First, change each mixed fraction into improper
2 3/8 = 19/8
1 3/4 = 7/4
The problem will look like: (19/8)/(7/4)
To solve, flip the second fraction, and change the division sign into a multiplication sign.
(19/8)/(7/4) = (19/8) x (4/7)
Multiply across
(19/8) x (4/7) = 76/56
Simplify.
76/56 simplified = 19/14
Change to mixed fraction
19/14 = 14/14 + 5/14 = 1 5/14
1 5/14 is your answer
hope this helps
Answer:
-3.5
Step-by-step explanation:
To find the slope we use
m = (y2-y1)/(x2-x1)
= (-15-20)/(-6 - -16)
=(-15-20)/(-6+16)
-35/10
= -3.5
-2x + xy = 30.....when y = 8
-2x + 8x = 30
6x = 30
x = 30/6
x = 5 <==
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
This should help!! Thanks! Let me know!