Answer:
$11,250
Step-by-step explanation:
Normally, when I work "mixture" problems, I like to choose the variable so it represents the amount of the largest contributor. Here, that would be the amount invested at 15%.
Unfortunately, the question asks for the amount invested at 7%. Using a variable to represent that amount means that there will be negative numbers involved. Care must be taken in the arithmetic.
Let x represent the amount invested at 7%. Then 16000-x is the amount invested at 15%. The total interest for one year is ...
0.07x + 0.15(16000 -x) = 1500 . . . . sum of interest amounts at each rate
-0.08x +2400 = 1500 . . simplify
-0.08x = -900 . . . . . . . . subtract 2400
x = 11250 . . . . . . . . . . . . divide by -0.08
The bank loaned $11,250 at 7%.
Answer:
4.5
Step-by-step explanation:
Answer: 13
Step-by-step explanation:
If the prior population proportion is unavailable then the formula to find the sample size is given by :-
, where z* = Critical z-value
E = margin of error
Let p be the proportion of Americans who support the gun control in 2018.
As per given , we have
Confidence level = 99%
The critical z-value for 99% confidence interval is 2.576 ( BY z-table)
Margin of error : E= 0.36
Since there no prior information about the proportion of Americans who support the gun control in 2018.
So , the required sample size to estimate 99% confidence interval would be:
Hence, 13 Americans should be surveyed.
Answer:
29
Step-by-step explanation:
5-(4*(6-12))=29
Answer: 66
Step-by-step explanation:
6+4^3-8÷2
4^3 = 64
6+64-8÷2
70-8÷2
70-4 = 66
