What is the relationship between angle 8 and angle 4

If you invest $ 30 , 700 with an annual interest rate of 8.9 % , compounded daily, how much would you have at the end of 4 years

alexandr402 [8]

Answer: $43,823.37

Step-by-step explanation:

Formula to calculate the accumulated amount earned on principal (P) at rate of interest (r) compounded daily after t years :

$A=P(1+\dfrac{r}{365})^{365t}$

As per given , we have

P= $ 30,700

r= 8.9 % = 0.089

t= 4 years

$A=30700(1+\dfrac{0.089}{365})^{365(4)}\\\\=30700(1+0.0002438)^{365(4)}\\\\=30700(1.0002438)^{1460}\\\\=30700(1.42747138525)\\\\=43823.3715272\approx43823.37$

Hence, the amount at the end of 4 years would be $43,823.37 .

6 0

3 years ago

Find the edge of cube whose lateral surface area is 36cm2

belka [17]

Answer:

9cm

Step-by-step explanation:

4*s=36

s=36/4

s=9cm

4 0

3 years ago

A corporation randomly selects 150 salespeople and finds that 66% who have never taken a self- improvement course would like to

Citrus2011 [14]

Answer:

We conclude that there is no difference in the two population proportions using α = 0.05.

Step-by-step explanation:

We are given that a corporation randomly selects 150 salespeople and finds that 66% who have never taken a self- improvement course would like to do so.

The firm did a similar study 10 years ago and found that 70% of a random sample of 160 salespeople wanted a self-improvement course.

Let $p_1 (\pi_1)$ = true proportion of workers who would like to attend a self-improvement course in the recent study.

$p_2 (\pi_2)$ = true proportion of workers who would like to attend a self-improvement course in the past study.

SO, Null Hypothesis, $H_0$ : $p_1=p_2$ {means that there is no difference in the two population proportions}

Alternate Hypothesis, $H_A$ : $p_1\neq p_2$ {means that there is a difference in the two population proportions}

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

T.S. = $\frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} } }$ ~ N(0,1)

where, $\hat p_1$ = sample proportion of salespeople who would like to attend a self-improvement course in recent study = 66%

$\hat p_2$ = sample proportion of salespeople who would like to attend a self-improvement course in past study = 70%

$n_1$ = sample of salespeople in recent study = 150

$n_2$ = sample of salespeople in past study = 160

So, the test statistics = $\frac{(0.66-0.70)-(0)}{\sqrt{\frac{0.66(1-0.66)}{150}+\frac{0.70(1-0.70)}{160} } }$

= -0.755

The value of z test statistics is -0.755.

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 lies within the range of critical values of z, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that there is no difference in the two population proportions.

5 0

3 years ago

Twenty-five people split an inheritance equally. If each person receives no more than $500, could the total inheritance be $12,0

podryga [215]

Answer:480

Step-by-step explanation:

12,000 Divided by 25 = 480

3 0

3 years ago

What is the area, in square feet, of the shaded part of the rectangle below?

Luda [366]

Results
121 ft2
Square Footage = 121 ft2
Square Yards = 13.444444 Yd2
Square Meters = 11.241263 m2
Acres = 0.002778 acre

7 0

3 years ago