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dem82 [27]
3 years ago
10

Find the equation of the line in slope intercept for that is perpendicular to y=6x-1 and passes through the point (-6,18)

Mathematics
1 answer:
Anettt [7]3 years ago
7 0

Answer:

y = -x/6 + 17

Step-by-step explanation:

Step 1: find the slope

y = 6x - 1

Equation of a line is

y = mx + c.

m - slope

m = 6

Note : if two lines are perpendicular to the other, both lines are negative reciprocal of each other

m = -1/6

Step 2 : using a point slope form equation

y - y1 = m( x - x1)

( -6 , 18)

x1 = -6

y1 = 18

y - 18 = -1/6(x - (-6)

y - 18 = -1/6( x + 6)

y - 18 = -x - 6 / 6

y = (-x - 6)/6 + 18

LCM = 6

y = (-x - 6 + 108)/6

y = -x + 102 / 6

y = -x/6 + 102/6

y = -x/6 + 17

The equation of the line is

y = -x/6 + 17

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B) P(T) = 50

Step-by-step explanation:

A) P(T) = 30/120 = 1/4

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2 years ago
Name 5 fractions that are near 4/12 but not equivalent
kykrilka [37]
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3 0
3 years ago
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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