14 less than 8 times a number is 3 more than 4 times the number. What is the number?

What is the total amount that First Consumer Bank will receive after lending Jane $7,000 for three years at an interest rate of

nlexa [21]

In 3 years, you will have $8,103.38

Formula:

A = P (1 + r/n) ^(nt)

Where:

A = the future value of the investment/loan, including interest
P = the principal investment amount (the initial deposit or loan amount)
r = the annual interest rate (decimal)
n = the number of times that interest is compounded per year
t = the number of years the money is invested or borrowed for

7 0

2 years ago

Which of the following ordered pairs

ozzi

The ordered pairs that make this equation true is (4, 10)

A linear equation is given by:

y = mx + b;

where y, x are variables, m is the slope of the line and b is the y intercept.

Given the linear equation: y = 10x - 30:

At (1, -12): y = 10(1) - 30 = -20 ≠ -12

At (8, 1): y = 10(8) - 30 = 50 ≠ 1

At (4, 10): y = 10(4) - 30 = 10

At (6, 20): y = 10(6) - 30 = 30 ≠ 20

The ordered pairs that make this equation true is (4, 10)

Find out more at: brainly.com/question/13911928

5 0

3 years ago

HELP PLEASE! ONLY 5 MORE MINUTES! Look at the following shape below: Please find the PERIMETER of the following shape using the

Evgen [1.6K]

Answer:

The perimeter is $P=73.12\ cm$

Step-by-step explanation:

we know that

The perimeter of the figure is equal to the circumference of a semicircle

plus the perimeter of a square minus the diameter of the circle

so

$P=\pi r+4(b)-D$

we have

$r=8\ cm$

$b=16\ cm$

$D=16\ cm$

The diameter of the circle is equal to the length side of the square

substitute

$P=(3.14)(8)+4(16)-16$

$P=25.12+64-16$

$P=73.12\ cm$

7 0

3 years ago

Minor surgery on horses under field conditions requires a reliable short-term anesthetic producing good muscle relaxation, minim

andreev551 [17]

Answer:

$p_v =P(t_{74}$

If we compare the p value and a significance level for example $\alpha=0.1$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the true mean it's not significantly less than 20 min.

Step-by-step explanation:

Data given and notation

$\bar X=18.81$ represent the average lateral recumbency for the sample

$s=8.4$ represent the sample standard deviation

$n=75$ sample size

$\mu_o =20$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to apply a left tailed test.

What are H0 and Ha for this study?

Null hypothesis: $\mu \geq 20$

Alternative hypothesis : $\mu < 20$

Compute the test statistic

The statistic for this case is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{18.81-20}{\frac{8.4}{\sqrt{75}}}=-1.227$

The degrees of freedom are given by:

$df=n-1=75-1=74$

Give the appropriate conclusion for the test

Since is a one side left tailed test the p value would be:

$p_v =P(t_{74}$

Conclusion

If we compare the p value and a significance level for example $\alpha=0.1$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the true mean it's not significantly less than 20 min.

3 0

3 years ago

16x-5y=-33 solve the equation

LUCKY_DIMON [66]

16x - 5y = -33 First, you subtract 16x from both sides of the
-16x -16x equation
-5y = -16x -33 Next, you divide both sides of the equation by -5 to
-5 -5 make "y =" form
y = 16/5x + 33/5

3 0

2 years ago

14 less than 8 times a number is 3 more than 4 times the number. What is the number? ​

14 less than 8 times a number is 3 more than 4 times the number. What is the number?