I = Prt, where I = interest, P = principal, r = rate ant t = 1 year. So I = P1r1 + P2r2 If I = $780, P = $10,000. Let P1 = x, r1 = 9% (.09), P2 = 10,000 - x, and r2 = 7% (.07). 780 = .09x + .07(10000-x) 78000 = 9x + 7(10000-x) 78000...
I = Prt, where I = interest, P = principal, r = rate ant t = 1 year. So I = P1r1 + P2r2 If I = $780, P = $10,000. Let P1 = x, r1 = 9% (.09), P2 = 10,000 - x, and r2 = 7% (.07). 780 = .09x + .07(10000-x) 78000 = 9x + 7(10000-x) 78000...
Let x equal the number of hours worked and y = the total money earned. That makes the equation: y = 8.95x + commission So: y = 8.95(32) + 28.75. Solve for y.
Start by multiplying each of the 3 terms by 100. This becomes: 17 - (x + 2) = -3(3 - x) 17 - x - 2 = -9 + 3x 15 - x = -9 + 3x -4x = -24 x = 6
Let x = the number of pounds of $7 coffee. That means that the final coffee sold at $5 will be x + 30 pounds. 7x + 2(30) = 5(x + 30) 7x + 60 = 5x + 150. Solve this and you will get the answer. I hope that helps...
Let the number be x. Translate: 2x + 18 = x - 4. Subtract x from each side: x + 18 = -4. Subtract 18: x = -22. Check: 2(-22) + 18 = -44 + 18 = -26; -22 - 4 = -26.
Let t = time after lunch, and t-1 = time before lunch. Since she rode 96 miles for the total time, and 42 miles before lunch, she rode 96-42 or 54 miles after lunch. remember that distance equals rate times time, and therefore, r = d/t and the rates before and after...
OK. Let x = number packages delivered. She gets $57.50 each day, and $4.75 for each package. Therefore, if y = the amount she earns per day, y = 4.75x + 57.50. Let y = 200. How do you solve this problem? 200 = 4.75x...
Since you want to get the P alone, you will need to isolate it. Try multiplying both sides by T and dividing both sides by V.
logx2 = 1/2. Convert this to exponential form: x1/2 = 2, square both sides: (x1/2)2 = 22. This means that x = 22, or x = 4. Check: log42 = 1/2, 41/2 = √4 = 2.
Another way, using algebra, is to multiply numerator and denominator by the conjugate of the numerator, thus rationalizing the numerator. So the numerator multiplied by its conjugate: (√(5-x) - 1)(√(5-x) + 1) = (5 - x) - 1 = 5 - x - 1 = 4 - x. The...
((1/(h+2)2- 1/4)/h. Start by multiplying numerator and denominator by the LCD of the numerator, 4(h+2)2 This gives the following: (4 - (h+2)2)/(h(4(h+2)2). The numerator then is (4 - h2 - 4h - 4), when simplified, becomes -h2...
If two lines are parallel, the slopes are equal. The equation is written in slope y-intercept form, y = mx + b, where m = the slope and b = the y-intercept. So the slope of the line, and therefore, its parallel, is 1/2. So the equation of the new line is y...
The angle, θ, between the vectors can be found using the dot product divided by the product of the magnitude of the vectors. Cosθ = (a dot b)/(|a| times |b|). So cos 2π/3 = - .5 and (a dot b)/12 = -.5. That means a dot b = -6. Can you proceed from here?...
What the question is asking is to replace the x in g(x) with √x. Therefore, g(√x) = (√x)2 + √x. Therefore, g(√x) = x + √x.
This notation is called the interval notation, where the square bracket, [, indicates the number following can be equal to the variable, and the parenthesis indicates that it cannot. Therefore, in other notation, this interval is: -4≤x<0 or 10<x<21. In words,...
x/5 = 1/21, multiply both sides by 5. 5(x/5) = 5(1/21) x = 5/21
Another approach: x2 -1x - 72, find 2 factors of 72 whose difference is 1. (The reason I use the difference is because of -72. If the last term was positive, I'd use the sum.) The numbers are 9 and 8. try (x - 9)(x + 8); ...
There are two approaches: 1. The direct way is to subtract 28 from 58 to determine the number of blue cars, then divide that number by the total number and multiply by 100% to find the percent of blue cars. i.e. 58 - 28 = 30. 30/58 times 100%. 2...
-6(4-3x)-5x = -24+18x-5x = 13x-24
I believe the hairs are searching for water.