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Semmy [17]
3 years ago
11

If an amount of $100 in a savings account increases by 10% then increases by 10% again is that the same as increasing by 20

Mathematics
1 answer:
maw [93]3 years ago
8 0
No, it's not.
increasing by a percentage means (1+percentage)
$100 * (1+0.1) = $110

$110 * (1.1) = $121

However, $110 * 1.2 = $132
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Find the area of the part of the paraboloid z = 9 - x^2 - y^2 that lies above the xy-plane.
svetoff [14.1K]

Parameterize this surface (call it S) by

\vec r(u,v)=u\cos v\,\vec\imath+u\sin v\,\vec\jmath+(9-u^2)\,\vec k

with 0\le u\le3 and 0\le v\le2\pi. Take the normal vector to S to be

\vec r_u\times\vec r_v=2u^2\cos v\,\vec\imath+2u^2\sin v\,\vec\jmath+u\,\vec k

Then the area of S is

\displaystyle\iint_S\mathrm dA=\iint_S\|\vec r_u\times\vec r_v\|\,\mathrm du\,\mathrm dv

=\displaystyle\int_0^{2\pi}\int_0^3u\sqrt{1+4u^2}\,\mathrm du\,\mathrm dv

=\displaystyle2\pi\int_0^3u\sqrt{1+4u^2}\,\mathrm du=\boxed{\frac{37\sqrt{37}-1}6\pi}

3 0
3 years ago
BRAINLIEST, URGENT
stira [4]

Answer:

12.5 m

Step-by-step explanation:

1st drop 50 m

2nd drop 50/2 = 25 m

3rd drop 25/2 = 12.5 m

4 0
2 years ago
The sum of 3 consecutive odd numbers is 51. What is the second number in this sequence?
tatiyna
(2n +1) + (2n + 3) + (2n + 5) = 51
6n + 9 = 51
6n = 42
n = 7
numbers are 15 17 and 19

5 0
3 years ago
A quadrilateral has three angles measuring 60 º , 45 º, and 100 º . What is the measure of the fourth angle?
morpeh [17]

Answer:

155°

Step-by-step explanation:

The sum four angles is 360° so:

60°+45°+100°+x=360°

x = 360°-100°-45°-60°=155°

3 0
3 years ago
What’s the answer????
serious [3.7K]

Answer:

c

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
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