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djyliett [7]
3 years ago
9

* NOTICE THIS IS A 2 PART QUESTION

Mathematics
1 answer:
blondinia [14]3 years ago
6 0

Answer: you would have to purchase $1300 of merchandise and the total yearly amount paid to the warehouse for each plan is $1210

Step-by-step explanation:

Let x represent the number of dollars of merchandise that you would have to purchase in a year to pay the same amount under both plans.

Plan A offers an annual membership fee of $300 and you pay 70%, of the manufacturers reccomended list price. This means that the total cost of using plan A would be

300 + 0.7x

Plan B offers an annual membership fee of $40 and you pay 90% of the manufacturers reccomended list price.

This means that the total cost of using plan B would be

40 + 0.9x

For both plans to be the same,

300 + 0.7x = 40 + 0.9x

0.9x - 0.7x = 300 - 40

0.2x = 260

x = $1300

The total yearly amount paid to the warehouse for each plan would be

40 + 0.9 × 1300 = $1210

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The amount y (in grams) of the radioactive isotope fermium-253 remaining after t hours is y=a(0.5)t/72, where a is the initial a
almond37 [142]

Answer:

Per hour decay of the isotope is 0.96%.

Step-by-step explanation:

Amount of radioactive element remaining after t hours is represented by

y=a(0.5)^{\frac{t}{72}}

where a = initial amount

t = duration of decay (in hours)

Amount remaining after 1 hour will be,

y=a(0.5)^{\frac{1}{72} }

y = 0.9904a

So amount of decay in one hour = a - 0.9904a

                                                      = 0.0096a gms

Percentage decay every hour = \frac{\text{Amount of decay}}{\text{Initial amount}}\times 100

                                                  = \frac{0.0096a}{a}\times 100

                                                  = 0.958 %

                                                  ≈ 0.96 %

Therefore, per hour decay of the radioactive isotope is 0.96%.

7 0
3 years ago
The last time he checked, Matthew was 40 inches tall. Matthew just measured himself again and found out that he is 10% taller no
weqwewe [10]
44 inches.

All you have to do is find out what 10% of 40 is then add it back to 40. In the case of finding 10% of something you just “chop” of the back number (or move the decimal place forward) so 10% of 40 is 4. The. 40+4=44.

You can also multiply fractions to find the percent of a number but that is not necessary in this case.
8 0
3 years ago
2) How many sides does a regular polygon have if the interior angles each measure 156 degrees ?
spayn [35]

Answer:

B;  15 sides

Step-by-step explanation:

8 0
2 years ago
Write equivalent fractions for 1 2/3 and 1 7/8 using 24 as the common denominator 2 24 7 1 0​
NARA [144]

<u>Answer:</u>

<u />

2×8=16

7×3=21

2/3 + 7/8 = 16/24 + 21/24

7 0
2 years ago
One of the acute angles in a right triangle has a measure of 36.6°. What is the measure of the other acute angle?
Solnce55 [7]
Triangles equal 180 degrees total
It’s a right triangle so one of the angles is 90 degrees and we know another angle is 36.6
So 90+36.6= 126.6
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So I’m assuming the correct answer is C since that’s the closet number to 53.4
5 0
3 years ago
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