If the interest on $2000 for 2 years is $320, then what is the interest rate?
1 answer:
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Answer:
• David
,• 4 miles
Explanation:
In the graph:
The given locations are:
• Owen's House, A(11,3)
,• David's House, B(15,13)
,• School, C(3,18)
We determine both Owen's and David's distance from the school using the distance formula.
Owen's distance from school (AC)
David's distance from school (BC)
We see from the calculations that David lives closer to the school, and by 4 miles.
The graph below is attached for further understanding:
Answers:
These are the statements that apply:
The initial value is 3.
The range is y >0.
The simplified base is 8.
Explanation:
1) Given expression:
2) Check every statement:
a) The initial value is 3?
initial value ⇒ x = 0 ⇒
∴ The statement is right.
b) The initial value is 48?
Not, as it was already proved that it is 3.
c) The domain is x > 0?
No, because the domain of the exponential functions is all the Real numbers.
d) The range is y > 0?
That is correct, the exponential function is continuous, and monotonon increasing.
The limit when x → - ∞ is zero, but y never reaches zero, and the limit when x → ∞ is + ∞, meaning that the range is y > 0.
e) The simplified base is 12?
This is how you simplify the base:
Which shows that the simplified base is 8 (not 12).
f) The simplified base is 8?
Yes; this was just proved.