Answer:
$18,726.11
Step-by-step explanation:
Lets use the compound interest formula provided to solve this:
<em>P = initial balance</em>
<em>r = interest rate (decimal)</em>
<em>n = number of times compounded annually</em>
<em>t = time</em>
<em />
First lets change 9% into a decimal:
9% -> 
-> 0.09
Since the interest is compounded quarterly, we will use 4 for n. Lets plug in the values now:
<u>The balance after 5 years is $18,726.11</u>
Answer:
8 student tickets and 1 adult ticket
Step-by-step explanation:
5 times 8 is 40
40 plus 8 is 48
which gives you $48.00
Yes i believe they can have the same vertex
Answer:
The equation of the line is;
3y = 2x-8
Step-by-step explanation:
Firstly, we need the to get the slope of the given line
To do this, we will write the equation of the line in the standard form
the standard form
is;
y = mx + b
where m is the slope and b is the y-intercept
y -4 = 2/3(x-3)
y -4 = 2x/3 - 2
y = 2x/3 -2 + 4
y = 2x/3 + 2
with respect to the given equation, the slope of the line is 2/3
Mathematically, when two lines are parallel, the slopes of the line are equal
So now, we want to find the equation of the line that has a slope of 2/3 and passes through the point (1,-2)
so;
y = 2x/3 + b
So substitute the values of (1,-2)
1 for x and -2 for y
-2 = 2/3(1) + b
-2 = 2/3 + b
b = -2 - 2/3
b = (-6-2)/3 = -8/3
So the equation of that line is;
y = 2/3x - 8/3
Multiply through by 3
3y = 2x - 8
Answer:
Penelope travels 2 meters per second
Step-by-step explanation:
50/25 = ?/1
25 divided by 25= 1
(Whatever is done on the bottom is done on the top/ viceversa)
50 divided by 25 is 2
Hope this helps :)
