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stepladder [879]
3 years ago
11

If Sally earned $630 in interest when investing $1200 at a rate of 15% per year, how many years have passed?

Mathematics
1 answer:
jasenka [17]3 years ago
5 0
630/1200*0.15=3.5.........
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Suppose that the rate of return on stocks is normally dis-tributed with mean of 9% and a standard deviation of 3%. If I pick fiv
alisha [4.7K]

Answer:

The probability that at least two stocks will have a return of more than 12% is 0.1810.

Step-by-step explanation:

Let <em>X</em> = rate of return on stocks.

The random variable <em>X</em> follows a Normal distribution, N (9, 3²).

Compute the probability that a stock has rate of return more than 12% as follows:

P(X\geq 12)=1-P(X

**Use the <em>z</em> table for the probability.

The probability of a stock having rate of return more than 12% is 0.1587.

Now define a random variable <em>Y</em> as the number of stocks that has rate of return more than 12%.

The sample size of stocks selected is, <em>n</em> = 5.

The random variable <em>Y </em>follows a Binomial distribution.

The probability of a Binomial distribution is:

P(X=x)={n\choose x}p^{x}(1-p)^{n-x};\ x=0, 1, 2, ...

Compute the value of P (X ≥ 2) as follows:

P (X ≥ 2) = 1 - P (X < 2)

              = 1 - P (X = 0) - P (X = 1)

              =1-{5\choose 0}(0.1587)^{0}(1-0.1587)^{5-0}-{5\choose 1}(0.1587)^{1}(1-0.1587)^{5-1}\\=1-0.4215-0.3975\\=0.1810

Thus, the probability that at least two stocks will have a return of more than 12% is 0.1810.

6 0
3 years ago
A 6 inch-tall plant grew 3/4 of an inch week and twice as much the following week. How tall is the plant now?
Alla [95]
8.25 inches once you multiply the 3/4 by 2 and add that and also add the 3/4 from the previous week you’ll get your answer
7 0
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Answer:

T = 59

U = 27

V = 94

Step-by-step explanation:

(5x +4) + (8x + 6) + (2x+5) = 180

15x + 15 = 180

15x = 165

x = 11

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Which equation has the steepest graph?
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The graph with the highest absolute value is the steepest. In this case, the answer is C.
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3 years ago
A trapezoid has a height of 8 cm and bases with lengths of 14 cm and 8 cm. Tina says the area of the trapezoid is 176 cm2.
Sonbull [250]

Answer:

Step-by-step explanation:

Let's do this properly:

                                 

Area of trapezoid =  average length times height.

Here,

Area = (1/2)(8 cm + 14 cm)(8 cm), or

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It appears that Tina forgot to divide the sum of 14 cm and 8 cm by 2.  Thus, her answer is twice as large as it should be.

7 0
3 years ago
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