a final "buyout" at the end of 5 years. Money can earn 4,04% compounded semi-annually. What is the value of the final buyout? Answer:
Mathematics
1 answer:
zubka84 [21]4 years ago
7 0

Answer:

value of buyout is $4185.74

Step-by-step explanation:

given data

car worth = $25077

down payment = $3560

monthly payment = $336 = 336 × 6 = $2016 per semi annually

time = 5 year  = 10 half yearly

rate = 4.04 %

to find out

value of final buyout

solution

we know here loan amount will be 25077 - 3560 = $21517

and we find present value first by formula that is

present value = \frac{amount(1+r)^t - 1}{r (1+r)^t}

put here t = 10 and r = \frac{4.04}{200}

so

present value = \frac{2016(1+\frac{4.04}{200})^10 - 1}{r (1+\frac{4.04}{200})^10}

present value = 18089.96

so

loan unpaid amount is here

loan unpaid amount = 21517 - 18089.96

loan unpaid amount = $3427.04

so

now we calculate value of buyout

that is express as

amount = principal × (1+r)^{t}

amount = 3427.04 × (1+\frac{4.04}{200})^{10}

amount = 4185.74

so value of buyout is $4185.74

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Divide the difference in y by the difference in x: slope = (-4)/(-3)

Reduce the fraction: slope = 4/3

3 0
3 years ago
A train travels 600 kilometers in 1 hour. What is the trains velocity in meters/seconds?
bixtya [17]

Answer:

166.666667 m/ps

Step-by-step explanation:

600/60 will give us the amount of kilometers in a minute. 10 km/ph, now i'll divide more to find the seconds. 0.166666667 this is the amount of KILOMETERS in a second, we are trying to find in meters. multiply by 1000 and 166.666667. a fast fricking train if you ask me.

8 0
3 years ago
The biggest among three numbers is 2.4 larger than the smallest one. If 15 times the smallest one is equal to 12 times the secon
g100num [7]

Answer:

18

Step-by-step explanation:

Let x represent smallest number and y represent second number.

We have been given that the biggest among three numbers is 2.4 larger than the smallest one. So biggest number would be x+2.4.

We are also told that 15 times the smallest one is equal to 12 times the second and 10 times the third. We can represent this information in equations as:

15x=12y...(1)

15x=10(x+2.4)...(2)

Upon solving 2nd equation, we will get:

15x=10x+24

15x-10x=10x-10x+24

5x=24

x=\frac{24}{5}

x=4.8

Therefore, the smallest number is 4.8.

The biggest number would be x+2.4\Rightarrow 4.8+2.4=7.2.

Upon substituting x=4.8 in equation (1), we will get:

15(4.8)=12y

72=12y

y=\frac{72}{12}

y=6

Therefore, 2nd number would be 6.

Let us find sum of all numbers as:

4.8+6+7.2=18

Therefore, the sum of all 3 numbers would be 18.

5 0
3 years ago
Question 3
Yuliya22 [10]

Answer:

Median and Mode.

Step-by-step explanation:

The data could be represented in table form in ascending order as:

 <u>Number of meals</u>                      <u> Frequency</u>

      2                                                     2

       3                                                     3

       4                                                     2

       19                                                    1`

On the basis of the data now we find the mean, median and mode:

Mean= average of the data

Mean=\dfrac{2\times 2+3\times 3+4\times 2+19\times 1}{2+3+2+1}=\dfrac{40}{8}=5

Hence mean is 5.

Median is the central tendency of the data

on looking at our data we see that the Median=3.

also the mode of the data is the entry corresponding to the highest entry.

Hence the highest frequency is 3 and the corresponding value is 3.

Hence, Mode=3

Hence, the most appropriate measure of center for this situation is :

Median and Mode.

4 0
3 years ago
Work out the area of a rectangle with base 18mm and perimeter 38mm
frez [133]

Answer:

684 mm squared

Step-by-step explanation:

Very simple. It's 18mm multiplied by 38 mm.

18 mm * 38 mm = 684 mm2

5 0
3 years ago
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