Answer:
432 people on Friday and 658 on Saturday
Step-by-step explanation:
Lets use variables for each day
x=Friday and y=Saturday
now write two equations since you were given two different information (money and people)
$6 on Friday and $8 on Saturday with a total amount of $7856
the equation will be 6x+8y=7856
now the second equation will be for people
x amount of people on Friday and y amount of people on saturday for a total of 1090; the equation will be
x+y=1090
put them together
6x+8y=7856
x+y=1090
now you can cancel a variable but manipulating one of the equations. We'll use x, to cancel x you need make it zero so multiply the bottom by -6
6x+8y=7856
-6(x+y=1090)
6x+8y=7856 now subtract downwards, with the x cancelling
-6x-6y=-6540
2y=1316 simplify
(2y/2)=(1316/2)
y=658
insert y into x+y=1090
x+(658)=1090
-658 -658
x=432
2^t =38
take the log of each side
log ( 2^t) = log (38)
the exponent gets multiplies
t log (2) = log (38)
divide by log 2
t = log(38)/log (2)
t≈5.2479
<h3>Given:</h3>
- P= $12500
- R= 10%
- T= 3 years
<h3>Note that:</h3>
- P= Principal amount
- R= Rate of interest
- T= Time period
<h3>To find:</h3>
- The simple interest
- The total amount paid
<h3>Solution:</h3>
First, we'll have to multiply, principal amount (12500), rate (10) and time period (3).
Now, we'll have to divide the amount (375000) by 100.
<em>I=$3750</em>
Now, we can find the total amount paid.
Let's substitute according to the formula.
<em>A=$16250</em>
<u>Therefore</u><u>,</u><u> </u><u>simple</u><u> </u><u>interest</u><u> </u><u>is</u><u> </u><u>$</u><u>3</u><u>7</u><u>5</u><u>0</u><u> </u><u>and</u><u> </u><u>$</u><u>1</u><u>6</u><u>2</u><u>5</u><u>0</u><u> </u><u>was</u><u> </u><u>paid</u><u> </u><u>in</u><u> </u><u>total</u><u>.</u>
Answer:
Example 1 Find the inverse transform of each of the following.
F
(
s
)
=
6
s
−
1
s
−
8
+
4
s
−
3
H
(
s
)
=
19
s
+
2
−
1
3
s
−
5
+
7
s
5
F
(
s
)
=
6
s
s
2
+
25
+
3
s
2
+
25
G
(
s
)
=
8
3
s
2
+
12
+
3
s
2
−
49
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