Answer:
x=1
Step-by-step explanation:
if it is truly 9^(x-1)=27^(x-1), then you dont really need to use the quadratic fromula.
Answer:
The exponential equation is;
F = 30,000(1.01)^30
The value is;
$40,435.50
Step-by-step explanation:
Here, we are to write an exponential equation
Exponential equations generally take the form;
F = I(1 + r)^t
where F is the future value
I is the initial value
r is the growth percentage
t is the time
with respect to the question;
F = ?
I = 3,000
t = 30
r = 10% = 10/100 = 0.1
Writing the equation, we have
F = 30,000(1.+ 0.1)^30
F = 30,000(1.01)^30
F = $40,435.50
Step-by-step explanation:
<u>Missing reasons:</u>
- 1. Given
- 2. Definition of congruence
- 3. Linear pair postulate
- 4. Supplementary angles postulate
- 5. Definition of linear pair
- 6. Substitution property of equality
- 7. Supplementary angles postulate
Answer:
C.
A traditional 401(k) is tax deferred because the income earned isn't taxed until the money is withdrawn.
Explanation:
A traditional 401(k) retirement plan is one that is sponsored by an employer.
When employees contribute to this plan the income is not subject to tax. Taxation is deferred till the beneficiary wants to make withdrawal.
Withdrawals are taxed at the employee's current income tax rate.
On the other hand the other popular retirement plan is the Roth 401(k) plan. It is also sponsored by the employer.
One major difference is that the Roth 401(k) is not tax deferred but are made with after tax dollars. However interest, dividends, and capital gains are tax free.
we are given

We will use rational root theorem to find factors
We can see that
Leading coefficient =1
constant term is 6
so, we will find all possible factors of 6

now, we will check each terms
At x=-2:
We can use synthetic division
we get

so, x+2 will be factor
and we can write our expression from synthetic division as


now, we can find factor of remaining terms

we can use quadratic formula


we can compare our equation with quadratic equation
we get

now, we can plug these values




so, we get

so, we can write factor as

so, we get completely factored form as
...............Answer