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Crazy boy [7]
3 years ago
15

The price of an item yesterday was

Mathematics
2 answers:
Elodia [21]3 years ago
8 0

Answer: 60%

Step-by-step explanation:

Hi, to answer this question we have to write an equation with the information given:

The price of an item yesterday multiplied by the increase is equal to today's price:

135 x = 216

x =216/135

X=1.6

The percent increase is 60%.

Because:

1.6 = 1+ 0.6 (where 1 is the original price and 0.6 is the increase in decimal form)

0.6 x 100 = 60%

kogti [31]3 years ago
4 0
So first subtract 216 from 135 this would give you $81. then divide 81 from 135 this will give you 0.6 time 100 which equals 60%. 

Equation = 216-135=$81
=81/135= 0.6 
0.6 times 100= 60%
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Given that 2^A×3^B×5^13=20^D×18^12, where A,B, and D are postive integers, compute A+B+D.
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Answer: 75

<u>Step-by-step explanation:</u>

    2^A3^B5^{13}=20^D18^{12}

⇒ 2^A3^B5^{13}=(2^2\cdot5^1)^D(2^1\cdot3^2)^{12}

⇒ 2^A3^B5^{13}=(2^{2D}\cdot5^D)(2^{12}\cdot3^{24})

⇒ 2^A3^B5^{13}=2^{2D+12}\cdot3^{24}\cdot5^D

Now compare the like bases:

2^A=2^{2D+12} ⇒ A = 2D + 12

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5^{13}=5^D ⇒ D = 13

Next, let's solve for A:

A = 2D + 12

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LAST STEP: Find the sum of A, B, and D

S = A + B + D

  = 38 + 24 + 13

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