Answer:
<h2>A. 4t² - 32t + 64</h2>
Step-by-step explanation:
Instead of x put (t - 3) in the equation of the function f(x) = 4x² - 8x + 4:
f(t - 3) = 4(t - 3)² - 8(t - 3) + 4
<em>use (a - b)² = a² - 2ab + b² and the distributive property a(b + c) = ab + ac</em>
f(t - 3) = 4(t² - (2)(t)(3) + 3²) + (-8)(t) + (-8)(-3) + 4
f(t - 3) = 4(t² - 6t + 9) - 8t + 24 + 4
f(t - 3) = (4)(t²) + (4)(-6t) + (4)(9) - 8t + 28
f(t - 3) = 4t² - 24t + 36 - 8t + 28
f(t - 3) = 4t² + (-24t - 8t) + (36 + 28)
f(t - 3) = 4t² - 32t + 64
Answer:
a = $31.23 per month
b = $20.83 per month
c = 249.98 = $249.98 interest charges
= $624-249.98 = 374.02 profit part decrease 8% inc.
d = 35.35%
e = Answer is in the name; basic payment is a contract which means whilst account remains open charges are requested without fail. Should balance be less or on zero, charges are still applied.
Step-by-step explanation:
2500 x 1.2499 = interest only for start month 13 =3124.75
3124.75/ 100 x 1.08 = 8% of this = 249.98 each year.
We only have to divide each by 12 to work out monthly individual charges and subtract to find out payments.
3124.75 - 249.98 = 2874.77 = Total after charges each year.
249.98/12 = 20.83 = monthly charges.
3124.75- 2500 = 624.75 payments each year
624.75/12 = 52.06 month 1 payment before charge
52.06-20.83 =31.23 total minimum payment
2500 + 249.98
Percentage = 200:600 = 1/3 33% + (comparing to ratio 10:25 closer to 40%)
We find ratio 200:600= 33.33 + 49.995/24.75 = 2.02
33+2.02 = 35.35%
Answer:
x=1/5
Step-by-step explanation:
To solve this question we will have to open the bracket first
So let's go back to the given question
-2(5x-1)+7(5x-1)-3(-5x+1)
We can actually equate the equation to zero
Let's solve
-10x+2+35x-7+15x-3=0
Let's collect like terms
-10x+35x+15x=-2+7+3
40x=8
Let's make x the subject of formula by dividing both sides by 40
x=1/5
So the final answer is 1/5
Answer: Linear equations in two variables. If a, b, and r are real numbers (and if a and b are not both equal to 0) then ax+by = r is called a linear equation in two variables. (The “two variables” are the x and the y.) The numbers a and b are called the coefficients of the equation ax+by = r.
Step-by-step explanation:
Answer: D 44
Step-by-step explanation: