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Eddi Din [679]
2 years ago
13

You have decided to purchase a car for $25,625. The credit union requires a 10% down payment and will finance the balance with a

9% annual interest loan for 36 months. The sales tax in your city is 7.5%, and the license and title charges are $175.13. What is the total purchase price of the car including tax, license, and title? Round your answer to the nearest cent.
Mathematics
1 answer:
mash [69]2 years ago
3 0

9514 1404 393

Answer:

  total purchase price: $27,722.01

Step-by-step explanation:

The price of the car plus tax is ...

  $25,625 × (1 +7.5%) = $27,546.88

Adding license and title charges brings the total to ...

  $27,546.88 +175.13 = $27,722.01 . . . total purchase price

_____

<em>Additional comment</em>

10% of that, or $2,772.20, will be the required down payment, leaving a balance due of $24,949.81. The payments on a 36-month loan at 9% will be $793.40, for a total loan cost of $28,562.30. Then the full cost of the car, including financing, is $31,334.50. The cost of the financing is $3,612.49.

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A heap of rubbish in the shape of a cube is being compacted into a smaller cube. Given that the volume decreases at a rate of 3
inna [77]

Answer:

-1/4 meter per minute

Step-by-step explanation:

Since, the volume of a cube,

V=r^3

Where, r is the edge of the cube,

Differentiating with respect to t ( time )

\frac{dV}{dt}=3r^2\frac{dr}{dt}

Given, \frac{dV}{dt}=-3\text{ cubic meters per minute}

Also, V = 8 ⇒ r = ∛8 = 2,

By substituting the values,

-3=3(2)^2 \frac{dr}{dt}

-3=12\frac{dr}{dt}

\implies \frac{dr}{dt}=-\frac{3}{12}=-\frac{1}{4}

Hence, the rate of change of an edge is -1/4 meter per minute.

4 0
2 years ago
Given: BC bisects DBE. Prove: ABD is congruent to ABE
Arada [10]

Answer:

See below

Step-by-step explanation:

BC bisects <DBE and if AC is a straight line then you have that:

<ABD + <DBC = 180 (straight angle because of line AC)

<ABE + <CBE = 180 ( straight angle because of line AC)

Because BC bisects <DBE =>   < DBC = <CBE

So <ABD and <ABE must be the same to both sum 180 when added < DBC

7 0
2 years ago
Find the volume of a right circular cone that has a height of 12.7 m and a base with a circumference of 18.9 m. Round your answe
DochEvi [55]

Step-by-step explanation:

We have,

Height of cone, h = 12.7 m

Circumference of base, C = 18.9 m

The base of a circular cone is circular. The circumference of circle is given by :

C=2\pi r

r is radius

r=\dfrac{C}{2\pi}\\\\r=\dfrac{18.9 }{2\pi}\\\\r=3\ m

The volume of a right circular cone is given by the formula as :

V=\dfrac{1}{3}\pi r^2h

V=\dfrac{1}{3}\times 3.14 \times 3^2\times 12.7\\\\V=119.634\ m^3

7 0
2 years ago
Harmony earns a \$42{,}000$42,000dollar sign, 42, comma, 000 salary in the first year of her career. Each year, she gets a 4\%4%
saveliy_v [14]

Answer:

FV(n)=42,000(1.04)^n

Step-by-step explanation:

FV=PV(1+r/n)^nt

Where

FV=future value

PV=present value

r=interest rate

n=number of periods

t=time (years)

PV=42,000

r=4%=0.04

n=1

t=n

FV(n)=p(1+r/n)^nt

=42,000(1+0.04/1)^1*n

=420000(1+0.04)^n

=42,000(1.04)^n

FV(n)=42,000(1.04)^n

7 0
2 years ago
Two pools are being drained. To start, the first pool had 3700 liters of water and the second pool had 4228 liters of water. Wat
cestrela7 [59]

Answer:

Pool 1 will be drained out just over a minute before pool 2.

Step-by-step explanation:

Pool 1

3700/31 = 119.35minutes

Pool 2

4228/42 = 100.67minutes

Pool 1 will be drained out just over a minute before pool 2

3 0
2 years ago
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