Please no links if so ill report you and talk to someone in the fbi maybe..

Mathematics

1 answer:

ollegr [7]3 years ago

7 0

Answer:

2(4x+1/4)

Step-by-step explanation:

You can put all of these equations into the Desmos Graphing Calculator and you will see that 2(4x+1/4) and -6x+3 3/4+14x-3.25 are equal to each other.

You cannot really see it in the picture below, but the purple 2(4x+1/4) line and the red -6x+3 3/4+14x-3.25 line are overlapping each other.

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Susan Marciano invested part of her $37,000 bonus in a fund that paid a 12% profit and invested the rest in stock that suffered

Bad White [126]

Answer:

The amount invested in funds that earned 12% profit is 31000

The amount invested in stock that suffered 5% loss is 6,000.

Step-by-step explanation:

Let x be the amount invested in funds that earned 12%.

Then the amount invested in stock that suffered 5% loss is 37000 - x.

The profit from investment in funds is = 12% of x

= 0.12·x

The loss from investment in stock is = 5% of (37000 - x)

= 0.05 × (37000 - x)

The net profit is 0.12·x - 0.05 × (37000 - x)

As the net profit given in the problem is $3420, we have :

0.12·x - 0.05 × (37000 - x) = 3420

Solving for x, we have :

12·x - 5 × (37000 - x) = 342000 (multiply both sides by 100)

12·x - 185000 + 5·x = 342000

17·x = 527000

⇒ x = 31000

Hence, The amount invested in funds that earned 12% profit is 31000 and the amount invested in stock that suffered 5% loss is 37000 - x = 37000 - 31000 = 6,000.

6 0

4 years ago

Use point-slope form to write the equation of a line that passes through the point

blagie [28]

Answer:

y - 8 = -2(x - 9)

Step-by-step explanation:

Given the slope, m = -2, and the point, (9, 8):

Let (x₁, y₁) = (9, 8)

slope (<em>m </em>) = -2

We can substitute these values into the following <u>point-slope form</u>:

y - y₁ = m(x - x₁)