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butalik [34]
3 years ago
8

Lukas is running a lemonade stand on a hot summer day. He spent $14 for the materials and earns $1.50 for each cup of lemonade s

old. What is an equation that relates the number of cups of lemonade sold, c and the profit earned, P, and explain whether Lukas selling 19.5 cups is a viable solution.
Mathematics
1 answer:
defon3 years ago
6 0

The equation would be 1.50x - 14 = P

If lucas sells 19. cups then that means he will earn a total of 29.25$ but since he spent 14$ for the materials itself that concludes to the total being 15.25.This would be a viable solution because he is earning more money then  he is loosing.

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MAVERICK [17]
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6 0
3 years ago
Please help me out a soon as possible, thanks!
WITCHER [35]

Answer:

c

Step-by-step explanation:

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7 0
3 years ago
A new car is purchased for 23900 dollars. The value of the car depreciates at 9.75% per year. To the nearest year, how long will
inna [77]

Answer:

11 years

Step-by-step explanation:

we know that

The  formula to calculate the depreciated value  is equal to  

V=P(1-r)^{x}  

where  

V is the depreciated value  

P is the original value  

r is the rate of depreciation  in decimal  

x  is Number of Time Periods  

in this problem we have  

P=\$23,900\\r=9.75\%=0.0975\\x=?\\V=\$7,700

substitute in the formula

7,700=23,900(1-0.0975)^{x}  

(77/239)=(0.9025)^{x}  

Apply log both sides

log(77/239)=xlog(0.9025)  

x=log(77/239)/log(0.9025)  

x=11\ years

6 0
3 years ago
The ratio of the measures of the three angles in a triangle is 14:5:11. Find the value of x
Lilit [14]

Answer:

The three angles are 84º, 30º, and 66º. You multiply the ratio 14:5:11 by 6º.

Step-by-step explanation:

The sum of a triangle's interior angles is 180º. From the information we know:

  • 14xº+5xº+11xº=180º
  • Combine like terms, 30xº=180º
  • Divide, xº=6º

Now we can say that the three angles are 14(6)=84º, 5(6)=30º, 11(6)=66º.

4 0
3 years ago
Belkin Co. provides medical care and insurance benefits to its retirees. In the current year, Belkin agrees to contribute 5% of
PolarNik [594]

The amount of employee benefits expense for the current period is

$12,500

Step-by-step explanation:

Belkin Co. provides medical care and insurance benefits to its retirees.

In the current year, Belkin agrees to contribute 5% of the employees’

$250,000 gross salaries to a retirement program

We need to find the amount of employee benefits expense for the

current period

To solve the problem

  • Find the percentage of the benefits
  • Multiply the percentage of benefits by the gross salary
  • The answer is the amount of employee benefits expense for the current period

∵ The benefits for the current year is 5%

∵ These benefits for the gross salaries of $250,000

∴ The amount of benefits = 5% × 250,000

∵ 5% = \frac{5}{100} = 0.05

∴ The amount of benefits = 0.05 × 250,000

∴ The amount of benefits = $12,500

The amount of employee benefits expense for the current period is

$12,500

Learn more:

You can learn more about percentage in brainly.com/question/12284722

#LearnwithBrainly

5 0
3 years ago
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