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viva [34]
3 years ago
8

You have several purchases you need to make from the grocery store. from the grocery store you need to purchase 1/2 lb of cheese

, 2lbs sliced ham, 2 laoves od bread, 3 bags of potato chips, and 2 comtainers of salsa. you have a coupon for $3.00 off if your purchase totals more than $25.00 or 10% off if the toral is more than $30. the sales tax is 4%. what is your total purchase?
Mathematics
1 answer:
MArishka [77]3 years ago
3 0

The subtotal before tax and coupons is

... (2.99/lb × 1/2 lb) + (4.29/lb × 2 lb) + (2 loaves × 2.49/loaf) + (3 bags × 3.00/(2 bags)) + (2 salsa × 3.39/salsa) = 1.50 +8.58 +4.98 +4.50 +6.78

... = 26.34

This total is more than 25.00, but less than 30.00, so you get 3.00 off. The amount before tax is

... 26.34 - 3.00 = 23.34

4% tax is 0.04 × 23.34 = 0.93

so the total purchase comes to

... $23.34 + 0.93 = $24.27

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A cylindrical tank with radius 3 m is being filled with water at a rate of 4 m3/min. How fast is the height of the water increas
Fittoniya [83]

Height of the water increasing is at rate of  #(dh)/(dt)=3/(25 pi)m/(min)#

<h3>How to solve?</h3>

With related rates, we need a function to relate the 2 variables, in this case it is clearly volume and height. The formula is:

#V=pi r^2 h#

There is radius in the formula, but in this problem, radius is constant so it is not a variable. We can substitute the value in:

#V=pi (5m)^2 h#

Since the rate in this problem is time related, we need to implicitly differentiate wrt (with respect to) time:

#(dV)/(dt)=(25 m^2) pi (dh)/(dt)#

In the problem, we are given #3(m^3)/min# which is #(dV)/(dt)#.

So we need to substitute this in:

#(dh)/(dt)=(3m^3)/(min (25m^2) pi)=3/(25 pi)m/(min)#

Hence,  Height of the water increasing is at rate of  #(dh)/(dt)=3/(25 pi)m/(min)#

<h3>Formula used: </h3>

#V=pi r^2 h#

To Learn more visit:

brainly.com/question/4313883

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4 0
2 years ago
Read 2 more answers
Enoch is two times as old as MARTIN.three years ago,the difference between their ages was fifteen years.find their present ages
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Answer:

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Step-by-step explanation:

The difference in ages remains the same over time. Enoch, at twice Martin's age, is still 15 years older. That means Martin is 15 and Enoch is 30.

5 0
3 years ago
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