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STALIN [3.7K]
3 years ago
10

Solve for x. Round to the nearest tenth

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
3 0
Sin = opposite / hypotenuse

sin 15 = 14/x

x = 14/sin15

x = 54.0918.....

x = 54.1 (nearest tenth)
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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
zubka84 [21]

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

7 0
4 years ago
A set of data with 750 numbers is normally
kifflom [539]

Answer:

510

Step-by-step explanation:

(0.68)750

shift decimal places

510.00

refine:510

6 0
3 years ago
Machine A can produce 435 widget in 3 hours. At this rate how many widget can machine A produce in 7 hours?
Vesna [10]

Answer:

1015 widgets

Step-by-step explanation:

First investigate how many widgets can machine A produce in 1 hour:

If it produces 435 in 3 hours, then it will produce one third of that in one hour:

In ONE (1) hour \frac{435}{3} = 145 widgets

Therefore in seven (7) hours it will produce seven times the amount it does in one hour, that is:

145 * 7 = 1015 widgets

3 0
4 years ago
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A car can travel 105 miles on 7 gallons of gas. How far can it travel on 9 gallons
Wewaii [24]

Find how far the car can travel on one gallon of gas, by dividing total miles by number of gallons:

105 miles / 7 gallons = 15 miles per gallon.


Now multiply that by the number of gallons to find total miles:

15 miles per gallon x 9 gallons = 135 total miles.

6 0
3 years ago
Reuben made 4 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for all 4 necklaces
zysi [14]

Answer:

$3.90

Step-by-step explanation:

The total cost was $24.40.

We know the cost for beads for each necklace is also $2.20, multiply this by four to find the cost of the beads for all the necklaces.

$2.20 × 4 = $8.80

Now we will subtract this from the total price.

$24.40 - $8.80 = $15.60

$15.60 Is the remaining cost for the pendants of all four necklaces. We will now divide this by four to find the price of a single pendant.

$15.60 ÷ 4 = $3.90

<u>This means the cost of each pendant is $3.90</u>

5 0
4 years ago
Read 2 more answers
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