Answer:
Intial Value: f(t) = 2 , Exponential Growth
Step-by-step explanation:
To find the initial value, all we have to do is find the value of f(t) at t = 0
In this case the given equation becomes

from the law of indices we know that any number with the power 0 is equal to 1 (except 0 with the power 0)

hence the above equation becomes

so the initial value is 2.
To find out whether this is exponential growth or exponential decay we need to see whether the base value of the power t is less than 1 or greater than 1, i.e. from

is
> 1 or
< 1
if the value is greater, then with each increment in power, the total value will increase while if it is less than 1 then with each increment in power the total value will decrease.
Hence since
> 1 then this is an exponential growth
Answer:
A. y = 3x + 1
Step-by-step explanation:
y intercept is 1
gradient is
= 3
equation is y = 3x+1
Answer:
Part 1) The trapezoid has an area of 
Part 2) The kite has an area of
Part 3) The area of the trapezoid is less than the area of the kite
Step-by-step explanation:
Part 1
Find the area of trapezoid
we know that
The area of trapezoid is equal to the area of two congruent triangles plus the area of a rectangle
so
![A=2[\frac{1}{2} (2)(5)]+(2)(5)](https://tex.z-dn.net/?f=A%3D2%5B%5Cfrac%7B1%7D%7B2%7D%20%282%29%285%29%5D%2B%282%29%285%29)
Part 2
Find the area of the kite
we know that
The area of the kite is equal to the area of two congruent triangles
so
![A=2[\frac{1}{2} (7)(3)]=21\ m^2](https://tex.z-dn.net/?f=A%3D2%5B%5Cfrac%7B1%7D%7B2%7D%20%287%29%283%29%5D%3D21%5C%20m%5E2)
Part 3
Compare the areas
The trapezoid has an area of 
The kite has an area of
so

therefore
The area of the trapezoid is less than the area of the kite
Answer:
$6488.19
Step-by-step explanation:
To solve this problem we use the compounded interest formula:

a = $2600(1+(0.0675/1))¹*¹⁴
a = $6488.19