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zepelin [54]
3 years ago
9

Part 1: Create a scenario for an arithmetic sequence. For example, Jasmine practices the piano for ______ minutes on Monday. Eve

ry day she ___________ her practice time by _________. If she continues this pattern, how many minutes will she practice on the 7th day? Be sure to fill in the blanks with the words that will create an arithmetic sequence. Use your scenario to write the function for the 7th term in your sequence using sequence notation. Part 2: Create a scenario for a geometric sequence. For example, Anthony goes to the gym for ______ minutes on Monday. Every day he _________his gym time by ____________. If he continues this pattern, how many minutes will he spend at the gym on the 5th day? Be sure to fill in the blanks with the words that will create a geometric sequence. Use your scenario to write the formula for the 5th term in your sequence using sequence notation. Part 3: Use your scenario from part 2 to write a question that will lead to using the geometric series formula. Use the formula to solve for Sn in your scenario.
Mathematics
1 answer:
Schach [20]3 years ago
3 0
Hello

<span>Part 1: Create a scenario for an arithmetic sequence. For example, Jasmine practices the piano for 10 minutes on Monday. Every day she </span>increases her practice time by 5 minutes. If she continues this pattern, how many minutes will she practice on the 7th day? Be sure to fill in the blanks with the words that will create an arithmetic sequence. Use your scenario to write the function for the 7th term in your sequence using sequence notation.              Part 2: Create a scenario for a geometric sequence. For example, Anthony goes to the gym for 20 minutes on Monday. Every day he multiplies his gym time by 10 %. If he continues this pattern, how many minutes will he spend at the gym on the 5th day? Be sure to fill in the blanks with the words that will create a geometric sequence. Use your scenario to write the formula for the 5th term in your sequence using sequence notation. Part 3: Use your scenario from part 2 to write a question that will lead to using the geometric series formula. Use the formula to solve for Sn in your scenario.
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Alex is x years old. June is 7 years older than Alex. In 5 years, their total combined age will be 31 years.
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Let Alex's age is x and June's age is y y - x = 7 .........(1)
(x+5) + (y+5) =31 
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2L + 2W = 88<br> L = W + 12<br> What are the dimensions?
liraira [26]

Answer:the length of the rectangle is 28

The width of the rectangle is 16

Step-by-step explanation:

The given equations are set up to determine the dimensions of a rectangle. L represents the length of the rectangle. W represents the width of the rectangle. Let us label

2L + 2W = 88 as equation 1.

We would substitute L = W + 12 into equation 1, it becomes

2(W + 12) + 2W = 88

2W + 24 + 2W = 88

4W + 24 = 88

4W = 88 - 24 = 64

W = 64/4 = 16

Substituting W = 16 into L = W + 12, it becomes

L = 16 + 12 = 28

8 0
4 years ago
9. Calista’s gross annual income is $39,036. She is paid monthly and has 6% deducted from her paychecks for her 403(b). If her e
Delicious77 [7]

Answer:

$203 approx

Explanation:

Gross Annual Income $39036.

Gross Monthly Income would be \frac{39036}{12}  i.e $3253 per month.

Out of this gross income, Calista deposits 6% i.e 6 % of $3253 = $195.18

The employer matches it with 4% of the above deduction i.e 4$ contributed for every 100 dollars of employee contribution.i.e 4% of $195.18

= $ 7.8072

Hence the Amount deposited in Calista's retirement plan each month would be: Employee's contribution + Employer's contribution

= $195.18 + $7.8072

= $ 202.9872  or $ 203 approx every month

3 0
3 years ago
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