Answer:
(f o h)(x) = -10x + 32
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 2x³ + 8
h(x) = ∛(12 - 5x)
(f o h)(x) is f(h(x))
<u>Step 2: Find Composite Function</u>
- Substitute: (f o h)(x) = 2(∛(12 - 5x))³ + 8
- Evaluate: (f o h)(x) = 2(12 - 5x) + 8
- Distribute 2: (f o h)(x) = 24 - 10x + 8
- Combine like terms: (f o h)(x) = -10x + 32
And we have our final answer!
Answer:
Please read down below, thanks
Step-by-step explanation:
Vertical angles are always equal.
Because the two expression we have are equal, we can make the equation:
4x + 2 = 5x - 13
Let's move x to one side and the constants to the other side.
Subtract both sides by 4x and add both sides by 13
15 = x
Now we know x = 15, we can solve for the angles.
∠ABC is 4x + 2 so: 4(15) + 2 = 47 degrees
∠CBE added up with ∠ABC is 180 degrees so: 180 - 47 = 133 degrees
∠DBE is the same as ∠ABC so: 47 degrees
∠ABD is also the same as ∠CBE so: 133 degrees
Answer:
90
Step-by-step explanation:)
To obtain 
, sum the first 4 terms, using n = 1 to n = 4
= 6
+ 6
+ 6(2)² + 6(3)³
= (6 × 1) + (6 × 2) + (6 × 4) + (6 × 8)
= 6 + 12 + 24 + 48
= 90
Monthly payments, P = {R/12*A}/{1- (1+R/12)^-12n}
Where R = APR = 4.4% = 0.044, A = Amount borrowed = $60,000, n = Time the loan will be repaid
For 20 years, n = 20 years
P1 = {0.044/12*60000}/{1- (1+0.044/12)^-12*20} = $376.36
Total amount to be paid in 20 years, A1 = 376.36*20*12 = $90,326.30
For 3 years early, n = 17 year
P2 = {0.044/12*60,000}/{1-(1+0.044/12)^-12*17} = $418.22
Total amount to be paid in 17 years, A2 = 418.22*17*12 = $85,316.98
The saving when the loan is paid off 3 year early = A1-A2 = 90,326.30 - 85,316.98 = $5,009.32
Therefore, the approximate amount of savings is A. $4,516.32. This value is lower than the one calculated since the time of repaying the loan does not change. After 17 years, the borrower only clears the remaining amount of the principle amount.
Answer:
I don't know this answer.
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