Solve for x: (5 points)

A store offers customers a 5$ gift certificate for every 75$ they spend. How much would a customer have to spend to earn a 35$ c

Inessa [10]

Answer:

$525

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

What is the slope of 2x + y = 5

vitfil [10]

2. the slope is 2 because

8 0

4 years ago

Read 2 more answers

Find the product of (p−10q)(p+10q)

Sonja [21]

Answer:

p²-100q²

Step-by-step explanation:

p(p+10q)-10q(p+10q)

p·p+p(10q)-10q(p+10q)

p·p+p(10q)-10qp-10q(10q)

p·p+10pq-10pq-10q(10q)

p·p+0-10q(10q)

p·p-10q(10q)

p²-100q²

6 0

3 years ago

You borrow $900 to buy a laptop. You plan to pay off the loan after 5 years of equal monthly payments. After 10 payments, you ha

matrenka [14]

Answer: The simple annual interest rate on my loan is 12%

Step-by-step explanation:

I planned to pay off the loan after 5 years of equal payments; There are 12 months that make up one year and the total number of months in five years = 12 × 5 = 60 months. This means that I planned to pay off the loan after 60 equal monthly payments.

If I have also made 10 of such monthly payments already and I have $1,200 left, it means that I now have 50 more months to clear the $1,200 that is left.

If I have $1,200 left to pay in 50 months, then my average payment per month is =

$1,200/50 = $24

Since I pay $24 monthly which includes part of the principal and the interest, then my total payment over the five years (60 months) will be = 24 × 60 = $1,440 (Principal+interest).

If the principal borrowed was $900, then the interest charged on the money over the 5 years = $1,440 - $900 = $540

With the interest known, we will now use the simple interest formula to find the simple annual interest rate on the loan.

Simple interest = (Principal×Rate×Time)/100

Where, S.I = $540

P = $900

T = 5years

R = ?%

540 = (900 × R × 5)/100

45R = 540

R = 540/45

R = 12%

Therefore, the simple annual interest rate on my loan is 12%

5 0

4 years ago

When investigating times required for drive-through service, the following results (in seconds) were obtained: Restaurant A 120

iris [78.8K]

Answer:

Step-by-step explanation:

Restaurant A data in ascending order : 67 68 72 89 96 97 120 124

Restaurant B data in ascending order : 49 56 76 78 95 98 115 126

<em>Restaurant A</em>

Mean = $\frac{67+68+72+89+96+97+120+124}{8}$ = 91.625
Median = Since there are even number of observations so,

= $\frac{4^{th}obs + 5^{th}obs }{2}$ = $\frac{89+96}{2}$ = 92.5

Mid range = $\frac{Highest Value-Lowest Value}{2}$ = $\frac{124-67}{2}$ = 28.5
Range = Highest value - Lowest value = 124 - 67 = 57
Variance = $\frac{\sum (X_i - \mu )^{2}}{N-1}$ ,where Xi are sample values and $\mu$ is mean

Solving above equation we get, variance = 493.982

Standard Deviation = $\sqrt{variance}$ = 22.226

<em>Restaurant B</em>

Mean = $\frac{49+56+76+78+95+98+115+126}{8}$ = 74.375

Median = Since there are even number of observations so,

= $\frac{4^{th}obs + 5^{th}obs }{2}$ = $\frac{78+95}{2}$ = 86.5

Mid Range = $\frac{Highest Value-Lowest Value}{2}$ = $\frac{126-49}{2}$ = 38.5

Range = Highest value - Lowest value = 126 - 49 = 77

Variance = $\frac{\sum (X_i - \mu )^{2}}{N-1}$ ,where Xi are sample values and $\mu$ is mean

= 727.982

Standard Deviation = $\sqrt{variance}$ = 26.981

Now comparing the results of two restaurants we conclude that:

Restaurant A on an average takes more time for drive-through service than Restaurant B.
Median time for Restaurant A is also more than Restaurant B.
Restaurant B has more variation in time taken for drive through service as the variance & standard deviation of Restaurant B is more than A.
There is more spread in the time data for Restaurant B as it has more range than A.

5 0

4 years ago