Answer:
parallel : y = -3x + 3
perpendicular : y = 1/3x + 3
Step-by-step explanation:
rewrite 3x + y - 3 = 0
y = -3x + 3
parallel has the same slope
so
parallel : y = -3x + 3
perpendicular is negative reciprocal of the slope
so
-3x becomes 1/3x
so
perpendicular : y = 1/3x + 3
Answer:
a(87) = -590
Step-by-step explanation:
Notice how each term of this arithmetic sequence is equal to the sum of the previous term and the common difference, -12.
The general formula a(n) = a(1) + (n - 1)d becomes:
a(n) = 12 - 7(n - 1)
and the 87th term a(87) = 12 - 7(87 - 1), or
a(87) = 12 - 7(86)
a(87) = -590
Constants : 1 (the only constant term is 2)
Variables : 2 (x and y)
Terms : 3 ( x, y and 2)
Degree of term : 1
Answer:
The time it will take for the account balance to reach $3,726.18 is 15 months.
Step-by-step explanation:
The information provided is:
- Jaidee invests $2,628 in a retirement account
- With a fixed annual interest rate of 2.33%
- Compounded 12 times per year, i.e. compounded monthly.
- Final account balance: $3,726.18
The formula of compound interest (compounded monthly) is:
Compute the value of t as follows:
Thus, the time it will take for the account balance to reach $3,726.18 is 15 months.
9514 1404 393
Answer:
A. x = ±2
Step-by-step explanation:
Add 14, then take the square root.
x^2 -14 +14 = -10 +14
x^2 = 4
x = ±√4
x = ±2