For the answer to the question above, <span>Well, first let us put up a functional equation. </span>
<span>Since this is an exponential function, it'll be: f(t)=54,000*1.03^t </span>
<span>But we want to know how many wolves there were 10 years ago. </span>
<span>For that, we simply "turn time around", as in: f(t)=54,00*1.03^-t </span>
<span>This displays a decreasing number of wolves, as you turn back time. </span>
<span>Now we simply calculate 54,000*1.03^-10 </span>
<span>which is approximately 40,200?</span>
Answer: the ordered pair is (-14,-6)
Step by step:
x – 2y = -2 (Eq. 1)
x – 4y = 10 (Eq. 2)
Isolate x in Eq. 2:
x = -2 + 2y
Substitute that solution x in Eq. 2:
x - 4y = 10
-2 + 2y - 4y = 10
Solve for y:
-2 - 2y = 10
-2y = 10 + 2 = 12
y = -6
Then calculate value for x using the above value for y
x = -2 + 2y
x = -2 + 2(-6) = -14
The solution is (x,y)=(-14,-6)
The amount she should invest today in the annuity is $455,450.40.
<h3>How much should be invested today?</h3>
The first step is to determine the future value of the monthly annuity.
Future value = monthly payment x annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
Where:
- r = interest rate = 3.6/12 = 0.3%
- n = number of periods : 15 x 12 = 180
Future value : 3250 x [(1.003^180) - 1] / 0.003 = 774,171.92
The second step is to determine the present value of this future annuity:
774, 171.92 / (1.036^15) = $455,450.40
To learn more about annuities, please check: brainly.com/question/24108530
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Answer: 393.2 units²
<u>Step-by-step explanation:</u>
Since you know the length of two sides and the measure of the included angle, you can use the following trig formula:

Given: a = 24, b = 40, C = 55°
