90 + 20x + 10x = 180
30x = 90
x = 3
9514 1404 393
Answer:
- $9,000 at 15%
- $4,000 at 10%
Step-by-step explanation:
Let x represent the amount borrowed at 15%. Then the amount borrowed at 10% is (13000-x). The interest at the end of the year is ...
0.15(x) + 0.10(13000 -x) = 1750
0.05x = 1750 -1300 . . . . . . . . . . . . simplify, subtract 1300
x = 450(20) = 9000 . . . . . . . . . . multiply by 20
$9,000 was borrowed at 15%; $4,000 was borrowed at 10%.
Answer:
The correct option is D. 2/7
Step-by-step explanation:
Consider the provided information.
There are 8 volunteers including Andrew and Karen, 4 people are to be selected at random to organize a charity event.
We need to determine the probability Andrew will be among the 4 volunteers selected and Karen will not.
We want to select Andrew and 3 others but not Karen in the group.
Thus, the number of ways to select 3 member out of 8-2=6
(We subtract 2 from 8 because Andrew is already selected and we don't want Karen to be selected, so subtract 2 from 8.)
The required probability is:
Hence, the correct option is D. 2/7
Answer:
y = 1/4x or y = 0.25x
Step-by-step explanation:
In this question, we are trying to write an equation with the given points.
To solve this question, we would use the slope formula: y2-y1/x2-x1
Find the slope by plugging in variables:
2-1/8-4
1/4 = m
The slope would be 1/4
Find the y intercept:
To find the y-intercept, you would need to use the slope you've found and one point, and plug it into the slope-intercept equation:
1 = 1/4(4) + b
Solve:
1 = 1/4(4) + b
1 = 1 + b
Subtract 1 from both sides
0 = b
This means that the y-intercept is 0.
Our equation will be: y = 1/4x
Set it up as an equation: 12 + 6x = 47
(x is the reduced fee)
12 + 6x = 47
12 - 12 + 6x = 47 - 12
6x = 35
x = 35/6
x = 5.83 repeating (only the 3 is repeating)
