24 times 21 using the area model

Mathematics

1 answer:

AlladinOne [14]3 years ago

4 0

20. × 20

4. × 1
you also multiply 20×1 and 20×4 twice science both numbers are 20

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Helppppppppp

leva [86]

Answer: 14 feet. a. The Pythagorean theorem is a^2 + b^2 = c^2, where a and b are the sides of a right angle. By plugging in the sides of the wall, and solving for c, you can find the answer. 10^2 + 10^2 = c^2
| 100 + 100 = c^2 | 200 = c^2 | c = sqrt 200 | c = 14. The other way to solve this would be using the trig functions. You know that the angle between the hypotenuse and the wall side is 45 degrees, so you can use Sine to determine the hypotenuse. Sine is equal to opposite over hypotenuse. Sin (45) = 10/h | Sin (45) * h = 10 | h = 10/Sin (45) | h = 14. Both of the methods result in 14.

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The answer is x= 3.666 or 3 2/3

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if $4000 is invested in an account that pays interest compounded continuously, how long will it take to grow to $8000 at 7%?

Archy [21]

So, since it is continuously, we need to think of PERT

$A=P\times e^{rt}$

So, we just plug our numbers in to solve for T

$8000=4000e^{.07t}\\\ln(8000)=\ln(4000e^{.07t})\\\ln(8000) = \ln(4000) + \ln(e^{.07t})\\\ln(8000)=\ln(4000)+.07t\ln(e)\\\ln(8000)=\ln(4000)+.07t\\\frac{\ln(8000)}{\ln(4000)}=.07t\\\frac{\ln(8000)}{.07\ln(4000)}=t\\ 15.479=t$