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:
Let x = the width of the smaller rectangle.
The length of the smaller rectangle is 2x - 1.
Area is A = lw
So the area of the smaller rectangle is A = (x)(2x - 1) = 2x^2 - x
Step-by-step explanation:
hope it helped
Opposite interior angles are equal, so
4x - 10 = 2x + 20
2x - 10 = 20
2x = 30
x = 15
Answer:
68
Step-by-step explanation:
because 180-44=136
136:2=68 (since TRS=TSR, there is formula)
Answer:
0.0286 or 2.86%
Step-by-step explanation:
The total number of people that have werewolfism is 21,000.
Of those 21,000, 600 also have vampirism, while the remaining 20,400 do not. Therefore, the probability that someone has vampirism, given that they have werewolfism is:
The probability is 0.0286 or 2.86%.