The height of the kite above the ground will be 108.22m.
<h3>How to get the height?</h3>
From the information, the wind makes an angle of 56° to the ground and the kite is about 73m.
Therefore, the height of the kite above the ground will be:
Tan 56° = opposite/adjacent
1.48256 = x/73
x = 73 × 1.48256
x = 108.22m
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First off, you have to convert 8 minutes into seconds.
A minute is <em>60 seconds</em>, so multiply 60 by 8.
60×8=480
Now, change 10⁹ into a standard number. Since the number is 10 that is to have an exponent, the exponent, in this case 9, indicates how many zeros are in the standard number.
10⁹=1,000,000,000
So, multiply 480 by 1,000,000,000.
480×1,000,000,000=480,000,000,000
So, the answer is 480,000,000,000.
Answer:
Using continuous interest 6.83 years before she has $1600.
Using continuous compounding, 6.71 years.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit year and t is the time in years for which the money is invested or borrowed.
Continuous compounding:
The amount of money earned after t years in continuous interest is given by:

In which P(0) is the initial investment and r is the interest rate, as a decimal.
If Tanisha has $1000 to invest at 7% per annum compounded semiannually, how long will it be before she has $1600?
We have to find t for which
when 








Using continuous interest 6.83 years before she has $1600
If the compounding is continuous, how long will it be?
We have that 
Then







Using continuous compounding, 6.71 years.
Answer:
2
Step-by-step explanation:
Identify the coordinates as x1, y1 and x1, y2. Solve by using the formula of slope(gradient)