Round 3.721 to the nearest hundredths place

Jeanette purchased a concert ticket on a web site. The original price of the ticket was $75. She used a coupon code to receive a

DedPeter [7]

Answer:

Jeanette’s ticket was less than the original price by 12 percent

Step-by-step explanation:

1. Let's calculate the 20% discount price Jeanette received:

75 - 0.2 * 75 = 75 - 15 = $ 60

The discounted price is $ 60

2. Let's calculate the 10% service fee to the discounted price:

60 + 0.1 * 60 = 60 + 6 = $ 66

The price including the service fee is $ 66

3. Finally, let's calculate the less percentage than the original price:

Let's use the Direct Rule of Three, this way:

Price Percentage

75 100

66 x

**************************

75x = 66 * 100

75x = 6,600

x = 6,600/75

x = 88

Less percentage = 100 - 88 = 12%

Jeanette’s ticket was less than the original price by 12 percent

3 0

3 years ago

How can I fiure out markup from a price and a percent? (So if i have $1.50 and I need 20% more how do I do that)

Ede4ka [16]

1.50 + (1.50 * (20%)) = 1.8

7 0

3 years ago

A jumping spider's movement is modeled by a parabola. The spider makes a single jump from the origin and reaches a maximum heigh

aleksklad [387]

The spider's movement is an illustration of a parabola.

The equation of a parabola is: $\mathbf{y = -\frac{1}{160}(x - 40) + 10}$
The focus of a parabola is: (40,-30)
The axis of symmetry is: $\mathbf{x = 40}$
The directrix is: $\mathbf{y = 50}$

(a) The equation

The spider passes through the origin.

So, we have:

$\mathbf{(x,y) = (0,0)}$

The spider jumps to a maximum height of 10mm, midway 80mm.

So, the vertex is:

$\mathbf{(h,k) = (40,10)}$

The equation of a parabola is:

$\mathbf{y = a(x - h)^2 + k}$

So, we have:

$\mathbf{0 = a(0 - 40)^2 + 10}$

Subtract 10 from both sides

$\mathbf{a(0 - 40)^2 =- 10}$

$\mathbf{1600a =- 10}$

Solve for a

$\mathbf{a =- \frac{1}{160}}$

Substitute $\mathbf{a =- \frac{1}{160}}$ and $\mathbf{(h,k) = (40,10)}$ in $\mathbf{(h,k) = (40,10)}$

$\mathbf{y = -\frac{1}{160}(x - 40) + 10}$

(b) The focus, directrix and the axis of symmetry

The focus of a parabola is:

$\mathbf{Focus= (h, k + p)}$

Where:

$\mathbf{p = \frac{1}{4a}}$

So, we have:

$\mathbf{p = \frac{1}{4 \times -1/160}}$

$\mathbf{p = -\frac{160}{4}}$

$\mathbf{p = -40}$

So, we have:

$\mathbf{Focus = (40,10-40)}$

$\mathbf{Focus = (40,-30)}$

The axis of symmetry is:

$\mathbf{x = h}$

So, we have:

$\mathbf{x = 40}$

The directrix is:

$\mathbf{y = k - p}$

$\mathbf{y = 10 + 40}$

$\mathbf{y = 50}$

Read more about parabolas at:

brainly.com/question/25237745

4 0

3 years ago

Find the equation of the exponential function represented by the table below:

Allisa [31]

Answer:

y = 0.1(4^x)

Step-by-step explanation:

An exponential function can be written as ...

y = a(b^x)

where 'a' is the y-intercept, and 'b' is the ratio of terms with consecutive x-values.

The table tells us a=0.1, and b=0.4/0.1 = 4. The equation is ...

y = 0.1(4^x)

3 0

3 years ago

HELP ME PLEASE MARK BRAINLIEST

Tema [17]

Answer:

Carole's situation : 2x + 11y = 196

Michele's situation: 10x + 11y = 276

Step-by-step explanation:

If x = cost of 1 cupcake, then 2x = cost of 2 cupcakes and 10x = cost of 10 cupcakes, et.

If y = cost of 1 sugar cookie, then 11y = cost of 11 sugar cookies.

Carole's situation : 2x + 11y = 196

Michele's situation: 10x + 11y = 276

8 0

3 years ago