If you would like to solve the equation 4/5 * x = 2/5, you can calculate this using the following steps:
4/5 * x = 2/5 /*5
4 * x = 2 /4
x = 2/4
x = 1/2
The correct result would be 1/2.
Answer:
$11,600
Step-by-step explanation:
amount loaned at 8% and ($12,000 - x) = amount loaned at 18%
Write the equation: (change the percents to decimals: 8% = 0.08 and 18% = 0.18)
(0.08)x + (0.18)($12,000 - x) = $1,000
This expresses the total amount of earned interest in terms of the amounts of the loan, x and ($12,000 - x}.
0.08x + $2,160 - 0.18x = $1,000 Simplify and solve for x.
-0.1x = -$1,160 Divide both sides by -0.1
x = $11.600 The amount loaned at 8% interest.
The initial value: 25, rate of change: -5 ⇒ answer C
Step-by-step explanation:
The table:
→ x : 1 : 3 : 5 : 7
→ y : 20 : 10 : 0 : -10
The linear relation between x and y is y = m x + b, where
- m is the rate of change
- b is the initial value
Let us use the table to find m and b
∵
, where 
and
are any two ordered pairs in the table
∵
= (1 , 20)
∵
= (3 , 10)
∴ 
∵ m is the rate of change
∴ The rate of change is -5
Substitute the value of m in the form of the linear relation
∴ y = -5 x + b
To find b substitute x and y in the equation by the coordinates of any points in the table, let us chose point (5 , 0)
∵ x = 5 and y = 0
∴ 0 = -5(5) + b
∴ 0 = -25 + b
- Add 25 to both sides
∴ 25 = b
∵ b represents the initial value
∴ The initial value is 25
The initial value: 25, rate of change: -5
Learn more:
You can learn more about the linear equation in brainly.com/question/4326955
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The point-slope formula:

We have (-2, 1) and (1, 7).
Substitute:

