Answer:

Step-by-step explanation:
Let the exponential function be

We substitute (0,9) to get:



The equation now becomes:

We substitute (3,72) to get:



The equation is therefore

Answer:
(C)Determine the principal square root of both sides of the equation.
Step-by-step explanation:
Given: Isosceles right triangle XYZ (45°–45°–90° triangle)
To Prove: In a 45°–45°–90° triangle, the hypotenuse is
times the length of each leg.
Proof:

Because triangle XYZ is a right triangle, the side lengths must satisfy the Pythagorean theorem, 
Since a=b in an isosceles triangle:

Therefore, the next step is to Determine the principal square root of both sides of the equation.
Answer:
Step-by-step explanation:
The equation A = d(1.005)^12t modelling the value of Daniel’s investment shows a monthly compounded interest. This means that the interest is compounded 12 times in a year.
We can confirm by inputting the given values
t = 8 years
d = 509
Therefore,
A = 500(1.005)12 × 8
A = 500(1.005)^96
A = $807.07
Therefore, the true statements are
Increases
Exponential
Never Decrease
For this problem, we plug in the <em>numbers for t</em> and the <em>appropriate letters for e</em> to the equation <em>e = 300 - 10t</em>.
a) a = 300 - 10(-2)
simplify: a = 300 + 20
simplify: a = 320 ft.
But, this is not a viable point because when t≤0, she doesn't move anywhere, thus, should consistently be 300 ft.
b) b = 300 - 10(3.5)
simplify: b = 300 - 35
simplify: b = 265 ft.
c) c = 300 - 10(30)
simplify: c = 300 - 300
simplify: c = 0 ft.
There are about 28 grams in an ounce so 45/28 is about 1.5