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1 year ago

Consider a simple basket of goods that assumes consumers buy only bread and milk. The basket consists of 3 loaves of

Mathematics

2 answers:

viva [34]1 year ago

6 0

<u>Answer:</u>

CPI in year 2 = 108.78$

Rate of inflation from 1st year to 2nd = 0.9%

<u>Explanation:</u>

CPI = Consumer Price Index

= (Cost of Market Basket in Given year/Cost of Market Basket at base) * 100

given price of bread and a gallon of milk

in year one (base year) = $1.50 and $2.90 respectively and that

in second year = $1.65 and $3.10 respectively

Since the basket consists of 3 loaves of bread and 1 gallon of milk

Cost of basket in 2nd year = 3 x 1.65 + 1 x 3.10 = 8.05

cost of basket in 1st year = 3 x 1.50 + 1 x 2.90 = 7.40

CPI = (8.05/7.40) x 100

= 108.78 $

we know ,Rate of inflation is given by

= (CPI in year 2 - cpi in year 1)/ cpi in year 1

= (108.78 -100)/100

= 0.0878

= 0.9%

borishaifa [10]1 year ago

3 0

Answer:

The CPI for year is 108.78, and the rate of inflation from year 1 to year 2 is 8.78%.

Step-by-step explanation:

Just took the test.

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According to the number line, what is the distance between points A and B?

Ainat [17]

Answer:

D)14 units

Step-by-step explanation:

Just counts how many numbers you get from point A to B. Its pretty simple.

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2 years ago

There are about 1.61 kilometers in 1 mile. Let LaTeX: xx represent a distance measured in kilometers and LaTeX: yy represent the

expeople1 [14]

Answer:

1.61 x km= y miles

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Step-by-step explanation:

Let x represent the distance in Kilometers and y represent the distance in miles then

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8.05 km = 5 miles

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x km= y/ 1.61 miles

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2 years ago

A juice company produces 8,064 cartons of juice in 21 days. Each day, they produced the same number of cartons and delivered tho

KatRina [158]

8064 cartons in 21 days......8064/21 = 384 cartons per day

the cartons were delivered in cases of 6.....384 / 6 = 64 cases

each of 16 coffee shops received an equal number of cases..
64/16 = 4.....so each coffee shop received 4 cases per day <==

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1 year ago

Read 2 more answers

As concert goers enter a stadium, a security guard randomly inspects their backpacks for alcoholic beverages. Of 130 backpacks c

lisov135 [29]

Answer:

a. The population refers to targeted area under study which is all the backpacks of concertgoers

b. The sample refers to that part of the population inspected for study which is the number of backpacks checked in this case

c. P is the percentage or proportion of all backpacks of concertgoers that contained alcoholic beverages

e Using a confidence interval of 95%, I will.

This is because the true proportion lies between 7.3% and 18.9% and the data given in the question has an estimate of 13.1% which lies within the range of values

Step-by-step explanation:

PLEASE CHECK ATTACHMENT FOR EXPLANATION AND STEP BY STEP SOLUTION

4 0

2 years ago

Between 0 degrees Celsius and 30 degrees Celsius, the volume V (in cubic centimeters) of 1 kg of water at a temperature T is giv

Ira Lisetskai [31]

Answer:

T = 3.967 C

Step-by-step explanation:

Density = mass / volume

Use the mass = 1kg and volume as the equation given V, we will come up with the following equation

D = 1 / 999.87−0.06426T+0.0085043T^2−0.0000679T^3

= (999.87−0.06426T+0.0085043T^2−0.0000679T^3)^-1

Find the first derivative of D with respect to temperature T

dD/dT = $\dfrac{70000000\left(291T^2-24298T+91800\right)}{\left(679T^3-85043T^2+642600T-9998700000\right)^2}$

Let dD/dT = 0 to find the critical value we will get

$\dfrac{70000000\left(291T^2-24298T+91800\right)}$ = 0

Using formula of quadratic, we get the roots:

T = 79.53 and T = 3.967

Since the temperature is only between 0 and 30, pick T = 3.967

Find 2nd derivative to check whether the equation will have maximum value:

$-\dfrac{140000000\left(395178T^4-65993368T^3+3286558821T^2+2886200857800T-121415215620000\right)}{\left(679T^3-85043T^2+642600T-9998700000\right)^3}$

Substituting the value with T=3.967,

d2D/dT2 = -1.54 x 10^(-8) a negative value. Hence It is a maximum value

Substitute T =3.967 into equation V, we get V = 0.001 i.e. the volume when the the density is the highest is at 0.001 m3 with density of

D = 1/0.001 = 1000 kg/m3

Therefore T = 3.967 C

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2 years ago