Answer:
Hypotenuse = 6
Step-by-step explanation:
Find attached diagram used in solving the question.
The triangle is a 45°-45°-90° triangle meaning it's two legs are equal. The opposite = adjacent
Since we are told to find hypotenuse, it means the length given = opposite = adjacent = 3√2
Hypotenuse ² = opposite ² + adjacent ²
Hypotenuse ² = (3√2)² + (3√2)²
Hypotenuse ² = 9(2)+9(2) = 18+18
Hypotenuse ² = 36
Hypotenuse = √36
Hypotenuse = 6
Answer:
Future value = $755.61 ( to the nearest cent)
Step-by-step explanation:
The formula for calculating the future value of an invested amount compounded periodically for a number of years is given as:
where:
FV = future value = ???
PV = present value = $575
r = interest rate in decimal = 5.5% = 0.055
n = number of compounding periods per year = quarterly = 4
t = time of investment = 5 years
∴
∴ Future value = $755.61 ( to the nearest cent)
Answer:
Up on the left, up on the right
Step-by-step explanation:
The given function is:
The degree of f(x) is 4 i.e. an even degree and the leading coefficient i.e. coefficient with highest powered variable is positive in sign.
The graph of a function with even degree always open on same side from both ends. This depends on the sign of leading coefficient what will be the direction of both ends. The positive sign indicates upward opening and negative sign indicates downward opening.
Since, the leading coefficient of f(x) is positive, it will open towards up from both right and left side. So, the correct option is the fourth option.