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
If Jenny made $315.25 for 8 hours of work:
Then it means that she made:
$312.25/8 hours = $39.41 per hour.
If Jenny works for 40 hours, then she will make:
40 hours × $39.41 = $1,576.25
Please mark my answers as the Brainliest if you find my explanations/solution helpful :)
0.09
one tenth of 0.9 is 0.9 divided by 10, which means moving the decimal point one place to the left
= 0.09
The answer: 660
Explanation:
First you need to fine 1/5 of the students, which is 165, since 4/5 of them voted you multiply 165 by 4. Giving you the answer of 660 students voted.
Hope this helps :)
brainliest? Lol
Answer:
2= 4 1/6
Step-by-step explanation:
draw the diagram and extend BC to D
draw AD
use the Pythagorean Theorem with triangle ADC
call AD "h"
call DC "x"
h2+x2=102
now use the Pythagorean Theorem with triangle ADB
AD=h, AB=16, DB=(x+9)
h^2+(x+9)^2=16^2
from the first equation get h^2=10^2-x^2
from the second equation get h^2=16^2-(x+9)^2
set the two right sides equal to each other because they both equal h2
10^2-x^2=16^2-(x+9)^2
100-x^2=256-x^2-18x-81
cancel -x2 from both sides
100=256-18x-81
100=175-18x
100-175=-18x
-75=-18x
18x=75
x=75/18
x=4.1666... inches or 4 1/6 inches for the length of DC
