Answer:
Both Tom and Jerry will apart 176 miles in 2 hours .
Step-by-step explanation:
Given as:
Tom and Jerry moves in opposite direction
The speed of Tom = 38 mph
The speed of Jerry = 50 mph
Let The distance cover by Tom = x mile
The distance cover by Tom = ( 176 - x ) miles
Time taken by both are same = T hour
Or, Time taken by Tom
T = 
... 1
∴ x = 38 T
And Time taken by Jerry
Or, T = 
So , put the value of T from 1
=
Or, 50 × x = ( 176 - x ) × 38
So 50 x + 38 x = 6688
Or, 88 x = 6688
∴ x = 
= 76 mile
So, From, eq 1
T =
or, T = 
= 2 hours
Hence both Tom and Jerry will apart 176 miles in 2 hours . Answer
Answer:
Step-by-step explanation:
The formula for continuously compounded interest is
A = P x e (r x t)
Where
A represents the future value of the investment after t years.
P represents the present value or initial amount invested
r represents the interest rate
t represents the time in years for which the investment was made.
A) From the information given,
P = $800
r = 4.5% = 4.5/100 = 0.045
t = 5 years
Therefore,
A = 800 x e^(0.045 x 5)
A = 800 x e^(0.225)
A = $1002
B) For it to double,
A = 2 × 800 = 1600
Therefore,
1600 = 800 x e^(0.045 x t)
1600/800 = e^(0.045t)
2 = e^(0.045t)
Taking ln of both sides, it becomes
Ln2 = 0.045t
0.693 = 0.045t
t = 0.693/0.045
t = 15.4 years
562.816 = 5×10² +6×10¹ +2×10⁰ +8×10⁻¹ +1×10⁻² +6×10⁻³
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<em>Comment on this problem</em>
Understanding this representation of place value goes a long way toward understanding scientific notation. It also helps understanding of numbers written in bases other than 10.
Answer:
x
+
5
Step-by-step explanation:
x
+
5
