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Doss [256]
3 years ago
6

What percent was the server's tip if the customer left $1.75 for a $12.50 meal.

Mathematics
1 answer:
tatuchka [14]3 years ago
7 0
12.5x=1.75

Solve for x:
1.75/12.5 = 0.14

1. Use the equation 12.5x=1.75
2. Now solve for x. 
  a. Divide 1.75/12.5
  b. Now, you have .14
  c. .14 is 14%
3. The answer is 14%

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The price of a computer component is decreasing at a rate of 15​% per year. State whether this decrease is linear or exponential
Margaret [11]

Answer:

Since the price is given by an exponential function, the decline in price is exponential.

The component will cost $36.8475 in three years.

Step-by-step explanation:

The equation for the price of a component has the following format:

P(t) = P(0)(1-r)^{t}

In which P(t) is the price after t years, P(0) is the initial price, and r is the rate that the price decreases.

Since the price is given by an exponential function, the decline in price is exponential.

The price of a computer component is decreasing at a rate of 15​% per year.

This means that r = 0.15

Component costs ​$60 ​today

So P(0) = 60. Then

P(t) = P(0)(1-r)^{t}

P(t) = 60(1-0.15)^{t}

P(t) = 60(0.85)^{t}

What will it cost in three​ years?

This is P(3).

P(t) = 60(0.85)^{t}

P(3) = 60(0.85)^{3} = 36.8475

The component will cost $36.8475 in three years.

6 0
3 years ago
the sum of 2 numbers is 56.twice the smaller number exceeds one-half the larger number by 22.find the numbers
Alexxandr [17]

Answer:

the numbers are 18 and 38

Step-by-step explanation:

x =smaller integer and y =larger integer

6 0
2 years ago
Read 2 more answers
ANSWER PLEASE Tyler deposits $2000 and has a 8% interest compound quarterly. How much does he have Quarter 1,2,3,4 Show Work
guajiro [1.7K]

Answer:

If the time passed is only 3 months, then it is $2040

Step-by-step explanation:

We can use the quarterly compounded interest equation for this problem: P(1 + r/n)^nt

Step 1: Find out how much 3 months is in a year

<em>In this case, 3/12 which is 1/4</em>

Step 2: Plug in known variables into equation

2000[1 + (0.08)/4)]^[(4)(1/4)]

Step 3: Solve/Plug in calc

You will get $2040

If the time passed in the problem is 1 year, then we can be able to solve how much money he earned per quarter. However, since only 3 months have elapsed, then he has only earned $2040.

7 0
3 years ago
I need help on this question
raketka [301]
You got the right answers!
Horizontal and vertical

Congrats
7 0
3 years ago
Please help me, I've been stuck on this problem forever and I need help! Please don't answer with something random to get points
vodomira [7]
1. given
2. measure angle 1 plus measure angle 2 equals 90 degrees
3. B D bisects angle A D C
4. definition of angle bisector
5. definition of congruence
6. measure angle 1 is equal to measure angle 3
7. angle 1 is congruent to angle 3
7. definition of congruence
hope that helps
8 0
3 years ago
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