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natali 33 [55]
3 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]3 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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Natali5045456 [20]

Answer:

1

Step-by-step explanation:

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5 0
3 years ago
Write the 5th term in the expansion of (5x-y/2)^7
Nezavi [6.7K]

Answer:

65625/4(x^5)(y²)

Step-by-step explanation:

Using binomial expansion

Formula: (n k) (a^k)(b ^(n-k))

Where (n k) represents n combination of k (nCk)

From the question k = 5 (i.e. 5th term)

n = 7 (power of expression)

a = 5x

b = -y/2

....................

Solving nCk

n = 7

k = 5

nCk = 7C5

= 7!/(5!2!) ------ Expand Expression

=7 * 6 * 5! /(5! * 2*1)

= 7*6/2

= 21 ------

.........................

Solving (a^k) (b^(n-k))

a = 5x

b = -y/2

k = 5

n = 7

Substituting these values in the expression

(5x)^5 * (-y/2)^(7-5)

= (3125x^5) * (-y/2)²

= 3125x^5 * y²/4

= (3125x^5)(y²)/4

------------------------------------

Multiplying the two expression above

21 * (3125x^5)(y²)/4

= 65625/4(x^5)(y²)

5 0
3 years ago
1. Consider the system of equations below. What could be the first step in solving by elimination?
leva [86]

Answer:

Multiple the first equation by -1

Step-by-step explanation:

After doing this you add the two equations together and follow the systems of equations as normal

-3x+-5y=-16\\3x+2y=10\\-3y=-6\\\frac{-3y}{-3} =\frac{-6}{-3} \\y=2

Therefore y = 2

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3 years ago
Which line is parallel to the line y = 5/2x - 9
Nadya [2.5K]

Answer: good luck

Step-by-step explanation:

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3 years ago
How to find the surface area of a prism??
Svetach [21]

Answer:

area of the two faces plus sides

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2 years ago
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