1. Find the slope of the given line. Do this by solving <span>3x-7y+14=0 for m:
3x + 14 = 7y, which gives us m = 3/7.
2. Find the slope of a line perpendicular to this one. It's the negative reciprocal of m = 3/7, or -7/3.
</span>
Answer:
5
Step-by-step explanation:
I divided 
= 5
The simple interest equation that represent the situation is A = t/5
<h3>What is simple interest?</h3>
Simple Interest (S.I.) is the method of calculating the interest amount for a particular principal amount of money at some rate of interest. For example, when a person takes a loan of 500 dollars, at a rate of 10 per annum for two years, the person's interest for two years will be S.I. on the borrowed money.
Principal(P) borrowed = $2
Rate(R) in percentage = 10
time in years = t
Simple interest(A) = P X R X t / 100
A = 2 X 10 X t/ 100
After reducing 20/100 to the lowest term
A = t/5
In conclusion the simple interest(A) = t/5
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The complete sequence is<u> 24, 30, 36, 42, 48, 54, 60</u>
<h3>The nth term of an arithmetic progression</h3>
The nth term of an arithmetic progression is expressed according to the equation;
Tn = a + (n-1)d
where
a is the first term
n is the number of terms
d is the common difference
Determine the common difference
d = 42-b = b - 30
-b-b = -30-42
-2b = -72
b = 36
d = 36-30
d = 6
For the first term;
d = 30 - a
6 = 30 - a
a = 24
For the value of c
c = 42 + 6
c = 48
For the value of d
d = 48 + 6
d = 54
For the value of e
e = 54 + 6
e = 60
Hence the complete sequence is<u> 24, 30, 36, 42, 48, 54, 60</u>
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