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Alecsey [184]
3 years ago
5

A Mater Exam

Mathematics
1 answer:
astraxan [27]3 years ago
3 0

Answer:

The slope of the perpendicular line to the line is

m   = \frac{-1}{2}

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the line y =f(x) = 2x +6

                           ⇒  y = 2x +6

 comparing             y =mx +c

The slope of the given line   m =2

<u><em>Step(ii):- </em></u>

The slope of the perpendicular line   = \frac{-1}{m}

The slope of the perpendicular line   = \frac{-1}{2}

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a total of 10000 was invested in two business ventures A and B .at the of the first year A and B yielded returns of 6% and 23÷4
wolverine [178]

Answer:

(1)

compound amount = 802.5 $

invest earned = 52.5 $

Step-by-step explanation:

total amount = 10000 $

let amount x invested in ventures A and remaining (1000-x) on ventures B

now,

6x/100 +23/400(1000-x ) = 588.75

{24x+23(1000-x)}/400 =588.75

x=235500-230000

x=5500

Amount invested on A = 5500$

Amount invested on B = 4500$

(2)

principle=750$

time= 1 year

effective invest rate = 7%

a) compound amount = p(1+(r/w)^t

=750{1+(7/100)}^1

=802.5$

b) invest earned = 802.5-700 = 52.5$

3 0
3 years ago
X - 11 = 20<br> 3y + 8 = 23<br> X/2 + 6 = 10<br> 8y = -56<br> 5x - 7 = 13
slavikrds [6]
1. x = 31
2. y = 5 + 23
3.
4. y = -7
5. x = -2 + 13
7 0
3 years ago
Find the height of a cylinder with a volume of 30 ins and a radius of 1 in.
Molodets [167]

Answer:

The height of this cylinder = 9.55 ins

Step-by-step explanation:

Volume cylinder = pi * r² * h = 30 ins

r=1

pi * r² * h = 30

pi * 1² * h = 30 ins

h = 30/pi

h = 9.55 ins

8 0
3 years ago
What is 26% of 200.i really need to know
babunello [35]
26 percent of 200 is 52 :)
4 0
3 years ago
Read 2 more answers
A farmer was counting his chickens and pigs. He had 16 animals in all and counted 54 legs. How many chickens does he have
Vikentia [17]

Answer:

5 chickens

Step-by-step explanation:

Let's set chickens and pigs with variables "c" and "p" respectively.

We know there a 16 animals in all, so there are:

c+p=16

We know there are 54 legs and chickens have 2 legs and pigs have 4 legs each:

2c+4p=54

Now we have our system of equations:

c+p=16

2c+4p=54

We are trying to find the number of chickens, so we write the first equation in respect to c.

p=16-c

Substituting the first derived equation to equation two:

2c+64-4c=54

Simplifying:

64-2c=54

2c=10

c=5

So there are 5 chickens.

8 0
3 years ago
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