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ella [17]
2 years ago
12

Sales tax on a $400 stereo is $16. What is the tax on a $650 TV?

Mathematics
1 answer:
azamat2 years ago
7 0

The reason being is that we need to find it out of 100. So, we divide 400 by 4 and because we did that to the denominator we have to do it to the numerator so 16 divided by 4 is well 4. So we found out that is 4/100 we just divide that by 650 and we get 26.


TL;DR it’s $26

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What is the ratio of the area of sector ABC to the area of sector DBE?
shusha [124]

We have to find the" ratio of the area of sector ABC to the area of sector DBE".

Now,

the general formula for the area of sector is

Area of sector= 1/2 r²θ

where r is the radius and θ is the central angle in radian.


180°= π rad

1° = π/180 rad


For sector ABC, area= 1/2 (2r)²(β°)

= 1/2 *4r²*(π/180 β)

= 2r²(π/180 β)

For sector DBE, area= 1/2 (r)²(3β°)

= 1/2 *r²*3(π/180 β)

= 3/2 r²(π/180 β)

Now ratio,

Area of sector ABC/Area of sector DBE =\frac{2r^{2}*\ \frac{\pi}{180} beta}{3/2 r^{2}*\ \frac{\pi}{180}beta}

= 4/3

7 0
2 years ago
Read 2 more answers
Kent has two similar cylindrical pipes, Pipe A and Pipe B. The radius of Pipe A is 6 cm, and the radius of Pipe B is 2 cm. What
Alchen [17]

Answer: C)27:1

Step-by-step explanation:

Given, Kent has two similar cylindrical pipes, Pipe A and Pipe B. The radius of Pipe A is 6 cm, and the radius of Pipe B is 2 cm.

Volume of cylinder = \pi r^2h, where r= radius and h = height.

Also, If two figures are similar then ratio of volume is equal to the cube of any dimension .

The ratio of the volume of Pipe A to the volume of Pipe B is given by :-

\dfrac{\text{Volume of pipe A}}{\text{Volume of pipe B}}=\dfrac{6^3}{2^3}\\\\=\dfrac{216}{8}=\dfrac{27}{1}

Thus, the ratio of the volume of Pipe A to the volume of Pipe B = 27:1

So, the correct option is C)27:1.

7 0
2 years ago
Roberta invested $600 into a mutual fund that paid 4% interest each year compounded annually. Write an exponential function of t
Oksanka [162]

Answer:

The exponential equation is <em>A = 600(1.04)^15</em>

<em></em>

The value of the mutual fund after 15 years is <em>$1,081</em>

Step-by-step explanation:

The  value of the mutual fund after the number of years can be represented using the compound interest  equation below;

A = P(1 + r/n)^nt

Where A is the value of the mutual fund after 15 years, P is the initial amount invested which is $600, r is the interest rate which is 4% or 0.04(4% = 4/100 = 0.04), n is the number of times we are compounding per year(which is 1 since it is a one time payment per year) and t is the number of years which is 15

Let's plug these values, we have;

A = 600(1 + 0.04/1)^15

A = 600(1.04)^15

A = $1,081 approximately

8 0
1 year ago
Read 2 more answers
Suppose you have six people participating in a completely randomized comparative experiment. Three people will receive the treat
Karolina [17]

Answer:

20.

Step-by-step explanation:

This can be solved using combination technique. Since we have to choose 3 out of 6 and their order is not considered. Thus,

6 combination 3

= 6C3

= \frac{6!}{3!*(6-3)!}

= \frac{6*5*4*3!}{3!*3!}

= \frac{6*5*4}{3*2*1}

= \frac{6*5*4}{6}

= 5*4

= 20 ANSWER

3 0
2 years ago
Which of the coordinate points below will fall on a line where the constant of proportionality is 1/4? Select all that apply. A)
kompoz [17]

Answer:

A) (4,1)  C) (12,3) D) (20,5)

Step-by-step explanation:

Required

Which has a constant of proportionality of 1/4

To solve this, we make use of:

y = kx

Where k is the constant of proportionality.

Solve for x

k = y/x

<u>Testing the given options</u>

A) (4,1)

k = y/x

k =1/4

B) (8,12)

k = y/x

k =12/8

k =3/2

C) (12,3)

k = y/x

k = 3/12

k = 1/4

D) (20,5)

k = y/x

k = 5/20

k = 1/4

E) (12,6)

k = y/x

k =6/12

k =1/2

4 0
1 year ago
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