Answer:
the base of the ladder is 27.89 ft away from the building
Step-by-step explanation:
Notice that this situation can be represented with a right angle triangle. The right angle being that made between the ground and the building, the ladder (32 ft long) being the hypotenuse of the triangle, the acute angle of 
being adjacent to the unknown side we are asked about (x). So, we can use the cosine function to solve this:
which rounded to the nearest hundredth gives;
x = 27.89 ft
Answer:
The value of this inheritance is $78,192.28
Step-by-step explanation:
The monthly payments Sara will receive starting today for next 40 years is $500.
Annual Interest Rate = 7.3%
Monthly Interest Rate = Annual Interest Rate/12
=7.3/12
Monthly Interest Rate = 0.6083%
Present Value = $500 + $500/1.006083 + $500/1.006083^2 + $500/1.006083^3 + ... + $500/1.006083^479
Present Value = $500 * 1.006083 * (1 - (1/1.006083)^480) / 0.006083
Present Value = $500 * 156.39156
Present Value = $78,192.28
Thus, the value of this inheritance is $78,192.28
The inverse of the function is 
Explanation:
To find the inverse of the equation 
, we need to interchange the variables x and y for the variables y and x.
Thus, the equation becomes
Now, we shall find the value of y.
Now, adding 8 to both sides of the equation, we have,
Interchanging the sides,
Dividing by 2 on both sides,
Taking square root on both sides,
Thus, the inverse of the function is
Answer:
He burnt 1000 calories per hour when playing basketball.
Step-by-step explanation:
Let B be calories burned playing basketball, and C calories burned canoing.
1800 = B + 2C
3200 = 2B + 3C
From 1st equatipn, we get that B = 1800 - 2C
Replacing into the 2nd equation, we have:
3200 = 2(1800-2C) + 3C
3200 = 3600 - 4C + 3C
3200 = 3600 - 1C
C = 3600 - 3200
C = 400
Knowing C, we find B.
B = 1800 - 2C = 1800 - 2*400 = 1800 - 800 = 1000 calories.
