Answer:
y = 4000/x²
Step-by-step explanation:
The volume of the building is expressed as;
V = x²y where;
x is the length and width of the base.
y is the height of the building
Given
Volume V = 4000m³
Substitute the given volume into the equation as shown;
4000 = x²y
Make y the subject of the formula by dividing both sides by x²
4000/x² = x²y/x²
4000/x² = y
Rearrange
y = 4000/x²
Hence equation for y, the height of the building, in terms of x, the length and width of the base is expressed as y = 4000/x²
A ratio of 11x to 10x
Where x is a number to keep the ratio the same.
Perimeter = 84
Perimeter = 2 (Length + breadth)
84 = 2 ( 11x + 10x)
84 = 2(21x)
21x = 42
x=2
So that means the actual length of the sides would be:
11 x 2 : 10 x 2
22 : 20
So that means the length can be 22, and the breadth will be 20.
Or the length is 20, and the breadth is 22.
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A traditional 401(k) is tax deferred because the income earned isn't taxed until the money is withdrawn.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.
<h3>You are correct. The answer is b = -6</h3>
The rules used here are
- (a^b)^c = a^(b*c) ... multiply exponents, base stays the same
- a^(-b) = 1/(a^b) .... use reciprocal to get the exponent positive
The first rule mentioned has us multiply the exponents b and 4 to get 4b. Then use the second rule to turn 1/(y^24) into y^(-24). So we can see that 4b = -24 leads to b = -6 after dividing both sides by 4.
Answer:
Explicit: -2*2^(n-1)
Recursive: 2*aₙ₋₁
Step-by-step explanation:
To write a explicit formula for this geometric sequence you follow the following formula/template
Firstnumber*commonratio^(n-1)
Seeing that the common ratio is 2 we can start plugging numbers in and get
-2*2^(n-1)
For a recursive formula we follow the following template
common ratio * the n-1 term
So we could write this as
2*aₙ₋₁
