Factorise completely 12y² + 4y

Mathematics

2 answers:

otez555 [7]2 years ago

8 0

Step-by-step explanation:

$12y^{2} + 4y \\4y( \frac{12y^{2} }{4y} + \frac{4y}{4y} ) \\ 4y(3y + 1)$

rewona [7]2 years ago

5 0

Step-by-step explanation:

12y²+4y

divide both sides by 4

therefore,

3y²+y

y(3y+1)

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Jamal deposits $1000 into a savings account on his 18th birthday. If the 2% interest is compounded yearly, how much will he have

dalvyx [7]

The number of years (n) that the deposit stayed in his balance is given by: 65 - 18 = 47 years.

The future value (FV) of a deposit (P), deposited at an interest rate of r% compounded yearly for n years is given by

$FV=P(1+r)^n$

Given that <span>Jamal deposits P = $1000 into a savings account on for n = 47years at 2% interest compounded yearly, the amount in his bank account at the end of the period is given by

$FV=1000(1+0.02)^{47} \\ \\ =1000(1.02)^{47}=1000(2.53634) \\ \\ =\$2,536.34$ </span>

8 0

3 years ago

Could someone explain this to me ??

hodyreva [135]

<h3>Answer: C) 12</h3>

========================================================

Explanation:

Refer to the diagram below. I'm using the points A,B,C,D,E to help label the triangles, and to label the angles as well.

For now, let's focus on triangle DEC.

The top most angle is given as D = 65. Note how the angles D and E are opposite the congruent lines (marked with the red single tickmarks). This means that angles D and E are congruent to one another. So E = 65 as well. This is shown in the diagram below.

For now we don't know what angle C is, so we'll call it y. More specifically, we'll make y the measure of angle DCE.

For any triangle, the three angles always add to 180

y+65+65 = 180

y+130 = 180

y = 180-130

y = 50

So angle DCE is 50 degrees.

-------------------------------

Now we move onto triangle ABC.

Because angles DCE and ACB are vertical angles, this makes angle ACB 50 degrees also. Effectively, anywhere you see a 'y' in the diagram below, replace it with 50.

So triangle ABC has the three angles y = 50, y = 50 and 7x-4

We can solve for x like so

y+y+(7x-4) = 180

50+50+(7x-4) = 180

7x+96 = 180

7x = 180-96

7x = 84

x = 84/7

x = 12

This points to choice C as the final answer.