53-x+18
Gail’s age would be x (or any variable of our choice).
Answer:
The equation that represents this situation is 2c² - 5c - 322 = 0
Step-by-step explanation:
∵ Kenan has c clients
∵ Jeff has five less than twice the number of clients that
Kenan has
- That means multiply c by 2 and then subtract 5 from the
product to find the number of Jeff's clients
∴ Jeff's clients = 2c - 5
∵ The product of the number of clients they have is 322
∴ c × (2c - 5) = 322
- Multiply c by the bracket (2c - 5)
∴ (c)(2c) + (c)(-5) = 322
∴ 2c² + (-5c) = 322
- Remember (+)(-) = (-)
∴ 2c² - 5c = 322
- Subtract 322 from both sides
∴ 2c² - 5c - 322 = 0
The equation that represents this situation is 2c² - 5c - 322 = 0
Answer:
The answer to your question is below
Step-by-step explanation:
Inequality 1
7(x + 2) - 8 ≥ 13
7x + 14 - 8 ≥ 13
7x + 6 ≥ 13
7x ≥ 13 - 6
7x ≥ 7
x ≥ 7/7
x ≥ 1
Inequality 2
8x - 3 < 4x - 3
8x - 4x < - 3 + 3
4x < 0
x < 0 / 4
x < 0
Interval notation (-∞ , 0) U [1, ∞)
See the graph below
A=P (1+r/n)^nt
A= Total amount invested, P=principal amount, r=Interest rate, n=number of time in a year when the interest is earned (for annual, n=1; for semi-annual, n=2, ...), t = time in years
In the current scenario, case 1, n=2; case 2, n=1 and A1=A2, t1=t2
Therefore,
800(1+0.0698/2)^2t = 1000(1+0.0543/1)t
Dividing by 800 on both sides;
(1+0.0349)^2t = 1.25(1+0.02715)^t
(1.0349)^2t = 1.25(1.02715)^t
Taking ln on both sides of the above equation;
2t*ln (1.0349)= ln 1.25 + t*ln (1.02715)
2t*0.0343 = 0.2231+ t*0.0268
0.0686 t = 0.2231+0.0268 t
(0.0686-0.0268)t = 0.2231
0.0418t=0.2231
t=5.337 years
Therefore, after 5.337 years or 5 years and approximately 4 months, their value of investments will be equal.
This value will be,
A=800(1+0.0698/2)^2*5.337 = $1,153.76
Answer:
7x -4
is the answer for that question