X < 6
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Answer:
6194.84
Step-by-step explanation:
Using the formula for calculating accumulated annuity amount
F = P × ([1 + I]^N - 1 )/I
Where P is the payment amount. I is equal to the interest (discount) rate and N number of duration
For 40 years,
X = 100[(1 + i)^40 + (1 + i)^36 + · · ·+ (1 + i)^4]
=[100 × (1+i)^4 × (1 - (1 + i)^40]/1 − (1 + i)^4
For 20 years,
Y = A(20) = 100[(1+i)^20+(1+i)^16+· · ·+(1+i)^4]
Using X = 5Y (5 times the accumulated amount in the account at the ned of 20 years) and using a difference of squares on the left side gives
1 + (1 + i)^20 = 5
so (1 + i)^20 = 4
so (1 + i)^4 = 4^0.2 = 1.319508
Hence X = [100 × (1 + i)^4 × (1 − (1 + i)^40)] / 1 − (1 + i)^4
= [100×1.3195×(1−4^2)] / 1−1.3195
X = 6194.84
Answer:
Factors are numbers you can multiply to get each number. For example, for 30 you would have factors of 1, 2, 3, 5, 6, 10, 15, and 30. I got that because 1 x 30 = 30, 2 x 15=30, 3 x 10 = 30, and 5 x 6= 30. If the factors are just 1 and that number it is prime. If there are other factors, it is composite. 30 would be composite.
Step-by-step explanation:
Answer:
5000 Australian Dollars
Step-by-step explanation:
To find out how many Australian dollars need to be sold, we first need to find the profit of a single dollar sold.
We will be using the formula for profit, which is:
Profit = Total Revenue - Total Cost
Now we define the available variables.
Total Revenue = 81.40
Total Cost = 80.20
Profit = 81.40 - 80.20
Profit = rs 1.20/dollar
Now we have to find how many dollars we have to sell to get a profit of rs 6000.
We simply divide the amount of profit that we want to the price per dollar.
Total Profit = 6000
Profit per dollar = 1.20
This give us:
6000 / 1.20 = 5000 Australian Dollars.
Answer: 5 y=5
x=3
Step-by-step explanation:
