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ANEK [815]
3 years ago
14

What is the slope and y-intercept of the equation: y=1/5x-1

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
5 0

Answer:

The slope is 1/5= rise/run

and y-intercepts is -1

Step-by-step

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Compound interest of $1000 is invested at 10% compounded continuously, the future value s at any time t in years is given by s=1
crimeas [40]

Answer: 6.93 years

Step-by-step explanation:

Given

Rate of interest is r=10\%

Future value is given by s=1000e^{0.1t}

For the investment to double itself, i.e. s=2000

\Rightarrow 2000=1000e^{0.1t}\\\Rightarrow 2=e^{0.1t}\\\\\text{Taking log both sides}\\\\\Rightarrow \ln 2=0.1t\\\\\Rightarrow t=\dfrac{\ln 2}{0.1}\\\\\Rightarrow t=6.93\ \text{years}

It takes around 6.93 years to double the investment.

8 0
2 years ago
Which statement best describes the value of the expression 42 - (20 +<br> 3)? *
ludmilkaskok [199]

Answer:

The bottom one: The value is the difference of 42 and the sum of 20 and 3.

Step-by-step explanation:

The answer is what you get when you subtract 23 from 42. Using "the difference" means subtraction is involved and you expression is 42 - (minus) (20+3).

5 0
3 years ago
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Help I just don’t know what I’m supposed to do?
Sidana [21]
Multiple each number I think
4 0
3 years ago
Fiona divided 3x2+5x-3 by 3x+2. The expression represents the remainder over the divisor.
Lera25 [3.4K]

Answer:

-5

Step-by-step explanation:

Shown in the attachment.

The remainder when 3x^2 +5x -3 is divided by 3x+2 is -5

4 0
3 years ago
Determine the coordinates of the point on the unit circle corresponding to the given central angle. If necessary round your resu
Olenka [21]

Answer:

Option A. (-1, 0)

Step-by-step explanation:

In the figure attached,

Circle O is a unit circle (having radius r = 1 unit)

If a point A with central angles = θ, is lying on the circle then the coordinates of the point A will be,

x = r.cosθ

x = 1.cosθ = cosθ

and y = r.sinθ

y = 1.sinθ = sinθ

Therefore, coordinates representing the point A will be (cosθ, sinθ).

As per question the given point A is lying at P (a point having central angle θ = 180°)

Coordinates of point P will be

(x', y') → (cos180°, sin180°)

        → (-1, 0)

Therefore, Option A will be the answer.

3 0
2 years ago
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