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Sophie [7]
3 years ago
14

Look at the expression you entered in the table in part C. Write them backward as a sum, starting with the amount from month 12.

You should recognize a geometric series. Use the formula for the sum of a geometric series to determine the amount of money is Esther’s savings account at the end of 1 year after depositing $50 each month. How much money did she earn from interest.

Mathematics
2 answers:
marshall27 [118]3 years ago
8 0

Answer:

Per month Additions Interest Balance

Start $0.00   $0.00

1 $50.00 $0.15 $50.15

2 $50.00 $0.30 $100.45

3 $50.00 $0.45 $150.90

4 $50.00 $0.60 $201.50

5 $50.00 $0.75 $252.25

6 $50.00 $0.91 $303.16

7 $50.00 $1.06 $354.22

8 $50.00 $1.21 $405.43

9 $50.00 $1.37 $456.80

10 $50.00 $1.52 $508.32

11 $50.00 $1.67 $559.99

12 $50.00 $1.83 $611.82

atroni [7]3 years ago
4 0

Answer: =

Write the expressions backward from month 12 to month 1 to get this series:

50 + 50(1.003) + 50(1.003)2 + ... + 50(1.003)11

Convert the series to sigma notation, and find the sum of the 12 terms in the series:

11

S12 50(1.003)

ko

50(1 - 1.00312)

1 - 1.003

610

Esther will have about $610 in her savings account after a year. She would have deposited $600 over 12 months, so she

will have earned $10 in interest.

Step-by-step explanation:

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When ron cycles, his maximum speed is 20 km/h
Licemer1 [7]

The 7 m/s is greater when he is running and he will pay the least amount of money at shop 1.

<h3>What is the percentage?</h3>

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

We have:

When Ron cycles, his maximum speed is 20 km/h when Ron runs, his maximum is 7 m/s.

= 20 km/h = 20(1000)/(60×60) m/s

= 5.55 m/s

7 > 5.55

The greater is 7 m/s.

Shop 1

3.99 tube: buy 2 get 1 free

2 tube cost = 2×3.99 = 7.98

Each unit cost = 7.98/3 = 2.66

Shop 2

3.99 a tube with 20% off:

= 20% of 3.99

= (20×3.99)/100

= 0.798

The cost of 1 tube = 3.99 - 0.798 = 3.192

He will pay the least amount of money at shop 1

Thus, the 7 m/s is greater when he is running and he will pay the least amount of money at shop 1.

Learn more about the percentage here:

brainly.com/question/8011401

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