ab
= ----------
3(a-b)
this is your answer
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Answer:
63g extra
Step-by-step explanation:
420 x 0.15 =63 g
The 8th term of the geometric sequence is 13122x^22
<h3>Explicit form of a geometric sequence</h3>
The explicit form of a geometric sequence is expressed according to the equation;
Tn = ar^n-1
where
r is the common ratio
a is the first term
n is the number of terms
Given the sequence below;
6x,18x^4,54x^7
r = 18x^4/6x
r = 3x^3
a = 6x
n = 8
Substitute to have:
T8 = 6x(3x^3)^8-1
T8 = 6x (3x^3)^7
T8 = 13122x^22
Hence the 8th term of the geometric sequence is 13122x^22
Learn more on geometric sequence here: brainly.com/question/24643676
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Answer:
A. $2,000
Step-by-step explanation:
<em>Assuming that the money in the savings account will be used to pay off for tractor.</em>
<em>let the number of months be m</em>
Savings after m months will be 500+ 150m
After m months the installments paid will 200m
To find the months it will take to pay for the tractor in m months, savings and the installments will be the price of the tractor. As an equation it be represented as below:
500+150m +200m = 4000
150m + 200m = 4000-500 <em>(grouping like terms)</em>
350m = 3500 <em>(Making m the subject of the formula)</em>
350m/350 = 3500/350
m = 10
Substituting m into the equation of saving after m months
<em>Savings after m months will be</em> 500+ 150m
<em>Savings after m months will be</em> 500 + 150(10)
<em>Savings after m months will be</em> 500 + 1500
Savings after m months will be $2000
Answer:
The crop yield decreased by 0.09 pounds per acre from year 1 to year 10
Step-by-step explanation:
The function that models the crops in pounds per acre over x years is
In year 1, the crop yield is 
In year 10, the crop yield is 
The average rate of change from year 1 to year 10 is given by:
We substitute the values to get:
Since the average rate of change is positive, the crop yield decreased by 0.09 pounds per acre from year 1 to year 10.
