Answer: A goverment by people
Step-by-step explanation:
Answer:
<em>Proof below</em>
Step-by-step explanation:
<u>Algebraic Manipulation</u>
It refers to the process of modifying algebraic expressions, often into a simpler form or more easily handled and dealt with.
It also helps us to prove some identities.
We are given the relations:
a + m = n
n = 4a
Substituting the last equation in the first, we have:
a + m = 4a
Subtracting a on both sides of the equation:
m = 4a - a
Simplifying:
m = 3a
Hence proved
Answer:
Amount invested that yielded interest of 5% is $15000 and amount invested that yielded interest of 8% is $5000
Step-by-step explanation:
Johnny invested $20,000
We are told that it consisted of 2 portions because one returned an interest of 5% and the other one 8%
Now, Let x be the amount invested that earned 5% and y be the amount invested that earned 8%
Thus:
x + y = 20000 - - - (eq 1)
The total interest earned on the investment was $1150
Thus;
5%x + 8%y = 1150
This can be rewritten as;
0.05x + 0.08y = 1150 - - -(eq 2)
From eq 1, let's make x the subject.
x = 20000 - y
Putting 20000 - y for x in eq 2 gives;
0.05(20000 - y) + 0.08y = 1150
1000 - 0.05y + 0.08y = 1150
Rearranging, we have;
0.03y = 1150 - 1000
0.03y = 150
y = 150/0.03
y = 5000
Thus,
x = 20000 - 5000
x = 15000
Thus,
Amount invested that yielded 5% is $15000 and amount invested that yielded 8% is $5000
Step-by-step explanation:
First, multiply each side of the equation by
2
to eliminate the fraction while keeping the equation balanced:
2×A=2×h2(a+b)
2A=2×h2(a+b)
2A=h(a+b)
Now, divide each side of the equation by
a
+
b
to solve for
h
while keeping the equation balanced:
2Aa+b=h(a+b)a+b
2Aa+b=h(a+b)a+b
2Aa+b=h
h=2Aa+b
Answer:
x=7
Step-by-step explanation:
Add 10 to both sides to isolate x.
4x=28
x=7
