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Yanka [14]
3 years ago
13

A basket of goods costs $85 in year 1. If the same basket costs $90 in year 2, what is the CPI for year 2?

Mathematics
2 answers:
Rus_ich [418]3 years ago
6 0

Answer:

5.88%

Step-by-step explanation: Change= (((90-85))/85)*100

=5.88%

uysha [10]3 years ago
6 0

Answer:

CPI = 105.88

Step-by-step explanation:

Given as

Basket of goods costs for first year = $88

Basket of goods costs for second year = $90

Now , Cost Price Index (CPI) (T)= \frac{cost of market basket (T)}{cost of market basket (b)} times 100

Or , CPI (T)= \frac{90}{85} times 100

∴ CPI (T) = 105.88      Answer

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The rectangle is 16 inches by 25 inches. If the scale is 4 in :5 ft what is the length and width of the rectangle in feet.
Alenkasestr [34]

Answer:

The length and width of the rectangle are 20 feet and 31.25 feet, respectively.

Step-by-step explanation:

Let the scale be 4\,in\,:\,5\,ft and the dimensions of the rectangle being 4 inches and 5 inches, respectively. The scale (r), measured in inches per feet, is equivalent to the following rational number:

r = \frac{4\,in}{5\,ft}

We can convert each length by dividing it by scale factor. That is:

Length

l' = \frac{16\,in}{\frac{4\,in}{5\,ft} }

l' = 20\,ft

Width

w' = \frac{25\,in}{\frac{4\,in}{5\,ft} }

w' = 31.25\,ft

The length and width of the rectangle are 20 feet and 31.25 feet, respectively.

8 0
3 years ago
Given the parent functions f(x) = 5x − 1 and g(x) = 3^x − 9, what is g(x) − f(x)?
Gre4nikov [31]
Hi!

I believe this will answer your question  the parent function of f(x) = 5x − 1  is 5,  the parent function of  g(x) = 3^x − 9 is 3^x ln (3), and g(x) − f(x) is -5f+g*3^x ln (3)
8 0
3 years ago
Determine how long it will take an object to rotate through 6.9 revolutions at an angular velocity of 3.1 radians per second. Us
gregori [183]

Answer: 13 . 99 seconds

Step-by-step explanation:

The formula to find how long it will take an object to rotate through 6.9 revolutions at an angular velocity is given as :

t = 2π x number of revolutions / angular velocity

Therefore :

t = 2π x 6.9 / 3.1

t = 2 x 3.142 x 6.9 / 3.1

t = 43.3596/3.1

t = 13. 98696774194

to the nearest tenth

t = 13. 99s

7 0
3 years ago
Simplify the expression.<br> (x 3/2)6
Sliva [168]

For this case we must simplify the following expression:

(x ^ {\frac {3} {2}}) ^ 6

We have that by definition of properties of powers that is fulfilled:

(a ^ n) ^ m = a ^ {n * m}

Then, rewriting the expression:

x ^ {\frac {3 * 6} {2}} =\\x ^ {\frac {18} {2}} =\\x ^ 9

Answer:

(x^{\frac{3}{2}})^6=x^9

6 0
3 years ago
PLEASE HELP I DON'T UNDERSTAND
OLga [1]
X = the number of months the tire was used
y = the thickness of the tire tread

y = -(3/7)x + 20

Substitute x for 20 (the number of months the tire was used) and solve for y.

The next question: Substitute x for 49 (the number of months the tire was used) and solve for y.


6 0
3 years ago
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