Answer:
The rate of change = 3
Initial value = 2
Step-by-step explanation:
The linear function has the form ⇒ y = mx + c
Where m is the slope or the rate of change, and c is y-intercept.
Given: A linear function passes through the point (1,5)and (7,23)
So, m = (y₂-y₁)/(x₂-x₁) = (23-5)/(7-1) = 18/6 = 3
So, y = 3x + c
By substitution with the point (1,5)
So, at x = 1 , y = 5
5 = 3*1 + c
c = 5 - 3 = 2
∴ y = 3x + 2
so, the rate of change = 3
And initial value = 2
initial value is the value at which x = 0 which is the y-intercept
Answer:
A. $29,045.68
B. $28,981.85
C. Compound daily applies interest everyday over a period of 365 days in a year. Compound annually only applies the 3% interest once a year.
Step-by-step explanation:
3% compounded daily:
A = P(1 + r/n)^nt
= 25000(1 + 
)^365(5)
= 25000(1.00008219)¹⁸²⁵
= 25000(1.161827)
= 29045.6770
3% compounded annually:
A = P(1 + r/n)^nt
= 25000(1 + 
)^1(5)
= 25000(1.03)⁵
= 25000(1.159274)
= 28981.8518
Answer:
0.5
Step-by-step explanation:
Circumference of a circle = 2πr.
Given, circumference = 3.14 meters.
Therefore,
2πr = Circumference of a circle
or, 2πr = 3.14.
or, 2 × 3.14r = 3.14,[Putting the value of pi (π) = 3.14].
or, 6.28r = 3.14.
or, r = 3.14/6.28.
or, r = 0.5.
