Suppose $600 is compounded yearly for 20 years. If no other deposits are made, what rate is needed for the balance to triple in that time? Round your answer to the nearest hundredth of a percent.

Answer:

x=4

Step-by-step explanation:

First you need to factor the equation. You can do this by multiplying the numbers by eachother so they have a denominatior of 12.

You would come out to have this...

((x+2)*4)/12 + ((2x-4)*3)/4=3

At this point you can combine the numerators over the common denominator.

((x+2)*4+(2x-4)*3)/12=3

You can now rewrite the equation into factored form.

5x-2/6=3

Multiply both sides of the equation by 6.

5x-2=18

move the terms not containing x to the right

5x=20

and divide by 5

x=4

Answer:

I hope it helps you......

ok                                                         its 11 sqrt 6                                    

because if sqrt 6 is x, and 5x +6x=11x

so its 11 sqrt 6              

Answer:

h=−6, k=−30

Step-by-step explanation:

did on edge

Considering the equation of the parabola, the coefficients of the vertex are:

h=−6, k=−30

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](h,k)[/tex]

In which:

[tex]h = -\frac{b}{2a}[/tex]

[tex]k = -\frac{b^2 - 4ac}{4a}[/tex]

In this problem, the equation is:

[tex]f(x) = x^2 + 12x + 6[/tex]

Hence the coefficients are a = 1, b = 12, c = 6, thus:

[tex]h = -\frac{12}{2} = -6[/tex]

[tex]k = -\frac{120}{4} = -30[/tex]

More can be learned about the equation of a parabola at https://brainly.com/question/24737967

Answer:

y = 10

Step-by-step explanation:

y = 2x + 6

Let x  =2

y = 2*2 +6

y = 4+6

y = 10

Answer:

Step-by-step explanation:

[tex]y = 2x + 6 \\ x = 2 \\ y = 2(2) + 6 \\ y = 4 + 6[/tex]

[tex]y = 10[/tex]

Answer:

Step-by-step explanation:

Since the sequence is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

From the question

d = 6

a = 2

n = 12

So the 12th term of the sequence is

A(12) = 2 + (12-1)6

= 2 + 11(6)

= 2 + 66

Hope this helps you

Answer: It is option 2 or B

Step-by-step explanation: Simple and easy, the test said it was right too.

Answer:

80 in²

Step-by-step explanation:

8/10 = x/100

x = 80

31

because 15 +16 :31

[tex]. = y1 = \times [/tex]

Answer:

Does this sample provide convincing evidence that the machine is working properly?

Yes.

Step-by-step explanation:

Normal distribution test:

[tex]$z=\frac{x- \mu }{ \frac{\sigma}{\sqrt{n}} }=\frac{ (x-\mu)\sqrt{n}}{\sigma} $[/tex]

Where,

[tex]x: \text{ sample mean}[/tex]

[tex]\sigma: \text{ standard deviation}[/tex]

[tex]n: \text{ sample size determination}[/tex]

[tex]\mu: \text{ hypothesized size of the screw}[/tex]

[tex]$z=\frac{(1.476-1.5)\sqrt{200} }{0.203 } $[/tex]

[tex]$z=\frac{(-0.024)10\sqrt{2} }{0.203 } $[/tex]

[tex]z \approx -1.672[/tex]

Once the significance level was not given, It is usually taken an assumption of a 5% significance level.

Taking the significance level of 5%, which means a confidence level of 95%, we have a z-value of [tex]\pm 1.96[/tex]

Therefore, we fail to reject the null. It means that the hypothesis test is not statistically significant: the average length is not different from 1.5!

Part A

Answer:  33.2 degrees F

Explanation: Adding on a negative is the same as subtracting. So 72.3 + (-39.1) = 72.3 - 39.1 = 33.2

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Part B

Answer: 70 +  2   +  0.3    + (-30) + (-9) + (   -0.1   )

Explanation:

Think of 72 as 70+2. Furthermore, think of 72.3 as 70+2+0.3; we just break the number up into its corresponding digits (adding zeros when needed). The 7 is in the tens place, the 2 is in the units or ones place, and the 3 is in the tenths place.

Similarly, we have 39.1 break down into 30+9+0.1, in which all three terms are made negative to represent -39.1

================================================

Part C

Answer:   70 + (-30) + 2 + (-9) + 0.3 + ( -0.1  )  

Explanation: Arrange the tens place value items to be next to each other. Same goes for the units place value, and also the tenths place value.

================================================

Part D

Answer:  [70 + (-30)] +  [ 2 + (-9) ] + [ 0.3 + ( -0.1  ) ]

Explanation: Take the result of part C and surround each pair of terms in square brackets to show how the terms pair up.

Answer:

p(x) = (x + 1) (x - 3) (x + 2)

Step-by-step explanation:

x³ - 7x - 6

(x+1) (x² - x - 6) found by doing long division

(x+1) ( x - 3) (x + 2) are the factors

The polynomial p(x) as a product of linear factors is; p(x) = (x + 1) (x - 3) (x + 2)

They are mathematical expressions involving variables raised with non negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non negative exponentiation of variables involved.

We are given the polynomial as;

x³ - 7x - 6

Then we found by doing long division;

(x+1) (x² - x - 6)

(x+1) ( x - 3) (x + 2)

These are the factors.

Hence, The polynomial p(x) as a product of linear factors is; p(x) = (x + 1) (x - 3) (x + 2)

Learn more about polynomials here:

https://brainly.com/question/27343162

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Answer:

2

Step-by-step explanation:

In order to make the equation undefined, you should make the denominator 0. Remember that dividing anything by 0 will become undefined.

[tex]2x-4=0\\\frac{2x=4}{2} \\x=2[/tex]

Answer:

[tex]\boxed{x = 2}[/tex]

Step-by-step explanation:

A rational expression is undefined when Denominator = 0

Here Denominator = 2x-4

So,

=> 2x - 4 = 0

Adding 4 to both sides

=> 2x = 4

Dividing both sides by 2

=> x = 2

Answer:

Step-by-step explanation:

First, we can find the measures of center for each group.

Group A

Mode: 1

Median: (1 + 2) / 2 = 3 / 2 = 1.5

Mean: (1 * 5 + 2 * 4 + 3) / 10 = (5 + 8 + 3) / 10 = 16 / 10 = 1.6

Group B

Mode: 3

Median: 92 + 3) / 2 = 5 / 2 = 2.5

Mean: (1 * 3 + 2 * 2 + 3 * 4 + 5) / 10 = (3 + 4 + 12 + 5) / 10 = 24 / 10 = 2.4

From here, we can see that...

Hope this helps!

Answer:

ABC

Step-by-step explanation:

Answer:

483,000

Step-by-step explanation:

hope this helps :)

Answer:

The answer is 483,000 as an ordinary number

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hello!

X: content of sugar of a sample of cereal.

Data set:

0.03, 0.24, 0.30, 0.47, 0.43, 0.07, 0.47, 0.13, 0.44, 0.39, 0.48, 0.17, 0.13, 0.09, 0.45, 0.43

n= 16

[tex]\frac{}{X}[/tex]= 0.295g

S= 0.17g

You have to test if the mean sugar content is less than 0.3g

H₀: μ ≥ 0.3

H₁: μ < 0.3

α: 0.05

Assuming that the variable has a normal distribution, you have to conduct a t test:

[tex]t= \frac{\frac{}{X}-Mu }{\frac{S}{\sqrt{n} } } ~~t_{n-1}[/tex]

[tex]t_{H_0}= \frac{0.295-0.30}{\frac{0.17}{\sqrt{16} } } = -0.12[/tex]

p-value: 0.4533

The p-value is greater than α, the decision is to not reject the null hypothesis.

At a 5% significance level the decision is to not reject the null hypothesis. You can conclude that the average sugar content of the cereal is equal or greater than 0.3g of sugar per gram of cereal.

I hope this helps!

Answer:

17 cans

Step-by-step explanation:

18 cans

7 are taken away

18-7 =11

Then we put 6 back on

11+6 = 17

There are now 17 cans

Answer:

n = 4

Step-by-step explanation:

4(2n + 3) = 44

Expand the brackets.

4(2n) + 4(3) = 44

8n + 12 = 44

Subtract 12 on both sides.

8n + 12 - 12 = 44 - 12

8n = 32

Divide both sides by 8.

(8n)/8 = 32/8

n = 4

Answer:

Option B

Step-by-step explanation:

When we compare the number of shirt with it's cost, we find out that 8 shirts cost $120.

For more understanding, see the attached file.

Answer:

D

Step-by-step explanation:

If you put the equation into a graphing calculator it will give ou a function than is a straight line that is stretched vertically by 3 units

Answer:

k=5

a= -5

Step-by-step explanation:

if the polynomial x^4-6x^3+16x^2-25x+10 is divided by x^2-2x+k the remainder comes out to be x+a,find k and a

Solution

x^4-6x^3+16x^2-25x+10 / x^2-2x+k = x-a

We have,

(4k-25+16-2k)x+[10-k(8-k)] = x+a

(2k+9)x + (10-8k+k^2)=x+a

2k-9=1

2k=1+9

2k=10

Divide both sides by 2

2k/2=10/2

k=5

And

10-8k+k^2=a

10-8(5)+(5^2)=a

10-40+25=a

-5=a

Therefore, a=-5

x^4-6x^3+16x^2-25x+10 divided by x^2-2x+5 = x-5

Answer:

The center is ( 1,-3) and the radius is 3

Step-by-step explanation:

The equation of a circle can be written in the form

( x-h)^2 + ( y-k) ^2 = r^2 where ( h,k) is the center and r is the radius

(x-1)^2 + (y+3)^2= 9

(x-1)^2 + (- -3)^2= 3^2

The center is ( 1,-3) and the radius is 3

Answer:

9.16

Step-by-step explanation:

We know that

Total expense = price of sugar * consumption

let price of sugar was 100

So total expense = 100*10=1000

But now new expense =1100 (I,e.10% more than 1000)

and new price =120(i,e. 20% more than 100)

So new consumption = new expense/ new price=

1100/120

=110/12

=9.16

HOPE IT HELPS :)

PLEASE MARK IT THE BRAINLIEST!

Answer:

16 2/3 %   or approx. 16.67%

Step-by-step explanation:

Original price = 100%

New price = 100+20% = 120%

To reduce back to 100%

we need to reduce 20% from 120 % = 20/120 = 1/6 = 16 2/3 % = 16.7% approx.

Answer:

Step-by-step explanation:

what do u see!????????

Answer: Jennifer didn't randomly assign participants to the control and experimental group.

Step-by-step explanation: In the scenario discussed above, Jennifer failed to perform a random assignment of the participants who took part in the survey, that is the experimental group, those who receive the treatment and the control group, those who don't. Random assignment is required in other to address the issue of bias in our experiment. She was supposed to perform a random assignment of the participants to the two groups instead of asking them to make a choice.

Answer:

did you already try A???

Answer:

Probability : [tex]\frac{5}{33}[/tex]

Step-by-step explanation:

The probability of drawing an orange on the first attempt would be 5 / 12, considering that in this first attempt their are 5 oranges present out of a total of 12 fruits. Now after that fruit is chosen their are 4 out of 11 oranges present, such that the probability of drawing an orange on the second attempt would be 4 / 11.

Probability of choosing an orange on the first try : [tex]5 / 12[/tex]

Probability of choosing an orange on the second try : [tex]4 / 11[/tex]

Probability of selecting two oranges in a row ( blindfolded ) : [tex]5 / 12 * 4 / 11[/tex]

[tex]\frac{5}{12}\cdot \frac{4}{11}[/tex] ( cross cancel common factor 4 )

[tex]\frac{5}{3}\cdot \frac{1}{11}[/tex] ( multiply fractions )

[tex]\frac{5\cdot \:1}{3\cdot \:11}[/tex] = [tex]\frac{5}{3\cdot \:11}[/tex] = [tex]\frac{5}{33}[/tex] - the probability of selecting two oranges in a row blindfolded, is [tex]\frac{5}{33}[/tex].

Answer:

740 m^2

Step-by-step explanation:

Answer:Let PQRS to be the rhombus where PQ=12cm and RS = 16cm

step 1:let,PQ and RS intersect each other at O.Now, diagonals of rhombus bisect each other at right angles.

STEP 2:Since POQ is a right angled triangle, by pythagoras theoram.

STEP 3:After applying formula , PQ =10cm .length of each side of rhombus is 10cm.

Step-by-step explanation:

Answer:

10cm

Step-by-step explanation:

As you can see in the first image is a rhombus with its diagonals 12cm and 16cm

You can see that the diagonals divide the rhombus into four right triangles and that the hypotenuse of each triangle is one side of the rhombus.

In the second image I picked out one triangle from the rhombus and slashed the length of the diagonals of the rhombus in half to get the sides of the triangle.

Now all you have to do is use the Pythagorean theorem to find the hypotenuse of the triangle which will give you the length of side of rhombus

6² + 8² = hypotenuse²

36 + 64 = h²

100 = h²

h = √100

h = 10

All the side of the rhombus are equal so all the sides of the rhombus are 10cm

Answer:

y = 250

Step 1:

To solve, we plug in 50x for y.

[tex]50x=200+10x[/tex]

Then, we subtract the 10x from the right side. Our goal is to get the x by itself first.

[tex]40x=200[/tex]

Then, we divide both sides by 40, since we have to get the x by itself.

[tex]\frac{40x}{40}=x\\\\\frac{200}{40} =5[/tex]

x = 5

Step 2:

Now that we found x, we plug in 5 to the original equation and solve from there.

[tex]y=200+10(5)\\y=200+50\\y=250[/tex]

y = 250