Express the following rational number as decimals 615/125
1 answer:
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Answer:
According to the given data we have:
i = 0.092
167.5 = 10a5] at .092 + v^5{10[(1+k)/1.092].....for infinity}
After the 10a5] at .092 component gone from the problem, we have:
128.804 = 10[(1+k) +
v + (1+k)
.....for infinity}
You can turn this into a geometric progression by pulling out
10 * [(1+k)/1.092]...then your left with 1 + (1+k)/1.092 + (1+k)^2/1.092^2....for infinity.
Since the problem says k < .092.. you know that (1+k)/1.092 is eventually going to converge to 0.
Therefore, you'll have 1/(1-(1+k)/1.092) as your geometric sum.
That geometric sum * (10*v^6*(1+K)) then has to equal your constant, 128.804.
After dividing 128.804 by 10*v^6 you get 21.84.
21.84 = (1+k)*[1/(1-(1+k)/1.092)
Solving for (1+k), you get 1.04 so k = .04 or 4%
Answer:
12a. (-6, -6)
12b. 17
13a. y = x +
13b. 2
Step-by-step explanation:
12a. Using the midpoint formula:
=
= (-6, -6)
12b. Using the Distance formula:
d = =
=
=
= 12 or 17
13a. x + 2y = 3
2y = 3 - x
y = x +
13b. The perpendicular slope is 2
Answer:
y = 2x - 5
Step-by-step explanation:
Slope intercept form: y = mx + c
3y - 6x = -15
3y = 6x - 15