Answer:
Account A: Decreasing at 8 % per year
Account B: Decreasing at 10.00 % per year
Account B shows the greater percentage change
Step-by-step explanation:
Part A: Percent change from exponential formula
f(x) = 9628(0.92)ˣ
The general formula for an exponential function is
y = ab^x, where
b = the base of the exponential function.
if b < 1, we have an exponential decay function.
ƒ(x) decreases as x increases.
Account A is decreasing each year.
We can rewrite the formula for an exponential decay function as:
y = a(1 – b)ˣ, where
1 – b = the decay factor
b = the percent change in decimal form
If we compare the two formulas, we find
0.92 = 1 - b
b = 1 - 0.92 = 0.08 = 8 %
The account is decreasing at an annual rate of 8 %.The account is decreasing at an annual rate of 10.00 %.
Account B recorded a greater percentage change in the amount of money over the previous year.
When we compute the value of a limit, all that we do is to change the value of the parameter
<span>lim x^3 = (2)^3= 2x2x2=8
</span><span>x approaches 2</span>
<h3>
Answer: y = 14</h3>
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Explanation:
The two angles involving x add up to 180 degrees. This is because they are same side interior angles (and because the horizontal lines are parallel)
So,
(angle BCF) + (angle EFC) = 180
(5x - 66) + (2x + 50) = 180
5x - 66 + 2x + 50 = 180
7x - 16 = 180
7x - 16+16 = 180+16 ... add 16 to both sides
7x = 196
7x/7 = 196/7 .... divide both sides by 7
x = 28
This will be used to help find y
Notice how the angles BCF and ACD are vertical angles, therefore they are congruent or the same measure
angle ACD = angle BCF
9y - 52 = 5x - 66
9y - 52 = 5*28 - 66 ..... replace x with 28 (since x = 28)
9y - 52 = 140 - 66
9y - 52 = 74
9y - 52+52 = 74+52 .... add 52 to both sides
9y = 126
9y/9 = 126/9 .... divide both sides by 9
y = 14
Step-by-step explanation:
X+3 =2X +1
X= 2
sides,,5,5 ,6 ft
perimeter = 5+5+6 = 16
Hundreds and tens....
I hope this helped
