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:
C. (8, 2)
Step-by-step explanation:
To find which point is not on the graph, find which set of coordinates makes the equation incorrect.
When plugged into the equation, the point (8, 2) makes it incorrect:
y = 10 + x
2 = 10 + 8
2 = 18
2 
18
The equation is incorrect because 2 is not equal to 18.
So, the point that is not on the graph is C. (8, 2)
Answer:
£80
Step-by-step explanation:
larger ratio is 15 and smaller ratio is 1
15 + 1 = 16
£5×16=£80
Rational because the answer was simplified already as 12÷4=3
The expressions of the number of radians can be expressed in the ways below.
<h3>How to write the expressions</h3>
The radius = 1.9 km
The angular speed = 3.1 radians per hour
a. The expression of t from the number of radians
θ = π/2 + 3.1t
<h3>b. Expression from the East</h3>
x = rcosθ
= 1.9cos(π/2 + 3.1t)km
<h3>c. Expression from the north of the center</h3>
= rsinθ
= 1.9sin((π/2 + 3.1t)km
Read more on angular speed here:
brainly.com/question/6860269
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