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:
<h2>
0.05543</h2>
Step-by-step explanation:
The formula for calculating the margin of error is expressed as;
where;
z is the z-score at 95% confidence = 1.96 (This is gotten from z-table)
p is the percentage probability of those that watched network news
p = 40% = 0.4
n is the sample size = 300
Substituting this values into the formula will give;
Hence, the margin of error for this survey if we want 95% confidence in our estimate of the percent of T.V. viewers who watch network news programs is approximately 0.05543
Answer: j = 8
Step-by-step explanation: To solve for <em>j</em> in this equation, we want to get <em>j</em> by itself on the left side of the equation. Since <em>j</em> is being multiplied by 5, to get <em>j</em> by itself, we need to divide by 5 on the left side of the equation. Since we divided by 5 on the left side, we must also divide by 5 on the right side.
On the left side, notice that the 5's cancel out so we are simply left with <em>j</em>. On the right side, we have 40 divided by 5 which gives us 8 so we have j = 8.
Finally, remember to check your answer by substituting an 8 back into the original equation. So we have 5 (8) = 40 which is a true statement so our answer checks. Remember to show all your work when solving equations.
Answer:
#3
Step-by-step explanation:
If the Jeans source jeans cost 25 dollars each then 1 = 25, 2=50, 3=75, and 4=100
