Answer:
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Step-by-step explanation:
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Answer:
First should get $220, other two should get $140 each.
Step-by-step explanation:
The ratio of hours the friends worked is 11:7:7. Say that they are paid 11x, 7x, and 7x respectively, therefore:
11x + 7x + 7x = 500
25x = 500
x = 20 so the first friend should get 11 * 20 = $220 and the other two should get 20 * 7 = $140 each.
2x-7=9
Add 7 to both sides
2x=16
Divide both sides by 2
x=8
Final answer: The number is 8
Answer:
=
−
5
Step-by-step explanation:
−
8
−
3
(
2
+
1
)
=
6
7
-8x{\color{#c92786}{-3(2x+1)}}=67
−8x−3(2x+1)=67
−
8
−
6
−
3
=
6
7
-8x{\color{#c92786}{-6x-3}}=67
−8x−6x−3=67
2
Combine like terms
−
8
−
6
−
3
=
6
7
{\color{#c92786}{-8x}}{\color{#c92786}{-6x}}-3=67
−8x−6x−3=67
−
1
4
−
3
=
6
7
{\color{#c92786}{-14x}}-3=67
−14x−3=67
3
Add
3
3
3
to both sides of the equation
−
1
4
−
3
=
6
7
-14x-3=67
−14x−3=67
−
1
4
−
3
+
3
=
6
7
+
3−
1
4
=
7
0
-14x=70
−14x=70
5
Divide both sides of the equation by the same term
−
1
4
=
7
0
-14x=70
−14x=70
−
1
4
−
1
4
=
7
0
−
1
4
\frac{-14x}{{\color{#c92786}{-14}}}=\frac{70}{{\color{#c92786}{-14}}}
−14−14x=−1470
6
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=
−
5
Answer:
The amount invested at 4.5% was
The amount invested at 5% was
Step-by-step explanation:
we know that
The simple interest formula is equal to
where
I is the Final Interest Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
Let
x -----> the amount invested at 4.5%
9,000-x -----> the amount invested at 5%
in this problem we have
substitute
so
therefore
The amount invested at 4.5% was
The amount invested at 5% was