Solve for 12 - 3/4(d+16 )=-5

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

son4ous [18]

<span>-7 • (a4 - 81a2 - 162)27
-------------------------------- hope it helps
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5 0

4 years ago

Last year, Deshaun had $20,000 to invest. He invested some of it in an account that paid 9% simple interest per year, and he inv

dezoksy [38]

Answer:

the amount Deshaun invested in an account that paid 9% interest = $9,000

the amount Deshaun invested in an account that paid 5% interest = $11,000

Step-by-step explanation:

Let x = the amount Deshaun invested in an account that paid 9% interest

Let y = the amount Deshaun invested in an account that paid 5% interest.

Thus;

x + y = 20,000 - - - - (eq 1)

Now, After one year, he received a total of $1440 in interest. Thus;

0.09x + 0.05y = 1440

Multiply each term by 100 to give;

9x + 5y = 144000 ---- (eq 2)

Making x the subject in equation 1,we have;

x = 20,000 - y

Putting 20,000 - y for x in eq 2,we have;

9(20,000 - y) + 5y = 1440

180000 - 9y + 5y = 144000

180000 - 4y = 144000

180000 - 144000 = 4y

36000 = 4y

Divide both sides by 4 to give;

y = 36000/4

y = $9,000

x = 20,000 - 9000

x = $11,000

7 0

3 years ago

F(x)=4^x and g(x)=4^x+2

dsp73

Given:

The two functions are:

$f(x)=4^x$

$g(x)=4^x+2$

To find:

The type of transformation from f(x) to g(x) in the problem above and including its distance moved.

Solution:

The transformation is defined as

$g(x)=f(x+a)+b$ .... (i)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left.
If a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up.
If b<0, then the graph shifts b units down.

We have,

$f(x)=4^x$

$g(x)=4^x+2$

The function g(x) can be written as

$g(x)=f(x)+2$ ...(ii)

On comparing (i) and (ii), we get

$a=0,b=2$

Therefore, the type of transformation is translation and the graph of f(x) shifts 2 units up to get the graph of g(x).

3 0

3 years ago

HELP URGENTLY NEEDED STUCK ON THIS FOR 2 DAYS!!!!! LOTS OF POINTS FOR PERSON WHO HELPS!!!

trapecia [35]

Answer:

A

Step-by-step explanation:

2b meaning two times the age then add three like the question says.

6 0

3 years ago

Geometry help please!

photoshop1234 [79]

Algebra is number 3 - You have subtracted the measure of angle HKI from the equation.

Transitive property of equality is number 2 - Because both pairs of angles equal 180 degrees, you can set them equal to each other.

Definition of congruence is number 4 - The congruence symbol is in the equation, which tells you that the two angles are congruent.

Angles forming a linear pair sum to 180 degrees is number 1 - 180 degrees is in the equations given and the angles all form linear pairs.

Hope this helps!! :)

8 0

3 years ago