Answer:
x > 7
Step-by-step explanation:
The dot product of the two vectors will be given as follows:
v*w=(-7i+4j)*(-6i+5j)
=(-7*(-6))i+(4*5)j
=-42i+20j
Hence the answer is:
v*w=(-42i+20j)
752.4/33 = width
Plug that into your calculator and you'll get the answer.
Justification: legnth times width = area, so area divided by length = width
Answers:
- interest = $75
- balance at maturity = $3075
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Explanation:
The simple interest formula is
i = p*r*t
where in this case,
- p = 3000 = principal (amount deposited)
- r = 0.10 = annual interest rate in decimal form
- t = 3/12 = 0.25 = number of years
So,
i = p*r*t
i = 3000*0.10*0.25
i = 75 is the amount of interest earned
This adds onto the initial deposit to get the final balance when the CD matures (ie when you're able to withdraw the money without penalties)
The balance at maturity is p+i = 3000+75 = 3075 dollars
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In short, you deposit $3000 into the CD and have to wait 3 months for the amount to update to $3075.
Step-by-step explanation:
25(2x) + 25(3y)
25 · (2 · x) + 25 · (3 · y)
(25 · 2) · x + (25 · 3) · y <em>Associative property </em><em>(a · b) · c = a · (b · c)</em>
(25 · 2)x + (25 · 3)y
(2 · 25)x + (3 · 25)y <em>Commutative property</em><em> a · b = b · a</em>
<em>50x + 75y</em>