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2 years ago

Advance Algebra Logarithm Task

Mathematics

1 answer:

valina [46]2 years ago

4 0

9514 1404 393

Answer:

3.65% monthly

Step-by-step explanation:

The same amount is invested for the same period in all accounts, so we only need to determine the effective annual rate in order to compare the accounts.

For compounding annual rate r n times per year, the effective annual rate is ...

(1 +r/n)^n -1

For the same rate r, larger values of n cause effective rate to be higher. As a consequence, we know that 3.65% compounded quarterly will not have as great a yield as 3.65% compounded monthly. The effective rate for the monthly compounding is ...

(1 +0.0365/12)^12 -1 = 3.712%

The effective rate for continuous compounding is ...

e^r -1

For a continuously compounded rate of 3.6%, the effective annual rate is ...

e^0.036 -1 = 3.666%

This tells us the best yield is in the account bearing 3.65% compounded monthly.

_____

If i is the effective annual rate of interest as computed by the methods above, then the 10-year account balance will be ...

10000×(1 +i)^10

This is the formula used in the spreadsheet to calculate the balances shown.

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Which point lies on the circle represented by the equation (x + 5)2 + (y − 9)2 = 82?

Virty [35]

Answer:

x = −y+45

Step-by-step explanation:

Step 1: Add -2y to both sides.

Step 2: Add 8 to both sides.

Step 3: Divide both sides by 2.

3 0

3 years ago

Is the answer option c?

Aleonysh [2.5K]

Answer:

yes

Step-by-step explanation:

f(x) = x^2 -1

Hope it helps!!

3 0

3 years ago

I need help ASAP! I will give your answer the brainiest answer

Korvikt [17]

This graph will start at (.5, 0) as the vertex.

To find this, all you need to do if find the point where inside the absolute value sign is equal to 0. Since the graph can never have a negative value, this will be the lowest point.

2x - 1 = 0

2x = 1

x = .5

From there, you can plot each point by going up two and to the left one.

Examples of Points: (1.5, 2) and (2.5, 4)

You can also plot the other side of the graph by going up two and to the right one.

These points can be found using the slope, which is the number attached to x (2).

Example of Points (-.5, 2) and (-1.5, 4).

8 0

3 years ago

Prove that if b is a square matrix then b+b^t is symmetric

WARRIOR [948]

A matrix $\mathbf X$ is symmetric if $\mathbf X=\mathbf X^\top$ . We have

$(\mathbf B+\mathbf B^\top)^\top=\mathbf B^\top+(\mathbf B^\top)^\top=\mathbf B^\top+\mathbf B=\mathbf B+\mathbf B^\top$

and so $\mathbf B+\mathbf B^\top$ is indeed symmetric.

6 0

3 years ago

Help on both please ! Im a new student at this school and didn't learn this

larisa86 [58]

For the first one, you have to convert the fractions to an improper fraction. To do that you need to multiply the bottom denominator number (3) by the whole number (1) then you need to add the numinator, so 3x1+2= 5. You have to keep the denominator so 1 2/3 is equal to 5/3. Then do the same to 2 1/5, and you get 11/5. Now you have to find a common denominator, that's basically the smallest number that both numbers can go Into, the lowest common denominator for 3 and 5 is 15. So 3x5= 15, so we have to multiply the top number by 5 which is 25. So 5/3 is equal to 25/15, then 5x3= 15, so you need to multiply 11 by 3 which is 33. So 11/5 is equal to 33/15. Then you add them. Add the numinators (25+33=58. Then you keep the denominator 15. So when u add it it's 58/15 then you need to simplify that and you get 3 13/15.

The second one you turn them into improper fractions like I told you how to before (multiply the bottom number by the whole number then add he top number, then add he same denominator.) do that for both. Then you line them right next to each other and multiply across. (I just realized that they were the same number so they are equal to 5/3 and 11/5)
Then you do 5x11 and you get 55 then do 3x5 and you get 15. 55/15 is your answer, but you need to simplify it, you need to divide 55 by 15, (not all the way just the first number) so you do 15x3 and that's 45, then you subtract that from 55, and you get 10, so then you take your denominator (15) and you answer is 3 10/15. But when you simplify it it's 3 and 2/3

Hope I helped sorry it's so long and sorry for any typos it's so long I didn't go back and check

5 0

3 years ago