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natali 33 [55]
2 years ago
13

If you save three pennies on January 1, six pennies on January 2, nine pennies on January 3, and continue this pattern for one y

ear (not a leap year), what will be the value of your entire savings, in dollars, at the end of that one year? Express your answer as a decimal.
Mathematics
1 answer:
lbvjy [14]2 years ago
5 0
This is an arithmetic series with first term a1 = 3 and common difference = 3

Sum after 365 days  = (365/2)[ 2*3 + (365-1)*3]

=  200,385 pennies  = $2003.85 Answer



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Step 1: Find the prime factorization of the number inside the radical. Start by dividing the number by the first prime number 2 and continue dividing by 2 until you get a decimal or remainder. Then divide by 3, 5, 7, etc. until the only numbers left are prime numbers. Also factor any variables inside the radical.

Step 2: Determine the index of the radical. The index tells you how many of a kind you need to put together to be able to move that number or variable from inside the radical to outside the radical. For example, if the index is 2 (a square root), then you need two of a kind to move from inside the radical to outside the radical. If the index is 3 (a cube root), then you need three of a kind to move from inside the radical to outside the radical.

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Step 4: Simplify the expressions both inside and outside the radical by multiplying. Multiply all numbers and variables inside the radical together. Multiply all numbers and variables outside the radical together.

Shorter version:

Step 1: Find the prime factorization of the number inside the radical.  

Step 2: Determine the index of the radical. In this case, the index is two because it is a square root, which means we need two of a kind.  

Step 3: Move each group of numbers or variables from inside the radical to outside the radical. In this case, the pair of 2’s and 3’s moved outside the radical.  

Step 4: Simplify the expressions both inside and outside the radical by multiplying.

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