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ch4aika [34]
3 years ago
7

Mike has a bank account whose balance is represented by A(t)=10,000*3.138^t. Where t is in years. Write the function so it refle

cts the monthly rate of interest . Around the nearest percent
Mathematics
1 answer:
andrew-mc [135]3 years ago
4 0

9514 1404 393

Answer:

  A(m) = 10000×1.10^m; 10% monthly interest

Step-by-step explanation:

If t is the time in years and m is the corresponding time in months, then we have ...

  m = 12t

  t = m/12

So, the balance is ...

  A(t) = 10000×3.138^t

  A(m) = 10000×3.138^(m/12) = 10000×(3.138^(1/12))^m

  A(m) = 10000×1.10^m

The monthly interest rate is 10%.

_____

The monthly growth factor 1.10 is 1 more than the monthly growth rate.

  growth rate = growth factor -1 = 1.10 -1 = 0.10 = 10%.

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5 0
3 years ago
The amount of water in a barrel decreases 9 5/8 pints in 7 weeks. The water decreases the same amount each week. What is the cha
siniylev [52]

Answer:

6 7/8 pints

Step-by-step explanation:

The amount of water in a barrel decreases 9 5/8 pints in 7 weeks. The water decreases the same amount each week. What is the change in the amount of water in pints in the barrel in 12 weeks?

From the question, we know that:

7 weeks = 9 5/8 pints

12 weeks = x

Cross Multiply

7x = 12 × 9 5/8

x = 12 × 9 5/8/7

x =( 12 × 77/8 ) ÷ 7

x = 12 × 77/8 × 1/7

x = 12 × 11/8

x = 16 1/2 pints

The change in the amount of water in pints in the barrel in 12 weeks is calculated as:

16 1/2 pints - 9 5/8 pints

Lowest common denominator = 8

7 + (4 - 5/8)

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8 0
3 years ago
Hucks bowling average over 5 games was 100. He scored 118 on the next game. What was his new average?
NikAS [45]
average=\frac{\ sum\ of\ numbers}{amount\ of\ numbers}\\\\
x-\ sum\ of\ point\ during\ 5\ games\\100=\frac{x}{5}\ \ |*5\\
500=x\\
new\ average=\frac{500+118}{6}=\frac{618}{6}=103\\\\
\textbf{His\ new\ average\ is\ 103.}
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Step-by-step explanation:

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There are 13 and a half/13.5 candy bars are on the plate.

Between what two whole numbers does the amount of candy bars shared lie?

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Hope it helps!!!!

8 0
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