The amount invested at 4% is $4,200. This problem can be solved by using two linear equation with two different variables which represent the investment's partition and the investment's return. The first equation is x+y=$7,600 and the second equation is 0.04x + 0.05y=$338, then you must substitute the y variable in the second question with the first equation (0.04x + 0.05($7,600-x)=$338). Therefore, you will get a new equation to solve the problem which is 0.04x+380-0.05x=338 resulting x=$4,200.
Answer:
2/3
Step-by-step explanation:
The gradient of any line in standard form, Ax + By = C is -A/B.
Divide each term by 3 and simplify.
3y = 2x - 6
3y / 3 = y
2x / 3 = 2/3x
6 / 3 = 2
So, y = 2 / 3 x - 2
slope or gradient = 2/3
Explanation:
The first step in finding the slope of a line that is written in standard form is to write the equation in slope-intercept form, y=mx+b. To do this, rearrange the variables. The standard form, Ax + By = C can be rewritten as By = -Ax + C.
Divide by B to simplify
In the equation By = -Ax + C, B needs to be distributed through the equation. To do this, divide both sides by B. The answer is y = (-A/B)x + C/B.
Find the slope
Once the equation of the line is in slope-intercept form and is simplified, then the slope equals the term in front of the x variable. In the standard form from step 2, the slope is -A/B.
You first put them all in order from least to greatest. Now, since 30 and 34 seem to be in the middle, write the number in between them: 30, 31, 32, 33, 34.
And you get your answer as 32. Hope this helped ;)
Use the sin(a - b) formula.
<span>sin(90 - x) = </span>
<span>sin90 cosx - cos90 sinx = </span>
<span>1 cosx - 0 sinx = </span>
cosx
Answer: You saved $145
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If you had paid what the ad said, you would have ended up paying $725. However, you actually ended up paying $580.
To find how much you saved, you find the difference between how much you could have paid and how much you actually paid by subtracting $580 from $725:
