Answer:
Step-by-step explanation:
If angle C is the right angle, then side c is the hypotenuse.
Use Pythagoras' Theorem 
to find the length of side a:
Given:
<u>Tan Trig Ratio</u>
where:
is the angle- O is the side opposite the angle
- A is the side adjacent the angle
Given:
- = A
- O = side opposite angle A = a = 9
- A = side adjacent angle A = b = 2√22
Use the given values in the compound interest formula to solve for time, n.
A is the final amount of money, $2800
P is the initial or starting amount $1900
i is the interest rate as a decimal 0.025
n is time in years since it annual.
2800 = 1900(1 + 0.025)^n
2800 = 1900(1.025)^n
2800/1900 = (1.025)^n
28/19 = (1.025)^n
take the natural log of both sides to solve for exponent.
ln(28/19) = ln(1.025^n)
power rule of logarithmic moves exponent
ln(28/19) = n*ln(1.025)
ln(28/19) / ln(1.025) = n
put into a calculator
15.7 years = n
Answer:
4:10, 2:5 16:40
Step-by-step explanation:
just multiply or divide
2 gallons * $2.58 per gallon = $5.16 expenses (total spent)
2 gallons * 16 cups = 32 total servings
32 cups * $0.75 per cup = $24 gross revenue (total income)
$24 - $5.16 = $19.84 net revenue (profit)
Answer:
√97 units
Step-by-step explanation:
the distance between the two points in (-5,0) and (-9,9) is √97 units.
