An account earns simple interest. Find the annual interest rate.

Explain how you can find 4x754 using two different methods.

lesya692 [45]

You can multiply or you can estimate it!

Hope I could help

4 0

2 years ago

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Let A and B be events with =PA0.7, =PB0.3, and =PA or B0.9. (a) Compute PA and B. (b) Are A and B mutually exclusive? Explain. (

kvasek [131]

Answer:

a) $P(A \cup B) = P(A) +P(B) - P(A\cap B)$

And if we solve for $P(A \cap B)$ we got:

$P(A \cap B) = P(A) + P(B) -P(A\cup B)= 0.7+0.3-0.9 = 0.1$

b) False

The reason is because we don't satisfy the following relationship:

$P(A\cup B) = P(A) + P(B)$

We have that:

$0.9 \neq 0.3+0.7 =1$

c) False

In order to satisfy independence we need to have the following condition:

$P(A \cap B) = P(A) *P(B)$

And for this case we don't satisfy this relation since:

$0.1 \neq 0.7*0.3 = 0.21$

Step-by-step explanation:

For this case we have the following probabilities given:

$P(A) = 0.7, P(B) =0.7, P(A \cup B) =0.9$

Part a

We want to calculate the following probability: $P(A \cap B)$

And we can use the total probability rule given by:

$P(A \cup B) = P(A) +P(B) - P(A\cap B)$

And if we solve for $P(A \cap B)$ we got:

$P(A \cap B) = P(A) + P(B) -P(A\cup B)= 0.7+0.3-0.9 = 0.1$

Part b

False

The reason is because we don't satisfy the following relationship:

$P(A\cup B) = P(A) + P(B)$

We have that:

$0.9 \neq 0.3+0.7 =1$

Part c

False

In order to satisfy independence we need to have the following condition:

$P(A \cap B) = P(A) *P(B)$

And for this case we don't satisfy this relation since:

$0.1 \neq 0.7*0.3 = 0.21$

4 0

3 years ago

7 - r/8 - 3d Variables r=32 and d= 2

satela [25.4K]

The required value if r = 32 and d = 2 is -3

Given the expression

$7-\frac{r}{8} - 3d$

Substituting the given variables

r = 32

d = 2

The expression becomes

$= 7-\frac{32}{8} - 3(2)\\= 7 - 4 - 6\\= 3 - 6\\= -3$

Hence the required value is -3

Learn more here: brainly.com/question/17499155

6 0

2 years ago

Your school's football team scored 49 points. Your team's score was 19 points more than the opponent's score s. Write and solve

solmaris [256]

Answer:

39 points

Step-by-step explanation:

Your school's football team scored 49 points.

Your team's score is 19 points more than the opponents score

The opponent score is represented as S

Since the total points that was scored is 49 and your team score is 19 then the equation can be written as follows

S+ 19= 49

Solve for S

S= 49-19

S= 30

Hence the opponent's score is 30 points

7 0

3 years ago

What is an equation of the line that passes through the points (-8, 1) and(7,1)?

likoan [24]

Answer:

y=1

Step-by-step explanation:

you can use those points to find the slope

use the equation $\frac{y_{1} - y_{2}}{x_{1}-x_{2}}$ then plug in the numbers

so (1-1)/(-8-7) = 0/15 so the slope is zero meaning it is a horizontal line which we can tell logically because the y coordinates of both points are 1.

so if you plug those numbers into the formula y=mx+b where m is slope and b is the y intercept then

you get y=0*x+1

then 0*x is just zero and it goes away so the equation for this line is y=1

Hope this helps! :)

8 0

2 years ago

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