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3 years ago

7

You invest $350 in an account with an interest rate of 1.2% compounded continuously. How much money would be in the account afte

r 10 years? Round your answer to the nearest whole number.
Show all work.

1 answer:

In-s [12.5K]3 years ago

6 0

You will get about 1300 a year

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Identify the property used in the first four steps to solve this equation.

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Step 1: Distributive Property

Step 2: Subtraction Property of Equality

Step 3: Addition Property of Equality

Step 4: Division Property of Equality

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3 years ago

.MARY WAS TOLD TO RUN AROUND THE TRACK 5 TIMES BY HER COACH. ONCE AROUND THE TRACK IS 5/6 OF A MILE. MARY WAS ONLY ABLE TO RUN A

Alenkasestr [34]

Answer:

3.61 miles

Step-by-step explanation:

Given that:

Length of track = 5/6 of a mile

Number times Mary was able to run around the track = 4 1/3 times

Total miles ran by Mary :

(Equivalent mile of the track * number of times Mary ran around the track)

5/6 of a mile * 4 1/3 times

5/6 * 13/3

= 65 / 18

= 3.611111 miles

Hence, total Number of miles ran by Mary is 3.61 miles

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2 years ago

A coin is thrown independently 10 times to test the hypothesis that the probability of heads is 0.5 versus the alternative that

mafiozo [28]

Answer:

(a) The significance level of the test is 0.002.

(b) The power of the test is 0.3487.

Step-by-step explanation:

We are given that a coin is thrown independently 10 times to test the hypothesis that the probability of heads is 0.5 versus the alternative that the probability is not 0.5.

The test rejects the null hypothesis if either 0 or 10 heads are observed.

Let p = <u><em>probability of obtaining head.</em></u>

So, Null Hypothesis, $H_0$ : p = 0.5

Alternate Hypothesis, $H_A$ : p $\neq$ 0.5

(a) The significance level of the test which is represented by $\alpha$ is the probability of Type I error.

Type I error states the probability of rejecting the null hypothesis given the fact that the null hypothesis is true.

Here, the probability of rejecting the null hypothesis means we obtain the probability of observing either 0 or 10 heads, that is;

P(Type I error) = $\alpha$

P(X = 0/ $H_0$ is true) + P(X = 10/ $H_0$ is true) = $\alpha$

Also, the event of obtaining heads when a coin is thrown 10 times can be considered as a binomial experiment.

So, X ~ Binom(n = 10, p = 0.5)

P(X = 0/ $H_0$ is true) + P(X = 10/ $H_0$ is true) = $\alpha$

$\binom{10}{0}\times 0.5^{0} \times (1-0.5)^{10-0} +\binom{10}{10}\times 0.5^{10} \times (1-0.5)^{10-10}$ = $\alpha$

$(1\times 1\times 0.5^{10}) +(1 \times 0.5^{10} \times 0.5^{0})$ = $\alpha$

$\alpha$ = 0.0019

So, the significance level of the test is 0.002.

(b) It is stated that the probability of heads is 0.1, and we have to find the power of the test.

Here the Type II error is used which states the probability of accepting the null hypothesis given the fact that the null hypothesis is false.

Also, the power of the test is represented by (1 - $\beta$ ).

So, here, X ~ Binom(n = 10, p = 0.1)

$1-\beta$ = P(X = 0/ $H_0$ is true) + P(X = 10/ $H_0$ is true)

$1-\beta$ = $\binom{10}{0}\times 0.1^{0} \times (1-0.1)^{10-0} +\binom{10}{10}\times 0.1^{10} \times (1-0.1)^{10-10}$

$1-\beta$ = $(1\times 1\times 0.9^{10}) +(1 \times 0.1^{10} \times 0.9^{0})$

$1-\beta$ = 0.3487

Hence, the power of the test is 0.3487.

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3 years ago

Ellla and some friends are going to a movie. Each movie ticket cost 5 dollars. Create an a equation that shows the relationship

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Answer:

5n=c

Step-by-step explanation:

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2 years ago

In the triangles, and . Which statement correctly compares the angles? Angle G is congruent to angle P. Angle G is smaller than

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Answer: angle g

Step-by-step explanation: Angle G is smaller than angle P. Angle G is larger than angle P. Angle G is congruent to angle N. 2 Consider the triangle.

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3 years ago

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