Answer:
29/100
Step-by-step explanation:
percent actually means per-hundred (cent is a.o. French for hundred).
The expression equivalent to 4^-5 • 3^-5 is 12^-5
<h3>What are equivalent expressions?</h3>
Equivalent expressions are simply known as expressions with the same solution but different arrangement.
Given the index expressions;
4^-5 • 3^-5
Using the exponent rule, the two values are have different bases but the same exponent and thus, we multiply the bases and leave the exponents the same way.
This can be written as;
4(3) ^ -5
expand the bracket
12^-5
Thus, the expression equivalent to 4^-5 • 3^-5 is 12^-5
Learn more about equivalent expressions here:
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Answer: If the time is 3 1/2 years (most reasonable assumption)
Her initial deposit was $160
Step-by-step explanation: The basic formula for simple interest is
<em>i = prt i </em>is interest, P is principal (deposit) r is the percentage (converted to a decimal) and t is time, the number of years.
For this question, you have to rearrange the equation to solve for p.
So divide both sides by rt and you have
p = i/rt
Substitute the values given
p = 36.40/(0.065)(3.5)
Answer:
Test statistic:
z = (0.67 - 0.63) / 0.033 = 1.21
p - Value = P(z > 1.21) = 0.106
My conclusion: Fail to reject null hypothesis
No, there is no evidence of a difference
Answer:
B. -6 does not belong to the domain but belongs to the range of f(x).
Step-by-step explanation:
We have the function,
.
So, the domain of the function is obtained when
i.e. 
That is, the domain is {x | x≥ 7}.
Now as we have,
→
→
→
→
.
That is, 
Thus, the range of the function f(x) is {y | y≤ 1}.
Thus, we can see that,
-6 does not belong to the domain but belongs to the range of f(x).