(-7)*(2/5 + (-3/7))
= -14/5 + 3
=1/5
Answer:
1) (6,2) (9,2) (3,8) (3,5)
2) (2,-5) (5,-5) (-1,-11) (-1,-8)
Step-by-step explanation:
For the first question, your reflecting over the x-axis into quadrant I, so you just need to make all the coordinates positive. The numbers stay the same - you just get rid of the negative signs. (6,2) (9,2) (3,8) (3,5)
For the second problem, you subtract 4 from the x-value, and 3 from the y-value.
(6,-2) becomes (2,-5)
(9,-2) becomes (5,-5)
(3,-8) becomes (-1,-11)
(3,-5) becomes (-1,-8)
Answer:
5,2
Step-by-step explanation:
Here, we want to find the point that is a solution to the system of inequalities
From what we have, the points that lie in the dark brown patch represent the solution to the system
Hence the coordinates lying in these parts are the solution to the system
An example of such coordinates is the point (5,2)
Answer:
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,
A = $235,000
P = $53,000
n = 1 because it was compounded once in a year.
t = 18 years
Therefore,.
235000 = 53000(1 + r/1)^1 × 18
235000/53000 = (1 + r)^18
4.43 = (1 + r)^18
Raising both sides to the power of 1/18, it becomes
4.43^(1/18) = (1 + r)^18 × 1/18
1.086 = 1 + r
r = 1.086 - 1
r = 0.086
r = 0.086 × 100 = 8.6%