Answer: The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. (In grammar school, you probably called the domain the replacement set and the range the solution set.
Step-by-step explanation:
Answer:
<em>y = 3x + 1</em>
Step-by-step explanation:
y = mx + b
The slope, or <em>m</em>, is 3.
The y-intercept, or <em>y</em>, is 1.
Plug them into the equation.
y = mx + b
<em>y = 3x + 1</em>
Answer:
P = 300
r = 0.15
n = 12
A(t) = 300(1.0125)^12t
Step-by-step explanation:
Given that:
Total credit taken for book purchase = $300
Annual Interest rate = 15% compounded monthly
Time or period = 4 years
P(1 + r/n)^nt
P in the expression above means the principal amount which is the total credit spent on book purchase = $300
r = annual interest rate on Emma's account = 15% = 15/100 = 0.15
n = number of compounding times per period ; loan which compounds monthly = number of months in a year = 12
Hence,
P = $300 ; r = 0.15 ; n = 12
Substituting into the equation :
P(1 + r/n)^nt
Simplified expression written in terms of t:
Final amount, A after t years
A(t) = 300(1 + 0.15/12)^12t
A(t) = 300(1 + 0.0125)^12t
A(t) = 300(1.0125)^12t
Answer:
6π units
Step-by-step explanation:
The circumference (C) of a circle is calculated as
C = 2πr ( r is the radius )
Since we only require one half of the circumference, then
0.5C = πr
given diameter = 12 then r = 12 ÷ 2 = 6, then
arc length = π × 6 = 6π units
6 - 600,000
5 - 50,000
4 - 4,000
3 - 300
2 - 20
1 - 1
Hope this helped!
