The students at Midtown Middle school sold flowers as a fundraiser in September and October. In October, they charged $1.50 for each flower. The October price was a 20% increase of the September price. Part A: What was the price of the flowers in September? Part B: The seventh-grade class earned 40% of the selling price of each flower. In September, they sold 900 flowers. In October, they sold 700 flowers. Did they earn more money in September or October? How much more?

Answers

Answer 1

Answer: Let the price of flowers in September be x, then (100 + 20)/100 * x = $1.50
120/100 * x = $1.50
1.2x = $1.50
x = $1.50/1.2 = $1.25
The price of flowers in September is $1.25

Total money realised in September = $1.25 x 900 = $1,125
40% earned = 0.4 x $1,125 = $450

Total money realised in October = $1.50 x 700 = $1,050
40% earned = 0.4 x $1,050 = $420

The class earned more money in September and they earned $30 more than in October.

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13. The volume of a gas is inversely proportional to the pressure of the gas. If a balloon is filled with 210 cubic inches of a gas at a pressure of 14 pounds per square inch, find the new pressure of the gas if the volume is decreased to 70 cubic inches.

Answers

Answer:

4.67 pounds

Step-by-step explanation:

In order to find the answer we need to use the following formula:

V=k/P where:

V=volume

P=pressure of the gas

k= constant of proportionality

The above equation establishes that the volume is inversely proportional to the pressure of the gas.

Now, the problem gave us two situations, which are:

For a time 1, we have V1=210 cubic inches and P1=14 pounds, using the equation we have:

V1=k/P1

210 cubic inches=k*(14 pounds) which can be written as:

(210 cubic inches)/(14 pounds)=k

For time 2, we have V2=70 cubic inches and P2=P2 using the equation we have:

V2=k/P2

70 cubic inches=k*P2, using 'k-value' from above:

(70 cubic inches)=[(210 cubic inches)/(14 pounds)]*P2

(70 cubic inches)*(14 pounds)/(210 cubic inches)=P2

4.67 pounds = P2

-5(4x + 7) <25
Answer here

Answers

Answer:

X>-3

Step-by-step explanation:

Hope I helped

Do u want the steps ?

Answer: x > -3

Step-by-step explanation: -5(4x + 7) <25

-20x - 35 < 25

-20x -35 + 35 < 25 + 35

-20x/20 < 60/20

x > -3

WILL RATE BRAINLIEST PLZ HELP

Answers

Answer:

if your question is to find the vertical height of D, ans is 5

Step-by-step explanation:

James walked 11 miles in 4 hours. If he walkedthe same distance every hour, how many feet
did he walk in one hour?
A 14,520 ft
B 21,120 ft
C 29,040 ft
D 58,080 ft
Help?

Answers

Answer:

A. 14,520 ft

Step-by-step explanation:

To start off this problem, we need to find how many miles James walks per hour. To do that, lets divide 11 by 4.

$x=(11)/(4)$

$x=2.75$

Next, since 5,280 feet are in a mile, we need to multiply 2.75 by 5,280:

$x=2.75(5,280)$

$x=14,520$

James walked 14,520 ft. in one hour.

You have just received a windfall from an investment you made in a friend's business. He will be paying you $10,000 at the end of this year, $20,000 at the end of the following year, and $30,000 at the end of the year after that (three years from today). The interest rate is 3.5% per year. a.What is the present value of your windfall? b.What is the future value of your windfall in three years (on the date of the last payment)?

Answers

Answer:

a. $55,390.29

b. $61,412.20

Step-by-step explanation:

a. To find the present value of your windfall, each value must be brought back to the present year at a rate of 3.5% per year. The present value is:

$PV = (10,000)/(1.035)+(20,000)/(1.035^2)+(30,000)/(1.035^3)\nPV = \$55,390.29$

The present value of your windfall is $55,390.29.

b. To find the future value of your windfall at the date of the last payment, simply compound the preset value amount obtained on the previous item for three years at a rate of 3.5%:

$FV =55,390.29*(1.035)^3\nFV=\$61,412.20$

The future value of your windfall is $61,412.20.

Final answer:

The present value and future value of an investment are calculated using formulas that account for the interest rate and the period. The present value is calculated by dividing each year's payout by the increment of the interest rate for that year and summing these values. The future value in this scenario would be the sum of the payouts.

Explanation:

This question deals with the financial concepts of present value and future value in relation to an investment payout structure over time.

a. The present value is a measure of the current worth of a future sum of money given a specified rate of return. The formula to calculate present value is PV = CF / (1 + r)^n, where CF is cash flow, r is interest rate and n is the period. To calculate the present value of your windfall:

End of Year 1: PV = $10,000 / (1+0.035)^1
End of Year 2: PV = $20,000 / (1+0.035)^2
End of Year 3: PV = $30,000 / (1+0.035)^3

Add all these present values together to get the total present value.

b. The future value is how much an investment is worth at a certain time in the future. The formula to calculate future value is FV = CF * (1 + r)^n. But in this case since the last cash flow coincides with the period, the future value in three years would simply be the sum of all cash flows which is $60,000 ($10,000+$20,000+$30,000).