For question 4, it would be a^2+b^2=c^2. So you would set up the equation as a^2+14^2=18^2. the third side would equal approximately 23cm.
The formula for the general term of the sequence is Tn = 4n - 2
<h3>How to determine the formula?</h3>
The sequence is given as:
{2, 6, 10, 14, 18, . . . }
The above sequence is an arithmetic sequence with the following features:
- First term, a = 2
- Common difference, d = 4 i.e. 6 - 2
The formula for the general term is calculated using:
Tn = a + (n - 1) * d
This gives
Tn= 2 + (n - 1) * 4
Expand
Tn = 2 + 4n - 4
Evaluate the like terms
Tn = 4n - 2
Hence, the formula for the general term of the sequence is Tn = 4n - 2
Read more about sequence at:
brainly.com/question/21961097
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X = 1, -5 ,,,,,,,,,,,,,,,,,,,,,,,
Answer:
$ 50,340.97
Step-by-step explanation:
From the above question, we can deduce that we are to find the Initial amount invested which is also called the Principal.
The formula to find Principal in a compound interest question is:
P = A / (1 + r/n)^nt
Where:
A = Total Amount obtained after invested = $80,000
r = Interest rate = 3.1% = 0.031
n = number of times interest in compounded = Quarterly = 4
t = time in years = 15
P = $80,000/(1 + 0.031/4)^4 × 15
P = $80,000/(1 +0.00775)^60
P = $ 50,340.97
Hence, James would have to invest $50,340.97 today to have $80,000 in 15 years.
Answer: 
Step-by-step explanation:
this forms a 30 degree reference angle
and this is in the 4th quadrant
When the angle is 30 degrees, the coordinates are:
