How much interest is earned on $269 at 10% for five years?

The straight line ax+by=1passes through the points (1,4)and (3,1).Find the values of a and b?

Molodets [167]

Answer:

a= 3/11

b = 2/11

Step-by-step explanation:

a(1) + b(4) = 1

a + 4b = 1

a(3) + b(1) = 1

3a + b = 1

b = 1-3a

a + 4(1-3a) = 1

a+ 4-12a = 1

-11a = -3

a = 3/11

b = 1-3(3/11)

b= 2/11

3 0

3 years ago

Read 2 more answers

An epidemiologist is worried about the prevalence of the flu in East Vancouver and the potential shortage of vaccines for the ar

RideAnS [48]

Answer:

Null hypothesis would be:

C. The true proportion of residents who have recently had the flu is 0.05.

Alternative hypothesis would be:

E. The true proportion of residents who have recently had the flu is greater than 0.05.

Step-by-step explanation:

Hypothesis testing is made to estimate the true population proportion<em> using the sample info. </em>

The purpose is to provide sufficient evidence to support that the true proportion of people who have recently had the flu is greater than 0.05. Therefore null and alternative hypotheses use this proportion.

5 0

3 years ago

Gus started with a number he multiplied by 8 subtracted 12 divided by 4 and added 7 to get 50 show how to work backward to find

DanielleElmas [232]

Answer:

23

Step-by-step explanation:

This equation can be derived from the question

let a represent the initial number Gus started with

{[(a x 8) - 12] / 4 } + 7 = 50

subtract 7 from both sides of the equation

[(a x 8) - 12] / 4 } = 43

Multiply both sides of the equation by 4

(a x 8) - 12] = 172

Add 12 to both sides

8a =184

Divide both sides by 8

a = 23.

6 0

3 years ago

Charles drew a plan for a rectangular piece of material that hehe will use for a blanket. Three of the vertices are ( -2.3 and

mote1985 [20]

Answer:

The coordinates of the fourth vertex is ( 2.1 , -3.6)

Step-by-step explanation:

Given:

The vertices are ( -2.3 and −3.6), (−2.3, and 2.2), and (2.1, and 2.2).

To Find :

The fourth coordinate = ?

Solution:

Let (a,b) be the missing coordinates

Now let us use the the mid point formula and find the missing coordinate.

Let ( -2.3 ,−3.6) be the point A

Let (−2.3,2.2) be the point B

Let (2.1, 2.2) be the point C

The mid point of AC should be BD

Step 1: Finding The mid pint of AC

The mid pint of AC

$(\frac{(-2.3+2.1)}{2} , \frac{(-3.6+2.2)}{2})$

$(\frac{(-0.2)}{2} , \frac{(-1.4)}{2})$

$(-0.1, -0.7)$

Step 2: Lets Equate the midpoints'

The mid pint of BD

=> $(\frac{(a+(-2.3))}{2} , \frac{(b+2.2)}{2})$ = (-0.1, -0.7)

$\frac{(a+(-2.3))}{2} = -0.1$

$(a-2.3) = -0.1 \times 2$

$(a-2.3) = -0.2$

$a = -0.2 +2.3$

a = 2.1

$\frac{(b+2.2)}{2} = -0.7$

$(b+2.2)= -0.7 \times 2$

$(b+2.2)= -1.4$

$b= -1.4 -2.2$

b = -3.6

8 0

4 years ago

I Bought 10 apples three days ago. 3 of them were rotten, I ate 2 and gave 5 away. How many apples do I have left?

Nutka1998 [239]

Answer: 0

Step-by-step explanation: if you gave 5 away your left with 5 if 3 were rotten your left with 2 but you ate 2 meaning you have no apples left.

7 0

3 years ago