A recipe for cookies uses sugar and baking powder. The recipe uses uses 3/4 cups of sugar and 1/2 teaspoon of baking powder

You invested $4,200 into an account that pays an interest rate of 3.5% compounded continuously. What is the balance of your acco

nordsb [41]

Answer:

$A=\$5003.2$

Step-by-step explanation:

Use the exponential growth formula

$A = Pe ^ {rt}$

Where A is the final amount in the account, P is the initial amount, r is the growth rate and t is the time in years

In this problem

We know that

$P=4,200\\\\r=\frac{3.5\%}{100\%}= 0.035\\\\ t=5\ years$

So

$A = 4,200e^{0.035t}$

Finally after 5 years the balance of the account is:

$A=\$5003.2$

7 0

3 years ago

What is the value of f(x) = 2 .2 Xfor f(-2)?

andreyandreev [35.5K]

Answer:

f(x)= 2.2x

Step-by-step explanation:

y=2.2x

Now; interchanging the role of X and y;

x=2.2y

x-2.2=y

then;

f(-2)=-2-4=-6

8 0

3 years ago

In a survey of 155155 senior executives, 48.448.4% said that the most common job interview mistake is to have little or no kno

victus00 [196]

Answer:

We conclude that in the population of all senior executives, different from 40% say that the most common job interview mistake is to have little or no knowledge of the company.

Step-by-step explanation:

We are given that in a survey of 155 senior executives, 48.4% said that the most common job interview mistake is to have little or no knowledge of the company.

We have to use a 0.05 significance level to test the claim that in the population of all senior executives, 40% say that the most common job interview mistake is to have little or no knowledge of the company.

Let p = population proportion of senior executives who said that the most common job interview mistake is to have little or no knowledge of the company

So, Null Hypothesis, $H_0$ : p = 40% {means that in the population of all senior executives, 40% say that the most common job interview mistake is to have little or no knowledge of the company}

Alternate Hypothesis, $H_A$ : p $\neq$ 40% {means that in the population of all senior executives, different from 40% say that the most common job interview mistake is to have little or no knowledge of the company}

The test statistics that would be used here One-sample z test for proportions;

T.S. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of senior executives who said that the most common job interview mistake is to have little or no knowledge of the company = 48.4%

n = sample of senior executives = 155

So, the test statistics = $\frac{0.484-0.40}{\sqrt{\frac{0.484(1-0.484)}{155} } }$

= 2.09

The value of z test statistics is 2.09.

Also, P-value of the test statistics is given by;

P-value = P(Z > 2.09) = 1 - P(Z $\leq$ 2.09)

= 1 - 0.9817 = 0.0183

Now, at 0.05 significance level the z table gives critical values of -1.96 and 1.96 for two-tailed test.

Since our test statistic does not lie within the range of critical values of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that in the population of all senior executives, different from 40% say that the most common job interview mistake is to have little or no knowledge of the company.

4 0

4 years ago

Some restaurants display a glass bowl in which customers deposit their business cards, and a drawing is held once a week for a f

Bad White [126]

i think the answer is a

6 0

3 years ago

A square room in your house measures

djverab [1.8K]

A b c d e f g h
I j k you are beautiful

8 0

3 years ago