Answer:
A= 40
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3/4 (2a-6)+1/2=2/5(3a+20)
(3/4) (2a) + (3/4) (-6) + 1/2 = (3a) + (2/5) (20)
(distribute)
3/2a + -9/2 + 1/2 = 6/5a + 8
(3/2 a) + ( -9/2 + 1/2 ) = 6/5a + 8 (Combine like terms)
3/2a + -4 = 6/5a + 8
3/2a -4 = 6/5a+8
Step 2: Subtract 6/5a from both sides.
3/2a - 4 - 6/5 a = 6/5a + 8 - 6/5 a
3/10 a - 4= 8
Step 3: Add 4 to both sides.
3/10a -4 +4 = 8 + 4
3/10 a = 12
Step 4: Multiply both sides by 10/3
(10/3) * (3/10a) = (10/3) * (12)
a = 40
Answer: −4x + 5.2
Step-by-step explanation: Add 3.2 and 2. Then reorder 5.2 and −4x.
Answer:
The value of x is 8.2%
Step-by-step explanation:
Here, we want to find the value of x
From the question, the car is with 59% of its initial value
What this mean is that within the space of that 5 years, the amount of value it has lost will be 100% - 59% = 41%
What this mean is that it has lost 41% in 5 years
The amount it loses per year of the 5 years will be;
41%/5 = 8.2%
so you have
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If you don't remember the value of off the top of your head, it's possible to derive it with some identities and knowing that .
Consider the expression . With the angle sum identity, we have
and the double angle identities give
Write everything in terms of cosine:
Now let . Then
Let . Then
The rational root theorem suggests some possible roots are
and checking all of these, we find that is among the solution set. In fact,
We have only for odd multiples of , so it follows that
Since the exponent of our 10 is -2, we want to move our decimal point two places to the left.
The first time we move it we get .361 and the second time we move it we get .0361, which is our answer.