Monique has $2.00 in change in her purse. If she has an equal number of nickels, dimes, and quarters, how many of

Mathematics

1 answer:

Sever21 [200]3 years ago

7 0

Let the number of coins = X

A nickel is 0.05

A dime is 0.10

A quarter is 0.25

Set up an equation to add all the coins together to equal the total she has:

0.05x + 0.10x + 0.25x = 2.00

Simplify:

0.40x = 2.00

Divide both sides by 0.40

x = 2.00 / 0.40

x = 5

Check:

Nickels = 0.50 x 5 = 0.25

Dimes = 0.10 x 5 = 0.50

Quarters = 0.25 x 5 = 1.25

0.25 + 0.50 + 1.25 = 2.00

She has 5 of each coin.

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ivanzaharov [21]

The sequence forms a Geometric sequence as the rule to obtain the value for the next term is by ratio

Term 1: 1000
Term 2: 200
Term 3: 40

From term 1 to term 2, there's a decrease by $\frac{1}{5}$
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The rule to find the $n^{th}$ term in a sequence is
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So, the formula for the sequence in question is
$n_{th}$ term = $1000( \frac{1}{5} ^{n-1} )$

The sequence is a divergent one. We can always find the value of the next term by dividing the previous term by 5 and if we do that, the value of the next term will get closer to 'zero' but never actually equal to zero.

We can find a partial sum of the sequence using the formula
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Substituting $a=1000$ and $r= \frac{1}{5}$ we have
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Hence, the correct option is option number 1

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3 years ago

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yanalaym [24]

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3 years ago

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Lera25 [3.4K]

Answer: 6

Step-by-step explanation:

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