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sergij07 [2.7K]
1 year ago
15

A youth sports league held various fundraisers. They received $350 from a car wash, $337 from a bake sale, and $490 from a used

equipment sale. The league decides to invest this money in a 3 year CD that pays 2.2% interest compounded daily. How much will the league receive from the CD in 3 years?
Mathematics
1 answer:
mina [271]1 year ago
5 0

Given that the received amount was $350 from a car wash, $337 from a bake sale, and $490 from a used equipment sale.

Also, the interest rate is 2.2 % and the time period is 3 years.

Thus, the total amount is as follows:

\begin{gathered} \text{Total amount = 350+337+490} \\ \text{Total amount = }1177 \end{gathered}

Next, the accumulated amount can be calculated as follows:

\begin{gathered} Accumulated\text{ amount = P(1+}\frac{R}{100})^n \\ Accumulated\text{ amount }=\text{ 1177(1+}\frac{2.2}{100})^3 \\ Accumulated\text{ amount }=1177(\frac{102.2}{100})^3 \end{gathered}

Further, solve the obtained result as follows:

\begin{gathered} Accumulated\text{ amount }=\text{ 1177}\times(1.022)^3 \\ Accumulated\text{ amount }=1177\times1.067 \\ Accumulated\text{ amount }=1256.40 \end{gathered}

Thus, the league will have $1256.40 in their account after 3 years.

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Answer:

$18.75

Step-by-step explanation:

multiply 25 * 3/4 ( 0.75) and you get 18.75

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2 years ago
Jeremy wants to construct an open box from an 18-inch square piece of aluminum. He plans to cut equal squares, with sides of x i
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a.

The volume of the box V = 4x³ - 72x² + 324x

Since the dimensions of the square piece of paper are 18 inches each, and we cut out a length x from each side to give a total length of 2x cut from each side. So, each dimension is L = 18 - 2x.

Since the height of the open box is x and its base is a square, the volume of the open box ix V = L²x

= (18 - 2x)²x

= (324 - 72x + 4x²)x

= 324x - 72x² + 4x³

The volume of the box V = 4x³ - 72x² + 324x

b.

The minimum value of length of the sides of the squares cut from each corner is x = 3 inches.

  • the length of the box, L = 12 inches,
  • the width of the box = 12 inches
  • and the height of the box, x = 3 inches.

Since the volume of the box is 432 cubic inches,

V = 324x - 72x² + 4x³

324x - 72x² + 4x³ = 432

4x³  - 72x² + 324x - 432 = 0

x³  - 18x² + 81x - 108 = 0

A factor of the expression is x - 3

So, x³  - 18x² + 81x - 108 ÷ x - 3 = x² - 15x + 36

So,  x³  - 18x² + 81x - 108 = (x² - 15x + 36)(x - 3) = 0

Factorizing the expression x² - 15x + 36 = 0

x² - 3x - 12x + 36 = 0

x(x - 3) - 12(x - 3) = 0

(x - 3)(x - 12) = 0

So,  x³  - 18x² + 81x - 108 = (x - 3)(x - 3)(x - 12) = 0

So, (x - 3)²(x - 12) = 0

(x - 3)² = 0 and (x - 12) = 0

x - 3 = √0 and x - 12 = 0

x - 3 = 0 and x - 12 = 0

x = 3 twice and x = 12

Since x = 3 is the minimum value, the minimum value of x = 3.

Since the length of the box, L = 18 - 2x

= 18 - 2(3)

= 18 - 6

= 12 inches

The width of the box = L = 12 inches

The height of the box = x = 3 inches.

So,

The minimum value of length of the sides of the squares cut from each corner is x = 3 inches.

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  • the width of the box = 12 inches
  • and the height of the box, x = 3 inches.

Learn more about volume of a box here:

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2 years ago
9/x + 2 = 20<br><br> WAHT IN THE WORLD? HOWWWW?!
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Answer:

1/2 =x

Step-by-step explanation:

9/x + 2 = 20

Subtract 2 from each side

9/x + 2-2 = 20-2

9/x =18

Multiply each side by x

9/x *x = 18*x

9 = 18x

Divide each side by 18

9/18 = 18x/18

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A furniture store pays a wholesale price for a mattress. Then, the store marks up the retail price to 150% of the wholesale pric
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Part A:

Given that <span>the mattress is sold for 50% off of the retail price, let the retail price of the mattress be x, then

50% of x = 1200
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Therefore, </span><span>the retail price of the mattress, before the discount is $2,400.



Part B:

Given that </span><span>the store marks up the retail price to 150% of the wholesale price. Let the whole sale price be p, then

(100% + 150%) of p = 2400
250% of p = 2400
2.5p = 2400
p = 2400 / 2.5 = 960.

Therefore, </span><span>the wholesale price, before the markup was $960</span>
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