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3 years ago

May someone help me on this please what amount will I put for B?

Mathematics

1 answer:

Alborosie3 years ago

6 0

P = $2000, Rate, r = 6% = 0.06 per year, Time, t = 5 years.

For compound interest compounded annually:

A) Amount, A = P(1 + r)^t

A = 2000(1 + 0.06)⁵

A = 2000(1.06)⁵ ≈ 2676.45

Amount ≈ $2676.45

B) Interest = Amount - Principal 

= 2676.45 - 2000 = 676.45

Interest ≈ $676.45

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Box 1 contains 3 blue and 5 red balls, whereas Box 2 contains 2 blue and 4 red ball. A ball is randomly chosen from Box 1 and th

muminat

Answer:

0.32

Step-by-step explanation:

Let A be the event that the transferred ball was blue.

B be the event that the red ball is selected from box 2

C be the event that the transferred ball was red

Then:

P(A) be the probability that the transferred ball was blue, which is 3/8

P(C) be the probability that the transferred ball was red, which is 5/8

P(B|A) is the probability that selected ball is red, given that the transferred ball was blue, which is 4/7

P(B|C) is the probability that selected ball is red, given that the transferred ball was red, which is 5/7

P(B) is the probability that the selected ball is red, which there are 2 scenarios, given that the transferred ball is blue and red

P(B) = P(B|A)P(A) + P(B|C)P(C)

$P(B) = \frac{4}{7}\frac{3}{8} + \frac{5}{7}\frac{5}{8}$

$P(B) = \frac{3}{14} + \frac{25}{56} = \frac{37}{56}$

P(A|B) is the probability that the transferred ball was blue, given that a red ball is selected from Box 2, which can be solved using Bayes theorem

$P(A|B) = \frac{P(B|A)P(A)}{P(B)} = \frac{\frac{4}{7}*\frac{3}{8}}{\frac{37}{56}} = \frac{3}{14}\frac{56}{37} = \frac{12}{37} = 0.324$

3 0

3 years ago

Fill in the table of values so that this is a proportional relationship with k=3/2 X. Y. *blank*. 0 2. *blank*. *blank*. 6. -2.

xxTIMURxx [149]

Answer:

x => y

0 => 0

2 => 3

4 => 6

-2 => -3

Step-by-step explanation:

The equation of a proportional relationship is represented as y = kx,

where, k = y/x

We are given that k = ³/2

This means that, equation of the relationship therefore would be:

y = ³/2x

Use this equation to solve for each missing value on the table given:

✔️Where, y = 0, substitute y = 0 into y = ³/2x to find x:

0 = ³/2x

0 * 2 = 3x

0 = 3x

0/3 = x

x = 0

✔️Where, x = 2, substitute x = 2 into y = ³/2x to find y:

y = ³/2(2)

y = 3

✔️Where, y = 6, substitute y = 6 into y = ³/2x to find x:

6 = ³/2x

6 * 2 = 3x

12 = 3x

12/3 = x

x = 4

✔️Where, x = -2, substitute x = -2 into y = ³/2x to find y:

y = ³/2(-2)

y = -3

5 0

3 years ago

Plz help ill give you brainlist plz

vekshin1

Simple you get the area of the inner rectangle, then the area of the 2 semi circles then add them.
First, you need to notice that the diameter of each circle is same as the side of the rectangle (46m), also not that the 2 semi circles will make a complete one circle with radius (46/2)
so now we are left with the area of the rectangle+the area of a circle with radius of 32m
The total area= (46*92)+(3.14*(32^2))= 7447.36m^2
and to keep you significant figures the answer is rounded to 3 digits, so the final answer will be 745m^2.
Hope this helps, thanks.

3 0

2 years ago

Help me pls! (Dot plots) Answer F G H. (Median and range)

skad [1K]

Answer:

F. Last season median was 2, this season median was 5

G. The range last season and this season are the same: 8

H. This season was Paula's best. Her median score per game was 5, and she scored as many as 9 points in a game. (If you've discussed mean and mode in class, here's more info) Her mean score (average score) last season was 3.41, and this season was 5. Also, her mode (score she recorded most often) this season was 5, compared to last season's mode of 2.

Step-by-step explanation:

Last season data set:

0, 1, 1, 2, 2, 2, 2, 4, 5, 7, 7, 8

median: 2

range: 8 - 0 = 8

mean: 3.41 points per game

mode: 2 points per game

This season data set:

1, 2, 2, 3, 5, 5, 5, 5, 7, 8, 8, 9

median: 5

range: 9 - 1 = 8

mean: 5

mode: 5 points per game

Let me know if you have any questions.

8 0

3 years ago

Which is the definition of perpendicular lines that includes only necessary and sufficient information?

Papessa [141]

Two lines that intersect to create a 90 degree angle

6 0

3 years ago