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tester [92]
3 years ago
11

PLEASE HELP ASAP!!!!!!! 20 POINTS

Mathematics
1 answer:
aliya0001 [1]3 years ago
6 0
Recall the compound interest formula
a = p {(1 +  \frac{r}{n} )}^{nt}
Where r = 0.04, n = 12 since compounded monthly, t = 30, and p, initial value, is 24000.

Plug them in, 79523.95 seems to be the solution.
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Solve the inequality |* +31 &lt; |2x + 1.<br> |x+3|&lt;|2x+1|
Kisachek [45]

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Step-by-step explanation:

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Isolate the absolute value expression on the left side of the inequality.

If the number on the other side of the inequality sign is negative, your equation either has no solution or all real numbers as solutions.

If your problem has a greater than sign (your problem now says that an absolute value is greater than a number), then set up an "or" compound inequality that looks like this:

(quantity inside absolute value) < -(number on other side)

OR

(quantity inside absolute value) > (number on other side)

The same setup is used for a ³ sign.

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7 0
3 years ago
drug sniffing dogs must be 95% accurate in their responses because their handlers don't want them to miss durgs and also don't w
GenaCL600 [577]

Answer:

95% Confidence interval:  (0.8449,0.9951)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 50

Number of times the dog is right, x = 46

\hat{p} = \dfrac{x}{n} = \dfrac{46}{50} = 0.92

95% Confidence interval:

\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

Putting the values, we get:

0.92 \pm 1.96(\sqrt{\dfrac{0.92(1-0.92)}{50}})\\\\ = 0.92\pm 0.0751\\\\=(0.8449,0.9951)

(0.8449,0.9951) is the required 95% confidence interval for the proportion of times the dog will be correct.

7 0
3 years ago
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