!!PLEASE HELP ASAP!!<br><br> write in simplified radical form. assume all variables are nonnegative.

nataly862011 [7]

Answer. Option A. y>3x+2
Explanation. Because the line is dotted, we know it is a > equation. We know that in slope-intercept form, the mx stands for is the slope (rise over run), by looking at the graph, we find that the slope is in fact 3 (or 3/1). For the second part of the equation, we know it’s the y-intercept; therefore, option A is correct because the y-intercept is in fact 2. Hope this helps, let me know if it’s correct so others can use it :)
Good luck.

8 0

3 years ago

Michelle's father deposited $1,000 into a savings account when she was born. The annual interest rate is

prohojiy [21]

Answer:

Michelle's age = 16

Step-by-step explanation:

As we know,

Amount = $P (1 + r)^{t}$ where

P = Principal amount

r = rate of interest

t = time

Given ,

P = $1000

r = 4.5 % = $\frac{4.5}{100} = 0.045$

Now,

Given that Amount reaches more than $2000

⇒ $P (1 + r)^{t}$ > 2000

⇒ $1000(1 + 0.045)^{t}$ > 2000

⇒ $(1.045)^{t}$ > 2

Now,

we put the value of t from 0 , 1, 2, ..... untill the above equation does not satisfy

Now,

for t = 0

$(1.045)^{0} = 1 \ngeq 2$

for t = 1

$(1.045)^{1} = 1.045 \ngeq 2$

for t = 2

$(1.045)^{2} = 1.092 \ngeq 2$

for t = 3

$(1.045)^{3} = 1.14 \ngeq 2$

for t = 4

$(1.045)^{4} = 1.19 \ngeq 2$

for t = 5

$(1.045)^{5} = 1.25 \ngeq 2$

for t = 6

$(1.045)^{6} = 1.30 \ngeq 2$

for t = 7

$(1.045)^{7} = 1.36 \ngeq 2$

for t = 8

$(1.045)^{8} = 1.42 \ngeq 2$

for t = 9

$(1.045)^{9} = 1.48 \ngeq 2$

for t = 10

$(1.045)^{10} = 1.55 \ngeq 2$

for t = 11

$(1.045)^{11} = 1.62 \ngeq 2$

for t = 12

$(1.045)^{12} = 1.69 \ngeq 2$

for t = 13

$(1.045)^{13} = 1.77 \ngeq 2$

for t = 14

$(1.045)^{14} = 1.85 \ngeq 2$

for t = 15

$(1.045)^{15} = 1.93 \ngeq 2$

for t = 16

$(1.045)^{16} = 2.02 > 2$

It satisfies at t= 16

∴ we get

Michelle's age = 16

4 0

3 years ago

Write an irrational number that can be added to the irrational number the square root of 15 to get a rational sum of 2

aniked [119]

Answer:

Step-by-step explanation:

if u is an irrational number added to a rational number (sqrt 15) to yield 2, then that would mean u would = root -1.78.....

which means you wouldn't have a real solution. if you want a complex answer, it would be sqrt(1.78)i

7 0

3 years ago

SCALCET8 3.9.005.MI. A cylindrical tank with radius 5 m is being filled with water at a rate of 4 m3/min. How fast is the height

Lana71 [14]

Answer:

The height of the water is increasing at a rate of 0.05m/min.

Step-by-step explanation:

Volume of a cylinder:

The volume of a cylinder, with radius r and height h, is given by:

$V = \pi r^2h$

Radius 5 m

This means that $r = 5$ , and so:

$V = 25\pi h$

How fast is the height of the water increasing?

We have to differentiate V and h implictly in function of t. So

$\frac{dV}{dt} = 25\pi\frac{dh}{dt}$

Being filled with water at a rate of 4 m3/min

This means that $\frac{dV}{dt} = 4$ . The questions asks $\frac{dh}{dt}$ . So

$\frac{dV}{dt} = 25\pi\frac{dh}{dt}$

$4 = 25\pi\frac{dh}{dt}$

$\frac{dh}{dt} = \frac{4}{25\pi}$

$\frac{dh}{dt} = 0.05$

The height of the water is increasing at a rate of 0.05m/min.

8 0

3 years ago

How do you find the point of intersection of the two lines ?

Jobisdone [24]

You can find point of intersection by substitution method
if u solve both eq^n u will find the answer

7 0

4 years ago

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!!PLEASE HELP ASAP!! write in simplified radical form. assume all variables are nonnegative.