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melisa1 [442]
2 years ago
10

Tahmar knows the formula for simple interest is I = Prt, where I represents the simple interest on an amount of money, P, for t

years at r rate. She transforms the equation to isolate P : P = . Using this formula, what is the amount of money, P, that will generate $20 at a 5% interest rate over 5 years?
Mathematics
1 answer:
Masteriza [31]2 years ago
3 0
<span> $80

Working
Making p the subject gives:
P=</span>\frac{I}{rT}
<span>Substituting for values of I, r and t</span>
p= \frac{20}{0.05*5}
p=80 dollars
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The volume of a rectangular prism is 48 cubic meters. It is 6 meters long and 2 meters wide.
horsena [70]

Answer:

12m^2

Step-by-step explanation:

volume = 48 m^3

l*b*h = 48

12*h = 48

h = 4 m

baSe of prism will be made of l and b

so area is 12 m^2

8 0
2 years ago
From a piece of tin in the shape of a square 6 inches on a side, the largest possible circle is cut out. What is the ratio of th
wel

Answer:

\sf \dfrac{1}{4} \pi \quad or \quad \dfrac{7}{9}

Step-by-step explanation:

The <u>width</u> of a square is its <u>side length</u>.

The <u>width</u> of a circle is its <u>diameter</u>.

Therefore, the largest possible circle that can be cut out from a square is a circle whose <u>diameter</u> is <u>equal in length</u> to the <u>side length</u> of the square.

<u>Formulas</u>

\sf \textsf{Area of a square}=s^2 \quad \textsf{(where s is the side length)}

\sf \textsf{Area of a circle}=\pi r^2 \quad \textsf{(where r is the radius)}

\sf \textsf{Radius of a circle}=\dfrac{1}{2}d \quad \textsf{(where d is the diameter)}

If the diameter is equal to the side length of the square, then:
\implies \sf r=\dfrac{1}{2}s

Therefore:

\begin{aligned}\implies \sf Area\:of\:circle & = \sf \pi \left(\dfrac{s}{2}\right)^2\\& = \sf \pi \left(\dfrac{s^2}{4}\right)\\& = \sf \dfrac{1}{4}\pi s^2 \end{aligned}

So the ratio of the area of the circle to the original square is:

\begin{aligned}\textsf{area of circle} & :\textsf{area of square}\\\sf \dfrac{1}{4}\pi s^2 & : \sf s^2\\\sf \dfrac{1}{4}\pi & : 1\end{aligned}

Given:

  • side length (s) = 6 in
  • radius (r) = 6 ÷ 2 = 3 in

\implies \sf \textsf{Area of square}=6^2=36\:in^2

\implies \sf \textsf{Area of circle}=\pi \cdot 3^2=28\:in^2\:\:(nearest\:whole\:number)

Ratio of circle to square:

\implies \dfrac{28}{36}=\dfrac{7}{9}

5 0
2 years ago
What is the solution of /x2+49 = x+5?
ICE Princess25 [194]

Answer: x= 12/5 or 2 2/5

Step-by-step explanation:

6 0
3 years ago
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What is 575% written as a mixed number
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575/100==23/4=5 3/4

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