Three litres of milk cost r29,95 at shop a and two liters of milk cost r15,95 at shop

1 answer:

6 0

At first shop the 3 liters of milk cost 2995
cost per liter = cost / volume
cost per liter = 2995 / 3 L
cost per liter = 998 per liter of milk

at second shop the two liters of milk cost 1595
cost per liter = cost / volume
cost per liter = 1595 / 2 L
cost per liter = 797.5 per liter of milk

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Mr. Smith got a new puppy, Stout! He went out and bought a bag of puppy chow for $27.99, but had a 15% off coupon.

ANTONII [103]

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3 years ago

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There are 12 baseball trading cards in 4 packages. each package has the same number of cards. Write a rule in words for the numb

Tamiku [17]

Answer:

Rule in words:

The number of packages Justin needs to buy to get x cards is x divided by 3.

Rule as an algebraic expresssion:

$y=x/3$

Explanation:

This is a direct variation problem.

Since each package has the same number of cards, the number of cards is proportional to the number of packages.

12 baseball cards in 4 packages means that there are 12/4 = 3 cards per package, so:

The number of cards is 3 times the number of packages.

The number of packages is the number of cards divided by the number of 3.

So, the rule in words for the number of packages Justin needs to buy x cards is one third of x. This table may help you to visualize it:

Number of packages: 1 2 3 4 5

Number of cards: 3 6 9 12 15

To find the algebraic expression that describes the same rule, you can set the following proportion:

$\frac{12}{4} =\frac{x}{y}$

Where y is the number of packages and x is the number of cards.

And from that you solve for y:

$\frac{12}{4} =\frac{x}{y}\\ \\ 12y=4x\\ \\ y=4x/12\\ \\ y=x/3$

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4 years ago

Jack deposited $47,323.15 in an account earning 5% interest compounded annually.

Vera_Pavlovna [14]

Answer:

Jack's final bank account amount will be $54,782.50, earning $7,459.31 in interest.

General Formulas and Concepts:
Algebra I

Compounded Interest Rate Formula: $\displaystyle A = P \bigg( 1 + \frac{r}{n} \bigg) ^{nt}$

A is final amount
P is principle amount
r is rate
n is compounded rate
t is time

Step-by-step explanation:

Step 1: Define

Identify given variables.

P = $47,323.15

r = 0.05

n = 1

t = 3

Step 2: Find Interest

[Compounded Interest Rate Formula] Substitute in variables:
$\displaystyle A = 47323.15 \bigg( 1 + \frac{0.05}{1} \bigg) ^{1(3)}$
Evaluate:
$\displaystyle A = \boxed{54782.5}$