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Blababa [14]
3 years ago
7

The time t required to do a job varies inversely with the number of people p who work on the job. If it takes 3 hours for 16 peo

ple to decorate the hall for homecoming, how many hours will it take 24 people to do the same job?
Mathematics
1 answer:
Anna71 [15]3 years ago
6 0
Let the hall be A=1. For 3 hours 16 people can decorate the hall. Then P1=A\(t1.number people1) P=1/48. That is for 1 person. You have 24 people to decorate the same hall. Their P2 will be (1/48).24=1/2. t2=A/P2=2 hours
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navik [9.2K]
Plug in n = 1 into the nth term formula
a(n) = 4n-1
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So the first term is 3

The second term will be 7 because we add on 4 each time, as indicated by the slope of 4. This is also known as the common difference.

So the nth term is found by adding 4 to the (n-1)st term, in other words,
a(n) = a(n-1)+4

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In summary, the answer is 
a1=3; an=an-1+4
which is choice B
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Set a different numbers that give a mean of 17.25
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5 0
3 years ago
A bank loaned out $21,500 , part of it at the rate of 11% annual interest, and the rest at 10% annual interest. The total intere
Luda [366]

Answer:

The loaned amount at 11 % is $ 19,000

The loaned amount at 10 % is $ 2,500

Step-by-step explanation:

Given as :

The total loan amount = $21,500

The total interest earn = $2,340.00

The rate of interest are 11 %  and 10 %

Let The loan amount at 11 % rate = $P

and The loan amount at 10 % rate = $21,500 - $P

Let The loan took for 1 year

Now,<u> From Simple Interest method </u>

Simple Interest = \dfrac{\textrm Principal\times \textrm Rate\times \textrm Time}{100}

SI_1 = \dfrac{P_1\times R_1\times \textrm Time}{100}

Or, SI_1 = \dfrac{P\times 11\times \textrm 1}{100}

Similarly

SI_2 = \dfrac{21,500 - P\times 10\times \textrm 1}{100}

∵  SI_1 +  SI_2 =  $2,340

Or, \dfrac{P\times 11\times \textrm 1}{100} + \dfrac{21,500 - P\times 10\times \textrm 1}{100} = $2,340

Or, 11 P - 10 P + 215000 = 234000

Or, P = 234000 - 215000

∴ P = $ 19,000

And $21,500 - $ 19,000 = $ 2,500

Hence The loaned amount at 11 % is $ 19,000

And     The loaned amount at 10 % is $ 2,500    Answer

8 0
3 years ago
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