Answer:
The Answer is: the Number is -2
Step-by-step explanation:
Let n = the number.
Five times the number minus 10 is less than 6 times the number minus eight:
5n - 10 = 6n - 8
-1n = -8 + 10
-n = 2
n = -2, the value of the number is -2.
Proof:
5(-2) - 10 = 6(-2) - 8
-10 - 10 = -12 - 8
-20 = -20
Hope this helps! Have an Awesome Day!! :-)
Answer:
z = 3
Step-by-step explanation:
we use the method
(x^a)^b = x^(a*b)
so
(q^4)^z = q^(4*z)
now
4*z = 12
z = 12 / 4
so
z = 3
Answer:
Present value = $4,122.4
Accumulated amount = $4,742
Step-by-step explanation:
Data provided in the question:
Amount at the Start of money flow = $1,000
Increase in amount is exponentially at the rate of 5% per year
Time = 4 years
Interest rate = 3.5% compounded continuously
Now,
Accumulated Value of the money flow = 
The present value of the money flow = 
= 
= ![1000\left [\frac{e^{0.015t}}{0.015} \right ]_0^4](https://tex.z-dn.net/?f=1000%5Cleft%20%5B%5Cfrac%7Be%5E%7B0.015t%7D%7D%7B0.015%7D%20%5Cright%20%5D_0%5E4)
= ![1000\times\left [\frac{e^{0.015(4)}}{0.015} -\frac{e^{0.015(0)}}{0.015} \right]](https://tex.z-dn.net/?f=1000%5Ctimes%5Cleft%20%5B%5Cfrac%7Be%5E%7B0.015%284%29%7D%7D%7B0.015%7D%20-%5Cfrac%7Be%5E%7B0.015%280%29%7D%7D%7B0.015%7D%20%5Cright%5D)
= 1000 × [70.7891 - 66.6667]
= $4,122.4
Accumulated interest = 
= 
= $4,742
Answer:
1/18
Step-by-step explanation:
Just go to calculator and write -9÷54-(-12÷54)