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Alik
7 days ago
11

A company that is selling computer tablets has determined that it regularly makes a net profit of $180 for each computer tablet

they sell. The company decides to start a rebate program in which they will give a $30 rebate VISA gift card for anyone that fills out the rebate forms. The actuary at the company predicts that only 18% of the people that purchase their tablets will successfully fill out the paper work and use the $30 rebate. What should the company expect their net profit per tablet sold to drop to after the rebate program? (The company will still earn $180 net profit for most customers)
Mathematics
1 answer:
PIT_PIT [11.9K]6 days ago
6 0

Response:

Based on the anticipated number of individuals completing the form to claim the refund, the company ought to foresee its net profit decreasing to:

  • $174.6 per computer tablet.

Detailed explanation:

Initially, the profit per tablet is $180, but after initiating the rebate program, it is expected that 18% of purchasers will fill out the forms and obtain the VISA card, which will lower the profit as demonstrated below:

  • Calculation of the reduced benefit for 18% of computer tablets = original benefit - refund amount.
  • Reduced benefit for 18% of tablets = $180 - $30 = $150

From here, we find that 18% of tablets will yield a benefit of $150, while the other 82% will maintain a benefit of $180. To ascertain an overall figure for the benefit, we must compute it as follows:

  • Total benefit = Percentage of reimbursed tablets * Benefit of reimbursed tablets + Percentage of non-reimbursed tablets * Benefit of non-reimbursed tablets.
  • Overall profit = 18% * 150 + 82% * 180
  • Overall profit = $174.6

Thus, after the $30 rebate on 18% of the tablets, the total benefit amounts to $174.6.

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Samir is an expert marksman. When he takes aim at a particular target on the shooting range, there is a 0.950.950, point, 95 pro
PIT_PIT [11932]

The question appears to be incomplete. Here’s the complete inquiry:

Samir is quite skilled with the gun. When he targets a specific aim at the shooting range, he has a 0.95 probability of striking it. On one occasion, Samir sets out to shoot 10 targets consecutively.

If he has the same chance of hitting each of the 10 targets, what is the likelihood that he will miss at least one?

Response:

40.13%

Step-by-step breakdown:

Let 'A' represent the event of successfully hitting all targets in 10 trials.

The complement of 'A' is \overline A=\textrm{Missing a target at least once}

Now, since Samir has a consistent probability of hitting each target at 0.95.

Now, P(A)=0.95^{10}=0.5987

We know that the combined probability of an event and its complement equals 1.

<pThus, P(A)+P(\overline A)=1\\\\P(\overline A)=1-P(A)\\\\P(\overline A)=1-0.5987\\\\P(\overline A)=0.4013=40.13\%

Consequently, the probability that he misses at least one target among 10 attempts is 40.13%.

6 0
1 month ago
Read 2 more answers
A customer buys a different book that has an original selling price of $38. The book is discounted 25%. The customer must pay a
PIT_PIT [11932]
$38.00 imes 0.25 = $9.50
$38.00 - $9.50 = $28.75
$28.75 imes 0.06 = $1.725
$28.75 + $1.73 = $30.48

5 0
20 days ago
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Julia can finish a 20-mile bike ride in 1.2 hours. Katie can finish the same bike ride in 1.6 hours. How much faster does Julia
Svet_ta [12294]

Given that,speed = \frac{distance}{time}

Julia completes a 20-mile bike ride in 1.2 hours.

The distance Julia covers is 20 miles and her time taken is 1.2 hours.

Therefore, Julia's speed = \frac{20}{1.2} = 16.67 mph


Katie finishes the same 20-mile ride in 1.6 hours.

Katie’s distance is 20 miles and her time is 1.6 hours.

Hence, Katie's speed = \frac{20}{1.6} = 12.5 mph


To determine how much faster Julia rides compared to Katie, subtract Katie’s speed from Julia’s speed.

Thus, 16.67 mph minus 12.5 mph equals 4.17 mph, approximately 4.2 mph.

Consequently, Julia cycles 4.2 mph faster than Katie.

5 0
1 month ago
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The sum of four consecutive odd numbers is 368 find the numbers​
lawyer [12118]

Answer:

The four odd numbers in sequence are 89, 90, 91, and 93.

Step-by-step explanation:

Designate the four consecutive numbers as x, x+2, x+4, and x+6.

Based on the information given in the question

x + (x + 2) + (x + 4) + (x + 6) = 368

4x + 12 = 368

4x = 356

x = 89

Consequently, the numbers are 89, 90, 91, and 93.

Hope this is helpful:)

7 0
1 month ago
During a sale, 20-cent candy bars were sold at 3 for 50 cents. How much is saved on 9 bars?
tester [11911]

Answer:

B. $0.30

Detailed explanation:

1 candy bar equals $0.20

3 candy bars equal $0.50

To find the solution, let's calculate for both options:

If you buy each candy bar separately, the cost is $0.20 each. For 9, it would be:

9 x 0.20 = $1.80

If you purchase 3 at a time, they are $0.50 each set. Dividing 9 by 3, then multiplying by 0.50 gives:

9/3 = 3

3 x 0.50 = $1.50

Now calculate the difference between the individual total and the pack total:

$1.80 - $1.50 = $0.30

B. $0.30 is your final answer.

~

8 0
19 days ago
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