Answer:
The interest charged is $7.49.
After 29 days, Travis paid a total of $607.49
Step-by-step explanation:
Travis obtained a cash advance for $600.
The interest rate is 0.04305% per day.
The simple interest rate formula is given by:
Where <em>I</em> is the interest, <em>P</em> is the initial amount, <em>r</em> is the rate, and <em>t</em> is the time (in this case in days).
Our initial amount <em>P</em> is $600.
Our interest rate <em>r</em> is 0.04305% or (moving the decimal two places to the left) 0.0004305.
Since Travis repaid the loan after 29 days, our <em>t</em> is 29.
Hence, our interest is:
So, the interest charged is about $7.49.
So, after 29 days, Travis paid a total of the original $600 plus an interest of $7.49 for a total of $607.49
Answer:
See the image below.
Step-by-step explanation:
The decimals 0.43 and 0.39 are equivalent to 43/100 and 39/100. These decimals lie between 0 and 1.
Draw a number line, mark off and label the multiples of 0.10(e.g 0.10, 0.20) in the interval 0-1.
Mark 0.43 between 0.4 and 0.5, a little closer to 0.4.
Mark 0.39 between 0.3 and 0.4, just behind 0.4.
Since 0.39 is smaller than 0.43( 0.39 lies on the left to 0.43), the inequality is:
0.39<0.43
Answer: 3.16 units (Option C)
Step-by-step explanation:
The key to this problem is to use the distance formula, which is:
Distance = 
The first point, T = (x₁,y₁), and the second point, U = (x₂,y₂).
Plugging the two points into the equation, we get:
Distance = 
The values within the parenthesis are subtracted:
Distance = 
The values are then squared:
Distance = 
Finally, they are added together:
Distance = 
can be approximated as 3.16, so the distance between the two points is 3.16 units.
Answer:
x = -4/7, y = 2/7
Step-by-step explanation:
Given: f(x) = 3x + 2 and g(x) = - 4x - 2
The point of intersection of the two functions is the point at which both functions intersect. We have to solve the functions simultaneously to get the solution.
f(x) = y = 3x + 2
y = 3x + 2 (1)
g(x) = y = -4x - 2
y = -4x - 2 (2)
Subtract equation 2 from equation 1:
0 = 7x + 4
7x = -4
x = -4/7
Put x = (-4/7) in y = 3x + 2:
y = 3(-4/7) + 2 = -12/7 + 2 = 2/7
