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sukhopar [10]
2 years ago
7

Determine the volume of this prism

Mathematics
2 answers:
Elena L [17]2 years ago
5 0

Answer: A) 200

Step-by-step explanation: The volume of a prism is length x width x height. Substitute the variables in this given prism into the equation.

Length = 10

Width = 5

Height = 4

V = 10 x 5 x 4 = 200

nikdorinn [45]2 years ago
4 0

Answer:

200cm cubed

Step-by-step explanation:

Remember that volume of a rectangular prism is length x width x height

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3/4

Step-by-step explanation:

We need two points to find the slope

( 20,20) and (60,50)

m = (y2-y1)/(x2-x1)

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   = 30/40

   = 3/4

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When the solution to x2 − 11x + 5 is expressed as 11 plus or minus the square root of r, all over 2, what is the value of r? x e
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Step-by-step explanation:

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Mai invests $20,000 at age 20. She hopes the investment will be worth $500,000 when she turns 40. If the interest compounds cont
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Answer:

\approx 17.5% per annum

Step-by-step explanation:

<u>Given:</u>

Money invested = $20,000 at the age of 20 years.

Money expected to be $500,000 at the age of 40.

Time = 40 - 20 = 20 years

<em>Interest is compounded annually.</em>

<u>To find:</u>

Rate of growth = ?

<u>Solution:</u>

First of all, let us have a look at the formula for compound interest.

A = P \times (1+\frac{R}{100})^T

Where A is the amount after T years compounding at a rate of R% per annum. P is the principal amount.

Here, We are given:

P = $20,000

A = $500,000

T = 20 years

R = ?

Putting all the values in the formula:

500000 = 20000 \times (1+\frac{R}{100})^{20}\\\Rightarrow \dfrac{500000}{20000} =(1+\frac{R}{100})^{20}\\\Rightarrow 25 =(1+\frac{R}{100})^{20}\\\Rightarrow \sqrt[20]{25} =1+\frac{R}{100}\\\Rightarrow 1.175 = 1+0.01R\\\Rightarrow R \approx17.5\%

So, the correct answer is \approx <em>17.5% </em>per annum and compounding annually.

6 0
3 years ago
A subtending arc on a circle with a radius of 4.5 centimeters has an arc length of 8π. The measure of the angle subtended by the
dem82 [27]

Answer: 320°

Step-by-step explanation:

This is a circle geometry.

The arc length of the circle is given to be 8πcm and the radius is 4.5cm.

Now the length of an arc of a circle is

Arc length = πr0°/180° or 2πr0°/360°

To find the angle 0° subtend at the center we equate the arc length with the formula and solve for 0°.Now we go

πr0°/180 = 8π, convert to a simple linear equal and solve for the angle.

πr0° = 8π × 180

0°. = 8π × 180

-----------

π × r

= 8 × 180. 8 × 180

-------- or ---------

9/2. 4.5

= 8 × 180 × 2

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9

= 8 × 20 × 2

= 320°

or 8 × 180/4.5

= 1440/4.5

= 320°

4 0
3 years ago
Kishore bought a basket containing 30 orangs for rs 310. If he sells the orangs at rs 12 each , what Would be it's profit or los
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Given : Kishore bought a basket containing 30 oranges for rs 310. If he sells the oranges at rs 12 each , what Would be it's profit or loss?

Solution :

Cost price of oranges = rs.310

As we know that each oranges cost rs.12

So, selling price of oranges is 30 × 12 = rs.360

Now, <u>finding profit or loss</u>

Profit = Selling Price - Cost Price

Profit = rs.360 - rs.310

Profit = rs.50

  • So, the profit is ₹50
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