Please solve with explanation 20 points
1 answer:
You might be interested in
Answer:
<h3>The possibilities of length and width of the rectangle are </h3><h3>x=1, y=0.24;</h3><h3>x=0.5, y=0.48;</h3><h3>x=0.25, y=0.96;</h3><h3>x=2, y=0.12</h3>Step-by-step explanation:
Given that the area is 0.24 square meter
The area of a rectangle is given by
square units
Let x be the length and y be the width.
Since the area is 0.24 square meter, we have the equation:
, with x and y measures in meters
If we want to know some possibilities of x and y, we can assume a value for one of them, and then calculate the other one using the equation.
Now choosing some values for "x", we have:
Put x = 1
∴ y = 0.24
Now put x = 0.5 we get
∴ y = 0.48
Put x = 0.25
∴ y = 0.96
Put x = 2
∴ y = 0.12
<u>Answer:</u>
Money earned by selling 175 magazine subscriptions will be 3176.25
<u>Solution: </u>
Given that you are planning to take a summer job selling magazine subscription.
For first subscription, magazine company will help you to pay $0.75
For each additional subscription sold, magazine company will pay you $0.20 more than what was paid for previous subscription.
So for second subscription, payments will be = 0.75 + 0.20 = 0.75 + 0.20 x 1
And for third subscription, payments will be = 0.75 + 0.20 = 0.75 + 0.20 x 2
Generalizing for nth subscription we get
Payments for nth subscription = 0.75 + 0.20(n-1)
so here we can see that arithmetic sequence is formed, having first term
and common difference = d = 0.20
We need to determine sum of above arithmetic sequence for n = 175
<u><em>Formula for sum of arithmetic sequence is as follows </em></u>
In our case n = 175, a = 0.75, d = 0.20
Hence money earn by selling 175 magazine subscriptions will be 3176.25