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san4es73 [151]
3 years ago
9

20 is 60% of what number

Mathematics
1 answer:
Oxana [17]3 years ago
3 0
33.33? im not sure, but you do a/b=p/100. p is the percent, a is the part of the whole number, b. so the equation would be 20/b=60/100. then you do cross multiplication (60b=2000) then you divide.
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guajiro [1.7K]

We have been given that a huge ice glacier in the Himalayas initially covered an area of 45 square kilo-meters. The relationship between A, the area of the glacier in square kilo-meters, and t, the number of years the glacier has been melting, is modeled by the equation A=45e^{-0.05t}.

To find the time it will take for the area of the glacier to decrease to 15 square kilo-meters, we will equate A=15 and solve for t as:

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Now we will switch sides:

e^{-0.05t}=\frac{1}{3}

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Using natural log property \text{ln}(a^b)=b\cdot \text{ln}(a), we will get:

-0.05t\cdot \text{ln}(e)=\text{ln}(\frac{1}{3})

-0.05t\cdot (1)=\text{ln}(\frac{1}{3})

-0.05t=\text{ln}(\frac{1}{3})

t=\frac{\text{ln}(\frac{1}{3})}{-0.05}

t=\frac{\text{ln}(\frac{1}{3})\cdot 100}{-0.05\cdot 100}

t=\frac{\text{ln}(\frac{1}{3})\cdot 100}{-5}

t=-\text{ln}(\frac{1}{3})\cdot 20

t=-(\text{ln}(1)-\text{ln}(3))\cdot 20

t=-(0-\text{ln}(3))\cdot 20

t=20\text{ln}(3)

Therefore, it will take 20\text{ln}(3) years for area of the glacier to decrease to 15 square kilo-meters.

6 0
3 years ago
To make 5 smoothies that have the same ratio of apple juice to orange juice as 1 smoothie does, how much apple juice and orange
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Answer:

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4 0
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BartSMP [9]

Answer:

$1200

Step-by-step explanation:

$4000 x .06 = $240 x 5 years = $1200

7 0
3 years ago
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