Answer:
Given: 
Distributive Property tells us that we multiply each term inside the parentheses with the term outside of the parentheses.
Using distributive property on expression 6(y-2) to solve the further expression as:
Simplify:
Subtract the number 12 from 15 we get 3;
therefore, the expression become:
Subtraction property of equality tells us that subtract the same number from both sides of an equation.
Now, subtract 3 from both the sides we get;
Simplify:
Now, divide by 6 on both the sides we get;
On simplify we get;
y =3 Hence Proved!
Answer:
x = 28,000
Step-by-step explanation:
"What" is our unknown, x; "is" is an equals sign; 70% expressed as a decimal is .70; "of" means to muliply.
Our equation, then, is
x = .70(40,000) so
x = 28,000
The formula is
I=prt
I interest earned 14.65
P initial deposit ?
R interest rate 0.025
T time 2 years
Plug in the formula
14.65=p×0.025×2
Solve for p
14.65=0.05p
Divide both sides by 0.05
P=14.65/0.05
P=293....answer
Hope it helps!
I think it’s c hope this helps you :)
<h3>
Answer: 375</h3>
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Work Shown:
a = 300 = first term
r = 60/300 = 0.2 = common ratio
We multiply each term by 0.2, aka 1/5, to get the next term.
Since -1 < r < 1 is true, we can use the infinite geometric sum formula below
S = a/(1-r)
S = 300/(1-0.2)
S = 300/0.8
S = 375
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As a sort of "check", we can add up partial sums like so
- 300+60 = 360
- 300+60+12 = 360+12 = 372
- 300+60+12+2.4 = 372+2.4 = 374.4
- 300+60+12+2.4+0.48 = 374.4+0.48 = 374.88
and so on. The idea is that each time we add on a new term, we should be getting closer and closer to 375. I put "check" in quotation marks because it's probably not the rigorous of checks possible. But it may give a good idea of what's going on.
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Side note: If the common ratio r was either r < -1 or r > 1, then the terms we add on would get larger and larger. This would mean we don't approach a single finite value with the infinite sum.
