Answer:
I say C. Because 2 shows up twice for the bag of beans
Step-by-step explanation:
Answer:
$500 and $2000
Step-by-step explanation:
Let x represent the total investment = $2500
also, this total is split into two different funds
Lets represent these funds as a and b, such that fund a yields a profit of 3% and fund b yield a profit of 5%
So,
a + b = x
a + b = 2500 ......eq 1
Profit from each fund gives;
0.03 a + 0.05b = 115 ....eq 2
Solve simultaneously using substitution method
From eq 1;
b = 2500 - a
Slot in this value in eq 2
0.03a + 0.05 (2500 - a) = 115
expand
0.03a + 125 - 0.05a = 115
collect like terms
0.03a - 0.05a = 115 - 125
-0.02a = -10
Divide both sides by -0.02
a = $500
Put this value of a in eq 1
500 + b = 2500
Subtract 500 from both sides
b = 2500 - 500
b = $2000
Answer:
3)n×x^n-1
Step-by-step explanation:
<h2>Hello!</h2>
The answer is:
Ava and Kelly will be 3/4 mile apart after 0.375 hours.
<h2>Why?</h2>
To calculate when will Ava and Kelly be 3/4 mile apart, we need to write the equations for both Ava's and Kelly's positions.
Writing the equations we have:
For Ava:

For Kelly:
We need to calculate when Kelly will be 3/4 mile apart becase is running faster than Ava, so, writing the equation we have:

Now, substituting the equation for Ava into the equation for Kelly, we have:



To prove that the result is correct, we just need to substitute the obtained value for time into both equations, so, substutiting we have:
For Ava:

For Kelly:

There is a difference of 0.75 miles or 3/4 mile between Ava and Kelly, so, the obtained value for time is correct.
Therefore, we have that Ava and Kelly will be 3/4 mile apart after 0.375 hours.
Have a nice day!
Answer:
Step-by-step explanation:
Let p be the population proportion of readers who would like more coverage of local news.
As per given , we have
sample size :=1600
sample proportion : 
The confidence interval for population proportion is given by :-

From z-table ,
For 99% confidence interval the z-value is 2.576.
Substitute all the values in the above formula , we get
The 99% confidence interval for the proportion of readers who would like more coverage of local news as






Hence, the 99% confidence interval for the proportion of readers who would like more coverage of local news is
.