Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>This is going to be an arithmetic progression:</u>
- 48500, 48500 + 1200, 48500 + 1200*2, ...
<u>So the first term is </u>
<u>and the common difference is </u>
<u>Sum of AP is:</u>
- S = (a₁ + aₙ)*n/2 = (2a₁ + (n - 1)d)*n/2
<u>Substitute and solve for n:</u>
- (2*48500 + (n - 1)*1200)*n/2 = 321000
- (97000 + 1200n - 1200)n = 642000
- 1200n² + 95800n - 642000 = 0
- 6n² + 479n - 3210 = 0
<u>Solving we get a positive root of:</u>
- n ≈ 6.21 and it rounds up to 7 years
The Inequality which represents all possible values of x, such that the given expression is a positive value is :
Answer:
5.33333333333333
Step-by-step explanation:
32 divided by 6
6 fits 5 times into 32
6*5 = 30
2 is left, 2 is 1/3 of 6.
1/3 = 0.33333333333
So, its 5.333
Answer:
6 years
Step-by-step explanation:
let x = # of years
6 + 2x = 12 + x
x = 6