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Lubov Fominskaja [6]

3 years ago

15

Lucy invested $19,000 in an account paying an interest rate of 3% compounded annually. Assuming no deposits or withdrawals are m

ade, how much money, to the nearest hundred dollars, would be in the account after 8 years?

1 answer:

Verdich [7]3 years ago

3 0

Answer:

23560

Step-by-step explanation:

3% of 19k is 570

570*8=4560

4560+19000=23560

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Round to the nearest hundredth 0.633

spayn [35]

.63 i mean it is not that hard

6 0

3 years ago

Read 2 more answers

An arcade booth at a county fair has a person pick a coin from two possible coins available and then toss it. If the coin chosen

nydimaria [60]

Answer:

<em>b. 0.6024</em>

Step-by-step explanation:

<u>Conditional Probability</u>

Suppose two events A and B are not independent, i.e. they can occur simultaneously. It means there is a space where the intersection of A and B is not empty:

$P(A\cap B) \neq 0$

If we already know event B has occurred, we can compute the probability that event A has also occurred with the conditional probability formula

$\displaystyle P(A|B)=\frac{P(A\cap B)}{P(B)}$

Now analyze the situation presented in the question. Let's call F to the fair coin with 50%-50% probability to get heads-tails, and U to the unfair coin with 32%-68% to get heads-tails respectively.

Since the probability to pick either coin is one half each, we have

$P(U)=P(F)=50\%=0.5$

If we had picked the fair coin, the probability of getting heads is 0.5 also, so

$P(F\cap H)=0.5\cdot 0.5=0.25$

If we had picked the unfair coin, the probability of getting heads is 0.32, so

$P(U\cap H)=0.32\cdot 0.5=0.16$

Being A the event of choosing the fair coin, and B the event of getting heads, then

$P(B)=P(F\cap H)+P(U\cap H)=0.25+0.16=0.41$

$P(A\cap B)=P(F\cap H)=0.25$

$\displaystyle P(A|B)=\frac{0.25}{0.41}=0.61$

The closest answer is

b. 0.6024

7 0

3 years ago

What is the answer to m rqp = 145° and m rqc = 24°. find m cqp?

AleksandrR [38]

Cafeefefefgfdgnmiufkydjtshrewrtuli;olikuyjthrgefwtrthjklkkjhgfd

8 0

3 years ago

an angle measures 24° less than the measure if a supplementary angle . what is the measure of each angle

vagabundo [1.1K]

Hey there!

If two angles are supplementary, that means that the measures of the two angles have a sum of 180.

If the two angles were of equal measure, they would both be 90 degrees.

The easiest way to get this would be to subtract 12 degrees from one 90 degree angle and add them to the other 90 degree angle so one angle has 24 more degrees then the other.

90 - 12 = 78

90 + 12 = 102

Let's check to make sure this works.

102 + 78 = 180 That checks out.

102 - 24 = 78 That also works.

So, the measures of the angles are 102 and 78.

Hope this helps!

4 0

3 years ago

Find the ratio of the volume of the triangular prism

Nutka1998 [239]

Answer:

Explanation:

ratio of volume

prism

:

cuboid

:

:

90

:

600

now cancel down

9

0

:

60

0

:

:

9

:

60

divide by 3

:

:

3

:

20

8 0

3 years ago