Answer:
The solution to the inequality is all real values of n that respect the following condition: 2 < n < 6
Step-by-step explanation:
First, we need to separate the modulus from the rest of equation. So
3-l4-nl>1
-|4-n|>1-3
-|4-n|>-2
Multiplying everything by -1.
|4-n|<2
How to solve:
|x| < a means that -a<x<a
In this question:
|4-n|<2
-2<4-n<2
This means that:
4 - n > -2
-n > -6
Multiplying by -1
n < 6
And
4 - n < 2
-n < -2
Multiplying by 1
n > 2
Intersection:
Between n > 2 and n < 6 is 2 < n < 6
So the solution to the inequality is all real values of n that respect the following condition: 2 < n < 6
Answer:
the rate compounded semi-annually is compounded twice in a year. thus, this rate is higher than the rate compounded annually which is compounded once in a year
Step-by-step explanation:
The formula for calculating future value:
FV = P (1 + r/m)^mn
FV = Future value
P = Present value
R = interest rate
N = number of years
m = number of compounding
For example, there are two banks
Bank A offers 10% rate with semi-annual compounding
Bank B offers 10% rate with annual compounding.
If you deposit $100, the amount you would have after 2 years in each bank is
A = 100x (1 + 0.1/2)^4 = 121.55
B = 100 x (1 + 0.1)^2 = 121
The interest in bank a is 0.55 higher than that in bank B
Answer:
Step-by-step explanation:
video store A : 15 + 1.75m
video store B : 7.5 + 2.25m
15 + 1.75m = 7.5 + 2.25m
15 - 7.5 = 2.25m - 1.75m
7.5 = 0.50m
7.5 / 0.50 = m
15 = m <=== there would have to be 15 movie rentals to make them equal
check...
15 + 1.75m 7.50 + 2.25m
15 + 1.75(15) = 7.50 + 2.25(15) =
41.25 41.25
yep...it checks out
12000m=12km
3l=0.003cl
7000ml= 7l
1kg=1l
1100cl=11L
7000L = 7k
9cl=90ml
6g=600 cg
39 x 10
= 390
39 x 40 (390 x 4)
= 1,560
39 x 2
= 78
1,560 - 78
= 1,482
ANSWER: 1,482
