Let x be the amount invested at 7% and y the amount invested at 6%
We know that the yearly interest earned = 0.07(x) and 0.06(y)
x+y =4500
0.07x +0.06 y =290
Solving the equations will give , x = $2,000 and y=$2,500
Answer:
(f+g)(x)=5x²-4x+3
(f-g)(x)=3x²-2x+3
(fg)(x)

Step-by-step explanation:
Given that,
f(x)=4x²-3x
g(x)=x²-x+3
(f+g)(x)
=f(x)+g(x)
=4x²-3x+x²-x+3
=(4x²+x²)+(-3x-x)+3 [ combined the like terms]
=5x²-4x+3
(f-g)(x)
=f(x)-g(x)
=4x²-3x-(x²-x+3)
=4x²-3x-x²+x-3
=(4x²-x²)+(-3x+x)-3 [ combined the like terms]
=3x²-2x+3
(fg)(x)
=f(x).g(x)
=(4x²-3x).(x²-x+3)
=4x²(x²-x+3)-3x(x²-x+3)






Answer:
46
Step-by-step explanation:
I don't feel like working it out/ maybe someone will give you the answer/ but basically you would set

and add it to

to equal 180( which is the degree of a line
so it looks like this:

and then solve( tell me if you need more clarification)
Using the normal distribution, it is found that a student has to score 1.08 standard deviations above the mean to be publicly recognized.
<h3>Normal Probability Distribution</h3>
In a normal distribution with mean
standard deviation
z-score of a measure X is given by:

- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
The top 14% of the scores are given by scores above the 86th percentile, which corresponds to Z = 1.08, hence, a student has to score 1.08 standard deviations above the mean to be publicly recognized.
More can be learned about the normal distribution at brainly.com/question/24663213