Answer:
Step-by-step explanation:
Alexa earns $33,000 in her first year of teaching and earns a 4% increase in each successive year. This means that for each year, her income is 104% of the previous year. So the rate of increase is 104/100 = 1.04. This rate is in geometric progression. The formula for the sum of n terms of a geometric sequence is expressed as
Sn = a(r^n - 1)/r-1
Where
Sn is the nth term
a is the first term
n is the number of terms.
r is the rate or common ratio
From the information given,
a = 33000
r = 1.04
The formula for Alexis total earning over n years will be
Sn = 33000(1.04^n - 1)/(1.04 - 1)
Her earnings for the next 15 years would be
S15 = 33000(1.04^15 - 1)/(1.04 - 1)
S15 = 33000(0.8009) / 0.04
S15 = $668167.50
I think you mean the value of 'm' not 'b' as there is no 'b' variable given in the equation.
Assuming you meant 'm' then,
5 - 10m = 3m
+ 10m + 10m
5 = 13m
/13 /13
0.384615385 = m
Answer:
Step-by-step explanation:
4x - (x + 3) +5(2x - 8) = 4x + x*(-1) + 3*(-1) + 2x * 5 + (-8) * 5
= 4x - x - 3 + 10x - 40 {combine like terms}
= 4x - x + 10x - 3 - 40
= 13x - 43
Answer:175.84 ft
Step-by-step explanation: the equation would be diameter times pi
Answer:
Step-by-step explanation:
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mikeyfauth
10/22/2020
Mathematics
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answered • expert verified
The perimeter of the triangle is 6a + 3 units. Write an expression in simplest form for the length of Side 3.
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The length of the third side is a-2.
Given that:
Perimeter of triangle: 6a + 3
Length of first side: 2(a+3)
Length of second side: 3a -1
Let the length of the third side of the triangle be x.
Then as perimeter of a triangle is sum of lengths of all 3 sides of the triangle, thus we have:
Thus we have length of the third side as a -2.