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Rufina [12.5K]
3 years ago
8

Given the expression 350(1+0.05)^6, which number is a factor

Mathematics
2 answers:
solong [7]3 years ago
7 0
The answer is D or
350

Mashutka [201]3 years ago
4 0

Question:

The options are

A) 0.05 B) 1 C) 6 D) 350

Answer:

The correct option is;

D) 350

Step-by-step explanation:

In mathematics, a factor is a number or an algebraic expression that can divide another number such that only whole units of the of the original number remains.

Factorization is the expression of a number as the product of of other factors which are usually smaller to produce the number.

Example is 6×6  is the factorization of 36.

Therefore the possible factor of 350 × (1 + 0.05)⁶ is 350.

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A denotes an mn matrix. Determine whether the statement is true or false. Justify your answer. The row space of AT is the same a
ziro4ka [17]

Answer: true

Step-by-step explanation:

For an m*n matrix, the column space of A will be a space formed by the lineal combination of all the columns of A.

column space = a1*c1 + a2*c2 + ...

                       

where a1, a2, ... are scalars, and c1 is the vector of column 1.

Then we should write:

Column space = a1*(A₁₁, A₂₁, A₃₁, ...) + a2*(A₁₂, A₂₂, A₃₂, ...) + ...

Now, the transpose is defined as:

[At]₁₃ = A₃₁

Here i used the element with subindex 3 and 1, but is the same for every subindex.

Notice that if A is m*n, then [At] is n*m

Now, the row space of [At] will be, same as before.

Row space = b1*r1 + b2*r2 + ...

Where b1, b2, ... are scalars and the r's are the vector of each row.

                   = b1*( [At]₁₁ , [At]₁₂, [At]₁₃, ...) + b2*([At]₂₁, [At]₂₂, [At]₂₃, ...) + ...

Now we replace each term of the transpose by the associated element in the original matrix.

                   = b1*( A₁₁, A₂₁, A₃₁, ...) + b2*(A₂₁, A₂₂, ...) + ....

If we take:

b1 = a1, b2 = a2, b3 = a3, ...

We will have that the row space of [At] is the same as the column space of A.

4 0
2 years ago
Determine the length of PN and the value of y
e-lub [12.9K]

Answer:

Side PN=26

y=16

Step-by-step explanation:

I put a photo of my work. It’s easier to do that then to try and put it all in words

7 0
3 years ago
Help pleaseeee!!!!!!
coldgirl [10]

Answer:

18. 46

19. 0.7

22. 4 3/4

23. 54.5

26. 14

27. 11.5

31. 15

etc.

Step-by-step explanation:

absolute value means that the sign in front of the # doesn't matter, you just have to look at the positive value, for example:

absolute value of 46  =  46

absolute value of - 36 = 36

(imagine the sign in front of the # isn't there)

4 0
3 years ago
Suppose $1750 is put into an account that pays an annual rate of 4.5%
Yanka [14]

Answer:

The amount in the account after six years is $2,288.98

Step-by-step explanation:

In this question, we are asked to calculate the amount that will be in an account that has a principal that is compounded quarterly.

To calculate this amount, we use the formula below

A = P(1+r/n)^nt

Where P is the amount deposited which is $1,750

r is the rate which is 4.5% = 4.5/100 = 0.045

t is the number of years which is 6 years

n is the number of times per year, the interest is compounded which is 4(quarterly means every 3 months)

we plug these values into the equation

A = 1750( 1 + 0.045/4)^(4 * 6)

A = 1750( 1 + 0.01125)^24

A = 1750( 1.01125)^24

A = 2,288.98

The amount in the account after 6 years is $2,288.98

6 0
3 years ago
When solving the equation -2x = 14 . how would you solve for x?
77julia77 [94]

Answer:

Dividing -2 on both sides

Step-by-step explanation:

4 0
3 years ago
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