Everything was marked down 30%. The oringinal price of a manatee hat was $18. What was the clearence price

5) One restaurant charges $7 per person and $1 admission fee. A second compant Charges $5 per

Assoli18 [71]

The people will there need to be in order for the second company to be less expensive in 1st restaurant.

Always assume the unknowns are variables when attempting to find them, and then construct the equation using the parameters specified in the question.

Admission fee for 1st restaurant = $1

Charge for 1st restaurant per person = $7

Admission fee for 2nd restaurant = $15

The number of employees required for 2nd restaurant need to have in order to be less expensive = x

Total amount needed for 1st restaurant = $1 + $7 = $8

To make the 2nd restaurant less expensive =

As the total amount of 1st restaurant is $8 and the admission fee 2nd restaurant itself is $15 2nd restaurant is more expensive than the 1st one.

To learn more about Word problems related to arithmetic operation from the link:

brainly.com/question/24464054

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5 0

1 year ago

The population of a town grows at a rate proportional to the population present at time t. The initial population of 500 increas

Mazyrski [523]

Answer:

The population in 40 years will be 1220.

Step-by-step explanation:

The population of a town grows at a rate proportional to the population present at time t.

This means that:

$P(t) = P(0)e^{rt}$

In which P(t) is the population after t years, P(0) is the initial population and r is the growth rate.

The initial population of 500 increases by 25% in 10 years.

This means that $P(0) = 500, P(10) = 1.25*500 = 625$

We apply this to the equation and find t.

$P(t) = P(0)e^{rt}$

$625 = 500e^{10r}$

$e^{10r} = \frac{625}{500}$

$e^{10r} = 1.25$

Applying ln to both sides

$\ln{e^{10r}} = \ln{1.25}$

$10r = \ln{1.25}$

$r = \frac{\ln{1.25}}{10}$

$r = 0.0223$

So

$P(t) = 500e^{0.0223t}$

What will be the population in 40 years

This is P(40).

$P(t) = 500e^{0.0223t}$

$P(40) = 500e^{0.0223*40} = 1220$

The population in 40 years will be 1220.

7 0

3 years ago

A company that makes? hair-care products had 7000 people try a new shampoo. Of the 7000 ?people, 42 had a mild allergic reaction

hram777 [196]

Answer: Percent of people who had a mild allergic is 0.6%.

Step-by-step explanation:

Since we have given that

Total number of people try a new shampoo = 7000

Number of people had a mild allergic reaction = 42

We need to find the "Percentage of people had a mild allergic":

Percentage of people had a mild allergic is given by

$\frac{\text{ Total number of people who had a mild allergic}}{\text{ Total number of people}}\times 100\\\\=\frac{42}{7000}\times 100\\\\=\frac{42}{70}\\\\=0.6\%$