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dedylja [7]
3 years ago
6

What is maximum value of y=cosx​

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
4 0

y=cosx has a maximum value of positive 1

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the equation of line cd is y = 3x − 3. write an equation of a line perpendicular to line cd in slope-intercept form that contain
liberstina [14]

Answer:

The required equation is y=-\frac{1}{3}x+2.

Step-by-step explanation:

The equation of line cd is

y=3x-3

Slope intercept form of a line is

y=mx+b

Where, m is slope and b is y-intercept.

Slope of line cd is 3.

The product of slopes of two perpendicular lines is -1.

m_1\times m_2=-1

3\times m_2=-1

m_2=-\frac{1}{3}

Therefore slope of perpendicular line is -\frac{1}{3}.

Point slope form of a line is

y-y_1=m(x-x_1)

Slope of perpendicular line is -\frac{1}{3} and line passing through the point (3,1).

y-1=-\frac{1}{3}(x-3)

y=-\frac{1}{3}x+1+1

y=-\frac{1}{3}x+2

Therefore the required equation is y=-\frac{1}{3}x+2.

4 0
3 years ago
Read 2 more answers
What is not a statistical question?
Aleksandr [31]

Answer:

3

Step-by-step explanation:

Because there is only one table and you are asking for only one answer

6 0
3 years ago
Ana has won a lottery. She was offered two options to receive the award: She can either take it in five installments of $60,000
AleksandrR [38]

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

She can either take it in five installments of $60,000 annually, starting from now; or she can take a lump-sum of $255,000 now.

<u>First, we determine the value of the 5 installments using a 5% annual compounded rate.</u>

We calculate the future value, and then the present value:

FV= {A*[(1+i)^n-1]}/i

A= annual payments

FV= {60,000*[(1.05^5) - 1]} / 0.05

FV= $331.537.88

PV= FV/(1+i)^n

PV= $259,768.60

At an annual rate of 5% compounded annually, she should choose the five installments instead of the $255,000.

<u>Now, if the annual rate is 6% continuously compounded.</u>

<u>First, we need to calculate the effective interest rate:</u>

r= e^i - 1

r= effective inerest rate

r= e^0.06 - 1

r= 0.0618

FV= {60,000*[(1.0618^5) - 1]} / 0.0618

FV= 339,443.23

PV= 339,443.23/1.0618^5

PV= $251,509.01

At an annual rate of 6% compounded continuously, she should choose the $255,000.

5 0
3 years ago
I have a right angle showing 1/6 how do I figure out what the rest of it equates to
alexgriva [62]
I would think of it as this but i could be wrong.
A right angle is 90 degrees and if you put 1/6 into a decimal it would be 6.
90-6<span>=84 
so 84 degrees is missing of the right angle.</span>
7 0
3 years ago
Read 2 more answers
Joel Bradley purchased a new cooler for his florist shop for $4,500. He wants to finance it with an installment loan from his ba
Bas_tet [7]

Answer:

62.22% I think.

Step-by-step explanation:

Have a good day.

5 0
2 years ago
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