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3 years ago

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Mathematics

1 answer:

attashe74 [19]3 years ago

3 0

Answer:

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Step-by-step explanation:

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A rectangle has vertices at these coordinates. (−6, 3), (−6, 5), (2, 3) What are the coordinates of the fourth vertex of the rec

Scilla [17]

Answer:

The coordinates of the fourth vertex of the rectangle is $(2,5)$

Step-by-step explanation:

Let

$A(-6,3), B(-6,5),C(2,3)$

using a graphing tool

Plot the vertices of the rectangle

The coordinates of point D will be the intersection point of the line parallel to AC that passes through the point B with the line parallel to AB that passes through the point C

The intersection point is $(2,5)$

see the attached figure

7 0

3 years ago

Suppose that you hold a two-asset portfolio consisting of 100 shares of clooney brothers at $33 per share and 100 shares of marx

Rina8888 [55]

<h3>Straightforward Solution</h3>

The long way around is to compute the return from each investment and relate the sum of those returns to the toal investment.

You have invested $33×100 = $3300 in clooney. You expect a return of 20%×$3300 = $660 on that investment.

You have invested $42×100 = $4200 in marx. You expect a return of 12%×$4200 = $504 on that investment.

Your total expected return is $660 + 504 = $1164. Your total investment is $3300 + 4200 = $7500. Thus, the return on your investment is expected to be

... $1164/$7500 = 0.1552 ≈ 15.5% . . . . matches choice a.

<h3>Alternative Solution</h3>

Since the same number of shares is involved in both investments, you can weight the expected return percentages by the ratio of share price to total of share prices:

expected return = (33/75)×20% + (42/75)×12%

... = 8.80% + 6.72% = 15.52%

6 0

3 years ago

What percent of the scores are between 67 and 85

Digiron [165]

85 is a <span>26.865671641791% higher than 67
Hope this helps!!
</span>

6 0

3 years ago

HELP ME PLS!!!!!!!!!!!!!!!!!!!

Advocard [28]

the number inside the parenthesis includes the interest rate ( annual percentage

looking at the possible functions, if you raise the interest rate to the power of 12, you would need to divide the number of years (t) by 12 as well

so the function could be rewritten as A=1000(1.023^12)^t/12

since the annual percentage rate is 2.3% ( 0.023)

divide 0.023/12*100 = 0.19% per month interest

4 0

3 years ago

2. Calculate an expression for dy/dx and d2y/dx2 in terms of t if the parametric pair is given as tan(x) = e^at and e^y = 1 + e^

Ber [7]

I assume a is a constant. If tan(x) = exp(at) (where exp(x) means eˣ), then differentiating both sides with respect to t gives

sec²(x) dx/dt = a exp(at)

Recall that

sec²(x) = 1 + tan²(x)

Then we have

(1 + tan²(x)) dx/dt = a exp(at)

(1 + exp(2at)) dx/dt = a exp(at)

dx/dt = a exp(at) / (1 + exp(2at))

If exp(y) = 1 + exp(2at), then differentiating with respect to t yields

exp(y) dy/dt = 2a exp(2at)

(1 + exp(2at)) dy/dt = 2a exp(2at)

dy/dt = 2a exp(2at) / (1 + exp(2at))

By the chain rule,

dy/dx = dy/dt • dt/dx = (dy/dt) / (dx/dt)

Then the first derivative is

dy/dx = (2a exp(2at) / (1 + exp(2at))) / (a exp(at) / (1 + exp(2at))

dy/dx = (2a exp(2at)) / (a exp(at))

dy/dx = 2 exp(at)

Since dy/dx is a function of t, if we differentiate dy/dx with respect to x, we have to use the chain rule again. Suppose we write

dy/dx = f(t)

By the chain rule, the derivative is

d²y/dx² = df/dx

d²y/dx² = df/dt • dt/dx

d²y/dx² = (df/dt) / (dx/dt)

d²y/dx² = 2a exp(at) / (a exp(at) / (1 + exp(2at)))

d²y/dx² = 2 (1 + exp(2at))

4 0

2 years ago