Answer:
x = 13/6
Step-by-step explanation:
We are the following expression;
x - 2(2 - (3/2)*x) = 2(4 - x) + 1
x - (4 - 3*x) = 8 - 2*x + 1
x - 4 + 3*x = 8 - 2*x + 1
4*x + 2*x = 9 + 4
6*x = 13
x = 13/6
Answer:
C. 26
Step-by-step explanation:
Let’s suppose that the first question is worth ‘’x’’ amount of points. Then the second question will be worth x+4, the third question x+8, the fourth question x+12, the fifth x+ 16, the sixth x+20, the seventh x+24, the eighth x+ 28, the ninth x+ 32, and the last one x + 36.
The sum of the points of all these questions is equal to 10x + 180. Since the quiz has a total of 360 points, then
10x + 180 = 360.
Solving for x we get:
X = 18.
This means that the first question is worth 18 points, the second one 22 points (18 +4), the third one 26 points(18+4+4), and so on.
Scientific notation means the numbers have to be between 1 and 10, so here is the answer as well as where to move the decimal
Y=-5x+1
Slope intercept form is y=mx+b
m is slope and b is the y-intercept
The given formula is f(x) = 20(1.2)^x
The formula is the starting amount multiplied by 1 + the percentage raised to the number of weeks.
A) the percent increase is 20% ( 1.2 in the formula is 1 +20% as a decimal)
B) the original amount is $20
C) for 2 weeks, replace x with 2 and solve:
20(1.2)^2
20(1.44) = $28.80
After 2 weeks the coupon is $28.80
D) To solve for the number of weeks (x) set the equation equal to $100:
100 = 20(1.2)^x
Divide both sides by 20:
5 = 1.2^x
Take the natural logarithm of both sides:
ln(5) = ln(1.2^x)
Use the logarithm rule to remove the exponent:
ln(5) = x ln(1.2)
Divide both sides by ln(1.2)
x = ln(5) / ln(1.2)
Divide:
X = 8.83
At 8.83 weeks the coupon would be $100, so after 9 weeks the coupon would be greater than $100
The answer is 9 weeks.