Answer:
Initial value = 4
Growth factor = 1.6
Step-by-step explanation:
Function representing the exponential growth is given by,
f(x) = Initial value(1 + growth rate)ˣ
Here x = time or duration for growth
(1 + growth rate) = Growth factor
Given function is,
f(x) = 4(1.6)ˣ
By comparing both the functions,
Initial value = 4
Growth factor = 1.6
Answer:
Option C. No solution is the right answer.
Step-by-step explanation:
Here the given equations are y = x²+2x+3 -----(1)
and y = 4x-2 -------(2)
Now we substitute the value of y from equation 2 into 1.
x²+2x+3 = 4x-2
x²+2x+3-2x = 4x-2-2x
x²+3 = 2x-2
x²+3-2x = 2x-2x-2
x²-2x+3 = -2
x²-2x+5 = 0
Then value of 


Since in this solution √(-20) is not defined. Therefore there is no solution.
Answer:
96 sq. cm.
Step-by-step explanation:
A "kite" has 2 diagonals, which are the "width" and "height" of the kite.
Using diagonals, the area of a kite is given by 
Where
A is the area
p,q are the width and height, respectively
From the problem given, p is 12 and q is 16, so the area is:

Thus, the area is 96 sq. cm
Answer:
The sum of the first 6 terms of the series is 504.
Step-by-step explanation:
Given that,
Common ratio in a geometric series is, r = 0.5
First term of the series, a = 256
We need to find the sum of the first 6 terms in the series. If a and r area the first term and common ratio of a series, then the series becomes:

The sum of n terms of a GP is given by :

Here, n = 6

So, the sum of the first 6 terms of the series is 504.
One necklace and bracelet set is equal to 6 1/9 inches + 3 1/3 inches. That makes the total amount of wire in one set to be 9 4/9 inches. If you divide 28 1/3 by 9 4/9, you get 3.
85/3 * 9/85 = 255/85 = 51/17 = 3
FINAL ANSWER: 3 jewelry sets