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3 years ago

Correct answers only please!

Mathematics

2 answers:

blagie [28]3 years ago

6 0

Answer: $86.25

Step-by-step explanation:

For this problem, we are given p, r, t.

p=70 (starting amount)

r=0.11 (11%)

t=2 (years)

We can plug this into the equation B=p(1+r)^t

B=70(1+0.11)^2

B=86.247

Sam would have $86.25

dezoksy [38]3 years ago

3 0

Answer:

$86.25

Step-by-step explanation:

B = p(1 + r)t must be written as B = p(1 + r)^t. The "^t" denotes exponentiation.

Then, with B = p(1 + r)^t, we need to insert $70 for p, 0.11 for r and 2 for t:

B = $70(1 + 0.11)^2 = $86.25

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Jet001 [13]

Answer:

-9/7

Step-by-step explanation:

Put the equation into y = mx + b form, by first isolating y:

9x + 7y= 7

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An empty cylindrical vase with a radius of 8 cm and a height of 9 cm is filled with 6 cm^3 of sand every 15 seconds. At the same

Andru [333]

General Idea:

The volume of cylinder is given by $\pi r^{2} h$ , where r is the radius and h is the height of the cylinder.

Applying the concept:

Step 1: We need to find the volume of full cylinder with the given dimensions using the formula.

Volume of full cylinder $=\pi r^{2} h=\pi* 8^{2} *9=576\pi cm^{3}$

Volume of half cylinder $=\frac{576\pi }{2} =288\pi cm^{3}$

Step 2: Let x be the number of minutes of filling the sand.

$6 cm^{3}$ of sand filled every 15 seconds, there are four 15 seconds in a minute.

So volume of sand filled in 1 minute $= 6*4 cm^{3} = 24 cm^{3}$ .

$8 cm^{3}$ of sand taken out of cylindrical vase every minute.

Net volume of sand filled in 1 minute = Volume of sand filled in the vase in one minute - Volume of sand taken out in 1 minute

Net volume of sand filled in 1 minute $=24 cm^{3} - 8cm^{3}=16cm^{3}$

Volume of sand filled in x minutes $= 16x$ .

We need to set up an equation to find the number of minutes need to fill half the volume in cylindrical vase.

$16x = 288\pi \\ \\ x=\frac{288\pi}{16} \\ \\ x=18\pi \\ \\ x=57 minutes$

Conclusion:

The number of minutes required for the base be half filled with sand is 57

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3 years ago

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scZoUnD [109]

Answer:

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Simple this will look like this
-3n
^^^=6
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