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frozen [14]
3 years ago
11

Pearp deposited 60 into a savings account for which interest is compounded monthly accodring to the rule of 72 what interest rat

e will cause her money to double in approximately 33 years
Mathematics
1 answer:
denpristay [2]3 years ago
7 0
According to the rule of 72, that rate will be 72/33 ≈ 2.18 percent.
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Find the equation of a line perpendicular to y - 12 = 2x – 8 that passes through the point (2, 3). (answer in slope-intercept fo
Alla [95]

Answer:

\displaystyle y=-\frac{1}{2}x+4

Step-by-step explanation:

<u>Equation of a Line</u>

We can find the equation of a line by using two sets of data. It can be a pair of ordered pairs, or the slope and a point, or the slope and the y-intercept, or many other combinations of appropriate data.

We are given a line

y - 12 = 2x -8

And are required to find a line perpendicular to that line. Let's find the slope of the given line. Solving for y

y = 2x +4

The coefficient of the x is the slope

m=2

The slope of the perpendicular line is the negative reciprocal of m, thus

\displaystyle m'=-\frac{1}{2}

We know the second line passes through (2,3). That is enough information to find the second equation:

y-y_o=m'(x-x_o)

\displaystyle y-3=-\frac{1}{2}(x-2)

Operating

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

Simplifying

\displaystyle y=-\frac{1}{2}x+4

That is the equation in slope-intercept form. Intercept: y=4

8 0
3 years ago
Can you help me with this​
Anit [1.1K]

Answer:

12 only.

Step-by-step explanation:

When the question is asking for f(0), it is asking for the value of <em>y </em>when x = 0.

We see that there is only 1 intersection at x = 0, and the y value would equal 12.

Therefore, our answer is 12 only.

8 0
3 years ago
Read 2 more answers
Let y(????)y(t) be a solution of y˙=17y(1−y7)y˙=17y(1−y7) such that y(0)=14y(0)=14. Determine lim????→[infinity]y(????)limt→[inf
shtirl [24]

Answer:

Step-by-step explanation:

Given that,

y' = 17y ( 1-y^7)

Let y=1

Then, y' = 0 for all t

Then show that it is the only stable equilibrium point so that as y→1, t→∞ with any initial value.

So, the graph solution will be

y(0) = 1 and this will be an horizontal line

If, y(0) > 1 then, y' < 0 by inspecting the first equation, so the graph is has decreasing solution.

Likewise, if y(0) < 1 then, y' > 0 and the graph is increasing.

So no matter the initial condition, graph of the solution will be asymptotic to the horizontal line above.

This make the limit be 1.

This shows that x = 1 is a stable equilibrium.

6 0
3 years ago
The cartesian equation, y = 4, is equivalent to the polar equation, _____.
jolli1 [7]
This is how you would solve the question.
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3 years ago
Get Geordi Through the Door geometry worksheet
Murljashka [212]

Answer:

what does that even mean'

Step-by-step explanation:

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