Simplify: (6x^3)÷(3x+12)

Mrs. Jackson put a total of $10,000 into two accounts one account earns 6% simple annual interest the other account earns 6.5% s

kozerog [31]

Answer:

The money invested in account at 6 % rate is $ 9230.77

The money invested in account at 6.5 % rate is $ 769.23

Step-by-step explanation:

Given as :

The total amount saves in two account = $ 10,000

The two rate of interest are 6 % and 6.5 % at simple interest

The interest earn at 6 % rate = $ 632

The interest earn at 6.5 % ate = $ 50

Now, Let The amount deposit at 6 % rate = $ x

And The amount deposit at 6.5 % rate = $ 10,000 - $ x

From Simple Interest method

Simple Interest = $\dfrac{\textrm principal \times \textrm Rate\times \textrm time}{100}$

or, At 6.5 % rate

$ 50 = $\dfrac{\textrm (10,000 - x ) \times \textrm 6.5\times \textrm 1}{100}$

or, 10000 - x = $\frac{5000}{6.5}$

Or, 10000 - x = 769.23

∴ x = 10000 - 769.23

I.e x = $ 9230.77

So , At 6.5 % the amount deposit = 10,000 - 9230.77 = $ 769.23

So, At 6 % The amount deposit = $ 9230.77

Hence The money invested in account at 6 % rate is $ 9230.77

And The money invested in account at 6.5 % rate is $ 769.23 Answer

7 0

4 years ago

In a scale drawing of a painting, 1 centimeter represents 6 Inches.

makkiz [27]

B 1cm 6in is your answer

4 0

3 years ago

Read 2 more answers

F(x)=-9x^2-2x and g(x)=3x^2+6x-9, find (f-g)(x) and (f-g)(-4)

Sergio039 [100]

Answer:

$(f-g)(x) = -12x^{2} - 8x + 9$

(f-g)(-4) = -151

Step-by-step explanation:

To find f-g(x) we subtract the common terms. So

$f(x) = -9x^{2} - 2x$

$g(x) = 3x^{2} + 6x - 9$

(f-g)(x)

$(f-g)(x) = f(x) - g(x) = -9x^{2} - 2x - (3x^{2} + 6x - 9) = -9x^{2} - 2x - 3x^{2} - 6x + 9 = (-9 - 3)x^{2} + (-2 - 6)x + 9 = -12x^{2} - 8x + 9$

(f-g)(-4)

$(f-g)(x) = -12x^{2} - 8x + 9$

We replace x by -4

$(f-g)(-4) = -12(-4)^{2} - 8(4) + 9= -151$

(f-g)(-4) = -151

5 0

4 years ago

If A=(0,0) and B=(8,2), what is the length of AB

NeX [460]

Answer:

$\boxed{\sf Distance_{AB}= 8.24 \ units }$

Step-by-step explanation:

Here two points are given to us and we need to find the distance between the two points . The given points are , A(0,0) and B(8,2) . The distance between the two points can be found out using the Distance Formula , which is ,

Distance Formula:-

$\sf\implies \green{ Distance =\sqrt{ (x_2-x_1)^2+(y_2-y_1)^2}}$

Therefore on substituting the respective values ,we can find the Distance as ,

$\sf\longrightarrow Distance = \sqrt{ ( 0 - 8)^2 + (0-2)^2}$

Simplify the brackets ,

$\sf\longrightarrow Distance =\sqrt{ (-8)^2+(-2)^2}$

Square the numbers inside the squareroot ,

$\sf\longrightarrow Distance =\sqrt{ 64 + 4}$

Add the numbers inside the squareroot ,

$\sf\longrightarrow Distance = \sqrt{68}$

Find the value of squareroot,

$\sf\longrightarrow \boxed{\blue{\sf Distance = 8.24 \ units }}$

Hence the distance between the two points is 8.24 units .

3 0

3 years ago

Math question down below

Dafna11 [192]

3.3 ft --- 1 m
11.4 ft --- x m

x = 11.4/3.3 ≈ 3.45 m

3 0

3 years ago

Read 2 more answers

Simplify: (6x^3)÷(3x+12)​

Simplify: (6x^3)÷(3x+12)