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3 years ago

10

if the perpendicular drawn from any two vertices to their opposite sides of a triangle are equal prove that the triangle is an i

sosceles triangle

1 answer:

julsineya [31]3 years ago

3 0

Go and answer yourself is going to benificial for you hdhdjdjdb

Step-by-step explanation:

Put you pen in your hand and hold it titely and put in your

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For the following amount at the given interest rate compounded continuously, find (a) the future value after 9 years, (b) the

Stella [2.4K]

Answer:

(a) The future value after 9 years is $7142.49.

(b) The effective rate is $r_E=4.759 \:{\%}$ .

(c) The time to reach $13,000 is 21.88 years.

Step-by-step explanation:

The definition of Continuous Compounding is

If a deposit of $P$ dollars is invested at a rate of interest $r$ compounded continuously for $t$ years, the compound amount is

$A=Pe^{rt}$

(a) From the information given

$P=4700$

$r=4.65\%=\frac{4.65}{100} =0.0465$

$t=9 \:years$

Applying the above formula we get that

$A=4700e^{0.0465\cdot 9}\\A=7142.49$

The future value after 9 years is $7142.49.

(b) The effective rate is given by

$r_E=e^r-1$

Therefore,

$r_E=e^{0.0465}-1=0.04759\\r_E=4.759 \:{\%}$

(c) To find the time to reach $13,000, we must solve the equation

$13000=4700e^{0.0465\cdot t}$

$4700e^{0.0465t}=13000\\\\\frac{4700e^{0.0465t}}{4700}=\frac{13000}{4700}\\\\e^{0.0465t}=\frac{130}{47}\\\\\ln \left(e^{0.0465t}\right)=\ln \left(\frac{130}{47}\right)\\\\0.0465t\ln \left(e\right)=\ln \left(\frac{130}{47}\right)\\\\0.0465t=\ln \left(\frac{130}{47}\right)\\\\t=\frac{\ln \left(\frac{130}{47}\right)}{0.0465}\approx21.88$

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3 years ago

In the expression 2003-02-02-00-00_files/i0020000, the number 4 is called the __________.

elixir [45]

Base is the correct answer

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3 years ago

How do you get the equation of the line in fully simplified slope-intercept form?

Igoryamba

Answer:

y= -2/5 x -4

Step-by-step explanation:

So the equation is y=mx+b. Where m=slope and b=y-intercept. To find b, you would see at what point does the line cross the y axis. That would be at -4 so, -4 would be the b or y-intercept. To find m, you would take two points on the line and use this equation:

m=(y2 - y1 )/(x2 - x1)

If you were using the points, (-10,0) and (0, -4) the equation would be:

m=(-4-0) / (0+10)

So, m= -2/5

The equation of the line would end up being:

y= -2/5 x -4

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3 years ago

Describe the transformation of the graph of f into the graph of g as either a horizontal or vertical stretch.

balandron [24]

To properly visualize the given, we transform them into equation form rather than words.
f(x) = sqrt (x)
g(x) = 8(sqrt(x))
From these, it may be observed that g(x) is 8 times of f(x). These transformation is in the value of y and is scaling. Because it is multiplied by a a whole number, the transformation is vertical scaling that involves multiplying the y-coordinate by 8.

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3 years ago

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Mariulka [41]

Answer:

a=13m

Step-by-step explanation:

that's it in the picture

6 0

2 years ago

Read 2 more answers