Explanation:
i=interest rate
X=current rate
2X = double current rate
n = number of years
Calculate time it takes to double at 3%:
2X = X(1+i)^n
simplify by cancelling out X
(1+i)^n = 2
substitute i = 3%
(1.03)^n =2
take log
n*log(1.03) = log(2)
n = log(2)/log(1.03) = 0.6931/0.02956 = 23.45 years
Similarly, for growth rate of 7%,
n = log(2)/log(1.07) = 0.6931 / 0.06766 = 10.24 years
So the difference is 23.45-10.24 = 13.21 years (to the hundredth) sooner
Answer:
Investment in fund b = $15,000
Explanation:
Let us assume funds invested in fund b = x while the sum total of funds invested in fund a & b = Y .ie Y = $6000 + x
Fund A returned $6000 * 3/100 = $180
Fund B returned = x & 10/100 = x/10
8%y(total returns) = funds a returns + fund b returns
8%y = $180 + (x/10)
let is replace y with 6000 + x
(6000 +x) * 8% = 180 + (x/10)
480+ 8x/100 = 180 + (x/10)
480 - 180 = (x/10) - (8x/100)
300 = (10x - 8x )/100
300 = 2x/100
300*100 = 2x
30,000 = 2x
x = 15, 000
Answer: increased by $20 billion
Explanation:
Real GDP is year of interest is:
= (Nominal GDP in year of interest/ GDP Price index in year of interest) * 100
= 480/120 * 100
= $400 billion
Nominal GDP is equal to Real GDP in base year so increase in real GDP is:
= 400 - 380
= $20 billion
Answer:
The present worth of the cost savings if the company uses an interest rate of 15% per year on such investments is $442108.5079.
Explanation:
Present Worth = $100,000/(1 + 15%) + $100,000/(1 + 15%)^2 + $100,000/(1 + 15%)^3 + $200,000/(1 + 15%)^4 + $200,000/(1 + 15%)^5
= $442108.5079
Therefore, the present worth of the cost savings if the company uses an interest rate of 15% per year on such investments is $442108.5079.
People who enjoy working with their hands might enjoy a career as a
chef. The correct answer is D. Chefs are cooks, as you are well-aware,
which means that they use their hands to prepare food. They are
constantly using their hands while chopping vegetables, cooking,
preparing dishes, so people who love using their hands as their most
important tool should consider getting a job as a chef.
