Answer:
based on the given formula the amount calculated is for the beginning of the year.
substituting 1 you get 4500 which is beginning of the year 1 when you deposited.
based on that logic substituting 7 for beginning of year 7 will be
4500 + 6 * 0.02 * 4500
4500 + 540
5040
option A.
Answer:
Graph the line using the slope and y-intercept, or two points.
Slope: -1/3
Y-Intercept: (0,1)
The factoring the equation (a + 1)² - 4b² we get (a+1+2b)(a+1-2b).
<h3>
What is the factoring function of (a + 1)² - 4 b²?</h3>
Given: (a + 1)² - 4b²
Apply Perfect Square Formula, and we get
(a + b)² = a² + 2 a b + b²
(a + 1)² = a² + 2a1+1²
= a² + 2a1 + 1² - 4 b²
simplifying the equation, we get
a² + 2a1 + 1² = a² + 2a + 1
= a² + 2a + 1 - 4b²
Factor, a² + 2a + 1 = (a + 1)²
= (a + 1)² - 4 b²
Simplify 4 b² = (2 b)²
= (a + 1)² - (2b)²
Apply the Difference of Two Squares Formula, and we get
x² - y² = (x + y)(x - y)
(a + 1)² - (2b)² = ((a + 1) + 2b)((a + 1) - 2 b)
simplifying the equation, we get
= ((a + 1) + 2b)(a + 1) - 2 b)
= (a + 1 + 2b)(a + 1 - 2b)
Therefore, the correct answer is (a+1+2b)(a+1-2b).
To learn more about factoring refer to:
brainly.com/question/25829061
#SPJ9
Disclamer: the following is confusing but I will transcribe what is going on in my head
3:4, 3+4=7
4:5, 4+5=9
hm
we can do fractions
3:4, 4 units is yellow
4/7 of all is yellow
4:5, 5/9 of all is yellow
all end is all-9
yellow intial=6+yellowfinal
yellowinitial=(4/7)all
(let's say all=x)
yi=(4/7)x
final=(5/9)(x-9)
yi=6+yf
(4/7)x=6+(5/9)(x-9)
times both sides by 63
36x=378+35(x-9)
distribute
36x=378+35x-315
36x=35x+63
minus 35x both sides
x=63
yellow=(4/7)(x)
yellow=(4/7)(63)
yellow=36
there wer 36 originally
Answer:
Given function:
f(t) = (-16t - 2)(t - 1)
<h3><u>Part 1</u></h3>
The zeros of the function are the values of t when f(t) = 0
⇒ f(t) = 0
⇒ (-16t - 2)(t - 1) = 0
⇒ (t - 1) = 0 ⇒ t = 1
⇒ (-16t - 2) = 0 ⇒ t = -2/16 = -1/8
<h3><u>Part 2</u></h3>
The zeroes tell us the time (in seconds) when the ball is at ground level (when its height is zero).
Since time is not negative, only one zero is meaningful: t = 1
Therefore, the total journey of the ball, from throwing it to it hitting the ground, is 1 second.
<h3><u>Part 3</u></h3>
The height the ball is thrown can be determined by inputting t = 0 into the function:
⇒ f(0) = (-16(0) - 2)(0 - 1)
⇒ f(0) = (0 - 2)(0 - 1)
⇒ f(0) = (-2)(-1)
⇒ f(0) = 2
Therefore, the height from which the beach ball is thrown is 2 ft.
