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3 years ago

Which equation shows a linear relationship between the variables stated?

1 answer:

8 0

A and B cannot be the answer because they are square equations and not linear. C also is not the answer because you can't make m/a = something

D is the answer because you can divide both sides by I and get equation
V/I=R. Right side is linear therefore that is the answer.

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From 1960 to 1980 , the consumer price index (cpi) increased from 29.6 to 82.4. If a frozen chicken pie cost $0.28 in 1960 and t

mojhsa [17]

CPI in 1960 = 29.6

CPI in 1980 = 82.4

Growth (%) in CPI = $\frac{\text{CPI in 1980 - CPI in 1960}}{\text{CPI in 1960}}$ × 100

⇒ Growth (%) in CPI = $\frac{82.4-29.6}{29.6}$ × 100

⇒ Growth (%) in CPI = 178.3783.. %

⇒ Growth (%) in CPI = 178.4%

Now, we know that price of frozen chicken pie in 1960 = $0.28

Also, we know that over 1960 to 1980, frozen chicken pie price grew at the same rate as CPI

Hence, Price of Chicken Pie in 1980 = Price of Chicken Pie in 1960 × (1 + Growth in CPI)

⇒ Price of Chicken Pie in 1980 = 0.28 × (1 + 178.4%)

⇒ Price of Chicken Pie in 1980 = 0.28 + (0.28 × 178.4%)

⇒ Price of Chicken Pie in 1980 = 0.28 + 0.49952

⇒ Price of Chicken Pie in 1980 = 0.28 + 0.50

⇒ Price of Chicken Pie in 1980 = $0.78

Hence, price of chicken pie in 1980 would be ~$0.78

8 0

3 years ago

Read 2 more answers

Write an algebraic equation to represent the problem:

Alex73 [517]

Answer:

20%

Step-by-step explanation:

That’s because 3/15 = 1/5, which is 20%

8 0

2 years ago

Read 2 more answers

the length of the shadow of a pole on level ground increases by 90m when the angle of elevation of the sun changes from 58 degre

Anarel [89]

Answer:

The height of the pole is 167 m

Step-by-step explanation:

The given parameters are;

Increase in the length of the shadow = 90 m

Initial angle of elevation of the Sun = 58°

Final angle of elevation of the Sun = 36°

We have a triangle formed by the change in the length of the shadow and the rays from the two angle of elevation to the top of the pole giving an angle 22° opposite to the increase in the length of the shadow

We have by sin rule;

90/(sin (22°) = (Initial ray from the top of the pole to the end of the shadow's length)/(sin(122°)

Let the initial ray from the top of the pole to the end of the shadow's length = l₁

90/(sin (22°) = l₁/(sin(122°)

l₁ = 90/(sin (22°) ×(sin(122°) = 283.3 m

Therefore;

The height of the pole = 283.3 m × sin(36°) = 166.52 m

The height of the pole= 167 m to three significant figures.

3 0

3 years ago

Read 2 more answers

F(n)=x2+1<br> g(n)=2x-5<br> Find f(n)-g(n)

Artist 52 [7]

Answer:

x^2 - 2x + 6

Explanation:

(x^2 + 1) - (2x - 5)
x^2 + 1 - 2x + 5
x^2 - 2x + 6

8 0

3 years ago

11. A regular polygon has an interior angle sum of 1260°. Solve for n, the number of sides of the polygon.

bagirrra123 [75]

Answer:

Given sum of interior angles = 1260. n = 13.

Step-by-step explanation:

Therefore the number of sides = 13.

8 0

3 years ago