Answer:
0.0847 = 8.47%
Step-by-step explanation:
Since 600 people are classified as Republicans, 400 people are classified as Democrats.
It can be calculated the number of people who voted for each party as follows:
Votes for Republicans = 600 (total Republicans) – 60 (Republicans who voted for the Democratic candidate) + 50 (Democrats who voted for the Republican candidate) = 590 votes
Votes for Democrats = 400 (total Democrats) – 50 (Democrats who voted for the Republican candidate) + 60 (Republicans who voted for the Democratic candidate) = 410 votes
A total of 590 people voted for the Republicans and 50 of those are Democrats. Thus, the probability that a person who voted for The Republican candidate is a Democrat can be calulated:
P = 50/590 = 0.0847 = 8.47%
Answer:
The principal required to accumulate interest of $ 1,008.00 on a rate of 4.5% per year for 7 years is $ 3200.
Step-by-step explanation:
Given:
Interest I = $ 1008
Time period t = 7 years
Rate of Interest per year r = 4.5% = 4.5/100 = 0.045
To determine:
Initial deposit P = ?
Using the simple interest formula
I = Prt
P = I / rt
P = 1008 / ( 0.045 × 7 )
P = $ 3200
Therefore, the principal required to accumulate interest of $ 1,008.00 on a rate of 4.5% per year for 7 years is $ 3200.
XY in cm
x-1+2x-1+2x-1=28
5x-3=28
5x=31
x=31/5
XY = (31/5×2-1) = (6.2×2-1) = 11.4 cm
Answer:
length = 12
width = 9
Step-by-step explanation:
We can use a system of linear equations to solve this problem. Lets make the variable L represent length and W represent width.
So we know that the length is 3 more than the width. An equation for this would be:
W = L - 3
We also know that the perimeter is 42 inches. The perimeter of a rectangle, using the variables L and W, is 2L + 2W, or 2(L + W). Using this, we can make the equation:
2(L + W) = 42
We can simplify the last equation by dividing both sides by 2:
L + W = 21
So now we have the two equations:
W = L - 3
L + W = 21
From here, there are multiple ways this question can be solved. I am going to use the substitution method here.
Knowing that W = L - 3, we can replace W in the second equation with L - 3.
L + L - 3 = 21
Add 3 to both sides.
2L = 24
Divide both sides by 2.
L = 12
Now we know that L = 12. Using this, we can replace L with 12 in the first equation to solve for W.
W = 12 - 3
W = 9
So:
L = length = 12
W = width = 9
I hope you find my answer helpful.
Answer:2x-1
Step-by-step explanation:
