Answer: 1.) 14.66666666666667
2.) 20
Steps:
1.) 180 = 3x + 136
180 -136 = 3x
44 = 3x
44/3 = x
14.66666666666667 = x
2.) 70 + x = 90
x = 90 - 70
x = 20
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Answer:
Step-by-step explanation:
In order to do this we need to isolate y by performing the inverse operations on the other values like so...
a) 10x + 5y = 20 ... subtract 10x on both sides
5y = 20 - 10x ... divide both sides by 5
y = 4 - 2x ... we can move the 2x to the right to make it into y = mx + b
y = -2x + 4
b) 3x - 2y = 10 + 4x ... subtract 3x on both sides
-2y = 10 + x ... divide both sides by -2
y = -5 - 0.5x ... move -0.5 to the left so it matches y = mx + b
y = -0.5x - 5
Answer:
$13,695.98
Step-by-step explanation:
We can use the continuous compound interest formula to solve:
<em>P = principal amount</em>
<em>r = interest rate (decimal)</em>
<em>t = time (years)</em>
<em />
First, lets change 8% into a decimal:
8% -> 
-> 0.08
Now, lets plug in the values:
The account balance after 10 years will be $13,695.98
<u><em>The law illustrated is Distributive Law</em></u>
This question is under a topic called algebra laws.
The laws are;
- Commutative law; This implies that when we are to add or multiply numbers, the order of addition or multiplication doesn't matter as we will still get same result.
- Associative law; This implies that if we want to add more than 2 numbers, if we decide to add the first 2 before adding the third one, we will still get the same result as if we added the second one to the third one before adding to the first one. This law also applies to multiplication.
- Distributive law; This implies that when two numbers are multiplied to produce a result, both numbers are factors of the result.
We are told in the question that ; 5n x 1 = 5n
This means that 5n and 1 are factors of 5n and this corresponds to distributive law
Read more at; brainly.in/question/39479409?tbs_match=1
