Answer:
<u>D) (f o g)(x) = 10x² - 60x + 93</u>
Step-by-step explanation:
f(x) = 10x² + 3
g(x) = x - 3
⇒ (f o g)(x)
⇒ f(x - 3)
⇒ f(x - 3) = 10(x - 3)² + 3
⇒ f(x - 3) = 10(x² - 6x + 9) + 3
⇒ f(x - 3) = 10x² - 60x + 90 + 3
⇒ <u>(f o g)(x) = 10x² - 60x + 93</u>
The annual returns will be calculated as follows:
a] Here we use the formula:
A=p(1+r/100)^n
A=future amount
p=principle
r=returns
n=time
We are given:
A=500, p=400, t=1
Plugging the values in the formula we obtain:
500=400(1+r)^1
simplifying and solving for r:
1.25=1+r
thus
r=1.25-1
r=0.25~25%
b] Using the formula above:
A=p(1+r/100)^n
A=2500+100=2600, p=2000, n=1 year
plugging the values in the equation we obtain:
2600=2000(1+r)^1
simplifying and solving for r we obtain:
2600/2000=1+r
1.3=1+r
hence
r=1.3-1
r=0.3~30%
the amount of money rick earned can be solve using the
formula:
F = P (1+ i)^n
Where F is the future money
P is the initial money
i is the interest rate
n is the time
F = 1000 ( 1 + 0.04)^10
F = $ 1,480.24
Sally
F = 1000 + (50)(10)
F = $ 1500
So the answer is D
Answer:
Antoinette's error
Option A) She distributed incorrectly.
Step-by-step explanation:
We are given the following information in the question:
Antoinette solves the linear equation
Antoinette made mistake in step 1 that is she did not distributed correctly.
If she would have distributed correctly, then she would have got the following solution:
Substituting x = -1 in the given equation, we gwt:
Antoinette's error
Option A) She distributed incorrectly.
Answer:
x = 33
y = 41
Step-by-step explanation:
GIven
x: number of nickels
y: number of quarters
A nickel = $0.05
A quarter = $0.25
then we have the system of equations
0.05*x + 0.25*y = 11.90
x + y = 74
Which can be solved applying any of known methods. Then, the solution is
x = 33
y = 41
hope this was helpful.
