9514 1404 393
Answer:
Step-by-step explanation:
The 1-year interest is simply the invested amount times the interest rate.
Let r represent the lower interest rate. Then r+0.02 is the higher rate, and the total interest earned is ...
1400r + 900(r +.02) = 202
2300r +18 = 202 . . . . . . . . . .simplify
2300r = 184 . . . . . . . . . .subtract 18
r = 184/2300 = 0.08 = 8% . . . . . . divide by the coefficient of r
$1400 was invested at 8%.
$900 was invested at 10%.
Answer:
6
Step-by-step explanation:
20-8=12
12÷2=6
6x6=36
<h3>Answer: Choice D) 560x^8y^15</h3>
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Explanation:
We dont involve sigma notation since we want just one term and we aren't adding up a bunch of things. It's really curious why your teacher is using sigma notation as it is incorrect. Everything else is fine.
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n = 7 is the outer most exponent of the binomial.
We have the terms for k = 0, k = 1, ... which means the 4th term is when k = 3.
n C k = (n!)/(k!*(n-k)!)
7 C 3 = (7!)/(3!*(7-3)!)
7 C 3 = (7!)/(3!4!)
So that explains the coefficient of (7!)/(3!4!). This is known as a binomial coefficient. Some books call the n C k function the "choose" function. Though other books call it a combination function. They're the same thing. Let's keep going to fully compute the binomial coefficient.
7 C 3 = (7!)/(3!4!)
7 C 3 = (7*6*5*4*3*2*1)/(3*2*1*4*3*2*1)
7 C 3 = (5040)/(6*24)
7 C 3 = (5040)/(144)
7 C 3 = 35
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a = 2x^2y^3
b = y
The kth term is in the form
(n C k)*(a)^(n-k)*(b)^k
Plug in the given values and simplify
(7 C 3)*(a)^(7-3)*(b)^3
35*(a)^4*(b)^3
35*(2x^2y^3)^4*(y)^3
35*16*(x^8y^12)*(y)^3
560*x^8y^12*y^3
560*x^8y^(12+3)
560x^8y^15
33 = p - 6.71
+6.71 +6.71
___________
39.71= p
The whole number would be 3.
this is because since the denominator is 2, every 2 is a whole.
that mean u divide 6 by 2 to get 3