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3 years ago

Design Math Quiz

Business

1 answer:

LiRa [457]3 years ago

4 0

Answer:

b) 4,000 + 5 x 1,000

Explanation:

The cost of 1000 items will be the total of

1). the set up cost

2). The per item cost multiplied by 1000 units

Therefore, the cost function will

=set up cost($4000 ) + cost of 1000 items( $5 x 1000)

=$4000 + $5 x 1000

You might be interested in

In 2013, there were approximately 155 million people in the labor force and the unemployment rate was 7.4 percent. If the unempl

Marianna [84]

Answer:

(a) 3.7

(b) 3.7

Explanation:

The unemployment rate is calculated as the ration of unemployed workers over the labor force. The labor force is the total number of employed plus unemployed workers:

$Unemployment\,Rate=\frac{Unemployed\,Workers}{Labor\,Force}=\frac{Unemployed\,Workers}{Employed\,Workers+Unemployed\,Workers}$

Then if there were 155 million people in the labor force and 7.4% where unemployed that means that 11.47 million people where unemployed

$0.074=\frac{Unemployed\,Workers}{155}$

$Unemployed\,Workers=0.074*155=11.47$

If unemployment rate would have been 5% we have

$Unemployed\,Workers=0.05*155=7.75$

That means that 3.72 million fewer unemployed workers. Since Labor Force is the sum of unemployed and employed workers. The reduction in unemployment implies that they were now employed .

5 0

4 years ago

A tour group split into two groups when waiting in line for food at a fast food counter. The first group bought 8 slices of pizz

creativ13 [48]

Answer:

The cost of an slice of pizza is $3.94

Explanation:

Hi, we have to construct 2 equations with the information of the problem, the first one is " 8 slices of pizza and 7 soft drinks for $45.10".

$8P+7D=45.10$

And the second one, when "The second group bought 6 slices of pizza and 5 soft drinks for $33.34" is.

$6P+5D=33.34$

Where: P = pizza slices and D= soft drinks

We need to substract one equation from the other, but firs we need to equal one of the variables. In order to do so, we multiply our first equation by 5 and the second one for 7, therefore we get.

First equation

$40P+35D=225.5$

And the second one:

$42P+35D=233.38$

And now, we substract them and solve.

$40P+35D-(42P+35D)=225.5-233.38$

$40P-42P+35D-35D=-7.88$

$-2P=-7.88$

$P=\frac{-7.88}{-2} =3.94$

The cost of a slide of pizza is $3.94

In case you needed to find the cost of the soft drink, we just substitute P for 3.94 in any of the initial equations, that is:

$8(3.94)+7D=45.1$

$7D=13.58$

$D=1.94$

The cost of a soft drink is $1.94

Best of luck.

7 0

3 years ago

Daniel, age 38, is single and has the following income and expenses in 2020:

Sliva [168]

Answer:

See below

Explanation:

a. Classify the following expenses as either " Deductible for AGI " , " Deductible from AGI " , or " not deductible".

Particulars

•Payment of Alimony ----- Not deductible

•Mortgage interest on residence---Deductible from AGI

•Property tax on residence------Deductible from AGI

•Contribution to traditional IRA (assume the amount is fully Deductible)----Deductible for AGI

Contribution to United Church-------Deductible from AGI

Loss on the sale of real estate(held for investment)-------Deductible for AGI

Medical expenses------deductible from AGI

State income tax-----------deductible from AGI

Federal income tax-------Not deductible

What is Daniel's Gross income and his AGI

I. Gross income

Salary income + net rent income + dividend income

$165,000 + $12,500 + $2,900

$180,400

ii AGI

Gross income - (Contribution to traditional IRA + loss on sale of real estate)

$180,400 - ($4,800 + $575)

$175,025

b. Because Daniel's total itemized deductions (after any limitations) are $14,900 (Please see workings below), he would benefit from itemizing his deductions from AGI

•Workings

Mortgage interest on residence $8,300

Property tax on residence

$3,400

Contribution to United Church

$1,700

State income tax

$1,500

Medical expenses[Medical expenses that are allowed for tax deductions should not be more than 10% Adjusted gross income

Total itemized deductions

$14,900

3 0

3 years ago

Arturiano [62]

Answer:

Explanation:

3 0

3 years ago

At the end of every 3 months, Teresa deposits into an account that pays 5% compounded quarterly. After she puts the accumulated

NikAS [45]

Answer:

The amount Teresa will have accumulated when this certificate matures is $2,452.16.

Explanation:

Note: This question is not complete as some important data are omitted. The complete question is therefore provided before answering the question as follows:

At the end of every 3 months, Rita deposits $100 into an account that pays 5% compounded quarterly. After 5 years, she puts the accumulated amount into a certificate of deposit paying 8.5% compounded semiannually for 1 year. When this certificate matures, how much will Teresa have accumulated?

The explanation of the answers is now provided as follows:

Step 1: Calculation of accumulated amount after 5 years.

Since the deposits are paid at the end of every 3 months, the accumulated amount after 5 years can be calculated using the formula for calculating the Future Value (FV) of an Ordinary Annuity as follows:

FV5 = P * (((1 + r1)^n1 - 1) / r) ................................. (1)

Where,

FV5 = Future value or accumulated amount after 5 years = ?

P = Quarterly deposit or deposit at the end of every 3 months = $100

r = Quarterly interest rate on the account = Interest rate on the account / Number of quarters in a year = 5% / 4 = 0.05 / 4 = 0.0125

n = number of quarters = 5 years * Number of quarters in a year = 5 * 4 = 20

Substituting the values into equation (1), we have:

FV5 = $100 * (((1 + 0.0125)^20 - 1) / 0.0125) = $2,256.30

Therefore, the accumulated amount after 5 years is $2,256.30.

Step 2: Calculation of the amount Teresa will have accumulated when this certificate matures.

This can be calculated using the simple future value (FV) as follows:

FVM = FV5 * (1 + R)^N ……………………… (2)

FVM = Accumulated amount at maturity = ?

R = semi-annual interest rate on certificate of deposit = Interest rate on certificate of deposit / Number of semiannuals in a year = 8.5% /2 = 0.085 / 2 = 0.0425

N = number of semiannuals = 1 year * Number of semiannuals in a year = 1* 2 = 2

Substituting the values into equation (2), we have:

FVM = $2,256.30 * (1 + 0.0425)^2 = $2,452.16

Therefore, the amount Teresa will have accumulated when this certificate matures is $2,452.16.

3 0

3 years ago