Answer:
.0025
Step-by-step explanation:
.25%/100=.0025
Answer:
$610,297.11
Step-by-step explanation:
The problem seems to make several assumptions:
- contributions are made at the end of each year
- contributions and employer matching funds are not taxed until retirement
- the 15% tax rate applies to the account balance amount at retirement
Of these, the last is least likely to be true in the United States.
___
Based on the assumptions above, we compute the amount from the future value of the series of contributions, then subtract 15% from that result.
FV = P·((1 +r)^n -1)/r . . . . where P is the amount of each payment, r is the annual interest rate, n is the number of payments.
The amount deposited each year is ...
$4770 + 0.60·4770 = $7630
Then the future value after 34 deposits is ...
FV = 7630·(1.055^34 -1)/0.055 ≈ 717,996.60
When this amount is reduced by the assumed 15% tax rate, it becomes ...
$717,996.60 - 0.15·717,996.60 = $610,297.11
The second leftover expression is not o(a+b). It is 6(a + b). I have attached the correct question to depict that.
Answer:
The equivalent expressions are;
8a + 2 and 6a + 6b
Step-by-step explanation:
The two leftover expressions are given as;
2(4x + 1) and 6(a + b)
In algebra, equivalent expressions are simply those expressions which when simplified, give the same resulting expression as the initial one.
Thus simply means expanding or collecting like times to make it clearer.
Now, in our question, like terms have already been collected. This means that to find an equivalent expression, we will just expand the bracket.
Thus;
2(4x + 1) will be expanded by using the 2 outside the bracket to multiply the terms inside the bracket. This gives;
8x + 2
Similarly,
6(a + b) will be expanded by using the 2 outside the bracket to multiply the terms inside the bracket. This gives;
6a + 6b
Thus;
The equivalent expressions are;
8a + 2 and 6a + 6b