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3 years ago

A 32-ounce jar of a barbecue sauce costs $8.00, while an 8-ounce jar of the same

Mathematics

1 answer:

GrogVix [38]3 years ago

8 0

Answer:

Jennifer would save $0.25 per ounce.

Step-by-step explanation:

With the 32-ounce jar, the price per ounce is $0.25 per ounce. With the 8-ounce jar, the price is $0.50 per ounce. Jennifer would do better to buy the 32-ounce jar, as she would save $0.25 per ounce with that choice.

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A car was purchased for $39150.00 and is expected to be worth $10800.00 in 9 years. Determine the rate at which the van deprecia

ser-zykov [4K]

Answer:

The annual rate of depreciation of the car is 8.05% or 72.41/9

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Price of the purchase of the car = $ 39,150

Price after 9 years = $ 10,800

2. Determine the rate at which the van depreciates in value.

Let's calculate what is the percentage of depreciation after 9 years, this way:

Percentage of depreciation after 9 years = [1 - (Price after 9 years/Price of the purchase of the car)] * 100

Replacing with the values we know:

Percentage of depreciation after 9 years = [1 - (10,800/39,150)] * 100

Percentage of depreciation after 9 years = [1 - 0.2759] * 100

Percentage of depreciation after 9 years = 72.41%

Annual rate of depreciation = 72.41/9 = 8.05%

6 0

3 years ago

What are vertices of the conic 16x² - 25y² = 400 ?

garri49 [273]

Answer:

(-5, 0) and (5, 0)

Step-by-step explanation:

This equation fits the form for a hyperbola with x-intercepts. The standard form for such an equation is

$\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$

To get the equation in the question into this standard form, divide each term by 400.

$\frac{16x^2}{400}-\frac{25y^2}{400}=\frac{400}{400}\\\frac{x^2}{25}-\frac{y^2}{16}=1$

To find the x-intercepts, make y = 0.

$\frac{x^2}{25}=1\\x^2=25\\x=\pm 5$

The vertices are located at the points (-5, 0) and (5, 0).

Note: There are no y-intercepts; making x = 0 produces no real solutions for y.

5 0

3 years ago

Find missing variable and check: -3(x-6)+4(x+1)=7x-14

lana66690 [7]

We need to solve the equation to find x

$-3(x-6)+4(x+1)=7x-14$

We will simplify the left side by multiply each bracket by the number before it

-3(x - 6) = -3(x) + -3(-6) = -3x + 18

4(x + 1) = 4(x) + 4(1) = 4x + 4

Now put them on the left side

$-3x+18+4x+4=7x-14$

Add the like terms on the left side

$\begin{gathered} (-3x+4x)+(18+4)=7x-14 \\ x+22=7x-14 \end{gathered}$

Now we will collect x on the right side and the numbers on the left side

Subtract x from both sides

$\begin{gathered} x-x+22=7x-x-14 \\ 22=6x-14 \end{gathered}$

Add 14 to both sides

$\begin{gathered} 22+14=6x-14+14 \\ 36=6x \end{gathered}$

Divide both sides by 6 to find x

$\begin{gathered} \frac{36}{6}=\frac{6x}{6} \\ 6=x \end{gathered}$

The value of x is 6

3 0

1 year ago

Identify The degree of each monomial

vesna_86 [32]

If a polynomial has more than one variable, then thedegree of that monomial is the sum of the exponents of those variables. In this polynomial, 24xyz, thedegree is 3 because the sum of degrees of x, y and z is 1 + 1 + 1 = 3. hope this helps :)

6 0

3 years ago

K+3d=8c-8d solve for d

FromTheMoon [43]

Move k to the other side to isolate d.

So we will get 3d = 8c - 8d - k

Now divide both sides by 3 to isolate d.

So d = 8/3c - 8/3d - k/3

5 0

3 years ago