First let’s express the total number of marbles as such:
y(yellow marbles) + r(red marbles)=23; y+r=23
now let’s express the relation of yellow marbles to red marbles:
y=2r(2 times red marbles) - 4(4 less marbles); y=2r-4
since we figured out what y equals, we can plug into the first equation we created:
(2r-4)+r=23
now solve for r:
2r-4+r=23
combine like terms
3r-4=23
add 4 to both sides
3r=27
divide both side by 3
r=9
plug r back into first equation and solve for y:
y+9=23
subtract 9
y=14
there are 9 red marbles and 14 yellow marbles!
Since only the principal value, interest rate and interest period are given, we can deduce that "finance charge" only includes the interest to be paid at the end of the term. This can be obtained by subtracting the principal value from the future value which we will solve for.
The future value can be solved by using the following compound interest formula:
Let:
F = Future value
P = Principal value
r<span> = annual interest rate </span>
n<span> = number of times that interest is compounded per year</span>
t<span> = number of years</span>
F = P(1 + r/n)^nt
Substituting the given values:
F = 4250(1 + 0.1325/12)^(12*2)
F = 5531.54
Subtracting P from F:
Finance charge = 5531.54 - 4250 = 1281.54
Therefore the finance charge is $1,281.54
Answer:
4400
Step-by-step explanation:
134/67 = 2
1100(2)² = 4400
Answer:
There is an outliner in the data for the boys, but no the for the girls
Step-by-step explanation:
Answer:
were is the picture
Step-by-step explanation:
