The Jacobsens are planning to build a house in a new development. They can either build the base model offered by the builder or add any of the following options: deck, hot tub, security system, or hardwood flooring. How many different variations are possible

The different variations that is possible are :

-16 ways

Number of available options other than the base model = 4.

Jacobsen can choose :

Base model OR (base model + one option) OR (base model + 2 options) OR (Base model + 3 options) OR (Base model + 4 options)= 4C0 + 4C1 +

4C2 + 4C3 + 4C4

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16 ways

Step-by-step explanation:

Number of available options other than the base model = 4

Hence ;

Jacobsen can choose :

Base model OR (base model + one option) OR (base model + 2 options) OR (Base model + 3 options) OR (Base model + 4 options)

4C0 + 4C1 + 4C2 + 4C3 + 4C4

Recall:

nCr = n! / (n-r)!r!

Using calculator :

4C0 + 4C1 + 4C2 + 4C3 + 4C4

1 + 4 + 6 + 4 + 1

= 16 ways

step-by-step explanation:

so first find out how much each is worth.

quarter= 25 cents

dime= 10 cents

pennies= 1 cent

then multiply each by how much each is worth.

200                     150                   300

x                         x                     x   1

  25                       10              

                                  300

1000                     1500

+                          

4000                                      

5000                                  

then count 2 from the back and add a period.

$50.00

$15.00

$3.00

and then add them

  $50.00

+

  $15.00

+

    $3.00

$68.00

so sunghee has $68.00

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there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1