Answer
Exponential function is in the form of :
.....[1]
where a is the initial amount and r is the growth rate and (1+r) is the growth factor.
Given the function: ![y = 12(1.05)^t](https://tex.z-dn.net/?f=y%20%3D%2012%281.05%29%5Et)
On comparing with equation [1] we have;
Initial amount(a) = 12
1+r = 1.05
Subtract 1 from both sides we get;
or 5%
Growth (r) = 0.05 or 5%
Now, evaluate the function for t = 5 we have;
Substitute the value of t=5 in the given function we have;
![y = 12(1.05)^{5}](https://tex.z-dn.net/?f=y%20%3D%2012%281.05%29%5E%7B5%7D)
![y = 12 \cdot 1.27628156 = 15.3153787](https://tex.z-dn.net/?f=y%20%3D%2012%20%5Ccdot%201.27628156%20%3D%2015.3153787)
Therefore, the value of function when t=5 to the nearest tenth is 15.3
Answer:
sqrt 50
Step-by-step explanation:
First of all this is a square so if AB = 5, then AD is also 5.
Let's get rid of the other triangle and only focus on triangle ABD.
Using Pythagorean theorem we are able to solve this problem.
The Pythagorean Theorem basically states that:
a^2 + b^2 = c^2
Where a and b are the legs and c is the hypotenuse, aka the thing that we are trying to solve for right now.
Substitute these numbers in: 5^2 + 5+2 = c^2
Solve: 50 = c^2
c= sqrt 50
^ and that is our answer!
Answer:
The distance is (2, 0)
Step-by-step explanation:
The first number is on the X axis. You move forward two places to get 7. The second number is on the Y axis, and you don't need to move anything so it stays the same. Hence the answer is a distance of two on the X axis.
140.66
you divide $422 by 3 to get $140.66