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melamori03 [73]
3 years ago
11

Tim purchases 3,000 shares in company X at $2.49 per share. The company subsequently announces a profit warning, and the share p

rice drops to $2.24 per share. Wishing to minimise his losses, Tim decides to sell his shares. How much of a loss does Tim make? Give your answer in dollars to the nearest dollar
Mathematics
1 answer:
anygoal [31]3 years ago
3 0

Answer:

  $750

Step-by-step explanation:

Tim's share price changes by $2.24 -2.49 = -0.25, so the change in the value of his investment is ...

  (3000 shares)(-0.25/share) = -$750

Tim takes a loss of $750 when he sells.

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Svetach [21]
Presumably you should be doing this using calculus methods, namely computing the surface integral along \mathbf r(u,v).

But since \mathbf r(u,v) describes a sphere, we can simply recall that the surface area of a sphere of radius a is 4\pi a^2.

In calculus terms, we would first find an expression for the surface element, which is given by

\displaystyle\iint_S\mathrm dS=\iint_S\left\|\frac{\partial\mathbf r}{\partial u}\times\frac{\partial\mathbf r}{\partial v}\right\|\,\mathrm du\,\mathrm dv

\dfrac{\partial\mathbf r}{\partial u}=a\cos u\cos v\,\mathbf i+a\cos u\sin v\,\mathbf j-a\sin u\,\mathbf k
\dfrac{\partial\mathbf r}{\partial v}=-a\sin u\sin v\,\mathbf i+a\sin u\cos v\,\mathbf j
\implies\dfrac{\partial\mathbf r}{\partial u}\times\dfrac{\partial\mathbf r}{\partial v}=a^2\sin^2u\cos v\,\mathbf i+a^2\sin^2u\sin v\,\mathbf j+a^2\sin u\cos u\,\mathbf k
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So the area of the surface is

\displaystyle\iint_S\mathrm dS=\int_{u=0}^{u=\pi}\int_{v=0}^{v=2\pi}a^2\sin u\,\mathrm dv\,\mathrm du=2\pi a^2\int_{u=0}^{u=\pi}\sin u
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as expected.
6 0
3 years ago
Can someone help me with this question please (brainiest and 50 points)
sergiy2304 [10]

Answer: Stephanie read more than 7 books because 8 points for 9 books each is equal to 72 points, which is the total amount of books she read.

Step-by-step explanation:

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5 0
2 years ago
Read 2 more answers
A 20 packet box of detergent sells for $5.49. What is the unit rate
jolli1 [7]

Answer:$0.27

Step-by-step explanation:

20=$5.49

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6 0
3 years ago
Suppose that a restaurant chain claims that its bottles of ketchup contain 24 ounces of ketchup on average, with a standard devi
Tanya [424]

Answer:

Confidence Interval = (23.776, 24.224)

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⇒ Mean = 24 ounces.

Standard Deviation = 0.8

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⇒ n = 49

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Corresponding z value with 95% confidence level = 1.96

Now, confidence interval is given by the following expression :

Mean \pm z^*\times \frac{\sigma}{\sqrt{n}}\\\\=24\pm1.96\times \frac{0.8}{\sqrt{49}}\\\\=24\pm 0.224

Hence, Confidence Interval = (23.776, 24.224)

6 0
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enot [183]
9 groups of 4 students each = (9 x 4) = 36
6 groups of 6 students each = (6 x 6) = 36


7 0
3 years ago
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