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3 years ago

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Randy’s circular garden has a radius of 1.5 feet. He wants to enclose the garden with edging that costs $0.75 per foot. About ho

w much will the edging cost?

1 answer:

OverLord2011 [107]3 years ago

3 0

Answer:

$2.25 is answer

perimeter of circular garden=2πr=2×π×1.5=3πfeet

1 foot=$0.75

3πfeet=3×$0.75=$2.25

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Consider an election with 681 votes a) If there are 5 candidates, what is the smallest number of first-place votes a candidate c

joja [24]

Answer:

137 votes

Step-by-step explanation:

considering an election with 681 votes and 5 candidates up for the election

dividing the votes among'st 5 candidates

= 681 / 5 = 136.2 hence the least number of first-place votes needed by a candidate using the plurality method would be = 137 votes

136.2 + 136.2 + 136.2 + 136.2 + 136.2 = 681 ( dividing the votes equally )

136 + 136 + 136 + 136+136 = 680

hence the remaining vote = 681 - 680 = 1

least first-place vote = 136 + 1 = 137 votes

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3 years ago

How do you find the surface area of a cube?

timofeeve [1]

You find the surface area of a cube by using A=6a^2

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3 years ago

Frank deposits 5350.00 in a savings account. The account pays an annual Interest rate of 1%. Ile makes no other deposits or with

9966 [12]

Answer:

If the account paid a <u>monthly</u> interest instead of <u>annual</u>, the answer would be $162.12

Step-by-step explanation:

<h3>PS: THIS ISN'T THE ANSWER TO THIS QUESTION BECAUSE IT STATED 'ANNUAL INTEREST' BUT I USED MONTHLY INTEREST INSTEAD. HOPE THIS HELPS SOMEONE ELSE THOUGH.</h3><h3><u>FIRST MONTH</u></h3>

Original value is $5350.00

Percentage increase(interest gained) is 1%

Total value after 1st month is equal to the Original Value + The interest

<em>$5350.00 x 0.01 </em>(0.01 = 1/100 = 1%) =<em> $53.50</em>

Do not try and do this altogether as you will get the answer wrong. Instead calculate month by month.

At the end of the <u>first month</u>, he has <em>($5350.00 + $53.50) = $5403.50</em>

<h3><u>SECOND MONTH</u></h3>

Original Value is $5403.50

Percentage increase(interest gained) is <em>still </em>1%

Total value after the 2nd month is equal to the Original Value+The interest

<em>$5403.50 x 0.01 = $54.035</em>

<u>ALWAYS</u> round off to the nearest cent before continuing.

At the end of the <u>second month</u>, he has <em>($5403.50 + $54.04) = $5457.54</em>

<h3><u>THIRD MONTH</u></h3>

Original Value is $5457.54

Percentage increase(interest gained) is 1%

Total value after the 3rd month is equal to the Original Value + The interest

<em>$5457.54 x 0.01 = $54.5754 = $54.58</em>

When rounding off, if the number is 5 or higher, add 1 to the digit before it.

At the end of the <u>third month</u>, he has <em>($5457.54 + $54.58) = $5512.12</em>

The question asks, how much interest did his money earn. If you calculated like how I did above, picking the interest should be easy.

Simply add, the first month's interest, to the second month's interest, to the third month's interest.

<em>$53.50 + $54.04 + $54.58 = $162.12</em>

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3 years ago

Write 24% as a reduced fraction

tekilochka [14]

6/25 or 6 over 25, however you wanna look at it!

3 0

3 years ago

Find the pattern and use it to list the nth term in the sequence.<br> 3, 9, 27, 81, 243 ...

KonstantinChe [14]

The pattern is formed a geometric sequence

The nth term of the sequence is $a_{n}=3^{n}$

Step-by-step explanation:

The formula of the nth term of a geometric sequence is:

$a_{n}=ar^{n-1}$ , where

a is the first term
r is the common ratio between the consecutive terms

∵ The pattern is 3 , 9 , 27 , 81 , 243

∵ 9 ÷ 3 = 3

∵ 27 ÷ 9 = 3

∵ 81 ÷ 27 = 3

∵ 243 ÷ 81 = 3

- There is a common ratio 3 between each two consecutive terms

∴ The pattern is formed a geometric sequence

∵ The first term is 3

∴ a = 3

∵ The common ratio is 3

∴ r = 3

- To find the nth term substitute a and r in the formula above

∵ $a_{n}=ar^{n-1}$

∴ $a_{n}=3(3)^{n-1}$

- Remember we add the powers of the same base with multiplication

∵ 3 × $3^{n-1}$ = $3^{1+n-1}$

∴ 3 × $3^{n-1}$ = $3^{n}$

∴ $a_{n}=3^{n}$

∴ The nth term of the sequence is $a_{n}=3^{n}$

Learn more:

You can learn more about the sequences in brainly.com/question/1522572

#LearnwithBrainly

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3 years ago