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3 years ago

Calculate the original price of these items before the

Mathematics

2 answers:

Aloiza [94]3 years ago

7 0

Answer:

50 and 30.94

Step-by-step explanation:

The coat cost 46.5 pounds after a 7 percent reduction

so we can write:

46.5⇒ (100-7)⇒ 93 percent
x(the initial price) ⇒ 100 percent

using the proprtionality relation:

x= (100*46.5)/93 = 50

so the initial price of the coat is 50 pounds

The jumper costs 32.8 pounds after an increase of 6 percent

so:

32.8⇒(100+6)⇒ 106 percent
x (the initial price)⇒ 100 percent

using proportionality:

x= (100*32.8)/106 = 30.94

the initial price is 30.94 pounds

quester [9]3 years ago

4 0

Answer:

a. £50

b. £30.94

Step-by-step explanation:

100-7=93

x×93/100=46.50

x×93=46.50×100=4650

x=4650/93=50 £

100+6=106

y×106/100=32.80

y×100=32.80×100=3280

y=3280/106≈30.94£

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2 years ago

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3 years ago

A substance with a half life is decaying exponentially. If there are initially 12grams of the substance and after 70 minutes the

dybincka [34]

Answer:

Step-by-step explanation:

Use the half life formula

$N=N_0e^{kt}$ where N is the amount after decay, No is the initial amount, e is Euler's number, k is the decay constant, and t is the time in minutes. For us, the first equation looks like this:

$7=12e^{k(70)}$ and we will solve that for k and then use that value of k in the second equation to find time.

Begin by dividing 7 by 12 to get

$\frac{7}{12}=e^{k(70)}$ Now take the natural log of both sides since the natural log and that e are inverses. The e then disappears:

$ln(\frac{7}{12})=k(70)$

Plug the left side into your calculator and then set it equal to the right side, giving us:

$-.5389965007=70k$

Divide both sides by 70 to get the k value of

k = -.00769995

Now the second equation looks like this:

$2=12e^{(-.00769995)t$ where t is our only unknown now that we know k.

Begin by dividing both sides by 12 to get

$\frac{1}{6}=e^{-.00769995t$ and take the natural log of both sides again to eliminate the e:

$ln(\frac{1}{6})=-.00769995t$

Take care of the left side on your calculator to get

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3 years ago

Which of the following is the proper name for the figure below?<br> 7<br> Y<br> X

VMariaS [17]

Answer:

Step-by-step explanation:

When you look at the triangle look at the 3 vertices. Now look at you answers given and choose one that combines all 3 vertices. You don't want your answer to contain a letter/number that represents the length of a side.

So in this case you don't want M or Y in you answer.

Your answer has to be made up of A X andT.

The only answer that uses AXT is answer B.

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3 years ago

You take a 200 milligram dosage of aspirin. During each subsequent hour, the amount of medication in your bloodstream decreases

shepuryov [24]

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Step-by-step explanation:

If the amount is decreasing by r%, then the final amount is given by :-

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