Answer: 1460
Step-by-step explanation: I put it in a calculator.
Answer:
fg(2) = 9 means that f(g(2)) = 9
We know that g(2) = 6
So f(6) = 9 which means that
6a - b = 9 (note 1)
And we know that g(f(1/2)) = 2
And we know that f(1/2) = 1/2(a) - b
So g(1/2(a) - b) = 2
Meaning that 1/2(a) - b + 4 = 2
So 1/2(a) - b = - 2 (note 2)
Using note 1 and 2 we can solve the equation
11/2(a) = 11 so a = 2 and b = 3
Answer:
d = 69°, e = 32°, f = 79°
Step-by-step explanation:
the 69° angle and d are vertical angles, so d is 69°.
same with e and the 32° angle, so e is 32°.
the 69° angle and f are on a straight angle, which means they, and e, add up to 180° when combined.
69 + 32 = 101
180 - 101 = 79
so f is 79°.
Answer:
Step-by-step explanation:
Translate the verbal statements into a system of linear equations: Fatima invested a total of $1000 in two simple-interest bank accounts. One account paid 5% annual interest; the other paid 6% annual interest. The total amount of interest she earned after 1 year was $56
Simple interest formula =
I = PRT
We are to find the Amount = Principal invested
For Account 1
I1 = P × 5% × 1
= 0.05P
Account 2
I2 = P × 6% × 1
= 0.06P
Therefore:
0.05P + 0.06P = $56