Step-by-step explanation:
you add 9% to a number by multiplying that number by 1.09.
because adding 9% gives us in the end 109% of the original amount.
anyway, the formula for quarterly compounded interest is
Cq = P [ (1+r)^(4*n) – 1 ]
P is the starting principal amount
r is the interest rate per quarter (= interest rate / 4)
n would be the number of years (= 1 in our case).
so, the interest after 1 year is
12500((1 + 0.09/4)⁴ - 1) = 12500(1.0225⁴ - 1) =
= 12500 × 0.093083319 = $1,163.541485 ≈ $1,163.54
The circumference would be 53.38 because the formula on finding the circumference is pi times the diameter.
Answer:
26 candy bars and 12 sodas
Step-by-step explanation:
This problem can be solved by a simple system of equations
I am going to call x the number of candy bars that Sally bought and y the number of sodas that Sally bought.
The fact that she bought 38 itens means the x + y = 38.
She spent $50.38. The value she spent is the sum of the number of candy bars multplied by the value of the candy bar and the number of sodas multiplied by value of a soda. So 1.25x + 1.49y = 50.38
So we have to solve the following system:
1)x + y = 38
2)1.25x + 1.49y = 50.38
From 1), we have that x = 38 - y. I am going to replace it in 2)
1.25(38-y) + 1.49y = 50.38
-1.25y + 1.49y = 50.38 - 47.5
0.24y = 2.88
y = 12.
Sally bought 12 sodas.
In 1: x = 38-y = 38-12 = 26
Sally bourght 26 candy bars
Answer:
8,613
Step-by-step explanation:
20’ / 5’ = 4
4 x 10” = 40”
40’ /5’ = 8
8 x 10” = 80”
Scaled dimension: 40” x 80”
