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quester [9]
3 years ago
6

"Find the amount of each payment to be made into a sinking fund which earns 7​% compounded quarterly and produces ​$50 comma 000

at the end of 3.5 years. Payments are made at the end of each period."
Business
1 answer:
Elodia [21]3 years ago
3 0

Answer:

Quarterly deposit= $3,182.78

Explanation:

Giving the following information:

A sinking fund earns 7​% compounded quarterly and produces ​$50,000 at the end of 3.5 years.

We need to find the quarterly deposit made at the end of each period.

<u>First, we need to calculate the quarterly interest rate:</u>

Interest rate= 0.07/4= 0.0175

To calculate the deposit, we need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= quarterly deposit

Isolating A:

A= (FV*i)/{[(1+i)^n]-1}

n= 3.5*4= 14

FV= 50,000

i= 0.0175

A= (50,000*0.0175)/ [(1.0175^14)-1]= $3,182.78

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The given statement belongs to "Uplift modelling" concept.

Explanation:

In analytical CRM Concept

Uplift modeling , customer segmentation and Website personalization are exist.

Uplift Modeling is an observational marketing method that forecasts the variance in the behaviour of consumers of a marketer's actions.

It splits the audience into groups that respond to the marketing camp against a control group based on the expected disparity.

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Joe is currently in consumer equilibrium by consuming cheese and crackers, such that the last cracker consumed yielded 8 utils a
Ludmilka [50]

Joe should decrease his consumption of crackers and his marginal utility from crackers will  increase and also  increase his consumption of cheese and his marginal utility from cheese will decrease .

<h3>What happens to marginal utility when consumption decreases?</h3>

According to the Law of Diminishing Marginal Utility, the additional utility derived from increasing consumption declines with each additional increase in consumption level.

What happens to marginal utility when consumption increases?

According to the law of declining marginal utility, when consumption rises, the marginal utility gained from each extra unit decreases, all other things being equal.

Why does marginal utility decrease as more is consumed?

  • Consumers will only purchase more of a specific good if the price drops since they get less satisfaction from consuming more units of that good.
  • Thus, the law of diminishing marginal value contributes to the understanding of the law of demand.

Learn more about marginal utility brainly.com/question/15149015

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4 0
2 years ago
Which option allows you to pool your money and invest in a portfolio with other
Levart [38]

Answer:

a mutul fund

A mutual fund is a company that pools money from many investors and invests the money in securities such as stocks, bonds, and short-term debt. The combined holdings of the mutual fund are known as its portfolio. Investors buy shares in mutual funds.

Explanation:

have a great day ahead ":)

6 0
2 years ago
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Brutus Inc is considering the purchase of a new machine for $500,000. It is expected that the equipment will generate annual cas
anygoal [31]

Answer:

8 years

Explanation:

Given: Cost of new machine= $500000.

           Annual cash inflow= $100000.

           Annual cash outflow= $37500.

First, we will calculate annual payback or cash inflow.

Annual payback= (cash\ inflow - cash\ outflow)

∴Annual payback= (\$ 100000 - \$ 37500)= \$ 62500

Now computing cash payback period.

Cash payback period= \frac{initial\ investment}{annual\ payback}

Cash payback period= \frac{500000}{62500} = 8\ yrs

∴ Cash payback period is 8 years.

When payback period is short then investment is more attractive.

6 0
3 years ago
A decrease in supply will cause the smallest increase in price when
andre [41]

Answer:

Both supply and demand are elastic.

Explanation:

Demand or supply elasticity is defined as elasticity or responsiveness with more than one numerical value, which indicates their high response to the change in price.  

Elastic demand: It is the percentage change in quantity demanded due to the change in price in absolute value of the product.

The elasticity of supply: It is defined as the response of the quantity of a good supplied to a change in the price of the good. Likely to be positive in output.

FORMULA; Elasticity of supply= (\%\ change\ in\ quantity\ supplied) / (\%\ change\ in\ price)

Due to the decrease in the supply of goods in the market, it leads to the scarcity of goods, therefore there is an increase in the price of goods.

6 0
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