Answer:
2201.8348 ; 3 ; x / (1 + 0.01)
Step-by-step explanation:
1)
Final amount (A) = 2400 ; rate (r) = 6% = 0.06, time, t = 1.5 years
Sum = principal = p
Using the relation :
A = p(1 + rt)
2400 = p(1 + 0.06(1.5))
2400 = p(1 + 0.09)
2400 = p(1.09)
p = 2400 / 1.09
p = 2201.8348
2.)
12000 amount to 15600 at 10% simple interest
A = p(1 + rt)
15600 = 12000(1 + 0.1t)
15600 = 12000 + 1200t
15600 - 12000 = 1200t
3600 = 1200t
t = 3600 / 1200
t = 3 years
3.)
A = p(1 + rt)
x = p(1 + x/100 * 1/x)
x = p(1 + x /100x)
x = p(1 + 1 / 100)
x = p(1 + 0.01)
x = p(1.01)
x / 1.01 = p
x / (1 + 0.01)
Answer:
9000 ft
Step-by-step explanation:
Given: A airplane is ascending at a constant rate of 15 feet per second,
What we need to know: The change in altitude during 10 minutes of flight,
60 seconds = 1 minute
60 × 10
= 600 seconds
600 × 15
= 9000 ft
Therefore there was a 9000 ft change in altitude during the 10 minutes of the flight.
Answer:
State A was the <u>12th</u> state to enter the Union. State B was the <u>11th</u> state to enter the Union.
Step-by-step explanation:
Let's call x to the order-of-entry of State B, therefore the order-of-entry of State A is x+1. Given that he product of their order-of-entry numbers is 132:
x*(x+1) = 132
x² + x - 132 = 0
Using quadratic formula:
The negative solution has no sense in the context of our problem, then the solution is x = 11.
The distributive property (the 5 is distributed to both the x and -7)
(2x-1)(x+4)=0
Step-by-step explanation:
A random zero property of multiplication is taken to find the solution
(2x-1)(x+4)=0
consider a=2x-1 and b=x-4 a.b=0
either a or b or both must be 0
equating both the equations
2x-1=0 or x=4=0 x-4=0
2x-1=0 x=4
2x=1
x=1/2
substitute the values of x in the main equation
[2(1/2)-1][(1/2)+4]=0
