Which geometric model using algebra tiles represents the factorization of x2 – 5x

The answer is the first tile choice.

Step-by-step explanation:

Step-by-step explanation:

The factorization of x² - 5x + 6 can be determined thinking critically about two numbers, that if we multiply those two numbers together it will result into a value of +6 and if we add those numbers together , we will have -5

The numbers are -3 and -2 ; if we multiply -3 and -2 , we have = 6

If we add -3 + (-2) ; we have,

-3-2 = -5

Now the factorization of

x² - 5x + 6 = 0 is as follows.

x² - 3x - 2x + 6

By factorization,

x(x - 3) - 2 (x - 3) = 0

(x - 2) or  (x-3) = 0

Now, using An algebra tile configuration. The diagrammatic expression showing how an algebraic tile configuration should looks like can be found in the attached image below.

Hint:

Let represent ,

1   =   x² tile

-5 = - x tiles

6  =  1 tiles

Stella would have $15036 more than Chloe.

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

Considering Chloe's investment,

P = 42000

r = 4.5% = 4.5/100 = 0.045

n = 1 because it was compounded once in a year.

A = 42000 × 3 = 126000

Therefore,.

126000 = 42000(1 + 0.045/1)^1 × t

126000/42000 = (1.045)^t

3 = (1.045)^t

Taking log of both side,

Log3 = tlog1.045

0.4771 = 0.019t

t = 0.4771/0.019

t = 25.11

Approximately 25 years

Considering Stella's investment,

t = 25

P = 42000

r = 4.875% = 4.875/100 = 0.04875

n = 4 because it was compounded 4 times in a year.

Therefore,

A = 42000(1 + 0.04875/4)^4× 25

A = 42000(1 + 0.0121875)^100

A = 42000(1.0121875)^100

A = 42000 × 3.358

A = $141036

The difference in amount would be

141036 - 126000 = $15036