Answer:
Please check the explanation.
Step-by-step explanation:
Ascending Order:
When we talk about the numbers to be arranged in ascending order, it means the numbers need to be arranged from smallest to largest.
For example, if we have to arrange the numbers from 1 to 5 in ascending order.
It means, the ascending order will be: 1, 2, 3, 4, 5
Now, let us arrange the given numbers in ascending order.
a) 2234 to 2238 2234 2235 2236 2237 2238
b) 4099 to 4103 4099 4100 4101 4102 4103
c) 3298 to 3302 3298 3299 3300 3301 3302
d) 7269 to 7273 7269 7270 7271 7272 7273
e) 6354 to 6358 6354 6355 6356 6357 6358
f) 8379 to 8383 8379 8380 8381 8382 8383
g) 7365 to 7369 7365 7366 7367 7368 7369
Subtracting 7 and dividing by -3 on both sides shows us that y = -9
9x^2 -6x +1+12=0
9x^2 -6x +13=0
factorise
(3x-1)(3x-1) =0
so, x= 1/3
ANSWER
B. The functions f(x) and g(x) because f(g(x))=g(f(x))=x
EXPLANATION
The given functions are:

and

If f(x) and g(x) are inverses, then
f(g(x))=x


Expand the parenthesis to obtain,


Also,




Hence f(x) and g(x) are inverses
Answer:
Her account balance after 3 years is $4,246.71
Step-by-step explanation:
In this question, we are tasked with calculating what Hannah's account balance will be after 3 years and the error she made in her calculations
Mathematically, to calculate the account balance after 3 years, we use the formula for the compound interest as follows.
Mathematically, the amount A earned on a compound interest is calculated as
A = P
where A is the account balance after the number of years which is what we want to know
P is the initial amount invested which is $4000
r is the interest rate which is 2%(2/100 = 0.02) according to the question
n is the number of times interest is compounded per year which is 4(quarterly means every 3 months)
t is the number of years which is 3
We plug the values into the question;
A = 4000(1 + 0.02/4)^(3)(4)
A = 4000(1+0.005)^12
A = 4000(1.005)^12
A = $4,246.71
P.S ; I do not see Hannah's calculation and as such I cannot spot where she made the error in her calculations