Mathematics, 28.11.2019 03:31 lexybellx3

B. after a 25% discount, the price of a t-shirt was $12. what was the price before
the discount?
c. compared to last year, the population of boom town has increased by 25%. the
population is now 6,600. what was the population last year?
**key takeaway:

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Answer from: mwilliams457

The price before the discount is $ 16

The population last year is 5280

Solution:

B) After a 25% discount, the price of a T-shirt was $12. What was the price before the discount?

Given that after a 25% discount, the price of a T-shirt was $12.

We have to find what was the price before the discount?

Now, we know that,

original price – discount = selling price

Original price – 25% of original price = $12

Let the original price be "a"

$\begin{array}{l}{\mathrm{a}-25 \% \text { of } \mathrm{a}=12} \\\\ {a-\frac{25}{100} \times a=12} \\\\ {a\left(1-\frac{25}{100}\right)=12} \\\\ {a\left(1-\frac{1}{4}\right)=12} \\\\ {a\left(1-\frac{1}{4}\right)=12} \\\\ {a\left(\frac{3}{4}\right)=12} \\\\ {a=12 \times \frac{4}{3}=16}\end{array}$

Thus the original price is $ 16

C) Compared to last year, the population of Boom Town has increased by 25%. The population is now 6,600. What was the population last year?

Last year population + 25% of last year population = present population.

$\begin{array}{l}{ \text { Last year population( }100 \%+25 \%)=6600} \\\\ {\text { Last year population } \times 125 \%=6600} \\\\ {\text { Last year population } \frac{125}{100}=6600} \\\\ {\text { Last year population }=6600 \times \frac{4}{5}} \\\\ {\text { Last year population }=660 \times 2 \times 4} \\\\ {\text { Last year population }=5280}\end{array}$

Thus the last year population is 5280

Answer from: Itselliekojo2218

After a 25% discount, the price of a T-shirt was $12 then the price before the discount is $16, and the population of Boom Town has increased by 25%. The population is now 6,600 so, the population last year is 5280 and this can be determined by using the unitary method.

Given:

After a 25% discount, the price of a T-shirt was $12.

By using the unitary method the price of the T-shirt before the discount can be determined.

Given that after a 25% discount, the price of a T-shirt was $12 so, the price of $12 is 75%. Therefore, the price of the T-shirt before the discount is:

$=\dfrac{12}{75}\times 100$

= $16

Given -

The population of Boom Town has increased by 25%.The population is now 6,600.

Given that the population is increased by 25% that means the population of 6600 is 125% of the population of last year. Therefore, the population of last year will be:

$=\dfrac{6600}{125}\times 100$

= 5280

The population of the last year is 5280.

For more information, refer to the link given below:

link

Answer from: Quest

in mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. there are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. the set of candidate solutions that satisfy all constraints is called the feasible set.

hoped i'm right lol

Answer from: Quest

the answer is a. q=6,r=6√2

step-by-step explanation:

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