Answer:
maximum income is $900
Explanation:
given data
oil change = $20
per day = 40 customer
increase = $ 2
dailer customers = 2
owner charge = $ 2
to find out
income from the business
solution
we know current income is 40 × 20
current income = $800
we consider here price increase x and income as function y
so y = (20 +2x) × ( 40 - 2x) ........1
y = −4x² + 40x + 800
take derivative and put dy/dx = 0 for maximum
dy/dx = -8x + 40
0 = -8x + 40
x=5
so here from 1
y = (20 +2x) × ( 40 - 2x)
y = (20 +2(5)) × ( 40 - 2(5))
y = 30 × 30
y = 900
so maximum income is $900
Answer:
The answer is $41.67
Explanation:
Po = D1/r - g. This formula is called Discount Dividend Model and it is one of the methods used in valuing company's stock.
Po is the present or current value of the stock
D1 is the next year dividend payment
r is the discount rate
g is the growth rate.
Po = $5.00 /0.16 - 0.04
= $5.00/0.12
=$41.67
Therefore, the current stock price is $41.67
Answer:
correct answer is c. You both have the same amount of money
Explanation:
given data
invest = $1000
pay compound interest = 10%
pay simple interest = 10%
time = 1 year
solution
we get here difference in the total amount that is your friend money - your money .................1
so difference in the total amount = invest × 
- [ invest + ( invest × rate × time) ] ......................2
put here value
difference in the total amount = $1000 × 
- [$1000 + ( 1000 × 10% × 1) ]
difference in the total amount = 0
so correct answer is c. You both have the same amount of money
Answer:
At the growth rate of 3% per year
Number of years taken to double the GDP = 23.33 years
The the GDP will double ( 23.33 - 20 ) 3.33 years earlier at 3.5% growth rate
Explanation:
According to the rule of 70
Number of years taken to double the GDP = 70 ÷ [ Growth rate ]
Thus,
At the growth rate of 3% per year
Number of years taken to double the GDP = 70 ÷ 3
= 23.33 years
Further
if the growth rate is 3.5% per year
Number of years taken to double the GDP = 70 ÷ 3.5
= 20 years
Hence,
The the GDP will double ( 23.33 - 20 ) 3.33 years earlier at 3.5% growth rate
