It
is given that the two figures are similar. This means that mV is equal to mN,
mW is equal to mO, and mX is equal to mP. The sum of the angles of a triangle
is equal to 180 degrees.
<span> mV + mW + mX = 180</span>
Substituting
the known variables and the conditions given in the description of the similar
triangles,
<span> 44 + mW + 66 = 180</span>
<span>The
value of mW in the equation is 70 degrees. </span>
Answer:
The best estimate of the solution ordered pair from the graph is 
.
Step-by-step explanation:
See the attached graph to this question.
The graph of two straight lines are shown in the graph.
Now, the two straight lines intersect on the x-axis, so the solution ordered pairs should have y-value equals to zero.
But, there are two ordered pairs with y-value zero and they are and 
.
The best estimate of the solution ordered pairs from the graph is .
So, this is the solution. (Answer)
Answer: it will take 13.3 years
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = 6000
A = 10000
r = 4% = 4/100 = 0.04
n = 12 because it was compounded 12 times in a year.
Therefore,.
10000 = 6000(1 + 0.04/12)^12 × t
10000/6000(1 + 0.0033)^12t
1.67 = 1.0033^12t
Taking log to base 10 of both sides, it becomes
Log 1.67 = 12tLog 1.0033
0.223 = 12t × 0.0014
0.223 = 0.0168t
t = 0.223/0.0168
t = 13.3 years
