A dime has the same value of 10 pennies. Marley brought 290 pennies to the bank. How many dimes did Marley get?

What is the value of the expression when n = 3? -2n(5+n - 8 -3n)

DIA [1.3K]

Answer:

54

Step-by-step explanation:

6 0

2 years ago

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Art wants to know how much he'll have to invest today to receive an annuity of $8,000 for three years if interest is earned at 1

Svet_ta [14]

He should invest $80,000 if he wants $8,000 at 10% interest. He can withdraw $8,000 at the end of each year. This is because if $8,000 is 10% of what he has in his bank account, to get the full amount (100%), we can multiply by 10, because 10% x 10= 100%. So $8,000 x 10= $80,000.

6 0

1 year ago

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

viva [34]

Answer:

CPI in year 2 = 108.78$

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

Explanation:

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%

6 0

1 year ago

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Priya is hosting a poetry club meeting this week and plans to have fruit punch and cheese for the meeting. She is preparing 8 ou

Korvikt [17]

Answer:

i) Number of people in club = 12

ii) 96 ounces of fruit punch for 12people

iii) 24 ounces of cheese for 12 people

iv) Priya's budget for poetry club meeting in dollars = $7.87

Step-by-step explanation:

We are not given the options for the equations that could represent the quantities and constraints in this situation. We can tell we are to represent the information given above.

Number of people in the club = 12

8 ounces of fruit punch per person

For 12 people = 12×8 = 96 ounces of fruit punch

2 ounces of cheese per person

For 12 people = 12×2 = 24 ounces of cheese

A package of cheese = 16 ounces

The costs for 1package = $3.99

The costs for 16 ounces of cheese = $3.99

The cost for 24 ounces of cheese = (24×3.99)/16 = 5.985

The cost for 24 ounces of cheese = $5.99

One-gallon jug of fruit punch = 128 ounces

The cost of One-gallon jug of fruit punch = $2.50

The costs of 128 ounces of fruit punch = $2.50

The costs for 96 ounces of fruit punch = (96×2.5)/128 = 1.875

The costs for 96 ounces of fruit punch = $1.88

Priya's budget for poetry club meeting in dollars = $5.99 + $1.88 = $7.87

Cost per item for x number of people:

y = x(2.5/128) + x (3.99/16)

y = x(0.0195) + x(0.2494)

Cost equation for Priya's budget:

y = 96x(2.5/128) + 24x (3.99/16)

y = 96x(0.0195) + 24x(0.2494)

Since the total number of people to attend the meeting is 12, the constraint = 0≤x≤12

6 0

2 years ago

A writer makes on average one typographical error every page. The writer has landed a 3-page article in an important magazine. I

marysya [2.9K]

Answer:

The probability that the reporter made no typographical errors for the 3-page article is 5%.

Step-by-step explanation:

Let X = number of typographical errors made by the writer.

The average umber of mistakes mad by the writer every page is, E (X) = 1.

The random variable X is defined as finite number of occurrence of a certain activity in a fixed interval of time.

A Poisson distribution is used to describe the distribution of occurrences in a certain interval.

Thus, the random variable X follows a Poisson distribution.

It is provided that the writer has landed a 3-page article in an important magazine.

Then the average number of mistakes in the 3 pages is:

λ = 3 × E (X) = 3 × 1 = 3.

The probability mass function of the Poisson random variable X is:

$P(X=x)=\frac{e^{-3}3^{x}}{x!};\ x=0,1,2,3...$

Compute the probability that the writer makes no mistake in a 3-page article as follows:

$P(X=0)=\frac{e^{-3}3^{0}}{0!}=\frac{0.0498\times 1}{1}=0.0498\approx 0.05$

The probability that the writer makes no mistake in a 3-page article is 0.05.

Thus, the probability that the reporter made no typographical errors for the 3-page article is 5%.

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1 year ago

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