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rodikova [14]
3 years ago
14

Jose now has $500. How much would he have after 6 years if he leaves it invested at 5.5% with annual compounding?

Mathematics
1 answer:
arsen [322]3 years ago
6 0
345.78 is the answer
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You flip a coin and then roll a 6-sided number cube (a die).
expeople1 [14]

Answer:

a)  No, it does not matter whether you roll the die or flip the coin first, as these two events are <u>independent</u> of each other, which means they do not affect each other.

b) Yes.

  • Let event 1 be flipping a coin and event 2 be rolling a die.
  • Let event 1 be rolling a die and event 2 be flipping a coin.

The likelihood that any outcome will occur will not change, as the events are independent.

c) see attached

d)   12 outcomes  (H = head, T = tail, numbers represent the value of the die)

H 1           T 1

H 2          T 2

H 3          T 3

H 4          T 4

H 5          T 5

H 6          T 6

e)  

\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}

\implies \sf P(even)=\dfrac{1}{6}+\dfrac{1}{6}+\dfrac{1}{6}=\dfrac{3}{6}=\dfrac{1}{2}

\implies \sf P(head)=\dfrac{1}{2}

\implies \sf P(even)\:and\:P(head)=\dfrac{1}{2} \times \dfrac{1}{2}=\dfrac{1}{4}

6 0
2 years ago
Based on the diagram, which reason justifies this statement?
Norma-Jean [14]

Answer:

Complements of the same angle are congruent.

Step-by-step explanation:

7 0
3 years ago
Can someone help me turn these two word problems into algebraic expressions?
Dima020 [189]
1. N=x+3
    S=2(x+3), or Sam=2x+6
5 0
3 years ago
Limθ→π/4 (cosθ−sinθ​)/(θ– π/4)​
Rzqust [24]

Answer:

-√2

Step-by-step explanation:

For the typing purpose I replaced θ with n in the calculation

\lim_{n \to \frac{\pi }{4}} \frac{cos n-sin n}{\frac{\pi }{4} }  ...limits L'Hopital's Rule\\=  \lim_{n \to \frac{\pi }{4}} \frac{-sin n-cos n}{1 }   ... plug. in . \frac{\pi }{4} \\= - sin \frac{\pi }{4} - cos \frac{\pi }{4}\\= - \frac{\sqrt{2} }{2} - \frac{\sqrt{2} }{2}\\= \frac{- 2\sqrt{2}}{2}  \\= - \sqrt{2}

5 0
3 years ago
2 Points
mart [117]

Answer:

B. Doubled

Step-by-step explanation:

The formula to find the circumference of the circle is

C=2\pi r

Now our problem says that the radius is doubled. Hence the new radius is 2r

Hence the new circumference will be

C'=2 \pi 2r

= 2 \times 2\pi r

=2C

Hence our circumference gets doubled.

3 0
3 years ago
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