Michelle needs to save $7,000 for school in the next two years. She found a bank that offers a 9% interest rate compounded annually. What does she need to deposit at the beginning of the year to have enough money for school?

Answers

Answer 1

Answer: $100\%+9\%=109\%=1.09\n\nx*1.09^2=7,000\n\n1.1881x=7,000\ \ \ \ /:1.1881\n\nx\approx5892\n\nAnswer:\$5892$

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Devaughn is 9 years younger than Sydney. The sum of their ages is 61. What is Sydney's age?

Answers

x = devaughn age
y = sydney age
x = y - 9
x + y = 61
y-9 + y = 61
2y= 61+9
2y = 70
y = 35
x = 35 - 9 = 26

check
35 + 26 = 61

35- 26 = 9

52? ahh thats what im thinking. Maybe wait for someone elses answer

How to write g(x)=2x+3/x+1 in the form of:g(x)=a/x+p +q

Answers

Hello,

Please write correctly.

g(x)= (2x+3)/(x+1) to be written like a/(x+p) + q

It is very simple!

(2x+3)/(x+1)= [(2x+2)+1]/(x+1)= (2(x+1)+1)/(x+1)= 2+1/(x+1)

Find the solution of 3 times the square root of the quantity of x plus 5 equals negative 9, and determine if it is an extraneous solution.

Answers

Answer: x= 4 is an extraneous solution.

Step-by-step explanation:

Since we have given that

$3(√(x+5))=-9$

We need to find the extraneous solution.

So, our equation becomes,

$√(x+5)=(-9)/(3)\n\n√(x+5)=-3\n\n\text{On squaring both sides}\n\nx+55=(-3)^2\n\nx+5=9\n\nx=9-5\n\nx=4$

Now, we will check that x = 4 is an extraneous solution.

$3√(4+5)\neq -9\n\n3√(9)\neq -9\n\n3* 3\neq -9\n\n9\neq -9$

Hence, x= 4 is an extraneous solution.

The solution is $x=4$ .

CD HI MN RS what's next?

Answers

Just look on the alphabet.

a b CD e f g HI j k l MN o p q RS t u v WX y z

We choose 2 letters, then skip 3 letters. So the next two letters are WX - the answer.

Weston completed a hypothesis test and found that he could not reject the null hypothesis. Which of the following is a valid reason for his conclusion? A.The z-statistic is less than 0.
B.The z-statistic lies in the critical region.
C.The z-statistic is greater than 0.
D.The z-statistic lies outside the critical region.

Answers

Answer: D.The z-statistic lies outside the critical region.

Step-by-step explanation:

When we run a hypothesis test , the result of that test will be a probability value. The probability value is represented by a “p value” .

It tells us if hypothesis statement is probably true or not.

If the value falls in the rejection region, it means you have statistically significant results; You can reject the null hypothesis.

If the p-value falls outside the rejection region, it means your results aren’t enough to throw out the null hypothesis.

Hence, if Weston ound that he could not reject the null hypothesis. The z-statistic lies outside the critical region would be the valid reason for his conclusion.

The right answer for the question that is being asked and shown above is that: "D.The z-statistic lies outside the critical region." Weston completed a hypothesis test and found that he could not reject the null hypothesis. A valid reason for his conclusion is that D.The z-statistic lies outside the critical region.

A standard number cube was rolled multiple times, and the results were recorded in the table above. What can be said about the experimental probability of rolling a four versus the theoretical probability of rolling a four?

Answers

They should ideally be the same. However, the difference is that the theoretical probability is what is expected to happen while the experimental probability is what happens in the actual scenario. The computation for both would be the same, and they should ideally be the same, unless other factors in an experiment would confound it.

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