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2 years ago

Angela S. became a famous architect. She made $90000 in 2004. Then, in 2005 she made 120000.

Mathematics

1 answer:

Dahasolnce [82]2 years ago

5 0

Answer:

The percentage increase on her income will be determined by subtracting tge the initial profit from the final profit then dividing by the initial and multiplying by 100.

Step-by-step explanation:

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Find the area <br> Plz help

Katena32 [7]

To calculate the area of a triangle, multiply the base and the height, then divide the product by 2.

7*8=56

56/2=28

Area=28 feet squared

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2 years ago

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The probability that a professor arrives on time is 0.8 and the probability that a student arrives on time is 0.6. Assuming thes

saul85 [17]

Answer:

a)0.08 , b)0.4 , C) i)0.84 , ii)0.56

Step-by-step explanation:

Given data

P(A) = professor arrives on time

P(A) = 0.8

P(B) = Student aarive on time

P(B) = 0.6

According to the question A & B are Independent

P(A∩B) = P(A) . P(B)

Therefore

${A}'$ & ${B}'$ is also independent

${A}'$ = 1-0.8 = 0.2

${B}'$ = 1-0.6 = 0.4

part a)

Probability of both student and the professor are late

P(A'∩B') = P(A') . P(B') (only for independent cases)

= 0.2 x 0.4

= 0.08

Part b)

The probability that the student is late given that the professor is on time

$P(\frac{B'}{A})$ = $\frac{P(B'\cap A)}{P(A)}$ = $\frac{0.4\times 0.8}{0.8}$ = 0.4

Part c)

Assume the events are not independent

Given Data

P $(\frac{{A}'}{{B}'})$ = 0.4

= $\frac{P({A}'\cap {B}')}{P({B}')}$ = 0.4

$P$ $({A}'\cap {B}')$ = 0.4 x P $({B}')$

= 0.4 x 0.4 = 0.16

$P({A}'\cap {B}')$ = 0.16

The probability that at least one of them is on time

$P(A\cup B)$ = 1- $P({A}'\cap {B}')$

= 1 - 0.16 = 0.84

ii)The probability that they are both on time

P $(A\cap B)$ = 1 - $P({A}'\cup {B}')$ = 1 - $[P({A}')+P({B}') - P({A}'\cap {B}')]$

= 1 - [0.2+0.4-0.16] = 1-0.44 = 0.56

6 0

2 years ago

3. A savings account has a 3% interest rate. (a) Complete the ratio table shown. Show your work. Deposit ($) 100 50 300 Interest

blsea [12.9K]

We all know, savings account have "Compound Interest"

So, Here, On $100 deposit, amount of Interest = $12

So, for $50, it would be: $6

Then, for $300, it is: $36

b) If you deposit $200, then balance after 1 year,
A = P(1 + r)^t

A = 200(1 + 0.03)^1

A = 200(1.03)
A = $206

Now, Balance with $150
A = 150 (1 + 0.03)^1
A = 150(1.03)
A = 154.5

Difference = 206 - 154.5 = $51.5

In short, Your Answer would be: $51.5

Hope this helps!

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3 years ago

Fill in the blank.<br> 19/2 =

Angelina_Jolie [31]

Answer:

9.5

Step-by-step explanation:

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2 years ago

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