First we will find the interest on:
P = $235 principal
t = 2 years
r = 0.1415 annual rate
A = future value
I = A - P the interest
A = P(1 + r)^t
A = 235(1 + 0.1415)^2
A = $306.21
I = A - P
I = $306.21 - $235
I = $71.21
the interest was $71.21.
Next lets find the lifetime cost value:
Lifetime cost value = 306.21 + 5*1.56*52 + 5*0.78*52 = $914.61 (considering that 1 year = 52 weeks)
Now lets find the percentage what percentage the interest is of the lifetime cost:
(71.21/914.61)*100 = 7.79%
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Answer:
the 4th graph.
Step-by-step explanation:
by solving for Y in the first equation, we get the y-intercept of -1 and the second equation has a y-intercept of 1. 4th graph is the only graph with those 2 intercepts
Answer: 920.3 ft
Step-by-step explanation:
Answer:
m∠3 = 105°
Step-by-step explanation:
Line 'l' is parallel to line 'm' and a transversal is intersecting these parallel lines at two distinct points.
m∠3 + m∠6 = 180° [Consecutive interior angles]
Since, ∠6 = 75° [Given]
m∠3 + 75° = 180°
m∠3 = 180 - 75
= 105°
Therefore, measure of ∠3 is 105°.
The horizontal distance is given by the formula:
tan θ=opposite/adjacent
where:
θ=21
opposite=2000 ft
adjacent=a
thus calculating for a we get:
tan 21=2000/a
thus
a=2000/tan 21
a=5210.18 ft
Answer: 5210.18 ft
