Please help me I don’t understand stand it

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

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What is the value of x in the function f (x)=4/3x+6 when f (x) = 22?<br> x=?

mamaluj [8]

Answer:

$x=12\\$

Step-by-step explanation:

$f(x)=22\\\\\frac{4}{3}x +6=22\\\\\frac{4}{3}x=16\\\\x= 12$

8 0

3 years ago

When plucked, the high E string on a guitar has a frequency of 330 cycles per second. What sine function represents this note wh

Ber [7]

Let's analyse the function

$y = f(x) = A\sin(\omega x)$

The amplitude is A, so we want A=1.5

Now, we start at x=0, and we have $1.5\sin(0)=0$

After one second, i.e. x=1, we want this sine function to make 330 cycles, i.e. the argument must be $330\cdot 2\pi$

So, we have

$f(1)=1.5\sin(\omega) = 1.5\sin(660\pi)$

so, the function is

$f(x) = 1.5\sin(660\pi x)$

4 0

4 years ago

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Solve the system of equations. Type in all points of intersection for the two functions and round to the nearest tenth if necess

Veseljchak [2.6K]

The points of intersection for the two functions and round to the nearest tenth are (0.5, 1.4) and (4.85, -0.3)

<h3>System of equations</h3>

Given the following function

f(x) = - 0.5x + 2

g(x) = x^3 - 5x^2 + 3

The point of intersection is the point where f(x) = g(x)

x^3 - 5x^2 + 3 = - 0.5x + 2

x^3 - 5x^2 + 3 + 0.5x - 2 = 0

x^3 - 5x^2 + 0.5x + 1 = 0

Factorize and determine the value of x

x = 0.53 and 4.85

If x = 0.53

f(0.53) = -0.5(0.53) + 2

f(0.53) = -0.265 + 2

f(0.53) = 1.375

If x = 4.85

f(4.85) = -0.5(4.85) + 2

f(4.85) = -2.425 + 2

f(4.85) = -0.245

Hence the points of intersection for the two functions and round to the nearest tenth are (0.5, 1.4) and (4.85, -0.3)

Learn more on functions here: brainly.com/question/10439235

#SPJ1

3 0

2 years ago

Point N is on line segment \overline{MO} MO . Given MO=3x-10,MO=3x−10, NO=x,NO=x, and MN=8,MN=8, determine the numerical length

nlexa [21]

Answer:

17

Step-by-step explanation:

5 0

3 years ago

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