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3 years ago

Must a copyright symbol be displayed to protect the copyright?

Business

1 answer:

xxMikexx [17]3 years ago

7 0

Answer:

The answer is "Yes, a copyright symbol must be added to protect the copyright".

Explanation:

A copyright notice © is a symbol placed on copies of an intellectual property to protect it.

Plagiarism occurs when an intellectual property is used without acknowledging the author. this is an offence punishable by law.

It is possible to be safe without incorporating the copyright symbol but it is a gamble and here is why.

If the copyright notice is not included and someone plagiarizes innocently, it is called innocent infringement.

Innocent infringement suits in most cases does not favor the author. To avoid losing a suit over copyright protection issues, a copyright notice is a must.

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Kremena's bank account earns 4.5% simple interest. How much must she deposit in the account today if she wants it to be worth $1

12345 [234]

Answer:

$1,101.32

Explanation:

Simple interest accounts balances are calculated using the following formula

A = P ( 1 + rt)

where:

A = final account balance

P = starting balance

r = interest rate (annually) percentage divided by 100

t = years

Therefore, we can plug in the values provided in this formula and solve for P which would be the amount that Kremena needs to deposit.

1,250 = P ( 1 + (0.045 * 3))

1,250 = P * 1.135 ... divide both sides by 1.135

1,101.32 = P

Finally, we can see that Kremena would need to deposit a total of $1,101.32 to have the amount that she wants after 3 years.

4 0

2 years ago

Holding other factors constant, if new technology becomes available that allows machines to produce manufactured goods more quic

Ber [7]

Answer: Increase; increase

Explanation:

Efficiency is so vital to business and manufacturing. The ability of a business to produce and curb minimal loss will give a boast on production and encourage manufacturers to do more, especially when they have the ability to produce in large quantity (by batches) and still get a good ratio for the number of goods manufactured. This is where machines has aided productivity, as they were introduced, productivity increased and they were minimal loss and time waste when producing. When technology allows for more of this effective machines, manufacturers will produce more and there would be a boast in investment.

4 0

2 years ago

RuthAnn is 28 years old and is retiring at the age of 65. When she retires, she estimates that she will need an annual income of

inessss [21]

Answer:

Yes

Explanation:

From her current age of 28 to her retirement age of 65, RuthAnn has (65 - 28 =) 37 more years to work.

If she saves 11% of her annual income of $36,278.13 into a 401(k), she will be setting aside (11% * 36,278.13 =) $3,990.59 into the 401(k) account annually.

At 7.1% compounding rate, in 37 years, RuthAnn would have set aside an amount estimated by the future value of an annuity formula.

$FV = \frac{A(1+r)^{n} - 1}{r}$

where FV is the future value, the amount that would have been set aside,

A = is the annual savings,

r = is the compounding rate, and

n = is the number of years.

Therefore, the total amount that would be saved up after 37 years =

$FV = \frac{3,990.59(1+0.071)^{37} - 1}{0.071}$

= (3,990.59 * 11.6535)/0.071

= $654,990.31.

By spending $32,523 annually from an account earning 7.1% compound interest rate for 30 years, the present value of the total amount needed by RuthAnn today that will be sufficient for her retirement spending can be estimated using the present value of an annuity formula.

$PV = \frac{A(1 - (1+r)^{-n}}{r}$

= $PV = \frac{32,523(1 - (1.071)^{-30}}{0.071}$

= (32523 * 0.8723)/0.071

= $399,574.83.

Since the amount saved up ($654,990.31) is more than the total amount required for RuthAnn's retirement ($399,574.83), RuthAnn has more than sufficient to meet her Retirement goal.

Specifically, the amount she has saved up can support a maximum annual spending which can be estimated from the present value of an annuity formula.

$PV = \frac{A(1 - (1+r)^{-n}}{r}$

where PV = the amount saved up, $654,990.31,

A = the annual spending which we are estimating,

r = the 7.1% compound interest rate,

n = the number of years to retirement.

$654,990.31 = \frac{A(1 - (1.071)^{-30}}{0.071}$

= 654,990.31 = (A * 0.8723)/0.071

= A = 654,990.31/0.8723 * 0.071

= A = 53,312.29

Thus, the amount saved up can support a maximum retirement spending of $53,312.29, which is higher than the $32,523 annual income needed by RuthAnn for her retirement.

6 0

2 years ago

You want to buy a new car, but you can make an initial payment of only $1,200 and can afford monthly payments of at most $850. a

Leviafan [203]

Answer:

a. The maximum price you can pay for the car is $33,477.87.

b. The maximum price you can pay for the car is $39,411.78.

Explanation:

a. If the APR on auto loans is 12% and you finance the purchase over 48 months, what is the maximum price you can pay for the car? (Do not round intermediate calculations. Round your answer to 2 decimal places.)

This can be determined as follows:

Calculation of the Present Value (PV) of the monthly payments

To calculate, the formula for calculating the present value of an ordinary annuity is used as follows:

PV = P * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)

Where;

PV = Present value of the monthly payments = ?

P = Monthly payment = $850

r = monthly interest rate = annual percentage rate (APR) / 12 = 12% / 12 = 1%, or 0.01

n = number of months = 48

Substitute the values into equation (1) to have:

PV = $850 * ((1 - (1 / (1 + 0.01))^48) / 0.01)

PV = $850 * 37.9739594934803

PV = $32,277.87

Calculation of the maximum price you can pay for the car

Given in the question is initial payment of only $1,200.

The present value of the monthly payments calculated above is $32,277.87.

Therefore, we have:

Maximum price = Initial payment + Present value of the monthly payments = $1,200 + $32,277.87 = $33,477.87

Therefore, the maximum price you can pay for the car is $33,477.87.

b. How much can you afford if you finance the purchase over 60 months? (Do not round intermediate calculations. Round your answer to 2 decimal places.)

This can also be determined as follows:

Calculation of the Present Value (PV) of the monthly payments

To calculate this, we use equation (1) in part (a) above, change number f months to 60 and proceed as follows:

PV = Present value of the monthly payments = ?

P = Monthly payment = $850

r = monthly interest rate = annual percentage rate (APR) / 12 = 12% / 12 = 1%, or 0.01

n = number of months = 60

Substitute the values into equation (1) to have:

PV = $850 * ((1 - (1 / (1 + 0.01))^60) / 0.01)

PV = $850 * 44.9550384062241

PV = $38,211.78

Calculation of the maximum price you can pay for the car

Given in the question is initial payment of only $1,200.

The present value of the monthly payments calculated above is $38,211.78.

Therefore, we have:

Maximum price = Initial payment + Present value of the monthly payments = $1,200 + $38,211.78 = $39,411.78

Therefore, the maximum price you can pay for the car is $39,411.78.

5 0

2 years ago

Which is riskier, but has the potential for a higher rate of return? saving or investing

Arisa [49]

Investing is riskier but has the potential for a higher rate of return

7 0

3 years ago

Read 2 more answers