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4 years ago

11

Plot the following points (3,6); (-1,6) and (-1,-6) on a grid to create three vertices of a rectangle. Find the missing vertex t

hat would make it a rectangle.

1 answer:

neonofarm [45]4 years ago

7 0

Answer: (3,-6)

Step-by-step explanation: Find the answer by finding the negative of the other number.

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Joe's annual income has been increasing in the same dollar amount. The first year his income was $15,200, and the 4th year his i

lidiya [134]

Answer:

Therefore 6th year his income was $19,700.

Step-by-step explanation:

Given, Joe's annual income has been increasing in some dollar amount . The first year his income was $15,200 and 4th year his income was $17,900.

A=$17900, P= $15,200 and n = 3 year

$A= P(1+\frac{r}{100} )^n$

$\Leftrightarrow 17900=15200(1+\frac{r}{100})^3$

$\Leftrightarrow (1+\frac{r}{100})^3=\frac{17900}{15200}$

$\Leftrightarrow (1+\frac{r}{100})=(\frac{17900}{15200})^{\frac{1}{3} }$

$\Leftrightarrow \frac{r}{100}=(\frac{17900}{15200})^{\frac{1}{3} }-1$

$\Leftrightarrow r=5.60$

Let $t^{th}$ year Joe's income was $19,700.

$\therefore 19700=15,200(1+\frac{5.60}{100} )^{t-1}$

$\Leftrightarrow 1.296= (1+0.056)^{t-1}$

$\Leftrightarrow 1.296= (1.056)^{t-1}$

$\Leftrightarrow log(1.296)= (t-1)log(1.056)$

$\Leftrightarrow \frac{log(1.296)}{log(1.056)}= (t-1)$

$\Leftrightarrow t-1= 4.75$

$\Leftrightarrow t= 4.75+1$

$\Leftrightarrow t = 5.75$ ≈6

Therefore 6th year his income was $19,700.

8 0

3 years ago

What is the center of the dilation?

LiRa [457]

Answer:

Step-by-step explanation:

The center of dilation is a fixed point on a plane. It is the starting point from which we measure distances in a dilation

7 0

2 years ago

What is an equation of the line that passes through the points (-5, -7) and (5, 1)

Nutka1998 [239]

The equation is y= 4/5x-3
my work is attached :)

5 0

3 years ago

Which number has the the greatest absolute value?<br> -20<br> -10<br> 0<br> 10

solniwko [45]

The answer to the question is-20

|-20|= 20

3 0

3 years ago

Jane has gone on a diet.She starts with weight of 61kg and loses 2kg every 3 weeks for 12 weeks.she abandoned her diet at the st

andrezito [222]

Answer:

55 kg

Step-by-step explanation:

lose 2kg per 3 week

for 12 weeks

3×4=12

4×2=8

61-8=53

1kg per week gained for 2 weeks = 2kg

53kg + 2 kg =55kg

Hope you understand...

7 0

2 years ago