Answer:
The first term of the sequence is -120.
Step-by-step explanation:
The formula for the "nth" term of a geometric sequence is shown below:
an = a0*r^(n-1)
Where an is the nth term, r is the ratio and n is the position of the term on the sequence. For this problem we want to find what is the initial term, a0, so we will isolate it in the formula as shown below:
a0*r^(n-1) = an
a0 = an/[r^(n-1)]
We then apply the data given to us
a0 = 31.45728/[-0.8^(7-1)]
a0 = 31.45728/[-0.8^6] =31.45728 /-0.262144= -120
The first term of the sequence is -120.
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Answer:
$131422
Step-by-step explanation:
Given :
Amount owed = $124,850
Commison on sale = 5%
Let :
Sale price of bulldozer = x
Sale price = amount owed + 5% of sale price
x = 124850 + 0.05*x
x = 124850 + 0.05x
x - 0.05x = 124850
0.95x = 124850
x = 124850 / 0.95
x = 131421.05263
To the nearest dollar = $131422
So the answer is A.......
Answer:
-20 x^6
Step-by-step explanation:
(4x)(-x^2)(5x^3)
Multiply the numbers
4*-1 *5 = -20
Add the exponents
x^1 * x^2 * x^3
x^(1+2+3)
x^6
Multiply back together
-20 x^6