Which financial tool is most important when planning for your future financial goals?
Enrolling in a checking account
Creating a budget
Mortgaging a house
Taking on extra debt

Answer:

8(x + 6) = 144

Step-by-step explanation:

We can start building this equation by making everything equal to 144 since the problem is representing the total number of apples:

? = 144

Next, we don't know how many apples are in each basket, so we can represent it with a variable, x.

Since 6 apples are added to each basket we will simply add 6 to the "x" amount of apples in each basket:

x + 6 = 144

Lastly, according to the scenario, we have 8 baskets, each holding "x" amount of apples plus the extra 6 that was added, so it will be multiplied:

8(x + 6) = 144

The population proportion of non-fatal accidents that involved the use of a cell phone is 0.03567

A population proportion is known as the share of a population that belongs to a particular group. The Confidence intervals are used to estimate population proportions.

as per given in the question,

The total number of accidents (n) are 600

The accidents involving cell phones (x) are 214

the sample proportion (\(\hat p\)) = x/n

where

x is the count of the successes

n is the total size of the population

P is the population proportion

=> 214/600

=> 0.3567

the estimated point for population proportion is

\(\hat p\) = 0.03567

To learn more about Population proportion:

https://brainly.com/question/15804154

#SPJ4

Answer:

1,875

Step-by-step explanation:

75x25=1,875

a. To determine if there are any arbitrage opportunities in the market, we need to check if the payoff matrix A is linearly dependent on the price vector S.

If A and S are linearly dependent, then there are no arbitrage opportunities. If they are linearly independent, we can construct an arbitrage portfolio.

In this case, we observe that the rank of the matrix A is 2, which is less than the number of columns (3). Therefore, A and S are linearly dependent, indicating that there are no arbitrage opportunities in this market.

b. To find the no-arbitrage price of the security with payoff b, we need to determine the weights of the basis assets that replicate the payoff vector b. We can do this by solving the equation A * x = b, where A is the payoff matrix and x is the vector of weights.

The equation, we get the following system of equations:

x₁ + x₃ = 5

3x₁ + 2x₂ + x₃ = 4

Solving this system of equations, we find x₁ = 2, x₂ = -1, and x₃ = 3.

Therefore, the no-arbitrage price of the security with payoff b is given by the dot product of the weights and the price vector S:

No-arbitrage price = (2 * 1) + (-1 * 2) + (3 * 1.5) = 3 + (-2) + 4.5 = 5.5

To know more about no-arbitrage price refer here:

https://brainly.com/question/32739282#

#SPJ11

38% of all the students watched the game.

Let's anticipate that there are 100 college students inside the school.

Given:

Now, we will calculate the number of boys and girls in the college:

25% of the girls watched the school production:

So, the whole number of college students who watched the school production = 12 + 26 = 38

Consequently, the percentage of all of the college students who watched the game = (38/100) * 100 = 38%.

Therefore, 38% of all the students watched the game.

Learn more about Percentage Calculations:-

https://brainly.com/question/24537681

#SPJ1

Answer:

x = 42.5

Step-by-step explanation:

A triangle formed inside of a circle using the diameter as one of its side lengths is a right triangle

The right angle would be the angle opposite of the diameter (∠C)

A right angle has a measure of 90°

That being said we use this equation to solve for x

90 = 2x + 5

step 1 subtract 5 from each side

90 - 5 = 85

5 - 5 cancels out

now we have 85 = 2x

step 2 divide each side by 2

85/2=42.5

2x/2=x

we're left with x = 42.5

The measure of PQT = 142.

We know what ray QS bisects angle PQT. If you draw out angle PQT and ray QS you can see that angle PQS is congruent to angle SQT. Because of the definition of angle bisector. This also means that angle SQT is half of PQT. Because of this we know that we can set the measure of PQT equal to 2 times the measure of SQT.

So we can set up and solve the following equation as such:

2(8x-25) = 9x +34

16x - 50 = 9x +34

7x -50 = 34

7x = 84

x = 12

Again I this doesn't seem to be your final answer. To find the answer the measures of each angle you're going to want to plug 12 in for x for one of the angles. So I'll do it for angle SQT.

8(12) - 25

96 -25

71

So the measure of angle SQT should be 71. Therefore since QS bisects PQR, the measure of angle PQS should also be 71. The measure of PQT should be double that which makes it 142.

To know more about angle

visit-:https://brainly.com/question/28451077

#SPJ9

Oregon has 5 golf course per 100,000 people.

The butterfly method for adding or subtracting fractions is:

Write the fractions side by side as you normally would, but this time draw two wings along the diagonals formed by the numerator of one fraction and the denominator of the other fraction.

Multiply the numbers in each wing as shown by the wings, which resemble a multiplicand.

To give it a body, join the lower halves of the wings together to form a loop that resembles a body. Then, multiply the two denominators it joins to place the result within the body.

Adjust the numbers in the antennas in accordance with how fractions are being altered, then add or subtract the resulting value from the body number.

If required, simplify or minimize the outcome.

Given that the golf course for 4301089 people is 190.

4201089 = 190

100000 = x

Using the butterfly method for multiplication we have:

x = 190 * 100000 / 4201089

x = 5

Hence, Oregon has 5 golf course per 100,000 people.

Learn more about cross multiplication here:

https://brainly.com/question/15209325

#SPJ1

Answer:

5,386,830

Step-by-step explanation:

The calculation (3.4876)/(4.11+1.2) should be reported with three significant figures: 0.657.

To determine the number of significant figures in the answer to the calculation (3.4876)/(4.11+1.2), we need to consider the number of significant figures in the given values and apply the rules for significant figures in mathematical operations.

First, let's analyze the number of significant figures in the given values:

- 3.4876 has five significant figures.

- 4.11 has three significant figures.

- 1.2 has two significant figures.

To perform the calculation, we divide 3.4876 by the sum of 4.11 and 1.2. Let's evaluate the sum:

4.11 + 1.2 = 5.31

Now, we divide 3.4876 by 5.31:

3.4876 / 5.31 = 0.6567037...

Now, let's determine the number of significant figures in the result.

Since division and multiplication retain the least number of significant figures from the original values, the result should be reported with the same number of significant figures as the value with the fewest significant figures involved in the calculation.

In this case, the value with the fewest significant figures is 5.31, which has three significant figures.

Therefore, the answer to the calculation (3.4876)/(4.11+1.2) should be reported with three significant figures: 0.657.

To learn more about   significant figures click here:

brainly.com/question/31437050

#SPJ11

Answer:

The price of each t-shirt is independent from the total but the total amount depends on the number of t-shirts sold, hence:

The ordered pairs:

Answer:

12.8t=m

Ordered pairs:-

\(\\ \sf\longmapsto t(1)=12.8(1)=12.8\)(1,12.8)

\(\\ \sf\longmapsto t(2)=12.8(2)=25.6\)(2,25.6)

\(\\ \sf\longmapsto t(3)=12.8(3)=38.4\)(3,38.4)

\(\\ \sf\longmapsto t(4)=12.8(4)=51.2\)(4.51.2)

\(\\ \sf\longmapsto t(5)=12.8(5)=64.0\)(5.64.0)

On A type Fa,La,Do on B Type Mi,So,Ti

1) All angles of a rectangle are right angles, so the measure of angle CBA is 90 degrees.

2) Since all angles of a rectangle are right angles, angle BAD measures 90 degrees. Subtracting the 25 degrees of angle BAW from this, we get that angle CAD has a measure of 65 degrees.

3) Opposite sides of a rectangle are parallel, so by the alternate interior angles theorem, the measure of angle ACD is 25 degrees.

4) Because diagonals of a rectangle are congruent and bisect each other, this means BW=WA. So, since angles opposite equal sides in a triangle (in this case triangle ABW) are equal, the measure of angle ABW is 25 degrees. This means that the measure of angle CBD is 90-25=65 degrees.

5) In triangle AWB, since angles in a triangle add to 180 degrees, angle BWA measures 130 degrees.

6) Once again, since diagonals of a rectangle are congruent and bisect each other, AW=WD. So, the measures of angles WAD and ADW are each 65 degrees. Thus, because angles in a triangle (in this case triangle AWD) add to 180 degrees, the measure of angle AWD is 50 degrees.

Given statement solution is :- The value of m is -98/9.

The correct answer is A. -98/9.

To determine the value of m in the given system of equations, we need to find the condition under which the system has no solutions.

The system of equations can be written in matrix form as:

css

Copy code

[  9  -7 ]   [ x ]   [ 11 ]

[ 14   m ] * [ y ] = [  6 ]

For this system to have no solutions, the coefficient matrix [ 9 -7 ; 14 m ] must be singular, which means its determinant must be zero.

Determinant of the coefficient matrix:

det([ 9 -7 ; 14 m ]) = (9 * m) - (-7 * 14) = 9m + 98

Setting the determinant equal to zero, we have:

9m + 98 = 0

Solving for m:

9m = -98

m = -98/9

Therefore, the value of m is -98/9.

So, the correct answer is A. -98/9.

For such more questions on Find value m for no solutions.

https://brainly.com/question/13725258

#SPJ8

Answer:

$966

Step-by-step explanation:

Given that $630 was invested in 1997

At a constant rate the value grew to $840 in 2002.

This implies that $210 was gotten in 5years:

$(840-630)=$210

and 2002-1997= 5years

therefore, to determine the value of the account in 2005: 2005-1997=8years

$210=5years

$x=8years

CROSS MULTIPLY

5x= 210×8

5x=1680

x=$336

Value of account in 2005 will be: $630+$336=$966

Therefore $966 was made in the next 8years(2005).

Answer:

Rs. 1186 is the required answer.

Step by step answer:

Given:

Principle (P)=$1500

Rate of Interest (R)= 6%

Time period (T)=10 years

Compound Interest (CI)=P((1+6/100)^T-1)

=1500((1+6/100)^10-1)

= Rs. 1186 (approximately)

Answer:

2.5 or 2 1/2 apples.

Step-by-step explanation:

5/2 simplified will be 2.5 or 2 1/2.

If you look into it further, because Richard had 15 apples, you subtract 2 1/2 apples he gave Pam which would leave him with 12.5 or 12 1/2. But really the answer is two and a half apples.

Answer:

the answer is graph B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

edge 2021

Answer:

5/2

Step-by-step explanation:

\( {( \frac{4}{25} )}^{ - \frac{1}{2} } \)

Apply indices rule and Simplify

\( \frac{1}{ {( \frac{4}{25} )}^{ \frac{1}{2} } } = \frac{1}{ \sqrt{ \frac{4}{25} } } = \frac{1}{ \frac{2}{5} } \\ = \frac{1}{1} \div \frac{2}{5} \)

\( = \frac{1 \times 5}{1 \times 2} \\ = \frac{5}{2} \\ = 2 \frac{1}{2} \)

b#~8=+/"1 sep b=.a#~54=|a-10#.|."1 sep a=.10 to 99

17 71

Alternately:

10#.b#~(8=+/"1 b)*.54=|a-10#.|."1 b=.sep a=. 10 to 99

17 71

The answer is 71.

71 - 17 = 54.

Answer: T= 5 and s =17

Step-by-step explanation: Use the midpoint formula

Solve for T

^xm=^xC+^xD/2

15+t/2=10

15+t=20

Solve for S

^ym=^yC+^yD/2

s+3/2=10

s+3=20

The answer to your question is: A value for a variable that has a z score less than -3.00 or greater than +3.00 may be considered C. An outlier.

A value for a variable that has a z score less than -3.00 or greater than +3.00 may be considered an outlier. This is because an outlier is defined as a data point that is significantly different from other data points in the same sample. In this case, a z score of less than -3.00 or greater than +3.00 indicates that the value is more than three standard deviations away from the mean, which is a rare occurrence. Therefore, it is likely to be an outlier.

To know more about variable visit :-

https://brainly.com/question/15078630

#SPJ11

summing-up the values for equation of line y = x/2 + 1 in table :

x       y

-10   -4

-6    -2

-2     0

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

Here, the given equation is :

y = x/2 + 1

Now, computing the value of y corresponding to values of x by substituting values in above equation :

when x = -10 :

y = x/2 + 1

y = -10/2 + 1

y = -5 +1

y = -4

similarly, for :

x = -6 , y = -2

x = -2 , 0

summing-up the above values in table that is attached below :

x       y

-10   -4

-6    -2

-2     0

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

Now to draw the line graph of above equation taking any two coordinates let us say (-2,0) and (-2,-6). Now drawing the line joining these two points as shown in figure attached below.

check and know more about function here :

https://brainly.com/question/12431044

#SPJ1

Answer:

3.6cm

Step-by-step explanation:

the points lie in order like this

A.....B.....C

we know that A......B......C total spans 4cm (or 40mm)

we know that A......B spans 4mm

we need to know the length of B......C

B......C = A.......B.......C - A.....B = 40mm - 4mm = 36mm = 3.6cm

Answer:

7.029  

Step-by-step explanation:

i sucj at math srry, have a nice day