(25000-f)(.03)+.05f=1100
750-.03f+.05f=1100
750+.02f=1100
.02f=350
f=$17500
So Mary invested $17500 @ 5% and 7500 at 3% to earn $1100 in interest.
Answer:
27
Step-by-step explanation:
substitute x = - 3, a = - 5 into the expression
- 4x - 3a
= - 4(- 3) - 3(- 5)
= 12 + 15
= 27
The first step to solving an equation like this is to find the slope of a line that will be perpendicular to the line given. The slope of a line that's perpendicular to another line is the negative reciprocal. The negative reciprocal of -1/5 is 5. So, so far our equation is y = 5x + b. Now, to find what b is equal to, we should substitute the values of x and y from the point (1,2) since we know that our line goes through the point. Our equation becomes:
2 = 5 + b
b= -3
That means that the equation of our new line is y = 5x - 3
The answer to the problem wherein a computer simulation tossed a 10-faced die 5 times and you have to compute for the possible outcomes is simple. The answer is <span>18,144, 000 possible outcomes (if it's a combination). I got this through simply getting the 10! (3,628,800) and multiplying it 5.
However, if order is important (permutation), the number of possible outcomes is is </span>30240.
Therefore the answer is √18
