Answer:
$110.37
Step-by-step explanation:
Assuming the monthly payment is made at the beginning of the month, the formula for the monthly payment P that gives future value A will be ...
... A = P(1+r/12)((1+r/12)^(nt) -1)/(r/12) . . . . n=compoundings/year, t=years
... 14000 = P(1+.11/12)((1+.11/12)^(12·7) -1)/(.11/12)
... 14000 = P(12.11)((1+.11/12)^84 -1)/0.11 ≈ P·126.84714 . . . . fill in the given values
... P = 14000/126.84714 = 110.37 . . . . . divide by the coefficient of P
They should deposit $110.37 at the beginning of each month.
Answer:
1 1/24
Step-by-step explanation:
5/12 + 5/8
We need a common denominator of 24
Convert the first number to have a denominator of 24
5/12 *2/2 = 10/24
Convert the second number to have a denominator of 24
5/8*3/3 = 15/24
Add the two converted numbers together
10/24 + 15/24
25/24
Change from an improper fraction to a mixed number
24/24 + 1/24
1 1/24
F(-1) = -11
f(0) = -9
f(3) = -3
Answer:
Distance between the points A and B is 15.52 units.
Step-by-step explanation:
It has been given in the question that an airplane flies along a straight line from City A to City B.
Map has been laid out in the (x, y) coordinate plane and the coordinates of these cities are A(20, 14) and B(5, 10).
Distance between two points A'(x, y) and B'(x', y') is represented by the formula,
d = 
So we plug in the values of (x, y) and (x', y') in the formula,
d = 
d = 
d = 
d = 15.52
Therefore, distance between the points A and B is 15.52 units.