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Zepler [3.9K]
4 years ago
10

The polynomial 24x3 - 54x2 + 44x - 99 is factored by grouping.

Mathematics
1 answer:
Juli2301 [7.4K]4 years ago
4 0

Answer:

6x^2 + 11.

Step-by-step explanation:

24x3 - 54x2 + 44x - 99      Re-arranging:

= 24x^3 + 44x - 54x^2 - 99

= 4x(6x^2 + 11) -  9(6x^2 + 11).

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Brandon has two credit cards and would like to consolidate the two balances into one balance on the card with the lower interest
Nostrana [21]

The amount which Brandon have saved in interest by consolidating the two balances on the card with the lower interest rate is $256.12.

<h3>What is monthly payment?</h3>

Monthly payment is the payment which has to paid against the loan amount or the borrowed money calculated with interest rate.

It can be calculated with the following formula.

M=P\left (\dfrac{r}{1-(1+r)^{-nt}}\right)

Here, (<em>P</em>) is the principal amount, (<em>r</em>) is the interest rate and (<em>t</em>) is time.

Brandon has two credit cards and would like to consolidate the two balances into one balance on the card with the lower interest rate.

The table below shows the information about the two credit cards Brandon currently uses.    

  • Cards                Amount              APR             Monthly Payment
  • Card a               $1,463.82              13%                 $24.60
  • Card b               $1,157.98               17%                 $22.14

               

Interest rate for the card a is,

r=\dfrac{13}{12\times100}=0.01083

The time period is 8 years and there are 12 months in one year. Thus, the monthly payment of card A will be,

M=1157.98\left (\dfrac{0.01083}{1-(1+0.01083)^{-12(8)}}\right)\\M=19.47

In the 8 years, there is total 96 monthly payments. Thus, the total payment by card A is,

P_a=19.47\times96=1869.12

For the card B the monthly payment is $22.14. Thus the total payment by card B is,

P_b=22.14\times96=2125.44

The difference in the payment is,

d=2125.44-1869.12\\d=256.12

Hence, the amount which Brandon have saved in interest by consolidating the two balances on the card with the lower interest rate is $256.12.

Learn more about the monthly payment here;

brainly.com/question/2151013

6 0
3 years ago
Y=x​2​​−6x+10​<br> y=4−x​​<br><br><br> How do I substitute?
Shtirlitz [24]

Answer:

(2,2) and (3,1)

Step-by-step explanation:

Since we're given the value of y in the second equation, we can replace the y on the left side of the first equation with 4-x, giving us

4-x=x^2-6x+10\\0=x^2-5x+6

We can factor the expression on the right to get us

0=x^2-5x+6\\0=x^2-3x-2x+6\\0=x(x-3)-2(x-3)\\0=(x-2)(x-3)

Solving x-2=0 and x-3=0 gets us the solutions x=2,3, which we can plug into the second equation to get us

y=4-2=2\\y=4-3=1

So, our solution set is the pair of points (2,2) and (3,1)

7 0
3 years ago
A farmstand sells apples, a, for $4 a bucket; peaches, p, for $6 A bucket; and strawberries, s, for $9 a bucket. The stand earn
PolarNik [594]

Answer:

A.

Step-by-step explanation:

process of elimination. They sold half as many strawberries as peaches.

5 0
3 years ago
Read 2 more answers
Please answer me&lt;br /&gt;bis two fifths of c.&lt;br /&gt;4a = 30&lt;br /&gt;Work out the ratio a:b:c&lt;br /&gt;Give your ans
irina [24]

b is two fifths of c, so we make this a ratio with c = 1.

The ratio of b:c is 2/5 : 1

We also have 4a = 3c, rewrite this ratio so c is 1 by dividing both sides by 4,

so we get the ratio of a to c as 3/4 : 1

Now we get the a:b:c ratio of 3/4 : 2/5 : 1 now we can change the fractions to whole numbers, first by multiplying the 3 numbers by 4 to get get rid of the denominator of 4 in a:

3 : 8/5 : 4

Now multiply the 3 numbers by 5 to remove the denominator  of 5 in b:

15 : 8 : 20

Now we can check using the equations:

b is 2/5 of c:  20 x 2/5 = 40/5 = 8 This is true.

4a = 3c: 4(15) = 3(20) = 60 = 60, this is also true.

The ratios is 15 : 8: 20

7 0
3 years ago
The area of the sector formed by the 110 degree central angle is 40 units squared what is the radius
olga2289 [7]
We know that
area of the circle=pi*r²

if 360° (full circle) has an area of-------------> pi*r²
110°------------------------------> 40 units²
pi*r²=40*360/110--------> pi*r²=130.91------> r²=130.91/pi-----> r²=41.69
r=6.46 units

the answer is
the radius is 6.46 units
7 0
3 years ago
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