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Nataly_w [17]
4 years ago
13

The watch repairman needs to replace the battery on some watches he has 43 minutes before closing how many batteries can he repl

ace if each replacement takes 8 minutes and how many minutes will be left over
Mathematics
1 answer:
ICE Princess25 [194]4 years ago
7 0

Answer:

5 batteries with a leftover time of 3 minutes

Step-by-step explanation:

If it takes the watch repairman 8 minutes to replace a battery on the watches

In 43 minutes, he will be able to replace \frac{43}{8} batteries on the watches

\frac{43}{8} =5\dfrac{3}{8}

Therefore the watch repairman can replace 5 watch batteries.

He will have 3 minutes left over.

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Emma also wonders how long it will take her balance of $300 to reach $450, assuming she doesn't make any payments
Mama L [17]

Using an exponential equation, supposing a rate of 5%, it is found that it will take about 2.9 years for Emma's balance to reach $450.

An increasing exponential function is modeled by:

A(t) = A(0)(1+r)^t

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A(0) is the initial value.

r is the growth rate, as a decimal.

In this problem:

Her initial balance is of $300, hence . A(0)=300

The growth rate is of 15%, hence R =0.15

Then,

A(t) = A(0)(1+r)^t

A(t) = 300(1+0.15)^t\\A(t) = 300(1.5)^t\\

It will reach $450 after t years, for which A(t) = 450, hence:

A(t) =300(1.15)^t\\450= 300(1.15)^t\\1.15^t=\frac{450}{300}\\\\1.15^t =1.5\\log(1.15)^t=log1.5\\t log 1.15 = log 1.5\\t = \frac{log1.5}{log1.15}\\\\ t =2.9

It will take about 2.9 years for Emma's balance to reach $450

Learn more about logarithm here

brainly.com/question/247340

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