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Leona [35]
3 years ago
11

Pls help me I need these answers quick

Mathematics
1 answer:
zepelin [54]3 years ago
6 0

Answer: B ( 629.6 cubic feet)

Step-by-step explanation:

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A principal of $4,570 is placed in an account that earns 4. 5% interest. If the interest is compounded annually, how much money
iVinArrow [24]

~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$4570\\ r=rate\to 4.5\%\to \frac{4.5}{100}\dotfill &0.045\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases} \\\\\\ A=4570\left(1+\frac{0.045}{1}\right)^{1\cdot 5}\implies A=4570(1.045)^5\implies A\approx 5695.05

8 0
2 years ago
the difference between two numbers is 342. the bigger number is 4 times the smaller number. find the product of the two numbers.
SVETLANKA909090 [29]

Let the two numbers be x and y.

x = 4y

x - y = 342

3y = 342

y = 114

xy = 4y * y = 456 * 114 = 51984

6 0
3 years ago
The length of a rectangle is 9 centimeters more than half
Sedaia [141]

Answer:

l = 16 cm

Step-by-step explanation:

Let's set the width of the rectangle as "w" and the length of the rectangle as "w/2 + 9".

The perimeter of a rectangle is calculated by adding up the value of all of its side lengths. Therefore, we can find the perimeter using 2l + 2w = P.

We can substitute 60 for P and w/2 + 9 for l.

  • 2(w/2 + 9) + 2w = 60
  • 2w/2 + 18 + 2w = 60
  • w + 18 + 2w = 60
  • 3w + 18 = 60
  • 3w = 42
  • w = 14

Substitute w = 14 into the equation for length l.

  • l = w/2 + 9
  • l = 14/2 + 9
  • l = 16

The length of the rectangle is 16 cm.

4 0
3 years ago
A clear file box shaped like a rectangular prism is modeled below. The shaded part represents one base of the box. A formula for
IRINA_888 [86]

Answer:

C. B = (19)(14)

Step-by-step explanation:

Given:

length (l) = 19 in.

width (w) = 14 in.

height (h) = 11 in.

Formula for volume of the rectangular prism = Bh

Base area (B) = l*w

Base area (B) = (19)(14) in.²

Formula for finding base area: B = (19)(14)

8 0
3 years ago
Amanda's bank offers a savings account with a 2.8% APR, compounded monthly. What is the actual annual percentage yield on this a
Galina-37 [17]
It is a. 2.84 percent
5 0
3 years ago
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