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Dahasolnce [82]
3 years ago
9

a line is perpendicular to y=-4x-2 and intersects the point (0,9). what is the equation for this perpendicular line?

Mathematics
1 answer:
AysviL [449]3 years ago
3 0

Answer:

y=(1/4)x + 9      OR      y=x/4 +9

Step-by-step explanation:

Perpendicular lines have a slope/gradient of -1/n

Because the slope of this line is -4, the slope of a line perpendicular to it would be 1/4.

y=(1/4)x+b

(0,9) is the y-intercept, so b = 9

y=(1/4)x + 9      OR      y=x/4 +9

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Assuming a​ 1-year, money market account investment at 2.55 percent​ (APY), a ​1.11 % inflation​ rate, a 28 percent marginal tax
vaieri [72.5K]

The after-tax rate of return is 1.84%, the real return is 0.721%, the total monetary return is $1530 and the implications become very challenging to grow with such a return as the taxes

Given that money market account investment at 2.55 percent​ (APY), a ​1.11 % inflation​ rate, a 28 percent marginal tax​ bracket, and a constant ​$60000 ​balance.

Cash management is the backbone of any business. Cash management ensures that the company operates according to established standards and optimizes the use of funds to avoid wasting resources. Liquidity management decisions are therefore key to preserving a company's capital and profitability.

Firstly, we will find the after-tax return rate, we get

After-tax return rate= Before tax rate of return \times ( 1 - tax rate)

After-tax rate of return = 0.0255× ( 1 - 0.28)

After-tax rate of return = 0.0255×0.72

After-tax rate of return=1.84%

Now, we will find the real return, we get

Real  return=((1+After-tax Return)/(1+inflation rate))-1

Real return=((1+0.0184)/(1+0.0111))-1

Real return=(1.0184/1.0111)-1

Real return=1.00721-1

Real return=0.721%

Furthermore, we will find the total monetary return, we get

Total monetary rate=Balance×Before tax rate of return

Total monetary rate=60000×2.55%

Total monetary rate=$1530.

The implications of this result for cash management​ decisions is that it becomes very challenging to grow with such a return as the taxes and inflation is draining the returns and leaving only with negative returns.

Hence, the after-tax rate of return is 1.84%, the real return is 0.721%, the total monetary return is $1530 and the implications become very challenging to grow with such a return as the taxes and inflation is draining the returns and leaving only with negative returns.

Learn more about the total monetary return from here brainly.com/question/1704210

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5 0
2 years ago
Assume that you have paired values consisting of heights​ (in inches) and weights​ (in lb) from 40 randomly selected men. The li
Over [174]

Answer:

The value of the coefficient of determination is 0.263 or 26.3%.

Step-by-step explanation:

<em>R</em>-squared is a statistical quantity that measures, just how near the values are to the fitted regression line. It is also known as the coefficient of determination.

A high R² value or an R² value approaching 1.0 would indicate a high degree of explanatory power.

The R-squared value is usually taken as “the percentage of dissimilarity in one variable explained by the other variable,” or “the percentage of dissimilarity shared between the two variables.”

The R² value is the square of the correlation coefficient.

The correlation coefficient between heights​ (in inches) and weights​ (in lb) of 40 randomly selected men is:

<em>r</em> = 0.513.

Compute the value of the coefficient of determination as follows:

R^{2}=(r)^{2}\\=(0.513)^{2}\\=0.263169\\\approx0.263

Thus, the value of the coefficient of determination is 0.263 or 26.3%.

This implies that the percentage of variation in the variable height explained by the variable weight is 26.3%.

3 0
3 years ago
Help ill Mark brainlist :)
Marianna [84]

Answer:

The area would be 40.5 cm ^2

Step-by-step explanation:

Well first you don’t gotta worry about some isosceles trapezoid thingy.

You just gotta know the formula for a trapezoid is (b1+b2)/2)h

B1 in this case is or base 1 (9 or 4.5)

b2 in this case is or base 2 (9 or 4.5)

(you can only choose one base for each)

ANd you add those 2 up and you’d get 13.5

13.5/2 which is 6.75

Now we multiply it by the height which is 6 and gte 40.5

40.5cm ^2 is the final answer

6 0
3 years ago
An equiangular triangle has one side of length six inches. What is the height of the triangle, drawn from that side, to the near
tino4ka555 [31]

Answer:

The height of the triangle is 5.2 inches

Step-by-step explanation:

we know that

An <u>equiangular triangle</u> is a triangle where all three interior angles are equal in measure

Remember that an equilateral triangle has three equal sides and three equal interior angles

so

An equiangular triangle Is the same that an equilateral triangle. The measure of its interior angles is equal to 60 degrees

Let

h ----> the height of triangle

b ---> the length side of the triangle

Applying Pythagoras Theorem

h^2=b^2-(b/2)^2

we have

b=6\ in

substitute

h^2=6^2-(6/2)^2

h^2=36-9

h^2=27

h=\sqrt{27}\ in

h=5.2\ in

see the attached figure to better understand the problem

5 0
3 years ago
What is 5 multiplied by 2
OleMash [197]
10.

5 multiplied by 2 "5 x 2" = 10
6 0
3 years ago
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