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3 years ago

9

If you never pulled your money out of your account from the company in Question #4 and let it grow to age 60, how much money wou

ld be in your account? Show all your work.

1 answer:

Mariulka [41]3 years ago

8 0

Answer:

1

Step-by-step explanation:

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18. A set of data has a sample mean of 65.4 and a standard deviation of 1.2. If the sample size is 45, what is the 99% confidenc

Agata [3.3K]

Given:

Sample mean = 65.4

Standard deviation = 1.2

Sample size = 45

Confidence level = 99%

To find:

The confidence interval.

Solution:

The formula for confidence interval is

$CI=\overline{x}\pm z^*\dfrac{s}{\sqrt{n}}$

where, $\overline{x}$ is sample mean, z* is confidence value, s is standard deviation and n is sample size.

Confidence value or z-value at 99% = 2.58

Putting the given in the above formula, we get

$CI=65.4\pm 2.58\times \dfrac{1.2}{\sqrt{45}}$

$CI=65.4\pm 0.46$

$CI=65.4-0.46\text{ and }CI=65.4+0.46$

$CI=64.94\text{ and }65.86$

Therefore, the correct option is D.

5 0

3 years ago

Solve this equation pls

Aleksandr-060686 [28]

Answer:

${ \rm{y = \frac{3 \sqrt{x} + 2x}{ {4x}^{2} } }} \\$

• We are gonna use the quotient rule

${ \boxed{ \bf{ \frac{dy}{dx} = \frac{ {\huge{v} } \frac{du}{dx} - { \huge{u}} \frac{dv}{dx} }{ {v}^{2} } }}} \\$

u is (3√x + 2x)
v is 4x²
du/dx is 3/2√x
dv/dx is 8x

• Therefore:

${ \rm{ \frac{dy}{dx} = \frac{(4 {x}^{2})( \frac{3}{2 \sqrt{x} }) - (3 \sqrt{x} + 2x)(8x) }{16 {x}^{4} } }} \\ \\ { \rm{ \frac{dy}{dx} = \frac{(6 {x}^{2})( {x}^{ - \frac{1}{2} } ) - (24 {x}^{ \frac{3}{2} } + 16 {x}^{2} ) }{16 {x}^{4} } }} \\ \\ { \rm{ \frac{dy}{dx} = \frac{ 6 {x}^{ \frac{3}{2} } - {24x}^{ \frac{3}{2} } - {16x}^{2} }{16 {x}^{4} } }} \\ \\ { \rm{ \frac{dy}{dx} = \frac{ - 18 {x}^{ \frac{3}{2} } - 16 {x}^{2} }{16 {x}^{4} } }} \\ \\ { \rm{ \frac{dy}{dx} = - 2 {x}^{ \frac{3}{2} } (9 + 8 {x}^{ \frac{4}{3} } ) \div 16 {x}^{4} }} \\ \\ { \boxed{ \boxed{ \rm{ \: \: \frac{dy}{dx} = - \frac{8 \sqrt{ {x}^{ \frac{8}{3} }} + 9}{8x {}^{ \frac{8}{3} } } \: \: }}}}$

5 0

2 years ago

Read 2 more answers

On a test, 74% of the questions are answered correctly. If 111 questions are correct, how many questions are on the test?

Mashcka [7]

Answer:

150

Step-by-step explanation:

You have to divide the correct answers (111) by the total amount of questions (x) in order to find the 74% (0.74)

5 0

3 years ago

Read 2 more answers

PLEASE HELP WILL MARK BRAINLIEST

Harlamova29_29 [7]

WHERES THE QUESTION IT WONT SHOW UP ON MY SCREEN POST IT AGAIN

3 0

3 years ago

PLEASE HELP !!!!!!! For what value of x is line m parallel to line n? Enter your answer in the box. x = Line m is parallel to li

Sonja [21]

Answer:

$x=10$

Step-by-step explanation:

we know that

When two lines are crossed by another line (transversal), the angles in matching corners are called Corresponding Angles.

When the line are parallel the corresponding angles are equal in measurement.

so

In this problem

$(8x+50)\°=130\°$ -----> by corresponding angles

see the attached figure to better understand the problem

Solve for x

Subtract 50 both sides

$8x=130-50$

$8x=80$

Divide by 8 both sides

$x=80/8$

$x=10$

7 0

3 years ago