Find the future value of the ordinary annuity. Interest is compounded annually, unless otherwise indicated.

R = $1,000, i = 0.04, n = 14

The number that can complete the equation 5y + 2(3y − 1) = ⬜y − (y + 2) is

5y + 2(3y − 1) = 12 y − (y + 2)

The number that can complete the equation is computed by simplifying the equation at the left hand side of the equality sign and comparing with the right side of the equality side

The comparison will show the number that can fit in the blank

Simplifying the equation at the left hand side of the equation

= 5y + 2(3y − 1)

= 5y + 6y − 2

= 11y - 2

Simplifying the equation at the right hand side of the equation

=  ⬜y − (y + 2)

let x represent the missing number

=  xy − (y + 2)

=  xy − y - 2

comparing both equations

11y - 2 =  xy − y - 2

11y =  xy − y

11y + y =  xy

12y = xy

x = 12

The missing value = 12

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Answer: just dont know

Step-by-step explanation:

:)

From the given number line, the variable "m" could take the values of -2, -3.5, 0, and -5

To determine which values the variable "m" could take from the given number line, we need to identify the points or intervals on the number line that correspond to the possible values of "m".

Looking at the number line, we can see the following values:

-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5

From this list, the values that "m" could take are:

-2, -3.5, 0, -5

These values are present on the number line, indicating that they are possible values for "m".

Therefore, the variable "m" could take the values -2, -3.5, 0, and -5 from the given number line.

It's important to note that the values -7 and 4 are not present on the number line, so they are not possible values for "m" based on the information provided.

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Answer:

Step-by-step explanation:

Probability = expected outcome/total outcome

If a bag contains 3 red balls, 8 blue balls and 11 white balls, then the total outcome will be;

Total outcome = 3 + 8 + 11 = 22 balls

Since we are drawing two balls with replacement;

Probability of drawing red ball = number of red/total outcome = 3/22

Probability of drawing white ball = number of while/total outcome = 11/22 = 1/2

Probability of drawing red first and then white = 3/22 * 1/2

Probability of drawing red first and then white  = 3/44

To the nearest tenth, 3/44= 0.1

In percent = 6.8%

Answer:

0.90

Step-by-step explanation:

Just like a decimal to a percentage number, you must multiply by 100. By converting a percentage number to a decimal point, you must divide it by 100. Which means, the decimal must move 2 times.

For example,

0.90 x 100 = 90%

This is decimal to percentage number, but in this case it is percentage to decimal.

90%.

Since the number ended at 0, put the decimal there and move it 2 times to get to your decimal point.

.90 = 0.90

There you'll get your answer! ^^

90% = 0.90

18-x=180/-9

what does x equal

well do 180/-9=-20

then you need to do -20+18 whic equals -2.

there you go

hpoe i helped

Answer:

Let the number be x

7(x+3) = 2

so,

7(x+3) = 2

7x + 21 = 2

7x = 2 - 21

7x = -19

x = -19/ 7

x = -2.714 (approximately)

Answer:

The degrees of freedom are:

\(df=n-1=10-1=9\)

The confidence level is 0.95 or 95%, the significance would be \(\alpha=0.05\) and \(\alpha/2 =0.025\), the critical value for this case would be \(t_{\alpha/2}=2.262\)

And replacing we got:

\(54.7-2.262\frac{9.956}{\sqrt{10}}=47.58\)    

\(54.7+2.262\frac{9.956}{\sqrt{10}}=61.82\)    

Step-by-step explanation:

Information given

In order to calculate the mean and the sample deviation we can use the following formulas:  

\(\bar X= \sum_{i=1}^n \frac{x_i}{n}\) (2)  

\(s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}}\) (3)  

\(\bar X= 54.7\) represent the sample mean

\(\mu\) population mean  

s=9.956 represent the sample standard deviation

n=10 represent the sample size  

Confidence interval

The confidence interval for the mean is given by the following formula:

\(\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}\)   (1)

The degrees of freedom are:

\(df=n-1=10-1=9\)

The confidence level is 0.95 or 95%, the significance would be \(\alpha=0.05\) and \(\alpha/2 =0.025\), the critical value for this case would be \(t_{\alpha/2}=2.262\)

And replacing we got:

\(54.7-2.262\frac{9.956}{\sqrt{10}}=47.58\)    

\(54.7+2.262\frac{9.956}{\sqrt{10}}=61.82\)    

Answer:

I believe the answer is D.

\(\huge\boxed{Answer\hookleftarrow}\)

D

\(\huge\boxed{Explanation\hookleftarrow}\)

Mark as Brainliest

Answer:

P = 17.50x + 200

Step-by-step explanation:

x is the number of hours worked

P is how much money Geoff earns

Answer:616 dollars, didn't include his hours worked overtime.

Step-by-step explanation:

Alright, so he makes $14 per hour and it doubles on overtime.

28 for overtime

and 44(hours worked) times 14(amount earned each hour) equals 616 dollars

Here sorry if this doesn't help

Answer:

The answer is nothing

Step-by-step explanation:

There is nothing to explain

Answer:

A:

2(x + 2) + 2(2x - 5) =

2x + 4 + 4x - 10 =

6x - 6

perimeter = 6x - 6

B:

(x+2)(2x - 5)            expand the brackets:

2x² - 5x + 4x - 10

area = 2x² - x - 10

C:

area = 6x - 6 = (6 x 5) - 6 = 30 - 6 = 24

perimeter = 2x² - x - 10 = (2 x 5²) - 5 - 10 = (2 x 25) - 5 - 10 = 50 - 5 - 10 = 35

brainliest please? x

Answer:

\( - \frac{11}{3} \: \: » \: \: 90\% \: » \: \: 2 \: \: » \: \: \frac{89}{4} \)

The mass of the sun using Newton's form of Kepler's 3rd law is;

M = 1.99 * 10³⁰ kg

Newton's form of Kepler's 3rd law shows us the orbit of a planet around the Sun. This relates the semi major axis distance of the orbit to the period of the orbit using the equation:

p² = (4π²/GM) * a³

Where:

p is the orbital period;

G is the gravitation constant;

M is the mass of the Sun;

a is the orbit semi major axis distance.

Making M the subject gives;

M =  (4π²a³/Gp²

Plugging in;

Now for planet Earth:

a = 1.496 * 10¹¹m

p = 3.154 * 10⁷ s

Putting in those values to find M is;

M = 1.99 * 10³⁰ kg

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The proportion that represents the down payment is 20% or 0.2 of the condominium's value.

2. The down payment is $25,000.

The down payment is the proportion required to secure a purchase transaction.

The down payment is an upfront cost that the purchaser settles in cash before being granted a long-term credit (loan or mortgage).

The purpose of a down payment is to reassure the lender of the borrower's ability to repay the loan.

To compute the down payment, apply the down payment percentage or proportion to the value of the asset.

The cost of the condominium = $125,000

Down payment = 20%

20% = $25,000 ($125,000 x 20%)

Mortgage loan = $100,000 ($125,000 - $25,000)

Thus, in this situation, the down payment is 20% of the cost of the property.

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Answer:

\(V=1152\)

Step-by-step explanation:

Given that,

   The base of the object is a circle whose radius is 6.

     i.e   \(x^2+y^2=36\)

         \(\Rightarrow y^2=36-x^2\\\Rightarrow y=\sqrt{36-x^2}\)

Now, Volume \(=\int\limits^6_{-6} ({2\sqrt{36-x^2})^2} \, dx\)        \([\because \text{one side of square}=2\sqrt{36-x^2} \\ \quad \quad A=S^2=(2\sqrt{36-x^2})^2 ]\)

               \(\Rightarrow V=\int\limits^6_{-6} {4(36-x^2)} \, dx\)

               \(\Rightarrow V=\int\limits^6_{-6} {(144-4x^2)} \, dx\)

                \(\Rightarrow V=[144x-\frac{4x^3}{3}]^6_{-6} \, dx\)

                         \(=(864-288)-(-864+288)\)

                         \(=576+576\)

                         \(=1152\)

                 \(\Rightarrow V=1152\)

Answer:

  C.  One solution

Step-by-step explanation:

You want to know the number of solutions of a system of equation such that the graph of the linear function touches the graph of the quadratic function at its minimum.

The number of real solutions of the system of equations is equal to the number of points of intersection of their graphs. The problem statement tells you the graphs intersect at one point, so there is one solution.

__

Additional comment

The linear function can only touch the minimum of a quadratic if its graph is a horizontal line.

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The required solution of the given inequality is {m | 6 ≤ m < 9}.

In mathematics, inequality is a statement of an order relationship between two numbers or algebraic expressions that is greater than, greater than or equal to, less than, or less than or equal to.

According to question:

We can solve the inequality as follows:

3 + m ≥ 9 or 1 + 2m < 19

Subtracting 3 from both sides of the first inequality, we get:

m ≥ 6

Subtracting 1 from both sides of the second inequality and then dividing by 2, we get:

m < 9

Putting these two inequalities together, we get:

6 ≤ m < 9

This is the solution in interval notation. To write it in set-builder notation, we can use the following notation:

{m | 6 ≤ m < 9}

This means the set of all values of m such that m is greater than or equal to 6, and less than 9.

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The value of the piecewise function h(x) at x = 2 is (b) -1

From the question, we have the following parameters that can be used in our computation:

Part 1:

h(x) = x cubed for x less than negative 3

Part 2:

h(x) = 2 times x squared minus 9 for negative 3 is less than or equal to x which is less than 4,

Part 3

h(x) = 5 times x plus 4, for x greater than or equal to 4

When the above statements are represented properly, we have the following equations

Part 1: h(x) = x³ for x < -3

Part 2: h(x) = 2x² - 9 for -3 ≤ x < 4

Part 3: h(x) = 5x + 4, for x ≥ 4

To calculate the function h(2), we use the domain -3 ≤ x < 4

So, we have the following function

h(x) = 2x² - 9

Substitute the known values in the above equation, so, we have the following representation

h(2) = 2(2)² - 9

Evaluate the expression

h(2) = -1

Hence, the value is (b) -1

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Complete question

The piecewise function h(x) is shown on the graph.

the function is defined by part 1, which is x cubed for x less than negative 3, part 2, which is 2 times x squared minus 9 for negative 3 is less than or equal to x which is less than 4, and part 3 which is 5 times x plus 4, for x greater than or equal to 4

What is the value of h(2)?

Answer:

-4 and 8

Step-by-step explanation:

-4 x 8 = -32

-4 + 8 = 4

The two numbers that multiply to -32 and add up to 4 are -8 and 4.

To find two numbers that multiply to -32 and add up to 4, we can use a factoring approach or trial and error.

Let's consider two numbers, x and y, such that:

xy = -32 (Equation 1)

x + y = 4 (Equation 2)

We need to find values of x and y that satisfy both Equation 1 and Equation 2 simultaneously.

By trying different pairs of numbers, we can find that -8 and 4 satisfy both equations:

-8 * 4 = -32 (Equation 1)

-8 + 4 = 4 (Equation 2)

Therefore, the two numbers that multiply to -32 and add up to 4 are -8 and 4.

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Answer and Explanation:

The Prolog rule expresses that logical implication (:-) describes the relationship between facts.

Prolog expressions are containing truth-functional symbols, which have the same intervention as in predicate calculus.

For example:  

English Predicate calculus prolog

and ^ ,

or v ;

By using information, given in the question,

We can make prolog:

Grandfather(X, Y)  :-mother(M,Y), father(X,M); father (F, Y), father(X,F)

Prolog (:- ) means define,

Prolog (,) represents a conjunction

And

Prolog (;) represent a disjunction

Evaluating the function from the given graph, g(-9) = 1.

To find the value of a function for a given x-value using a given graph, trace the x-value against the corresponding y-value on the y-axis.

To evaluate the function from the graph given, for g(-9), find the y-value that corresponds to the x-value of -9.

The graph shows that when x = -9, the corresponding y-value is 1.

Therefore, g(-9) = 1.

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Answer:

Step-by-step explanation:

Total pencils = 10 + 10 + 10 = 30 pencils

Option A 1/30 is the correct answer

Answer:

5905.51 in

Step-by-step explanation:

Answer:

x = 10

y = 4

Step-by-step explanation:

5x-4y=24 ------>( 1 )

-2x+7y=12 ------>( 2 )

( 1 ) × 2

(2) × 5

10x - 8y - 10x + 35y = 48 + 60

27y = 108

27 27

y= 4

5x - 4× 4 = 24

5x - 16 = 24

x = 10

Question 24 :

P594.65 : 35 days

P594.65/7 : 35/7 days

P84.95 : 5 days

⇒ A. P84.95

Question 25 :

88.75 + 85.5 + 90.5 + 87.25 / 4

352/4

88

⇒ B. 88

Question 26 :

I = P × r × t

I = 580.00 × 0.065 × 1

I = P37.70

⇒ B. P37.70