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Andreyy89
2 years ago
5

ALGEBRA: Food Pantry sells its private label salad

Mathematics
1 answer:
CaHeK987 [17]2 years ago
5 0

Answer: 48oz = $1.68, 32oz = $0.80

Step-by-step explanation:

Let A be the price of the 48oz bottle and B the price for the 32oz bottle.

We are told that:

A = B + $0.88

------

The unit price is defined as the $ per oz.  

Let Au be the unit price for the 48oz size, and

Bu is the unit price for the 32oz size.

[This means that Au*(48) = A and Bu*(32) = B]

We are told that:

Bu + $0.01 = Au

=======

Find the cost of each.

A = B + $0.88

Au*(48) = Bu*(32) + $0.88

Substitute (Bu + $0.01) for Au

(Bu + $0.01)*(48) = Bu*(32) + $0.88

(48Bu + $0.48) = Bu*(32) + $0.88

16Bu + $0.48 =  $0.88

16Bu  =  $0.40

Bu = $0.025

The 32 oz bottle sells for $0.025/oz, or $0.80 a bottle

B = $0.80

Since A = B + $0.88

A =  $0.80 + $0.88

A = $1.68

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REY [17]

Answer:

C

Step-by-step explanation:

8 0
2 years ago
Paul is saving for a down payment to buy a house. The account earns 13% interest compound quarterly, and he wants to have $15,00
Tatiana [17]

Answer:

The principal must be = $8991.88

Step-by-step explanation:

Formula for compound interest is:

A = P(1 + \frac{r}{n})^{nt}

Where A is the amount after 't' years.

P is the principal amount

n is the number of times interest is compounded each year.

r is the rate of interest.

Here, we are given that:

Amount, A = $15000

Rate of interest = 13 % compounded quarterly i.e. 4 times every year

Number of times, interest is compounded each year, n = 4

Time, t = 4 years.

To find, Principal P = ?

Putting all the given values in the formula to find P.

15000 = P(1 + \frac{13}{400})^{4\times 4}\\\Rightarrow 15000 = P(1 + 0.0325)^{16}\\\Rightarrow 15000 = P(1.0325)^{16} \\\Rightarrow 15000 = P \times 1.66817253\\\Rightarrow P = \dfrac{15000}{1.66817253}\\\Rightarrow P \approx \$8991.88

So, <em>the principal must be = $8991.88</em>

4 0
2 years ago
A dinner table is a perfect circle with a diameter of 8 feet. With dinner plates that each a diameter of exactly 1 foot, how muc
Harlamova29_29 [7]

The area of the tablecloth showing is approximately 45.55 square feet

<h3>What is an area?</h3>

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called as the area of the circle.

It is given that:-

The diameter of the dinner table, D = 8 feet

The diameter of each plate, d = 1 feet

The number of people at the dinner table = 6 people

The number of plates = 6 plates

The area of the table cloth, A₁ = π·D²/4

∴ A₁ = π × 8²/4

The area covered by the 6 plates, A₂ = 6·π·d²/4

A₂ = 6 × π × 1²/4

Let 'A' represent the area of the tablecloth showing when the table is set for six people, we have;

A = A₁ - A₂

∴ A = π × 8²/4 - 6 × π × 1²/4 ≈ 45.55 ft.²

Therefore the area of the tablecloth showing when the table is set for six people, A ≈ 45.55 ft.²

To know more about an area follow

brainly.com/question/25292087

#SPJ1

8 0
1 year ago
Can someone help this is due tomorrow! My problem is.......Jackie's grandfather gave her $250 for her birthday. To make her mone
Harlamova29_29 [7]
So, this problem asks us to construct an equation that relates the amount of money left to the amount of weeks that has gone by. First, let's assign variables. Let y be the amount of money left, while x is the number of weeks she receives money. The equation would be:

<em>y = 250 - 10x</em>
7 0
3 years ago
Quadrilateral ABCD​ is inscribed in this circle.
Svetllana [295]

Answer:

132°

Step-by-step explanation:

Quadrilateral ABCD is inscribed in a circle,

So, it is a cyclic quadrilateral.

Opposite angles of a cyclic quadrilateral are supplementary.

\implies \: x \degree + (3x - 12) \degree = 180 \degree \\  \\ \implies \: (4x - 12) \degree = 180 \degree \\  \\  \implies \: 4x - 12  = 180  \\  \\ \implies \: 4x   = 180  + 12 \\  \\ \implies \: 4x   = 192 \\  \\ \implies \: x   =  \frac{192}{4}  \\  \\ \implies \: x   = 48\\\\

(3x-12)° = (3*48 - 12)° = (144 - 12)° = 132°

\implies \: m\angle B   = 132\degree\\\\

5 0
2 years ago
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