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
Answer:
Google it, they should know.
Step-by-step explanation:
https://google.com
Answer:
As shown in picture,
volume of cone V = base area x height x (1/3) = pi x (4/2)^2 x 6 x (1/3) = 8 x pi
volume of cup V = base area x height = pi x (3/2)^2 x 3 = 6.75 x pi
(all the volumes are in cubic inches)
A - Incorrect
24 pack of cups: V = 24 x 6.75 x pi = 162 x pi
21 pack of cones: V = 21 x 8 x pi = 168 x pi
162 x pi < 168 x pi
B - Correct
12 pack of cups: V = 12 x 6.75 x pi = 254.5 > 250
C - Correct
14 pack of cones: V = 14 x 8 x pi =351.9 > 350
D - Correct
Volume of cylinder 8 tall, 6 wide: V = pi x (6/2)^2 x 8 = 72 x pi
12 pack of cups: V = 12 x 6.75 x pi = 80.4 x pi > 72 x pi
Hope this helps!
:)
It's a deal.
Tell us the ratio, and we'll get right to work on it.
