Answer: a)
b)
c)
d) 
Step-by-step explanation:
Since f is an exponential function.
So, it is expressed as

Here f is the present value
p is the initial value
r is the rate of growth per time period
t is the time period.
(a) b represents the 1-unit growth factor for f.

(b) c represents the n n-unit growth factor for f.

(c) d represents the m m-unit growth factor for f.

Write a formula that expresses c in terms of b.
Since
Hence, a)
b)
c)
d) 
Answer:
(n- 2/3)²
Step-by-step explanation:
- <em>Perfect square trinomial is: </em><em>a²+2ab+b²= (a+b)²</em>
We have:
It can be put as:
Here we consider n = a and -2/3 = b, then
Now we add 4/9 to a given binomial to make it perfect square:
- n² - 2×n×3/2 + 4/9= (n- 2/3)²
So, added 4/9 and got a perfect square (n- 2/3)²
Answer:
Step-by-step explanation:
Corresponding angles of both the squares are congruent. (angles of a square measure 90°)
Ratio of the sides of the given squares = 
= 
This ratio of side lengths is constant for all corresponding sides.
Therefore, corresponding sides are proportional.
Since, all angles of both the squares are congruent and all the sides are proportional, both the squares will be similar.
Scale factor = 
= 
= 2.5
This sequence of similarity transformations shows the figures are similar.
Answer:
£55.25
Step-by-step explanation:
Cost after reduction
=Cost before sale - Reduction in cost
= 85 - 35% of 85
= 85 - 0.35*85
= 85 - 29.75
= £55.25
Answer:
1920
Step-by-step explanation:
The volume of the rectangle is 1920.