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Dafna1 [17]
4 years ago
8

A man buys a car for $33,000 with no money down. He pays for the car in 48 equal monthly payments with interest at 9% per annum,

compounded monthly. What is his monthly loan payment?
Mathematics
1 answer:
Crazy boy [7]4 years ago
8 0

Answer:

Man has to pay $1921.19 per month.

Step-by-step explanation:

The formula of Compound Interest is:

A = P(1+\frac{r}{n})^{nt}

where A = Amount

P = Principle

r = rate

n = Number of Compounding per year

t = total number of year

Here, A = 33,000, r = 9% = 0.09, n = 12(monthly), and t = 48(48 months).

Putting all these values in above formula:

33000 = P(1+\frac{0.09}{12})^{12\times4}

⇒ 33000 = P(\frac{12.09}{12})^{48}

⇒ 33000 = P(1.0075)^{48}

⇒ 33000 = P(1.4314)}

⇒ P = 33000 ÷ 1.4314 = 23054.35

Monthly payment = 23054.35 ÷ 12 = 1921.19

Hence, Man has to pay $1921.19 per month.

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The cost to rent a truck is a $75 flat fee. plus $0.55 per mile driven.
pentagon [3]

Answer:

a) y = 0.55x + 75

b) $108

Step-by-step explanation:

a) to find the equation represent the sequence use the y=mx+b formula

y = total price

m = cost per mile

x = miles driven

b = flat fee

Therefore y = 0.55x+75

b) To figure out the cost of driving 60 miles you use the equation y = 0.55x + 75

y = 0.55 X 60 + 75

= 108

Therefore the cost of renting the truck and driving 60 miles is $108

7 0
3 years ago
You deposit $1,000 for years at an interest rate of 2.0%.If the interest is compounded guardedly.How much money would you have a
Stells [14]
Principle(P)=$1000
Rate (r)=2%=0.02
Time=t=4 years
n=no of times the interest is compounded per year=4
Amount (A)=?
Then,
A=P{(1+r/n)}^(n×t)
=1000{1+0.02/4}^(4×4)
=1000×(1.005^16)
=1000 × 1.08307115
=1083.07115
=1083.07 (approx)

Thus at the end of 4 years the amount of money will be Rs 1083.070 approximately.

Hope this helps....
8 0
3 years ago
SOMEONE HELP ME THIS IS DUE TODAYYYY
evablogger [386]
Okay so the answer is x= 9.5 y= 9
6 0
3 years ago
10 points
oee [108]

Answer:

x = 240 feet

Step-by-step explanation:

It is given that,

The angle of depression is 30 degrees from the bottom of the boat to a  deep sea diver at the depth of 120 ft.

We need to find the distance x the diver must  swim up to the boat. It can be calculate by applying trigonometry as follows :

\sin30=\dfrac{120}{x}\\\\x=\dfrac{120}{\sin30}\\\\x=240\ \text{feet}

So, the distance the diver must swim up to the boat is 240 feet.

6 0
3 years ago
The vertices of ABC are A (-5, 5), B (-2,5), C(-2,3).
bulgar [2K]

Answer:

It will be in the attachment below.

Step-by-step explanation:

Translating a vertex 3 units down and 4 units to the left means that the x coordinate is 4 less than before and the y is 3 less. So, subtract 4 from -5 to get -9; from -2 (twice) to get -6 (twice), and subtract 3 from 5 (twice) to get 2 (twice); from 3 to get 0. So, the new coordinates are (-9, 2), (-6, 2), and (-6, 0). The original shape is in red, and the translated shape is blue.

3 0
3 years ago
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