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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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:

R-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:

r = 0.513.

Compute the value of the coefficient of determination as follows:

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