8x-2y=24
-8x -8x
-2y=-8x+24
----- ---- ----
-2 -2 -2
y=4x-12
slope: 4
y-intercept: -12
Step-by-step explanation:
that is
sum(2^r) for r=1 to n, plus sum(1/2) for r=1 to n.
and that is
sum(2^r) + n/2 for r=1 to n.
2^r is a geometric sequence with 2 being the common ratio (every new term is created by multiplying the previous term by 2).
and since r is starting at 1, the first term a1 = 2.
the formula for the sum of a finite geometric sequence is
Sn = a1×(1 - r^n) / (1 - r)
with r being the common ratio .
so, in our case
Sn = 2×(1 - 2^n) / (1 - 2)
Sn = (2 - 2^(n+1)) / -1 = 2^(n+1) - 2
and so, in total we get
2^(n+1) - 2 + n/2 = 2^(n+1) + (n - 4)/2
Answer:
Step-by-step explanation:
we know that
The simple interest formula is equal to
where
I is the Final Interest Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have
substitute in the formula above
Remember that there are 16 cups in a gallon.
The pipe leaks 1.5 cups each day, so in one week, or 7 days, the cup leaks 1.5 times 7 cups, which equates to 10.5 cups per week.
To find this number in gallons, divide 10.5 by 16.
This equals .65625 gallons per week.
Hope this helps!
~Chrys
The answer is D. $270.00.
To find this answer, you divide 37.80 by 14%.
