I'm guessing we have
S1 = 1000
S2 = 1000 + 500
S3 = 1000 + 500 + 250
S4 = 1000 + 500 + 250 + 125
S5 = 1000 + 500 + 250 + 125 + 62.5
Just adding that up, S5 is
Answer: 1937.5
Do they want you to use the geometric series formula? We'll check it that way.
We have first term a=1000 and common ratio r=1/2. In general
For us that's
S5 = (1000 (1 - (1/2)^5))/(1 - 1/2) = 2000(1 - 1/32)
= 2000(31)/32 = 62000/32 = 1937.5 √
Math works!
Here we will use the formula of compound interest which is as follows:
Where,
A=amount
P=principal
r=rate of interest
n=number of times interest is compounded in a year
t=time
We are given,
r=2% or 0.02
t= 5 years
n =4( compounded quarterly)
A= $300
Let us plug these in the formula to find Principal
Principal = $271.49
Answer: Mark earned $271.49 during odd jobs.
Answer:
Step-by-step explanation:
Calculus....finally something FUN to answer!
This is integration, but here you have the area under the curve, you just don't have the upper bound. Setting that problem up looks like this:
and using the First Fundamental Theorem of Calculus, that will integrate to look like this:
from 1 to b and applying the FTC:
Multiplying everything by 2 to get rid of the denominators gives you:
Answer:
22rs
Step-by-step explanation:
Hope this helps! :D