Answer:
f(g(x)) = 4x² - 12x + 9
Step-by-step explanation:
Substitute x = g(x) into f(x) , that is
f(g(x))
= f(2x - 3)
= (2x - 3)² ← expand using FOIL
= 4x² - 12x + 9
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Answer:
x = 7000
y = 5600
(7000, 5600)
Step-by-step explanation:
To solve the system of equations means to find the point of intersection (graphically). You are finding what value of 'x' and what value of 'y' fits both equations.
x = y + 1400
0.08x + 0.05y = 840
We can solve using the method <u>substitution</u>, where you replace a variable in one equation with an equivalent expression.
<u>Since "x" is y + 1400, we can replace "x" in the second equation.</u>
0.08x + 0.05y = 840
0.08(y + 1400) + 0.05y = 840
Distribute over brackets by multiplying 0.08 with y, then 0.08 with 1400.
0.08y + 112 + 0.05y = 840 Collect like terms (with "y" variable)
112 + 0.13y = 840
Now isolate "y" in the simplified equation.
112 - 112 + 0.13y = 840 - 112 Subtract 112 from both sides
0.13y = 728
0.13y/0.13 = 728/0.13 Divide both sides by 0.13
y = 5600 Solved for y
We can substitute "y" with 5600 in any other equation that has "x".
x = y + 1400
x = 5600 + 1400 Add
x = 7000 Solved for x
You may express the answer as a coordinate, or an ordered pair (x, y).
The solution is (7000, 5600).
#4 a is 0.4 four tenths b is 0.40 forty hundredths you know cuz four tenths is equivalent to forty tenths and each square/unit equals 1 hundreth c is 4/10 or 40/100 or 2/5 d is either 0.4 or 0.40 #5 is you can say that decimals are fractions and are equivalent and you could write something like 29/100 is 0.29
Answer:
Jacinta will have more money
Step-by-step explanation:
- For the same amount of investment and interest rate, compound interest is greater with greater number of compounds.
- Continuous compound is closer to daily compound which makes more compounds and returns than quarterly compound.
The interest amount is provided below for quarterly and daily compound:
Jacinta will have more money
