During the past half hour, a restaurant has had 23 orders for Pepsi and 15 orders for Mountain Dew. How many more orders have there been for Pepsi than for Mountain Dew?

Answers

Answer 1
Answer: Pepsi has 8 more orders than mountain dew 
Answer 2
Answer:

Answer: 8

Step-by-step explanation: 23 - 15 = 8


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How is (s-t)(s/t) equivalent to (s^2/t) -s

Answers

(s-t)\cdot(s)/(t)=s\cdot(s)/(t)-t\cdot (s)/(t)=(s^2)/(t)-s

Explanation:

For the expression (s-t)(s/t) we first use the distributive property:

We can write both s and t as fractions by using a denominator of 1:

\n=(s)/(1)* (s)/(t)-(t)/(1)* (s)/(t)

To multiply frations, we multiply straight across:

In the second fraction, st/t, the t will divide out, or cancel, since it is in both the numerator and denominator:

(s^2)/(t)-s

What number is 1,999,999 less than the smallest 10-digit number?

Answers

The smallest 10 digit number is 1000000000 
so 
1000000000-1999999
=998000001
 Number which is 1,999,999 less than smallest 10 digit number means that -
Smallest 10-digit number - 1,999,999
1,000,000,000 - 1999,999 = 998000001

Sam Seller offers credit at 19% interest per year. To the nearest tenth, APR =

Answers

Answer:

20.7%.

Step-by-step explanation:

We have been given that Sam Seller offers credit at 19% interest per year.

We will annual percent yield formula to solve our given problem.

APY=(1+(r)/(n))^n-1, where,

r = Interest rate in decimal form,

n = Number of times interest is compounded per year.

Let us convert our given interest rate in decimal form.

19\%=(19)/(100)=0.19

Upon substituting our given values in above formula we will get,

APY=(1+(0.19)/(12))^(12)-1

APY=(1+0.015833)^(12)-1

APY=(1.015833)^(12)-1

APY=1.207450998-1

APY=0.207450998

Let us convert APY in percentage by multiplying our answer by 100.

APY=0.207450998* 100

APY=20.7450998\%\approx 20.7\%

Therefore, the APY is 20.7%.

Answer:

\text{APR}=20.7\%              

Step-by-step explanation:

Given : Sam Seller offers credit at 19% interest per year.

To find : To the nearest tenth, APR ?

Solution :

The formula to calculate the annual percentage rate is given by

\text{APR}=(1+(r)/(n))^n-1

where, r is the interest rate i.e. r=19%=0.19

n is the number of time period for which interest is compounded per month i.e. n=12.

Substitute in the formula,

\text{APR}=(1+(0.19)/(12))^(12)-1

\text{APR}=(1+0.01583)^(12)-1

\text{APR}=(1.01583)^(12)-1

\text{APR}=1.2074-1

\text{APR}=0.2074

Into percentage,

\text{APR}=0.2074* 100

\text{APR}=20.74\%

To the nearest tenth,

\text{APR}=20.7\%

A new restaurant is having advertising flyers printed. The cost to design and lay out the flyer is $300. There is an additional cost of $0.12 per flyer printed. Identify the fixed cost and the variable cost of the partial variation.
(2 marks)

Fixed cost (b) = _________ Variable cost (m) = ___________

Write the equation representing this relationship in the form y=mx+b.
(1 mark)

c)Use your equation in (b) to determine the total cost of 300 flyers.
(2 marks)

Answers

Answer:

Fixed cost (b) = $300

Variable cost (m) = $0.12

y = 0.12(x) + 300

y = 0.12(300) + 300

y = 36 + 300

y = 336 flyers

Step-by-step explanation:

The endpoints of AB are A(4, 2) and B(1,-2). What are the coordinates of the midpoint of AB?

Answers

Answer:

Step-by-step explanation:

How do you find the midpoint of A and B?

To calculate it:

Add both "x" coordinates, divide by 2.

Add both "y" coordinates, divide by 2.

Final answer:

The coordinates of the midpoint of the line segment with endpoints A(4, 2) and B(1, -2) are found by averaging the corresponding x- and y-coordinates of the endpoints. This yields a midpoint of (2.5, 0)

Explanation:

The coordinates of the midpoint of the line segment with endpoints A(4, 2) and B(1, -2) can be determined by the midpoint formula. The midpoint formula states that the x-coordinate of the midpoint is the average of the x-coordinates of the two endpoints, and the y-coordinate of the midpoint is the average of the y-coordinates of the two endpoints.

Therefore, the x-coordinate of the midpoint is:

(x1 + x2) / 2 = (4 + 1) / 2 = 2.5

and the y-coordinate of the midpoint is:

(y1 + y2) / 2 = (2 + -2) / 2 = 0

Hence, the coordinates of the midpoint of AB are (2.5, 0).

Learn more about Midpoint Formula here:

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Someone please help??

Answers

4 is the correct answer as 4th root of 1296 is 6