Esther deposited $5,000 into an account that grows at a rate of 8% per year. To the nearest cent, how much will be in the
account after 5 years?

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Work Shown:

4x^2 - 8x - 192

4(x^2 - 2x - 48)

4(x - 8)(x + 6)

We see that (x - 8) is one factor

To factor x^2-2x-48 into (x-8)(x+6), we need to find two numbers that

Through trial and error you should find the two values are -8 and 6 since

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Another approach is to use the quadratic formula to solve x^2-2x-48 = 0. You should find that the two roots are x = 8 and x = -6.

Those two roots lead to the equations x-8 = 0 and x+6 = 0.

Then use the zero product property to get (x-8)(x+6) = 0

This shows that x^2-2x-48 factors to (x-8)(x+6)

Answer:

I’m pretty sure it’s A

Answer:

Day 13

Step-by-step explanation:

If you add on both side 13 time you get 90

Answer:

45 mph

Speed =distance ÷ time

X=450÷10

X=45

Answer:

Jaycee sold 28 candy bars

Step-by-step explanation:

Jayce and Rylee are selling candy bars for a school fundraiser. Rylee sold 84 candy bars and raised $210. If Jayce raised $70, how many candy bars did he sell?

From the above question:

$210 = 84 candy bars

$70 = x candy bars

Cross Multiply

210 × x = 70 × 84

x = 70 × 84/210

x = 28 candy bars

Therefore, Jaycee sold 28 candy bars

Answer:

They have the same slope

Step-by-step explanation:

Given

[tex]y = -\frac{5}{2}x[/tex]

[tex]y = -\frac{5}{2}x + 8[/tex]

Required

Determine the true statement about both lines

An equation has a general format of:

[tex]y = mx + b[/tex]

Where

[tex]m = slope[/tex]

By comparing this to the equations of both lines, we have that:

For line 1:

[tex]m = -\frac{5}{2}[/tex]

For line 2:

[tex]m = -\frac{5}{2}[/tex]

Compare the slopes of both lines, we have that:

[tex]m = m = -\frac{5}{2}[/tex]

Hence, we can conclude that both lines have the same slope

Answer:  12

Step-by-step explanation:

Answer:

Step-by-step explanation:

we need to remove the parenthesis first

x(y-w+z)=xy-xw+xz

(I copied this from another answer, but hope it helps!)

Answer:

Step-by-step explanation:

I don't know how to help you by the way you're really pretty

Answer:

Step-by-step explanation:

Speed is:

Time is:

Distance is:

Answer:

a relation that is a function

Step-by-step explanation:

Answer:

Each payment should be £172.5

Step-by-step explanation:

Cost of electricity for next year = £600

Administration charge = 15%

Daryl wants to pay in four equal instalments throughout the year,

How much should each payment be?

First we need to find the total cost of bill by adding 15% of administration charge by finding 15% of 600

[tex]15\% \:of\: 600\\=\frac{15}{100}\times 600\\= 90[/tex]

So, 15% of 600 is 90

Now adding 90 into the electricity cost:

600+90

= 690

Now, the total cost of electricity bill is £690

Daryl wants to pay in four equal instalments.

So, divide 690 by 4

Each payment for instalments is: [tex]\frac{690}{4} = 172.5[/tex]

So, Each payment should be £172.5

Answer:6%

Step-by-step explanation:

Answer:

$12.664

Step-by-step explanation:

Answer:

5√2

Step-by-step explanation:

(5√2)^2 is 50 .........

Answer:

(5√2)^2

Step-by-step explanation:

hope this helps!

~mina

Answer:

The commission is $6335

Step-by-step explanation:

Step one:

given

The sale price of the house was $90,500

the commission is 7% of the sale price

Required

The amount of the commission

Step two:

the amount of the commission can be calculated as follows

[tex]=7/100*90500\\\\=0.07*90500\\\\=6335[/tex]

Answer:

A: Checking account

Step-by-step explanation:

While credit cards and debit cards supply your money in transactions, a Checking account simply holds it.

Answer:

%35 of 200 is 70

Step-by-step explanation:

so it maybe 70

am i right

Answer:

70% percent of cards

Step-by-step explanation:

If I am wrong pls correct me

Answer: It is a 6 percent decrease

Step-by-step explanation:

125,000-117,500=7,500

(125,000)(0.06)=7,500

Answer:

sum of interior angle of a triangle is 180 degree

so,

3x +7 + 2x+7 +3x+6 = 180

8x + 20 = 180

8x = 180 - 20

8x = 160

x = 160/ 8

x = 20

May it will help you

Answer:

x = 20

Step-by-step explanation:

According to angle sum property of a triangle , sum of all the angles in a triangle is equal to 180°.

So,

[tex](3x + 7) + (2x + 7) + (3x + 6) = 180[/tex]

[tex] = > 8x + 20 = 180[/tex]

[tex] = > 8x = 180 - 20 = 160[/tex]

[tex] = > x = \frac{160}{8} = 20[/tex]

Answer:

lol

Step-by-step explanation:

Some oone idea about this ??

Answer:2 3/5

Step-by-step explaination:

Answer:

13 ez 1 hard

Step-by-step explanation

13-26

1-5

26 + 5 = 31

Answer:

she did 5 hard chores and 3 easy chores

Step-by-step explanation:

5+5+5+5=20

20+2+2+2+5=31

Answer:

5600 square feets

Step-by-step explanation:

Let [tex]l, b[/tex] denote length and breadth of the rectangular shaped bedroom.

The total distance around Regina rectangular shaped bedroom is 300 feet.

[tex]2(l+b)=300\\l+b=150[/tex]

The length of the room is 80 feet.

Put [tex]l=80[/tex]

[tex]80+b=150[/tex]

[tex]b=150-80=70[/tex] feets

Area of the rectangular shaped bedroom [tex]=lb=80(70)=5600[/tex] square feets.

Answer: The first option:

x ≤ -2  and 2x ≥ 6

Step-by-step explanation:

A compound inequality will have no solution if the inequalities are contradictory.

An example of this would be:

x > 3 and x < 1

There is no value of x that is at the same time larger than 3, and smaller than 1.

Now, let's analyze the options.

1) x ≤ -2  and 2x ≥ 6

This has no solution, because if x ≥ -2, the maximum value that x can take is x = -2

Replacing that in the other inequality we get:

2*(-2) > 6

-4 > 6

This is false, then this compound inequality has no solution.

2) x ≤ -1  and 5*x < 5

This ineqalty has infinite solutions, one can be x = -2

-2 ≤ -1 and 5*(-2) < 5

are both true.

3) x ≤ -1 and 3x ≥ -3

A solution for this can be x = -1

-1 ≤ -1  is true

3*(-1) ≥ -3

-3 ≥ -3 is true.

Then we have at least one solution here.

4) x ≤ -2  and 4x ≤ -8

Here we have infinite solutions, one can be x = -10

-10 ≤ - 2 is true

4*(-10) ≤ -8

-40 ≤ - 8 is also true.

Then the only option that has no solutions is the first one.

Answer:

Difference in dollars: $3.01

Step-by-step explanation: