9514 1404 393
Answer:
3.67 years
Step-by-step explanation:
The amount is found using the compound interest formula.
A = P(1 +r/n)^(nt)
for principal P invested at annual rate r compounded n times per year for t years.
We can solve this for t:
A/P = (1 +r/n)^(nt) . . . . divide by P
log(A/P) = (nt)log(1 +r/n) . . . . take the logarithm
t = log(A/P)/(n·log(1 +r/n)) . . . . divide by the coefficient of t
Filling in the given values, we find ...
t = log(12000/10000)/(4·log(1 +0.05/4)) ≈ 3.6692
It will take about 3.67 years for the balance to reach $12,000.
It would be: y-y1 = m(x-x1)
y-8 = m(x+16)
y-8 = mx+16m
y = mx+16m+8
you have to calculate m, which can be possible if two coordinates are given otherwise it's the final possible answer...
Answer:
<h2>There are 664 diet soda</h2>
Step-by-step explanation:
Step one:
given data
total soda= 913
we are told that the ratio of diet sodas to regular sodas is 8:3
this means that for every 8 diet soda there is 3 regular soda
the total ratio is 8+3=11
Step two:
we are going to use part to all principle
let the diet soda be x
8/11=x/913
cross multiply
11x=913*8
divide both sides by 11
x=913*8/11
x=7304/11
x=664
There are 664 diet soda
Answer:
x^2 - 6x - 7
Step-by-step explanation:
Roots, 7 and -1
x = 7 is the same as x - 7 = 0
x = -1 is the same as x + 1 = 0
multiply (x-7) by (x + 1)
x(x -7) +1(x - 7)
x^2 -7x + x - 7
x^2 - 6x - 7
Number of medium cherry slices : 10
number of medium orange slices : 40
ratio of cherry to orange : 10/40 reduces to 1/4 or 1:4 or 1 to 4
