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pashok25 [27]
3 years ago
10

Write the slope-intercept form of the linear equation that has a slope of 3

Mathematics
1 answer:
Goshia [24]3 years ago
8 0

Answer:

y = 3x - 1

Step-by-step explanation:

Slope-intercept form: y = mx + b

m = slope

b = y-intercept

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Money Flow  The rate of a continuous money flow starts at $1000 and increases exponentially at 5% per year for 4 years. Find the
77julia77 [94]

Answer:

Present value =  $4,122.4

Accumulated amount = $4,742

Step-by-step explanation:

Data provided in the question:

Amount at the Start of money flow = $1,000

Increase in amount is exponentially at the rate of 5% per year

Time = 4 years

Interest rate = 3.5%  compounded continuously

Now,

Accumulated Value of the money flow = 1000e^{0.05t}

The present value of the money flow = \int\limits^4_0 {1000e^{0.05t}(e^{-0.035t})} \, dt

= 1000\int\limits^4_0 {e^{0.015t}} \, dt

= 1000\left [\frac{e^{0.015t}}{0.015} \right ]_0^4

= 1000\times\left [\frac{e^{0.015(4)}}{0.015} -\frac{e^{0.015(0)}}{0.015} \right]

= 1000 × [70.7891 - 66.6667]

= $4,122.4

Accumulated interest = e^{rt}\int\limits^4_0 {1000e^{0.05t}(e^{-0.035t}} \, dt

= e^{0.035\times4}\times4,122.4

= $4,742

8 0
3 years ago
What is 6x3/7 as a mixed number?
Anastaziya [24]
<span>6x3/7
6 x 3=18\7
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6 0
3 years ago
An archaeologist at a dig sets up a coordinate system using string. Two similar artifacts are found one at position (1, 4) and t
myrzilka [38]

Given:

Positions of two artifacts are at points (1, 4) and (5, 2).

To find:

The distance between these two artifacts.

Solution:

Distance formula: The distance between two points is

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Using distance formula, the distance between two points (1, 4) and (5, 2) is

d=\sqrt{(5-1)^2+(2-4)^2}

d=\sqrt{(4)^2+(-2)^2}

d=\sqrt{16+4}

d=\sqrt{20}

d=4.4721359

Round to the nearest tenth of a unit.

d\approx 4.5

Therefore, the distance between two artifacts is 4.5 units.

4 0
3 years ago
Help me with this pls
Rufina [12.5K]

Answer:

b^-6

Step-by-step explanation:

(b^-2) / (b^4) = b^(-2 - 4)

3 0
3 years ago
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A sample of 100 was taken from a population, with the mean of the sample
Elis [28]

Answer: I think the answer might be A

Step-by-step explanation:

3 0
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