Answer:
11.1 years
Step-by-step explanation:
The formula for interest compounding continuously is:

Where A(t) is the amount after the compounding, P is the initial deposit, r is the interest rate in decimal form, and t is the time in years. Filling in what we have looks like this:

We will simplify this first a bit by dividing 2000 by 1150 to get

To get that t out the exponential position it is currently in we have to take the natural log of both sides. Since a natural log has a base of e, taking the natual log of e cancels both of them out. They "undo" each other, for lack of a better way to explain it. That leaves us with
ln(1.739130435)=.05t
Taking the natural log of that decimal on our calculator gives us
.5533852383=.05t
Now divide both sides by .05 to get t = 11.06770477 which rounds to 11.1 years.
Exponential functions are known to increase geometrically. An example of exponential function is p(x) = 500(1.02)^x
<h3>Exponential functions</h3>
Exponential functions are known to increase geometrically. The standard exponential function is given as:
y = ab^x
a is the base
x is the exponent
From the given options, the function written in this form is
p(x) = 500(1.02)^x. Hence an example of exponential function is
p(x) = 500(1.02)^x
Learn more on exponential function here: brainly.com/question/12940982
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The slope of function A is the coefficient of x, which is 6.
The slope of function B is the rise divided by the run, which is 3/1 = 3.
The appropriate choice is ...
... c) Slope of Function A = 2×Slope of Function B
Answer:
<em> </em><em>-</em><em>1</em>
Step-by-step explanation:
<em>here's</em><em> your</em><em> solution</em>
<em> </em><em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em>The </em><em>value</em><em> of</em><em> x</em><em> </em><em>=</em><em> </em><em>1</em>
<em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em>The </em><em>value</em><em> of</em><em> </em><em>y </em><em>=</em><em> </em><em>2</em>
<em> </em><em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em>we </em><em>need</em><em> to</em><em> find</em><em> </em><em>(</em><em> </em><em>x </em><em>-</em><em> </em><em>y)</em>
<em> </em><em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em>so,</em><em> </em><em>put </em><em>the </em><em>value </em><em>of </em><em>above</em><em> </em><em>variables</em><em> </em><em>in </em><em>it</em>
<em> </em><em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em>hence</em><em>,</em><em> </em><em>(</em><em>1</em><em> </em><em>-</em><em> </em><em>2</em><em>)</em><em> </em><em>=</em><em> </em><em>-</em><em> </em><em>1</em>
<em> </em><em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em>-</em><em> </em><em>1</em><em> </em><em>is </em><em>correct</em><em> answer</em>
<em> </em><em> </em><em> </em><em> </em><em> </em><em>hope</em><em> it</em><em> helps</em>
I’m not sure if you want the answer or how to do i’ll just give you both.
multiply the bottom by -4. then it should look like:
8x-6y=-6
-8x+16y=56
then cancel out the x’s and add/subtract the others, giving you: -2y=50. then divide 50 by -2 giving you: y=-25. then find x. plug in y to one of the equations. i usually do the one that hasn’t been messed with. 8x-6(25)=-6. then solve it like a normal two-step equation.
so the answer is: (18,-25)