MATHEMATICS COLLEGE

Malory isn’t putting money in two savings accounts.Account A started with $150 and Account B started with $300.Malory deposits $16 in Account A and $12 in Account B each month.In how many months will Account A have a balance at least as great as Account B?What will that balance be?

Answers

Answer 1
Answer:

Given:

  • There are two savings accounts - account A has $150 and account B has $300 to begin with.
  • Malorie deposits $16 in account A and $12 in account B every month.

To Find:

The number of months where the balance of both is equal and the balance itself.

Solution:

In 37.5 months, the account balances in both accounts will be equal.

This balance will be equal to $750 in both account A and B.

Calculation:

Let x be the number of months where both the accounts have equal balance.

So, at the end of x months, 16x is the amount of money that will be added to account A (since $16 is added every month).

And the total amount at the end of x months will therefore be $(150+16x)

Similarly, at the end of x months, 12x is the amount of money that will be added to account B (since $12 will be added every month).

And the total amount at the end of x months will therefore be $(300+12x)

By our assumption, x is the number of months it will take for both the accont balances will be equal. Therefore, we have the equation

150+16x=300+12x\n4x=150\nx=37.5

Therefore, in 37.5 months, the account balances in both accounts will be equal.

This balance will be equal to 150+16(37.5)=750 i.e. $750 will be the balance in both account A and B.

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Answers

The no. of mold cells one hour from now will be 32x.

Given,

The number of mold cells doubles every 12 minutes.

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So, after 12minutes, the no of molds at,t_(12) =t+12  the no. of mold will be2x.

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Hence the no. of mold cells one hour from now will be 32x.

For more details follow the link:

brainly.com/question/11897796

Answer:

Step-by-step explanation:

Suppose that at time t_0 we have x mold cells. We are told that after 12 minutes the amount present is double. That is a t= t_0+12 we have 2x cells. Then, at t = t_0+24 we have (2x)*2 = 4x. We can continue as follows

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So after one hour from now we have 32x cells.

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Answers

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