Student's error is –5 < x.
Solution:
Step 1: Given inequality
31 < –5x + 6
Step 2: Subtract 6 from both sides of the inequality.
31 – 6 < –5x + 6 – 6
25 < –5x
Step 3: Multiply both sides by –1 to reverse the inequality.
25 × (–1) > –5x × (–1)
–25 > 5x
Step 4: Divide by 5 on both sides.
–5 > x
The correct answer is –5 > x.
Student's error is –5 < x.
If you round 38.85 to $39 then divide by 3 you'd get $13 each. This would be a little high since we rounded the 38.85 UP
Answer:
Exponential function is:
y = 100 (1.03)ˣ
Step-by-step explanation:
We know that the exponential growth function is of the form
y = a (1 + r)ˣ
Here:
a = initial value
r = growth rate
x = number of time intervals that have passed
Given that A new savings account is opened with 400. Thus,
a = 400
Given that a new saving account gains 3% every year.
r = 3% = 0.03
now substituting a = 400 and r = 0.03 in the function
y = a (1 + r)ˣ
y = 100 (1 + 0.03)ˣ
y = 100 (1.03)ˣ
Therefore, exponential function is:
y = 100 (1.03)ˣ
<em>Please note that the growth factor i.e. 1.03 is greater than 1, so the exponential function represents exponential growth.</em>
C
We can see that both triangles occupy exactly half of the rectangle each, so the area of one triangle is half of the area of the rectangle
