There's some unknown (but derivable) system of equations being modeled by the two lines in the given graph. (But we don't care what equations make up these lines.)
There's no solution to this particular system because the two lines are parallel.
How do we know they're parallel? Parallel lines have the same slope, and we can easily calculate the slope of these lines.
The line on the left passes through the points (-1, 0) and (0, -2), so it has slope
(-2 - 0)/(0 - (-1)) = -2/1 = -2
The line on the right passes through (0, 2) and (1, 0), so its slope is
(0 - 2)/(1 - 0) = -2/1 = -2
The slopes are equal, so the lines are parallel.
Why does this mean there is no solution? Graphically, a solution to the system is represented by an intersection of the lines. Parallel lines never intersect, so there is no solution.
39 times 3 and 15 times 3 then 27 times 2 then add together to get 216
Answer:
It will take 4.84 years
Step-by-step explanation:
The initial amount that Matt invested was $1669. It means that principal is
P = 1669
It was compounded 12 times per year. So
n = 12
The rate at which the principal was compounded is 2%. So
r = 2/100 = 0.02
The formula for compound interest is
A = P(1+r/n)^nt
A = total amount in the account at the end of t years.
A = 1,844.38
Therefore
1,844.38 = 1669(1+0.02/12)^(12×t)
1,844.38/1669 = (1.0017)^(12t)
1.1051 = (1.0017)^(12t)
Taking log to base 10 of both sides, it becomes
Log 1.1051 = log 1.0017^(12t)
Log 1.1051 = 12tlog 1.0017
0.043 = 0.00074 × 12t
0.043 = 0.00888t
t = 0.043/0.00888
t = 4.84 years
Answer:
<h2><em><u>
m = 20</u></em></h2><h2><em><u>
a = 48</u></em></h2><h2><em><u>
These are the answers.</u></em></h2>
Step-by-step explanation:
1. m/-8 = -2.5
*-8 = *-8
m = -2.5*-8
m = 2.5*8
<em><u>m = 20</u></em>
2. 7/8a = 42
*8 *8
7a = 336
/7 /7
a = 336/7
<em><u>a = 48</u></em>
<em><u></u></em>
Hope this helped,
Kavitha
I believe it will be at 10:10 because the least common multiple of 10 and 12 is 60 therefore you add 60 minutes to 9:10.
