9514 1404 393
Answer:
f(g(x)) = 2/(x^2 +4x)
Step-by-step explanation:

Answer:
I'm pretty sure step 1 Is where he made the mistake
Answer:
(1,4)
x= 1
y= 4
(I checked on desmos and this is correct)
Step-by-step explanation:
I'm going to solve this by substitution
To do this we need to get a variable by istelf in any equation
We'll start with 18x-2y=10
We can add 2y and divide by 2 to get
y=9x-5
This is what y will equal for now and we can plug this in for y in the second equation
3x+16(9x-5)=67
This is rather easy to solve
147x-80=67
147x=147
this means that x=1
We can then use this value for x and plug it into any equation
let's just do the first one
18*1-2y=10
This is easy to solve as well and you should get
-2y=-8
y=4
this means that x=1
y=4
Answer:
The annual interest rate was 5.25%.
Step-by-step explanation:
Simple interest can be calculated using the following formula: I = PRT, where I=simple interest, P=principal amount, R=percentage rate and T=time. In this problem, Mona started with a principal amount of $2840, or P=2840 and invested for 6 years, or T=6, to gain simple interest in the amount of $894.60, or I=894.60. When we put in the values for our variables in the equation, we get: 894.60 = (2840)(6)R. Multiplying 2840 x 6 = 17040 and gives us: 894.60 = 17040R. Using inverse operations to isolate the variable, we divide both sides by 17040 to get R=0.0525. Since the rate is a percentage, we need to multiply our answer by 100 to get 5.25%.