Answer with Explanation:
Question does not state what kind of interest, here are the three common possibilities:
1. Simple interest of 6%:
Future value (FV) = 3000*(1+0.06*20) = $6600
2. compounded annually:
Future value (FV) = 3000*(1+0.06)^20 = $9621.41 (nearest cent)
3. compounded monthly:
Future value (FV) = 3000*(1+0.06/12)^(20*12) = $9930.61 (nearest cent)
Answer:
Monthly deposit= $2,625.16
Explanation:
Giving the following information:
Total cost= 2,676*3= $8,028
Monthly interest rate0 0.023/12= 0.00192
<u>First, we need to calculate the nominal value required at the end of the third month:</u>
PV= FV / (1 + i)^n
FV= 8,028
i= 0.00192
n= 9 months
PV= 8,028 / (1.00192^9)
PV= $7,890.6
<u>Now, the monthly investment to reach $7,890.6:</u>
FV= {A*[(1+i)^n-1]}/i
A= monthly deposit
Isolating A:
A= (FV*i)/{[(1+i)^n]-1}
A= (7,890.6*0.00192) / [(1.00192^3) - 1]
A= $2,625.16
Answer:
Rate = $33
Maximum Income = $5445
Explanation:
Let x be the amount of increase in rental to achieve maximum profit.
So, Rate = (30+x)
When rate increase by x, the quantity decreases by (180 -5x).
Income = (30+x) * (180 - 5x)
Income = 5400 - 150x + 180x - 5x²
Income = -5x² + 30x + 5400
The income will be maximized when derivative of Income is zero.
Taking derivative,
- dI/dx = 2 * -5x + 1 * 30x° + 0
- -10x + 30 = 0
- -10x = -30
- x = -30 / -10
- x = 3
The rate at which cars should be rented to earn maximum income is 30 + 3 = $33 per day per car.
Maximum Income will be,
Rate = 33
Quantity = 180 - 5(3) = 165 cars
Max Income = 33 * 165 = $5445
The characteristic exhibited by the data point on a control chart that falls above the upper control limit is known as a <u>special cause variation</u><u>.</u>
<u></u>
<h3>What is a special cause variation?</h3>
In statistics, a special cause variation refers to a shift in output caused by a specific factor like environmental factors, input parameters etc
In conclusion, the characteristic exhibited by the data point on a control chart that falls above the upper control limit is known as a <u>special cause variation
</u>
<u></u>
Read more about special cause variation
<em>brainly.com/question/17333354</em>
Answer:
D. all residential mortgages for occupancy only.
Explanation:
- The act applies to the loan purchases, property investments and equity lines of credit. It proves brokers to give disclosure of borrowers regarding the real estate.
