Answer:
18 grams.
Step-by-step explanation:
28/14 = 2 so we divide 72 by 2 twice
Answer:
3/4
Step-by-step explanation:
.74(75%) is equal to 75/100
The greatest common factor is 25, so divide 75 by 25 and 100 by 25.
75/25=3 100/25=4
So, 75/100 simplified is 3/4.
Answer:
a) OA = 1 unit
b) BC = 3 units
c) OD = 2 units
d) AC = 3√2 units
Step-by-step explanation:
Given function:
<h3><u>Part (a)</u></h3>
Point A is the x-intercept of the curve.
To find the <u>x-intercept</u> of the curve (when y = 0), set the function to zero and solve for x:
Therefore, A (1, 0) and so OA = 1 unit.
<h3><u>Part (b)</u></h3>
If OB = 2 units then B (-2, 0). Therefore, the x-value of Point C is x = -2.
To find the y-value of Point C, substitute x = -2 into the function:
Therefore, C (-2, -3) and so BC = 3 units.
<h3><u>Part (c)</u></h3>
<u>Asymptote</u>: a line that the curve gets infinitely close to, but never touches.
The y-value of Point D is the horizontal asymptote of the function.
The function is undefined when x = 0 and therefore when y = -2.
Therefore, D (0, -2) and so OD = 2 units.
<h3><u>Part (d)</u></h3>
From parts (a) and (c):
To find the length of AC, use the distance between two points formula:
Therefore:
Using simple interest, it is found that Devin will pay $60,125 altogether.
The amount paid in <u>simple interest</u> is:
In which:
- P is the principal.
- r is the interest rate, as a decimal.
- t is the time, in years.
In this problem:
- Owes $26,000 in student loans, thus
- Interest rate of 8.75%, thus
- Paid off in 15 years, thus .
The amount he will pay is of:
Devin will pay $60,125 altogether.
A similar problem is given at brainly.com/question/13176347