Roberta has a balance of $4350 on a credit card with an APR of 30.2% paying off her balance in which of these lengths of time will result in her paying the least amount of interest?

Answers

Answer 1
Answer:

Answer:

8 months

Step-by-step explanation:

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Question is: Solve -7(x+6)=4(x+6)

What is the solution of the system? {5x−y=−21 x+y=−3 Enter your answer in the boxes. (( , )

Answers

Answer:

The solution of the given system of equation is (-4, 1)

Step-by-step explanation:

Given system of equation  5x− y = −21 and  x+y= −3

We have to find the solution of the given system of equation.

Consider the

Given system of equation

5x− y = −21  .......(1)

x + y = −3 .......(2)

Adding (1) and  (2) , we have,

⇒ 5x - y + (x + y ) = -21 + (-3 )

⇒ 5x - y + x + y = -21 - 3

⇒ 5x + x  = -24

⇒ 6x  = -24

⇒ x  = -4

Substitute x = -4 in (2) , we get,

x + y = −3 ⇒  (-4) + y = −3 ⇒ y = -3 + 4 ⇒ y = 1

Thus,  the solution of the given system of equation is (-4, 1)

5x - y = -21
y = 5x + 21

Substituting into:
x + y = -3

x + 5x + 21 = -3
6x = -24
x = -4
y = 5(-4) + 21
y = 1

Solution: (-4,1)

The polynomial 2x3 − 5x2 + 4x − 10 is split into two groups, 2x3 + 4x and −5x2 − 10. The GCFs of each group is then factored out. What is the common binomial factor between the two groups after their GCFs have been factored out?

a)2x + 5
b)2x − 5
c)x2 − 2
d)x2 + 2

Answers

2x³ - 5x² + 4x - 10

(2x³ + 4x) + (-5x² - 10)

2x(x² + 2) - 5(x² + 2) = Answer is Choice D. x² + 2

The common binomial factor between the two groups after their GFCs factored out 2x + 5.

The correct option is (A)

What  is GCF?

The greatest commonfactor (GCF) of a set of numbers is the largest factor that all the numbers share.

Given: 2x³ - 5x² + 4x - 10, splits into (2x³ + 4x) + (-5x² - 10)

So, to find the GCF factorise each term

= (2x³ + 4x) + (-5x² - 10)

= 2*x*x*x+2*2*x-5*x*x-2*5

= 2x(x²+2)-5(x²+2)

= (2x-5) (x²+2)

Hence, the  common binomial factor between the two groups (2x-5).

Learn more about GCF here:

brainly.com/question/11444998

#SPJ5

Which is the better buy on hamburger meat?2 lbs. for $4.50
3 lbs. for $6.90
Click on the correct answer.

Answers

Answer:

2 lbs. for $4.50

Step-by-step explanation:

Do a ratio

2 : 4.50

You want to see how much it cost per pound, so divide them by 2

2 ÷ 2 : 4.50 ÷ 2

1 : 2.25

So per pound, the hamburger will cost $ 2.25

________________________________________________________

3 : 6.90

You want to see how much it cost per pound, so all you need to do is divide them by 3

3 ÷ 3 : 6.90 ÷ 3

1 : 2.3

So for the first one, it cost 2.25 per pound, and for the second one, it cost 2.3 per pound....the one that is better will be 2.25 because it cost 5 cents less than the second one

Hope this helped!

Have a supercalifragilisticexpialidocious day!

The coordinates of the vertices of ANGLE RST are R(-3,5), and S(4,5), and T(4,-2). Find the side lengths to the nearest hundredth and the angle measures to the nearest degree.

Answers


Side lengths: RS=7 and ST=7, and angle=90 degrees

Why?

Since second coordinates of R and S are the same so we can just count the length by adding first coordinate of R and first coordinate of S= |-3|+4=7

Since first coordinates of R is the same as first coordinate of T so we can just count  the length  by adding second coordinates of S and T=5+|-2|=7

Angle: RST is =90 degrees because triangle RST is right angled  triangle. Why? Because RS is parallel to X axis(the same second coordinates of R and S) and ST is parallel to Y axis(the same coordinates of S and T) .


The box plots below show the lifespan, in months, of laptop batteries manufactured by two companies:Based on the data, which company's batteries have the smallest median lifespan?

Company A
Company B
Company C
Company D

Answers

Company:     minimum    Q1        Median      Q3     maximum
A                      19           19.5        23            23.5       24
B                       21           22          24            25          26
C                       20           21          22            24          28
D                       19           20          22.5         23.5       27

The company that has the smallest median life span is Company C. Its battery only has a lifespan of 22 months.

Company C is the correct answer!

What is x2-4x=2x+24 equal to 0

Answers

make equal to zero
x^2-4x=2x+24
minus 2x both sides
x^2-4x-2x=24
minus 24
x^2-6x-24=0
comlpete the square
isolate x^2 and x term
(x^2-6x)-24=0
take 1/2 of -6 and square it (-6/2=-3 (-3)^2=9) and add to both sides inside parethaes
(x^2-6x+9)-24=9
factor perfect square
(x-3)^2-24=9
add 24 both sides
(x-3)^2=33
sqrt both sides
x-3=+/-√33
add 3 to both sides
x=3+/-√33

x=3+√33 or 3-√33