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emmainna [20.7K]
4 years ago
15

The pizza shop offers a 15 percent discount for veterans and senior citizens. Which equation represents the discount price? Disc

ount Price – Original Price = 15% Discount Price = (Original Price)(1 – 0.15) Discount Price = (Original Price)(0.15) Discount Price = 1 – (Original Price)(0.15)
Mathematics
2 answers:
vlada-n [284]4 years ago
6 0

Answer:

Discount price = Original price × 0.15

Option 3 is correct.

Step-by-step explanation:

The pizza shop offers a 15 percent discount for veterans and senior citizens.

Let original price be O and discount price be D

Discount percentage = 15%

Discount price = Original price × 15%

now change % sign to decimal

So, 15% = 0.15

Discount price = Original price × 0.15

Hence, The correct expression is "Discount price = Original price × 0.15"

denil
2 years ago
your incorect
DochEvi [55]4 years ago
3 0

Answer:

Discount Price = (Original Price)(0.15)

Step-by-step explanation:

When you are eating at the pizza shop with your grandparents they will take off 15% of the price. This means you will times.

Discount Price = (Original Price)(0.15) is your answer.

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3 0
3 years ago
Use the form of the definition of the integral given in the theorem to evaluate the integral. ∫ 0 − 2 ( 7 x 2 + 7 x ) d x
Murrr4er [49]

Answer:

\int _{-2}^07x^2+7xdx=\frac{14}{3}

Step-by-step explanation:

The definite integral of a continuous function <em>f</em> over the interval [a,b] denoted by \int\limits^b_a {f(x)} \, dx, is the limit of a Riemann sum as the number of subdivisions approaches infinity. That is,

\int\limits^b_a {f(x)} \, dx=\lim_{n \to \infty} \sum_{i=1}^{n}\Delta x \cdot f(x_i)

where \Delta x = \frac{b-a}{n} and x_i=a+\Delta x\cdot i

To evaluate the integral

\int\limits^{0}_{-2} {7x^{2}+7x } \, dx

you must:

Find \Delta x

\Delta x = \frac{b-a}{n}=\frac{0+2}{n}=\frac{2}{n}

Find x_i

x_i=a+\Delta x\cdot i\\x_i=-2+\frac{2i}{n}

Therefore,

\lim_{n \to \infty}\frac{2}{n} \sum_{i=1}^{n} f(-2+\frac{2i}{n})

\int\limits^{0}_{-2} {7x^{2}+7x } \, dx=\lim_{n \to \infty}\frac{2}{n} \sum_{i=1}^{n} 7(-2+\frac{2i}{n})^{2} +7(-2+\frac{2i}{n})

\lim_{n \to \infty}\frac{2}{n} \sum_{i=1}^{n} 7(-2+\frac{2i}{n})^{2} +7(-2+\frac{2i}{n})\\\\\lim_{n \to \infty}\frac{2}{n} \sum_{i=1}^{n} 7[(-2+\frac{2i}{n})^{2} +(-2+\frac{2i}{n})]\\\\\lim_{n \to \infty}\frac{14}{n} \sum_{i=1}^{n} (-2+\frac{2i}{n})^{2} +(-2+\frac{2i}{n})\lim_{n \to \infty}\frac{14}{n} \sum_{i=1}^{n} (-2+\frac{2i}{n})^{2} +(-2+\frac{2i}{n})\\\\\lim_{n \to \infty}\frac{14}{n} \sum_{i=1}^{n} 4-\frac{8i}{n}+\frac{4i^2}{n^2} -2+\frac{2i}{n}\\\\\lim_{n \to \infty}\frac{14}{n} \sum_{i=1}^{n} \frac{4i^2}{n^2}-\frac{6i}{n}+2

\lim_{n \to \infty}\frac{14}{n} \sum_{i=1}^{n} \frac{4i^2}{n^2}-\frac{6i}{n}+2\\\\\lim_{n \to \infty}\frac{14}{n}[ \sum_{i=1}^{n} \frac{4i^2}{n^2}-\sum_{i=1}^{n}\frac{6i}{n}+\sum_{i=1}^{n}2]\\\\\lim_{n \to \infty}\frac{14}{n}[ \frac{4}{n^2}\sum_{i=1}^{n}i^2 -\frac{6}{n}\sum_{i=1}^{n}i+\sum_{i=1}^{n}2]

We can use the facts that

\sum_{i=1}^{n}i^2=\frac{n(n+1)(2n+1)}{6}

\sum_{i=1}^{n}i=\frac{n(n+1)}{2}

\lim_{n \to \infty}\frac{14}{n}[ \frac{4}{n^2}\cdot \frac{n(n+1)(2n+1)}{6}-\frac{6}{n}\cdot  \frac{n(n+1)}{2}+2n]\\\\\lim_{n \to \infty}\frac{14}{n}[-n+\frac{2\left(n+1\right)\left(2n+1\right)}{3n}-3]\\\\\lim_{n \to \infty}\frac{14\left(n^2-3n+2\right)}{3n^2}

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Thus,

\int _{-2}^07x^2+7xdx=\frac{14}{3}

5 0
4 years ago
Help please i dont understand i will give brainiest
Rudiy27

Answer:

B

Step-by-step explanation:

The volume of prism is (1/2)(5)(3/2)=15/4 or 3 3/4

Number of cubes is given by (the volume of prism)/(volume of half unit cube)=(15/4)/(1/8)=30

3 0
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Answer:

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Step-by-step explanation:

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