Answer:
True expressions:
- The constants, -3 and -8, are like terms.
- The terms 3 p and p are like terms.
- The terms in the expression are p squared, negative 3, 3 p, negative 8, p, p cubed.
- The expression contains six terms.
- Like terms have the same variables raised to the same powers.
Step-by-step explanation:
The expression is:
p² - 3 + 3p - 8 + p + p³
False expressions:
- The terms p squared, 3 p, p, and p cubed have variables, so they are like terms. (They don't have the same exponents)
- The terms p squared and p cubed are like terms. (They don't have the same exponents)
- The expression contains seven terms. (It contains 6 terms)
Answer:
Step-by-step explanation:
we know that
The formula to calculate continuously compounded interest is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
e is the mathematical constant number
we have
substitute in the formula above
solve for t
simplify
Apply ln both sides
![ln(2)=ln[(e)^{0.036t}]](https://tex.z-dn.net/?f=ln%282%29%3Dln%5B%28e%29%5E%7B0.036t%7D%5D)
Applying property of exponents
![ln(2)=[0.036t]ln(e)](https://tex.z-dn.net/?f=ln%282%29%3D%5B0.036t%5Dln%28e%29)
Remember that ln(e) =1
![ln(2)=[0.036t]](https://tex.z-dn.net/?f=ln%282%29%3D%5B0.036t%5D)
![t=ln(2)/[0.036]](https://tex.z-dn.net/?f=t%3Dln%282%29%2F%5B0.036%5D)
Answer:
Step-by-step explanation:
answer = 1/2 r + m
m = 7
r = 8
answer = 1/2 * 8 + 7
answer = 4 + 7
answer = 11
-1 5/12 You have to subtract one and 2/3 by one fourth and then take the negative from the tea and add it to your answer
<h3>
Answer:</h3>
<u>If AB = 12units, then</u>
- A'B' = 1/2 × 12 = 6units.
<u>If C'D' = 5units, then</u>
