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maxonik [38]
3 years ago
8

A rancher purchased an SUV for $33,714 and made a down payment of 15% of the cost. The balance was financed for 4 years at an an

nual interest rate of 7%. Find the monthly truck payment. ​
Mathematics
1 answer:
seropon [69]3 years ago
3 0

Formula for monthly payment is:

A = P x (r(1+r)^t)/((1+r)^t-1) where P is the amount financed, r is the interest rate divided by 12 and t is the amount of time for the loan in months.

P = 33714 x 0.85 = 28656.90

A = 28656.90 x (0.07/12 (1+0.07/12)^48) / (1 +0.07/12)^48 - 1)

A = $686.23

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3 years ago
Suppose a die is tossed 5 times. what is the probability of getting exactly 2 fours?
Tasya [4]

Answer:

the probability of getting exactly 2 fours is 0.16

Step-by-step explanation:

The probability of obtaining a number that is four = ¹/₆

The probability of obtaining a non 4 number = 1 - ¹/₆ = ⁵/₆

The number of ways 2 fours can be arrange in five numbers = ⁵C₂ = 10 ways

If the die is tossed five times, the probability of the events is calculated as;

P = 10 x (¹/₆)² x (⁵/₆)³

P = 10 x (¹/₃₆) x  (¹²⁵/₂₁₆)

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3 years ago
The variables x and y vary inversely, and x = 12 when y = 6. Use the inverse variation formula, k = xy, to
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Answer:

D=24

Step-by-step explanation:

y inversely as x

x=k/y

By cross multiplication

k=xy

k=12*6

k=72

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3 years ago
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A skateboard ramp is 40 feet long and rises from the ground at an angle of 33 degrees. How tall is the ramp?
olga_2 [115]

Answer:

The ramp is 21.8 ft tall.

Step-by-step explanation:

If you convert this into a triangle, 40 ft is the hypotenuse, 33° is the angle next to the right angle (on the horizontal line) and we need to find how tall the ramp is, which will be x. It is very helpful to draw a picture.

We will use the sine ratio because, starting from the given degree of 33, we have the hypotenuse value and need to find the value opposite the degree:

sine=\frac{opposite}{hypotenuse}

Insert values:

sin33=\frac{x}{40}

Multiply 40 to both sides to isolate the variable:

40(sin33)=40(\frac{x}{40})\\\\40*sin33=x\\\\x=40*sin33

Insert the value of x into a calculator:

x=21.7855614

Round if necessary:

x=21.8 ft

Done.

6 0
4 years ago
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