A year has two semesters, then
n = 2<span>v(t)=p<span><span>(<span>1+<span>r/2</span></span>)</span><span>2t
</span></span></span><span>
3875.79 = 1900∗<span><span>(<span>1+(<span>0.04/2)</span></span>)^</span><span>2t
</span></span></span><span>
2.0398895 = <span><span>(<span>1+<span>0.042</span></span>)^</span><span>2t
</span></span></span>Apply natural logarithm on both sides
<span>ln(2.0398895) = ln<span>[<span><span>(<span>1+<span>0.042</span></span>)^</span><span>2t</span></span>]
Then simplify,
</span></span><span>0.712896 = 2t∗ln(1.02)
</span><span>t = <span>0.712896 / (<span>2∗ln(1.02))
</span></span></span><span><span>
t=18 years
I hope my answer helped you. Have a nice day!</span></span>
Answer:
Mark will have at the end of six years the amount of $25,865.74
Explanation:
According to the given data we have the following:
First investment = 2500
Investment increasing at rate of 10%
Interest rate = 13%
t=6 years
Present value is given by formula = C * [((1+g)^n/(1+i)^n) - 1 ] / (g-i)
C is first value = 2,500
g is increase in investment = 0.10
i is intrest rate = 0.13
n is no of years = 6
Putting values into the equation
P = 2500* [((1+ 0.10)^6/(1+0.13)^6) - 1 ] / (0.10-0.13) 1.771561 2.08195
P = 2500* [((1.10)^6/(1.13)^6) - 1 ] / (-0.03)
P = 2500* [0.8509142870866 - 1 ] / (-0.03)
P = 2500* (-0.14908571)/ (-0.03)
P = 2500* 4.9695236
P=$12,423.809
Future value = P*(1+i)^t
= $12,423.809 *(1+0.13)^6
= $25,865.74
Mark will have at the end of six years the amount of $25,865.74
In a business world, segregation of duties is important to have a sound internal control. The employee handing cash/check collection is prohibited from updating its customer's subsidiary ledger and recording of transactions in the books. This will eliminate fraud and misappropriation of funds.
Based on the information given, Legume Division's net operating income last year will be $29580.
Firstly,we will calculate the turnover which will be:
= Sales / Operating costs
= $870000 / 2
= $435000
The return on investment will be:
= Net operating income / Operating assets
Therefore, the net operating income will be:
= $435000 × 6.8%
= $29580
Learn more about income on:
brainly.com/question/8549393
Answer:
A) buyers of gasoline bear a higher burden of the $2 tax than buyers of paperback novels.
Explanation:
The flatter the demand curve, the more elastic. In this case, D2, the demand curve for gasoline is more steeper which means it is more inelastic. Also, S2, the supply curve for gasoline is extremely elastic since it is almost horizontal.
When a tax is imposed on a good, the largest burden will fall on the side (suppliers or consumers) whose demand or supply curve is more inelastic. When a curve is inelastic, it means that a 1% price change will affect the quantity demanded in a smaller proportion.
