Solve for x. x/4 + 6 = 10
2 answers:
You might be interested in
Answer:
c = 37
Step-by-step explanation:
Pythagorean thm formula:
a² + b² = c²
Given:
a = 12
b = 35
Work:
a² + b² = c²
12² + 35² = c²
144 + 1225 = c²
c² = 1369
c = 37
Answer:
a) $1520
b) $209195
Step-by-step explanation:
The range of salaries forms an arithmetic sequence with the first term as 25325 and its 7th term as 34445:
a) The raise the person can get each year is the common difference of the progression, d.
The nth term of an arithmetic progression is given generally as:
where a = first term = 25325
d = common difference
Therefore, the 7th term (34445) will be:
34445 = 25325 + (7 - 1)d
34445 = 25325 + 6d
=> 6d = 34445 - 25325 = 9120
d = 9120 / 6 = $1520
Therefore, the raise the person gets each year (common difference) is $1520.
b) The total amount the person will earn after 7 years is the sum of the salaries of all 7 yeas.
The sum of an arithmetic progression up to the nth term is given as:
Therefore, the sum of the person's salary for the 7 years is:
$209195
That is the total amount of salary after 7 years