Answer:
16 years
Step-by-step explanation:
Given data
Principal= $8500
Rate= 4.5%
Final amount= $17,323
The expression to find time in compound interest is given as
t= ln(A/P)/r
substitute
t= ln(17323/8500)/0.045
t= ln(2.038)/0.045
t=0.711/0.045
t= 15.8 years
Hence the total time is about 16 years
$78.90 cents
Hope this helps
Answer:
A 50% increase
Step-by-step explanation:
Area = length x breadth
Let illustrate this with an example
original dimensions
length = 4
breadth = 5
area = 4 x 5 = 20
new dimensions
length = 4/2 = 2
breadth = 5 x 3 = 15
area = 15 x 2 = 30
Percentage change = 30 - 20 / 20 x 100 = 50%
Answer:
x = 3
Step-by-step explanation:
First distribute
2x + 4x - 4 = 2 + 4x
combine like terms
6x - 4 = 2 + 4x
continue
2x - 4 = 2
add 4 to both sides
2x = 6
divide both sides by 2
x = 3
Answer:
The flight was 137.45 miles farther than the direct path.
(make slight changes if directions were given on how to round. This is to the nearest hundredth)
Step-by-step explanation:
Use the Law of Cosines.
c^2=
a^2+b^2-2abcosC
You know two sides and the angle in between. The Law of Cosines will give us the third side.
The third side is the direct path of the airplane. We'll add the two other given sides to find the detour route that they took instead.
Then subtract the smaller number (direct route) from the actual route. See image.
