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olganol [36]
2 years ago
10

The owner of a small store buys coats for ​$55.00 each. Answer parts a and b. a. She sells the coats for ​$99.00 each. What perc

ent of the purchase price is the sale​ price? b. The owner increases the sale price by the same percent that you found in part a when she buys jackets for ​$45 and sells them. How many jackets must the owner buy for the total jacket sales to be at least ​$​390? Explain your answer.
Mathematics
1 answer:
scoundrel [369]2 years ago
3 0

Answer:

180% ; 5

Step-by-step explanation:

Purchase price per coat = 55

Sales price per coat = 99

% of purchase price is sales price :

X% * 55 = 99

(x / 100) * 55 = 99

0.01x * 55 = 99

0.55x = 99

x = 99 / 0.55

x = 180

180% of purchase price

B.)

180% * 45 = 81 per jacket

Number of jackets to sell to make atleast $390 in sales

$390 / $81 = 4.8

Hence, 5 jackets

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3 years ago
The town of madison has a population of 25,000. The population is increasing by a factor of 1.12 each year. Write a function tha
GaryK [48]
<h3>The population P(t) at the end of year t is   P(t)   = 25,000 \times (1.12)^t</h3>

Step-by-step explanation:

The initial population of town of Madison = 25,000

The rate at which the population is increasing = 1.12 times

So, the increase in population first year  :

( the initial population)  x (1.12)^1  = 1.12 x ( 25,000)  

= 28,000

So, the population at the end of first year = 28,000

Similarly, the increase in population second year  :

( the initial population)  x (1.12)²  =  ( 25,000)   x (1.12)²

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The population P(t) at the end of year t is

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3 years ago
Troy sold 28 bags of popcorn and 40 candy bars and made $282. Jake sold 17 bags of popcorn and 20 bags of candy and made $160.50
Ghella [55]
One bag of popcorn would cost $6.50

To solve this, we can set up equations:
28p+40c=$282
17p+20c=$160.50

To solve this system, we would need to make either the candy bars the same or the bags of popcorn the same. Since we are solving for bags of popcorn, we will make the candy bars the same:
20(28p+40c=$282)
40(17p+20c=$160.50)

Which would give you:
560p+800c=$5,640
680p+800c=$6,420

Subtract them:
 (680p+800c=$6,420)
-(560p+800c=$5,640)
_________________
120p=$780

Now divide by 120 to get the price of one bag of popcorn:
120p=$780
_________
       120

p=$6.50
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3 years ago
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