Answer:
7.07
Step-by-step explanation:
Angle M is 63 degrees because all 3 angles must add to 180.
Now use the law of sines:
sin(90)/x = sin(63)/6.3
Cross multiply: 6.3 sin (90) = x sin (63)
Divide by sides by sin (63): (6.3 sin (90))/sin (63) = x
Use a calculator: 7.07
Answer: 55
Step-by-step explanation: you break it apart into 5*5 which is 25. You break 12 in half because you need to know how much the triangle area is. You get 6*5 which is 30. 30 and 25 added will get you answer 55.
(Make sure with others.)
Answer:
<em>It will take 9 years for the population to double</em>
Step-by-step explanation:
<u>Exponential Growth
</u>
The natural growth of some magnitudes can be modeled by the equation:
Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.
The population of a city grows at a rate of r=8% = 0.08 per year. We are required to find when (t) the population will double, or P=2Po.
Substituting in the equation:
Simplifying:
Taking logarithms:
Applying the exponent property of logs:
Solving for t:
Calculating:
It will take 9 years for the population to double
Answer: D
Step-by-step explanation:
We will try it to determine how much the need to save using the exponential function. In an exponential function,we need the start up amount and the common difference.
We know that the common difference is is 1.085 because if they will earn 8.5% interest plus 100% .
So 1.085 raised to the number of years times a number has to equal 250,000
x * 1.085^14 = 250,000 now solve for x
3.13340357495x = 250,000
x = 79785.44544 Rounded to the nearest cent is $79785.45
Answer:
Please explain more.
Step-by-step explanation:
