At the time of her grandson's birth, a grandmother deposits $12,000.00 in an account that pays 2% compound monthly. What will be that value of the account at the child's twenty-first birthday, assuming that no other deposits or withdrawls are made during the period.
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A(t) = P(1+(r/n))^(nt)
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A(21) = 12000(1+(0.02/12))^(12*21)
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A(21) = 12000(1.5214)
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A(21) = #18,257.15
Hello :
<span>an equation of the circle Center at the
w(a,b) and ridus : r is :
(x-a)² +(y-b)² = r²
In this exercice : (x-3)²+y²=7² ....a =3 and b=0 ( the center is :w(3,0)) ... r=7
The distance between each point in each case is calculated and compared with the length of the radius
1 ) </span>A (-1, 1) : Aw² = (-1-3)²+1² =17..... Aw < r : <span>interior the circle
</span> 2 ) B(10, 0) :Bw² =(10-3)²+0² =49 ......r = Bw :<span>circumference of the circle
</span> 3 ) C(4, -8) :Cw² = (4-3)²+(-8)² =65..... Cw > r : exterior the circle
9514 1404 393
Answer:
2r(20r +60) = 80r^2
Step-by-step explanation:
Anna's first investment:
20
Anna's first return:
20r
Anna's second investment:
20r +60
Anna's second return:
r(20r +60)
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Hannah's first investment:
80
Hannah's first return, and her second investment:
80r
Hannah's second return:
80r^2
__
Twice Anna's return was equal to Hannah's return:
2r(20r +60) = 80r^2
Conditional probability formula is:P ( A and B ) = P ( A ) · P ( B / A )0.46 = P ( A ) · 0.31P ( A ) = 0.46 : 0.31P ( A ) = 1.48And this is impossible because 0 ≤ P ( A ) ≤ 1The student obviously made a mistake.