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Licemer1
3 days ago
5

You save $8,500.00. You place 40% in a savings account earning a 4.2% APR compounded annually and the rest in a stock plan. The

stock plan decreases 3% in the first year and increases 7.5% in the second year. What is the total gain at the end of the second year for both accounts combined?
Mathematics
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In general, the probability that it rains on Saturday is 25%. If it rains on Saturday, the probability that it rains on Sunday i
AnnZ [12381]

Answer:

40%

Step-by-step explanation:

According to the provided information:

The likelihood of rain on Saturday stands at 25%.

P(Sunday)=25%=0.25

If it rains on Saturday, the probability of rain on Sunday rises to 50%.

P(Sunday|Saturday)=50%=0.5

If it does not rain on Saturday, the chance of Sunday rain is 25%.

P(Sunday|No Rain on Saturday)=25%=0.25

We aim to find the probability of rain on Saturday given that it rained on Sunday, P(Saturday|Sunday).

P(No rain on Saturday)=1-P(Saturday)=1-0.25=0.75

Using Bayes' theorem for conditional probabilities:

P(Saturday|Sunday)=\frac{P(Sunday|Saturday)P(Saturday)}{P(Sunday|Saturday)P(Saturday)+P(Sunday|No Rain on Saturday)P(No Rain on Saturday)}

=\frac{0.5*0.25}{0.5*0.25+0.25*0.75}

=0.4

Thus, there is a 40% likelihood that it rained on Saturday given the conditions on Sunday.

5 0
2 months ago
A triangle has sides that measure 4 units, 6 units, and 7.21 units. What is the area of a circle with a circumference that equal
PIT_PIT [12445]

Step-by-step explanation:

Given are

Sides of the triangle measure 4 units, 6 units, and 7.21 units.

We need to compute the area of a circle whose circumference matches the triangle's perimeter.

The triangle's perimeter corresponds to the circle's circumference.

4 + 6 + 7.21 = 2πr, where r is the radius of the circle.

r = 2.73 units

Circle's area is:

A=\pi r^2\\\\A=3.14\times (2.73)^2\\\\A=23.402\ \text{units}^2

or

A = 24 square units

Thus, the circle’s area is 24 square units.

3 0
2 months ago
Sam is designing a fence post for his yard. He will need to construct a perpendicular line through the point above the line to m
zzz [12365]
Option D is indeed correct, as it ensures that the post's point is equidistant from the ground, maintaining a perpendicular angle at two points on the surface.
6 0
2 months ago
Read 2 more answers
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