Answer:
9.5%
Step-by-step explanation:
Use the formula I = Prt
I is the interest (unknown), P is the principal (1000), rate is the percent (unknown), and t is time in years (9/12).
9 months is a fraction of a year. There are 12 months in a year, so our fraction is 9/12. You can reduce this fraction by dividing by 3. The fraction reduced is 3/4. You can also use the decimal which is .75.
First we need to solve how much interest we earned. 1071.25 is the balance, so we need to subtract the principal from the balance.
1071.25 - 1000 = 71.25
Plug the numbers in to the formula. We are solving for r.
71.25 = 1000(.75)r
71.25 = 750r
71.25/750 = 750r/750
r = 0.095
Convert the decimal to a percent by moving the decimal two places right.
0.095 = 9.5%
B 216 because if you multiply pi with the answer you get 678.58
Answer:
Step-by-step explanation:
perp. -8/3
y + 2 = -8/3(x - 8)
y + 2 = -8/3x + 64/3
y + 6/3 = -8/3x + 64/3
y = -8/3x + 58/3
y + 2 = -3/8(x - 8)
y + 2 = -3/8x + 3
y = -3/8x + 1
Hello! I can help you with this! For this problem in order to find the amount of months it will take for them to have the same amount of money, we can write and solve an equation.
1. Okay. Amira has $80, and saves $40 a month. Max has $40 and saves $50 a month We have the numbers, so we can write the equation. Set it up like this:
80 + 40x = 40 + 50x
We set it up like this, because each girl has some money, but they're saving more to add to the total. Let's start solving. Subtract 40x from both sides. 40x - 40x cancels out. 50x - 40x is 10x. That shortens to 80 = 40 + 10x. Subtract 40 to get both sides by themselves. 40 - 40 cancel out. 80 - 40 is 40. That simplifies to 40 = 10x. Now, divide each side by 10 to isolate the x. 10x/10 cancel out. 40/10 is 4. Let's test this out and see if it works. 40 * 4 is 160. 160 + 80 is 240. 50 * 4 is 200. 200 + 40 is 240. 240 = 240. There. x = 4. Amira and Sasha will have the same amount of money in 4 months.
