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3 years ago

Scotts has a jar of quarters and dimes if there is $4.15 in the jar and there is 4 dimes how many quarters are in the jar

Mathematics

1 answer:

ch4aika [34]3 years ago

3 0

4 dimes is $.40

$4.15 - $.40 = $3.75

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3 years ago

Leo's bank balances at the end of months 1, 2, and 3 are $1500, $1530, and $1560.60,

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Leo's balance after 9 months will be: $1757.49

Step-by-step explanation:

It is given that the balances follow a geometric sequence

First of all, we have to find the common ratio

Here

$a_1 = 1500\\a_2 = 1530\\a_3 = 1560.60$

Common ratio is:

$r = \frac{a_2}{a_1} = \frac{1530}{1500} = 1.02\\r = \frac{a_3}{a_2} = \frac{1560.60}{1530} = 1.02$

So r = 1.02

The general form for geometric sequence is:

$a_n = a_1r^{n-1}$

Putting the first term and r

$a_n = 1500 . (1.02)^{n-1}$

To find the 9th month's balance

Putting n=9

$a_9 = 1500 . (1.02)^{9-1}\\= 1500.(1.02)^8\\=1757.4890$

Rounding off to nearest hundredth

$1757.49

Hence,

Leo's balance after 9 months will be: $1757.49

Keywords: Geometric sequence, balance

Learn more about geometric sequence at:

#LearnwithBrainly

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3 years ago

A cone has a volume of 300 units3, and a cylinder has a volume of 100 units3. Is it possible that the cylinder and the cone have

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3 years ago

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it's 180

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Step-by-step explanation:

$\sin(x) = \sqrt{1 - {cos}^{2}x }$

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sin(x)=±9/41

As x lies in Quadrant 4 , sin(x) = -9/41

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3 years ago

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