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navik [9.2K]
2 years ago
9

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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April has 5 milligrams of zinc and 0.25 milligrams of copper. How much more zinc does she have than copper?​
netineya [11]

Answer:

the answer is 4.75

Step-by-step explanation:

5-0.25=4.75

3 0
3 years ago
A coyote can run at top speed at 44 miles per hour how far can it run in 15 minutes
elena-14-01-66 [18.8K]
15 min is 1/4 of an hour so it can run 44x 1/4 or 44/4 =11miles in 15 min
7 0
3 years ago
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Janine inflated a ball to a radius of 18 cm and another ball to a radius of 12 cm.
Sladkaya [172]
Volume of a ball = (4/3)πr³

When r = 18cm, V = (4/3)×3.14×18³ =24416.64 cm³
When r = 12cm, V = (4/3)×3.14×12³ =7234.56 cm³
 Difference = 24416.64 - 7234.56 = 17182.08 cm³

the volume of air in the larger ball is <span>17182.08 cm³ greater than smaller ball </span>


3 0
3 years ago
Read 2 more answers
Someone do this got me rq
skelet666 [1.2K]

Answer:

The last listed functional expression:

\left \{ {x+1\,\,\,\,{x\geq 2} \atop {x+2 \,\,\,\,x

Step-by-step explanation:

It is important to notice that the two linear expressions that render such graph are parallel lines (same slope), and that the one valid for the left part of the domain, crosses the y-axis at the point (0,2), that is y = 2 when x = 0. On the other hand, if you prolong the line that describes the right hand side of the domain, that line will cross the y axis at a lower position than the previous one (0,1), that is y=1 when x = 0. This info gives us what the y-intercepts of the equations should be (the constant number that adds to the term in x in the equations: in the left section of the graph, the equation should have "x+2", while for the right section of the graph, the equation should have x+1.

It is also important to understand that the "solid" dot that is located in the region where the domain changes, (x=2) belongs to the domain on the right hand side of the graph, So, we are looking for a function definition that contains x+1 for the function, for the domain: x\geq 2.

Such definition is the one given last (bottom right) in your answer options.

\left \{ {x+1\,\,\,\,{x\geq 2} \atop {x+2 \,\,\,\,x

7 0
3 years ago
URGENT PLEASE !!!! Please answer correctly !!Will mark Brianliest !!!!!!!!!!
nirvana33 [79]

Answer:

Step-by-step explanation:

Square Root of 85

4 0
2 years ago
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