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2 years ago

Solve. Use a calculator as needed for evaluating formulas.

Mathematics

1 answer:

slava [35]2 years ago

8 0

Answer:

$70.22 to the nearest cent.

Step-by-step explanation:

This is a geometric series with first term 0.03 and common ratio 2.

We need to find the sum of 15 terms of this series.

S15 = 0.03 *( 2^15 - 1) / (15 - 1)

= $70.22 .

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In how many years will Rs.1200 at the rate of 15% interest amount to Rs. 1740

Anvisha [2.4K]

Find the interest amount.

$I=1740-1200=540$

Use the formula for simple interest.

$I=prt/100$

Solve for t.

$540=1200 \times 15\% \times t$

$540=1200 \times \frac{15}{100} \times t$

$540=180t$

$t=\frac{540}{180}$

$t=3$

<h2>3 years.</h2>

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3 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

How much tip should you leave if you want to tip 23% at Applebee’s on a $27.31 bill?

nydimaria [60]

Answer:

6.2813

Step-by-step explanation:

If you minus 27.31 of 23%. 23% would have to be changed into a decimal or whole number.

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3 years ago

36 increased by twice x is

ICE Princess25 [194]

36 + x would be your answer. When something is 'increased', you are adding to it. Such as saying 47 increased by -5x is the same as 47 + (-5x).
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3 years ago

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The figure is made up of a cylinder and a sphere which has been cut in half. The radius of each half sphere is 5 mm. What is

alexgriva [62]

<h2>Answer:</h2>

<em>Rounded to the nearest hundredth the volume of the composite figure is:</em>

<em>1308 33 cubic millimeters</em>

<h2>Explanation:</h2>

Hello! I wrote the complete question in a comment above. The volume of a cylinder is defined as:

$V_{c}=\pi r^2 h \\ \\ r:radius \\ \\ h:height$

While the volume of half a sphere is:

$V_{hs}=\frac{2}{3}\pi r^3$

Since we have 2 half spheres, then the volume of these is the same as the volume of a sphere:

$V_{s}=\frac{4}{3}\pi r^3$

Then, the composite figure is:

$V=\pi r^2 h +\frac{4}{3}\pi r^3 \\ \\ V=\pi r^2(h+\frac{4}{3}r)$

The radius of the cylinder is the same of the radius of each half sphere. So:

$r=5mm \\ \\ h=10mm \\ \\ \\ V=(3.14) (5)^2((10)+\frac{4}{3}(5)) \\ \\ V=25(3.14)(10+\frac{20}{3}) \\ \\ \boxed{V\approx 1308.33mm^3}$

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2 years ago