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Masteriza [31]
4 years ago
10

What is the result when 78 is increased by 9.5%

Mathematics
2 answers:
blondinia [14]4 years ago
8 0
Shortcut 

Multiply 78 by 1.095  (the 1 in front will include the 78 since 78x1=78) and you won't have to add at all.
Try it with a calculator and you will get the same 85.41
densk [106]4 years ago
6 0
First you must find what 9.5 percent of 78 is. To do so, put 9.5 percent as a decimal (.095). Next, take this (.095) decimal and multiply it by 78 (this gives you 9.5 percent of 78). You will end up with the number 7.41. Since 78 is being increased by 9.5%, add 7.41 to 78 to get the final answer of 85.41. Therefore, when 78 is increased by 9.5%, you get 85.41 as a result.
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bonufazy [111]

Answer:

A(t) = 300 -260e^(-t/50)

Step-by-step explanation:

The rate of change of A(t) is ...

A'(t) = 6 -6/300·A(t)

Rewriting, we have ...

A'(t) +(1/50)A(t) = 6

This has solution ...

A(t) = p + qe^-(t/50)

We need to find the values of p and q. Using the differential equation, we ahve ...

A'(t) = -q/50e^-(t/50) = 6 - (p +qe^-(t/50))/50

0 = 6 -p/50

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From the initial condition, ...

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q = -260

So, the complete solution is ...

A(t) = 300 -260e^(-t/50)

___

The salt in the tank increases in exponentially decaying fashion from 40 grams to 300 grams with a time constant of 50 minutes.

6 0
3 years ago
Read 2 more answers
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