The set of integers is closed under addition, subtraction, and multiplication because when i add, subtract, or multiply any integers, the result is always an integer.
Hey there! I'm happy to help!
How many times does 20 go into 48?
48/20=2.4
So, we multiply our amount of flour for 20 cookies by 2.4.
2.25×2.4=5.4
Therefore you would need 5.4 or 5 2/5 cups of flour to make 48 cookies.
Have a wonderful day! :D
To solve an equation for one variable, we will utilize PEMDAS ( parentheses, exponents, multiplication/division, add/subtract) but backwards. So we will first add/subtract any numbers to the other side to get the variable by itself. We will then divide/multiply any numbers to get the variable by itself.
Basically each part of the first complex number gets multiplied by each part of the second complex number. You are multiplying 2 binomials.
(15 + 56i(7 + 4i)
= 105 + 60i + 392i + 224i^2
= 105 + 452i - 224 ( because i^2 = -1)
= - 119 + 452i
Answer:
k = 1.2
Step-by-step explanation:
Solving for t when the account value is 30,000, we have ...
30,000 = 25,000e^(0.0198t)
30,000/25,000 = 1.2 = e^(0.0198t)
ln(1.2) = 0.0198t
t = ln(1.2)/0.0198
Matching this with the form ...
t = ln(k)/0.0198
we see that k = 1.2.
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k is the multiplier of account value in time period t.
