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svlad2 [7]
3 years ago
8

Matthew opens a store credit card when he purchases a new sound system. The interest rate is 22.45%. He charges $4,120 to the ca

rd, and can pay $1,450 per month. What will the total cost of his purchase be?
Mathematics
2 answers:
Nookie1986 [14]3 years ago
6 0

Let

C----------------- > charges for the purchases to the credit card

<span>r------------------- > the interest rate    </span>

X------------------ > total cost of the purchase

 we know that

C=4120

r= 22.45%=0.2245

X=C*(1+r)

 substituting the values ​​in the formula

X=(4120)*(1+0.2245)= (4120)*(1.2245)=5044.94

 the answer is $5044.94


Leona [35]3 years ago
3 0

The answer is 4,273.70

Just took the quiz.. Other answer is wrong

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The volume of a cylinder is given by the formula , where r is the radius of the cylinder and h is the height. Which expression r
kotykmax [81]

The Volume of cylinder represented by the option B.

According to the statement

we have given that the volume formula of cylinder is V= (pi)r^2h, and we have to find that the which expression verify the volume formula for the cylinder given in diagram.

So,

We know that height of the cylinder is given by h = 2x + 7 and

radius r = x - 3.

We know that the formula of volume of cylinder is:

Volume of a cylinder = (pi)r^2h

and Substituting the given values in the above formula

And the volume becomes

Volume = (pi)r^2h

Volume = (pi)( x-3 )^2 (2x+7)

Volume = (pi) ( x^2 + 9 - 6x ) (2x+7)

Volume = (pi) ( 2x^3 + 7x^2 +18x +63 - 42x)

So, The Volume of cylinder represented by the option B.

Learn more about Volume here brainly.com/question/1972490

Disclaimer: This question is incomplete. Please find the full content below.

Question:

The volume of a cylinder is given by the formula V= pi^2h, where r is the radius of the cylinder and h is the height: which expression represents the volume of this cylinder?

a) Volume = (pi) ( 3x^3 + 7x^2 +14x +63 - 42x)

b) Volume = (pi) ( 2x^3 + 7x^2 +18x +63 - 42x)

c) Volume = (pi) ( 7x^3 + 7x^2 +11x +63 - 42x)

d) Volume = (pi) ( 11x^3 + 7x^2 +13x +63 - 42x)

#SPJ4

7 0
1 year ago
I need help ASAP !!!!!
s2008m [1.1K]

Answer:

the answer is -352..........

6 0
2 years ago
The surface area of a right cone is 400.2 m2. The radius of the cone is 6.0 m. Determine the height of the cone to the nearest m
svetoff [14.1K]
                 S = πr(r + √(h² + r²))
          400.2 = 3.14(6)(6 + √(h² + 6²))
          400.2 = 18.84(6 + √(h² + 36))
          18.84                 18.84
        21¹⁰⁹/₄₇₁ = 6 + √(h² + 36))
        - 6         - 6
        15¹⁰⁹/₄₇₁ = √(h² + 36)
231²²¹⁰⁰⁵/₂₂₁₈₄₁ = h² + 36
- 36                       - 36
195²²¹⁰⁰⁵/₂₂₁₈₄₁ = h²
                14 ≈ h
8 0
3 years ago
The surface areas of two similar figures are 25 in2 and 36 in2. If the volume of the smaller figure is 250 in3, what is the volu
Slav-nsk [51]
Since the figures are similar, we can establish a rule of three as follows.
We know that the area of the smaller figure is 25in^{2}, and its volume is 250in^{3}. We also know that the area of the larger figure is 36in^{2}; since we don't now its volume, lets represent it with X:
\frac{25in^{2}----\ \textgreater \ 250in^{3}}{36in^{2}----\ \textgreater \ Xin^{3}} 
\frac{25}{36} = \frac{250}{X}
X= \frac{(250)(36)}{25}
X=360

We can conclude that the volume of the larger figure is 360in^{3}; therefore, the correct answer is a.
6 0
3 years ago
Read 2 more answers
The scale on a trail map is 0.5 cm : 1 km. The straight distance between 2 huts on the trail is 16.9 cm. What is the actual dist
sesenic [268]

We have been given that the scale on a trail map is 0.5 cm : 1 km. The straight distance between 2 huts on the trail is 16.9 cm. We are asked to find the actual distance between 2 huts.

We will use proportions to solve our given problem.

\frac{\text{Actual length}}{\text{Scale length}}=\frac{\text{1 km}}{\text{0.5 cm}}

\frac{\text{Actual length}}{\text{16.9 cm}}=\frac{\text{1 km}}{\text{0.5 cm}}

\frac{\text{Actual length}}{\text{16.9 cm}}\times \text{16.9 cm}=\frac{\text{1 km}}{\text{0.5 cm}}\times \text{16.9 cm}

\text{Actual length}=\frac{\text{1 km}}{\text{0.5}}\times \text{16.9}

\text{Actual length}=33.8\text{ km}

Therefore, the actual distance between both huts is 33.8 km.

6 0
3 years ago
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