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avanturin [10]
3 years ago
7

two perpendicular lines intersect at the point (2,3). One line has a y-intercept of (0,5). Which of the following is the equatio

n of the other line?
Mathematics
1 answer:
just olya [345]3 years ago
7 0

Answer:

The slope of the line is m=−1.

The equation of the line in the slope-intercept form is y=−x+5.

The equation of the line in the point-slope form is y−3=−(x−2).

The equation of the line in the point-slope form is y−5=−x.

The general equation of the line is x+y−5=0.

You might be interested in
a man invested one third of his money at 5%, half of his money st 5.5%. if his total annual investment income was 735,how much h
stepan [7]
Remark
Let the amount invest = x 

(1/3 x) * 5/100 + (1/2 x) * 5.5/100 = 735  Multiply numerators and denominators together on each side of the plus sign.

5x/300 + 5.5x / 200 = 735

Multiply both sides of the equation by 600 to get rid of the denominators.
(5x/300)*600 + (5.5x/200)*600 = 735 * 600
(5x * 2) + 5.5x * 3 = 441000  
10x + 16.5x = 441000   Combine the like terms on the left.
26.5 * x = 441000          Divide by 26.5 on both sides.
x = 441000/26.5
x = 16641.51 = invested amount <<<<< answer

Check
1/3 * 5/100 * 16641.51 = 277.36
1/2 * 5.5/100*16641.51 = 457.63
The total = 735 which is what it should be.
4 0
3 years ago
PLEASE HELP WILL MARK BRAINLIEST YOU DONT HAVE TO EXPLAIN
Yakvenalex [24]

Answer:

the second option

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Ellie invested $13,000 in an account paying an interest rate of 8.25% compounded
Mila [183]

Answer:

Rate 1: 8

4

1

​

%=8+1/4=

 

 

8.25

%

→

0.0825

8.25%→0.0825

Rate 2:

8

1

2

%

=

8

+

1

/

2

=

Rate 2: 8

2

1

​

%=8+1/2=

 

 

8.5

%

→

0.085

8.5%→0.085

Calculate Final Amount for Ellie

Calculate Final Amount for Ellie

‾

Calculate Final Amount for Ellie

Compounded Continuously:

Compounded Continuously:

A

=

P

e

r

t

A=Pe

rt

P

=

13000

r

=

0.0825

t

=

18

P=13000r=0.0825t=18

Given values

A

=

13000

e

0.0825

(

18

)

A=13000e

0.0825(18)

Plug in

A

=

13000

e

1.485

A=13000e

1.485

Multiply

A

=

57394.5504

A=57394.5504

Use calculator (with e button)

Calculate Final Amount for Daniel

Calculate Final Amount for Daniel

‾

Calculate Final Amount for Daniel

Compounded Daily:

Compounded Daily:

A

=

P

(

1

+

r

n

)

n

t

A=P(1+

n

r

​

)

nt

Compound interest formula

P

=

13000

r

=

0.085

t

=

18

n

=

365

P=13000r=0.085t=18n=365

Given values

A

=

13000

(

1

+

0.085

365

)

365

(

18

)

A=13000(1+

365

0.085

​

)

365(18)

Plug in values

A

=

13000

(

1.0002329

)

6570

A=13000(1.0002329)

6570

Simplify

A

=

60025.6058

A=60025.6058

Use calculator

How much more money Daniel has:

How much more money Daniel has:

60025.6058

Rate 1: 8

4

1

​

%=8+1/4=

 

 

8.25

%

→

0.0825

8.25%→0.0825

Rate 2:

8

1

2

%

=

8

+

1

/

2

=

Rate 2: 8

2

1

​

%=8+1/2=

 

 

8.5

%

→

0.085

8.5%→0.085

Calculate Final Amount for Ellie

Calculate Final Amount for Ellie

‾

Calculate Final Amount for Ellie

Compounded Continuously:

Compounded Continuously:

A

=

P

e

r

t

A=Pe

rt

P

=

13000

r

=

0.0825

t

=

18

P=13000r=0.0825t=18

Given values

A

=

13000

e

0.0825

(

18

)

A=13000e

0.0825(18)

Plug in

A

=

13000

e

1.485

A=13000e

1.485

Multiply

A

=

57394.5504

A=57394.5504

Use calculator (with e button)

Calculate Final Amount for Daniel

Calculate Final Amount for Daniel

‾

Calculate Final Amount for Daniel

Compounded Daily:

Compounded Daily:

A

=

P

(

1

+

r

n

)

n

t

A=P(1+

n

r

​

)

nt

Compound interest formula

P

=

13000

r

=

0.085

t

=

18

n

=

365

P=13000r=0.085t=18n=365

Given values

A

=

13000

(

1

+

0.085

365

)

365

(

18

)

A=13000(1+

365

0.085

​

)

365(18)

Plug in values

A

=

13000

(

1.0002329

)

6570

A=13000(1.0002329)

6570

Simplify

A

=

60025.6058

A=60025.6058

Use calculator

How much more money Daniel has:

How much more money Daniel has:

60025.6058

−

57394.5504

60025.6058−57394.5504

2631.0554

2631.0554

$

2631

$2631

Round to the nearest dollar−

57394.5504

60025.6058−57394.5504

2631.0554

2631.0554

$

2631

$2631

Round to the nearest dollar

Step-by-step explanation:

3 0
3 years ago
In science, students are observing the growth of two plants. Plant A receives sunlight and Plant B does not. The graph and table
julia-pushkina [17]

its 4.5 inches on e2020

8 0
3 years ago
Read 2 more answers
What is the difference in cost between 5 books at $4.20 each and 3 books at $7.50 each?
olasank [31]
$4.20+$4.20+$4.20+$4.20+$4.20=$21.00
$7.50+$7.50+$7.50=$22.50

5 books at $4.20 costs cheaper that 3 books at $7.50. 5 books will be $1.50 cheaper

7 0
3 years ago
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