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natita [175]
3 years ago
11

Suppose $500 is invested in an account at an annual interest rate of r =5.5%, compounded continuously.

Mathematics
1 answer:
Natalka [10]3 years ago
4 0

Answer: a) A(t)= $500(1.055)^t

b) Amount after 9 years A(9) = $809.55

Amount after 17 years A(17) = $1242.40

Step-by-step explanation: shown in the attachment.

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how many weeks of data must be randomly sampled to estimate the mean weekly sales of a new line of athletic footwear? We want 98
Ber [7]

Answer:

We need to sample at least 37 weeks of data.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.98}{2} = 0.01

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.01 = 0.99, so z = 2.327

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

We want 98% confidence that the sample mean is within $500 of the population mean, and the population standard deviation is known to be $1300

This is at least n weeks, in which n is found when M = 500, \sigma = 1300

So

M = z*\frac{\sigma}{\sqrt{n}}

500 = 2.327*\frac{1300}{\sqrt{n}}

500\sqrt{n} = 2.327*1300

\sqrt{n} = \frac{2.327*1300}{500}

(\sqrt{n})^{2} = (\frac{2.327*1300}{500})^{2}

n = 36.6

Rounding up

We need to sample at least 37 weeks of data.

8 0
3 years ago
7th grade Ms. Takemoto wants to raise her math grade to a 95 to improve her chances of winning a math scholarship. Her math aver
malfutka [58]
No, 15% of 81 is 12.5 and 81+12.5 is only 93.5 and she needs at least a 95
8 0
3 years ago
determine the average rate of change of the function between the given variables h(x) = x; x=a, x=a+h​
Alecsey [184]

Answer:

the average rate of change is 4.

Step-by-step explanation:

Find the average rate of change of f(x)=x^2 on the interval [1,3].

The average rate of change of f(x) on the interval [a,b] is f(b)−f(a)/b−a.

We have that a=1, b=3, f(x)=x^2.

Thus, f(b)−f(a)/b−a=((3))^2−(((1))^2)/3−(1) = 4.

6 0
3 years ago
152 is 0.8​% of what​ number? Use pencil and paper. Would you expect the answer to be a lot less than 152​, slightly less than ​
tatyana61 [14]

Answer:

1.22

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Does anyone get this?
stepladder [879]

Answer: B

Step-by-step explanation:

 In the systems of equation it already gives you the solution for x  which is -2 so all you have to do is substitute -2 into the first equation and solve for y.

y= 2/3x + 3    

x= -2

Substitute x for -2

y = \frac{2}{3}* \frac{-2}1}  + 3  

y= \frac{-4}{3} + \frac{3}{1}    

y = \frac{5}{3}  

so now you have the solution like this (-2,\frac{5}{3})

8 0
3 years ago
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