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3 years ago

mary can buy 12 oranges at store A for $3.84 and 15 oranges for $5.00 at store B.Which store has the better unit cost?

1 answer:

8 0

Store a is 3.125 per orange
store B is 3 Per orange
So store B has the better unit cost
you get the unit costs by dividing the amount by the prices.

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Water is pumped out of a holding tank at a rate of 6-6e^-0.13t liters/minute, where t is in minutes since the pump is started. I

astraxan [27]

Procedure:

1) Integrate the function, from t =0 to t = 60 minutues to obtain the number of liters pumped out in the entire interval, and

2) Substract the result from the initial content of the tank (1000 liters).

Hands on:

Integral of (6 - 6e^-0.13t) dt ]from t =0 to t = 60 min =

= 6t + 6 e^-0.13t / 0.13 = 6t + 46.1538 e^-0.13t ] from t =0 to t = 60 min =

6*60 + 46.1538 e^(-0.13*60) - 0 - 46.1538 = 360 + 0.01891 - 46.1538 = 313.865 liters

2) 1000 liters - 313.865 liters = 613.135 liters

Answer: 613.135 liters

3 0

3 years ago

If you have $100 and then lose $25 what is the percent change

katovenus [111]

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The lost percentage is 25%

The percentage remaining is 75%

Thanks
ThanksHope it helps

7 0

2 years ago

This is the law states that, in any process, energy is nethier created nor destroyed. It can only be converted from one form to

natulia [17]

Answer:

It is known as the Law of conservation of energy

7 0

3 years ago

Read 2 more answers

The Bridal Shop bought a dress from a supplier for $105 wholesale and applied a 65% markup to the price. If a 7.5% sales tax wer

Novay_Z [31]

Answer:

The correct answer is 149.00.

Step-by-step explanation:

Part = Percent • Whole

Adding a 65% markup to the original price of 105 is simply multiplying the price by the decimal form of the markup, then adding that to the original price. Next, you would find 20% of your sum by multiplying the sum by 0.20. Then you would find 7.5% of that and add this to the price.

Solve:

105 • 0.65 = 68.25 Find 65% of 105

105 + 68.25 = 173.25 Add the markup to the price

173.25 • 0.20 = 34.65 Find the discount of the new price

173.25 - 34.65 = 138.60 Subtract discount from price

138.60 • 0.075 = 10.395 Find sales tax of new price (Or round to 10.40)

138.60 + 10.395 = 148.995 Add sales tax to new price (Or 149)

Because money only goes to the hundredths place, we can either start rounding to that place in the second to last step - rounding 10.395 to 10.40 - or we can round our answer - 148.995 rounds to 149. Either way, we will still get an answer of $149.00.

Hope this helps.

♥A.W.E.S.W.A.N.♥

3 0

3 years ago

Read 2 more answers

Jacob leaves his summer cottage and drives home. After

krok68 [10]

Answer:

A linear relationship can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If this line passes through the points (a, b) and (c, d) then the slope can be written as:

a = (a - c)/(b - d)

Here y will represent the distance between Jacob and his house, and the variable x represents the time that he has ben driving.

In this case, we know that after driving for 5 hours, he is 112km from home.

Then we can write this point as (5h, 112km)

We also know that after 7 hours he is 15km from home.

Then we can write this point as (7h, 15km)

Then the slope of this function will be:

a = (15km - 112km)/(7h - 5h) = -48.5 km/h

Then the equation is:

y = -(48.5 km/h)*x + b

To find the value of b, we can replace the values of one of the points, for example in the point (7h, 15km)

This means that we need to replace x by 12h, and y by 15km, then we get:

15km = -( 48.5 km/h)*7h + b

15km + ( 48.5 km/h)*7h = b = 354.5 km

then the equation will be:

y = (-48.5 km/h)*x + 354.5 km

Now we want to answer: How long had Jacob been driving when he was 209 km from home?

Then we need to only replace y by 209km, and solve for x:

209km = (-48.5 km/h)*x + 354.5 km

209km - 354.5 km = (-48.5 km/h)*x

-145.5km = (-48.5 km/h)*x

-145.5km/( -48.5 km/h) = x = 3h

So he is 209km away from his home after driving for 3 hours.

6 0

3 years ago