30 points!

Paul has
$20000
to invest. His intent is to earn
9%
interest on his investment. He can invest part of his money at
6%
and part at
10%
interest. How much does Paul need to invest in each option to make a total of 9%
return on his
$20000
?

6%: ?

10%: ?

Answer:

\(g=\frac{\sqrt{(6+T)(6-T)} }{T}\)

Step-by-step explanation:

I hope this helps!! <3

Answer:

no hablo espanol papas fritas papas fritas papas fritas papas fritas papas fritas papas fritas papas fritas papas fritas

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

Answer:

the answer is 5 I think I hope

Answer:

yes

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Therefore, if 24 teaspoons of vegetable oil were used, we would need 16 teaspoons of vinegar to make the recipe correctly.

According to a salad recipe, each serving requires 6 teaspoons of vegetable oil and 9 teaspoons of vinegar. If 24 teaspoons of vegetable oil were used, we can determine the amount of vinegar needed for the recipe to be correct as follows:

First, we must determine the ratio of vinegar to oil in the recipe. To do this, we divide the amount of vinegar needed per serving (9 teaspoons) by the amount of oil needed per serving (6 teaspoons):

9 ÷ 6 = 1.5

This means that for every 1.5 teaspoons of oil used, we need 1 teaspoon of vinegar. Next, we use this ratio to determine the amount of vinegar needed when 24 teaspoons of oil are used:

1.5 ÷ 1 = 1.5

(teaspoons of oil per 1 teaspoon of vinegar)

24 ÷ 1.5 = 16

(teaspoons of vinegar needed)

For such more question on vegetable oil

https://brainly.com/question/5412318

#SPJ8

We can simplify cosec(t)tant(t) to sec(t). A trigonometric function is a mathematical function that relates the angles of a triangle to the ratios of its sides.

The most common trigonometric functions are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc).

To simplify the expression cosec(t)tant(t), we need to use the trigonometric identity:

cosec(t) = 1/sin(t)

tant(t) = sin(t)/cos(t)

Substituting these expressions into the original expression, we get:

cosec(t)tant(t) = (1/sin(t))(sin(t)/cos(t))

The sin(t) term in the numerator and denominator cancel out, leaving:

cosec(t)tant(t) = 1/cos(t)

Recalling the definition of secant, sec(t) = 1/cos(t), we can express the simplified expression as:

cosec(t)tant(t) = 1/sec(t)

Therefore, we can simplify cosec(t)tant(t) to sec(t).

Learn more about trigonometric identity :

https://brainly.com/question/3785172

#SPJ1

When it comes to medication or medical care, the person who would usually face the greatest impact from a discrepancy in dosage is the individual who is undergoing the treatment.

Insufficient dosage may result in a lack of intended therapeutic effects and failure to improve the patient's condition as anticipated. Also, if the amount administered is excessive, the individual may suffer from negative consequences or possible injury.

It should be noted that the effects of a difference in medication dosage can differ based on the type of medicine, the condition being treated, and personal characteristics like age, weight, general health, and specific reactions or sensitivities.

Learn more about dosage from

https://brainly.com/question/29367085

#SPJ1

Answer: 803.84cm3

Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.

To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.

4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.

Now, we have the area of the circle. 50.24cm squared!

The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,

16cm x 50.24cm squared = 803.84cm cubed.

The volume of the can of soup is 803.84cm cubed.

The equation of the line is y = (2/3)x + 13/3 if the equation passes through (1, 5) and (-2, 3).

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The linear equation can be written in form of:

y = mx + c

The points are (1, 5) and (-2, 3)

The equation of the line:

y - 3 = (3 - 5)/(-2-1)[x + 2]

y = -2/(-3)[x + 2] + 3

y = (2/3)x + 4/3 + 3

y = (2/3)x + 13/3

Thus, the equation of the line is y = (2/3)x + 13/3 if the equation passes through (1, 5) and (-2, 3).

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

The system of equations has one solution.

To check this, we can graph the two equations of the system:

y = (-1/3)x + 7

y = -2x³ + 5x² + x - 2

On the same coordinate axis, and check how many times do the graphs intercept.

The graph can be seen in the image at the end, there you can see that there is only one intecept point. Thus, the system of equations has only one solution.

Learn more about systems of equations at:

https://brainly.com/question/13729904

#SPJ1

The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

The complete question is attached in the diagram.

Read more on graphs:

https://brainly.com/question/19040584

#SPJ1

THe value of the expression using BODMAS rule is 26

The abbreviation BODMAS, which stands for "Brackets, Order of powers or roots, Division, and Multiplication," is followed by the BODMAS rule. A stands for addition and S for subtraction. According to the BODMAS rule, multi-step mathematical statements must be solved in the BODMAS order from left to right.

The order of operations, or BODMAS, is a method for carrying out operations in an arithmetic statement. Math is all about logic, and there are several established laws that help us with our calculations. BODMAS is one of the established rules for consolidating multiple operator expressions.

An expression or equation in mathematics has two parts:

A character known as an operator joins two integers to form an expression or equation. The four most often used operators in mathematics are addition (+), subtraction (-), multiplication (*), and division (*/*). Finding the solution to mathematical statements or equations with just one operator is usually rather easy.

The expression is 14 + 2 + 3(4) - (6-1-3) = 14 + 2 + 12 - 2 = 26

To learn more about BODMAS rule refer to :

https://brainly.com/question/16738857

#SPJ1

Answer:

Player A receives $77.34375 of the sakes

Player B receives $22.65625 of the stakes

Step-by-step explanation:

Given that at the time the game was interrupted, we have;

The number of points player A  has = 7 points

The number of points player B has = 5 points

The amount the first player to score 10 points wins = $100

The number of points remaining for player A to win the game = 3

The number of points remaining for player B to win the game = 5

Therefore, the number of trials remaining for a winner to emerge = 3 + 5 - 1 = 7 trials

We take the probability that Player A wins a point as success

We find the likelihood of Plater A winning by using binomial theory as follows;

\(P(S) = \sum\limits_{j=3}^7 \dbinom{7}{3} \cdot \dfrac{1}{2^7} = \dfrac{35}{128} + \dfrac{35}{128} + \dfrac{21}{128} + \dfrac{7}{128} + \dfrac{1}{128} = \dfrac{99}{128}\)

Therefore, given that the likelihood of Player A winning = 99/128

The stakes should be divided such that Player A gets 99/128 share of the stakes while Player B gets 1 - 99/128 = 29/128 share of the stakes

Therefore, Player A gets (99/128) × $100 = $77.34375

Player B gets (29/128) × $100 =  $22.65625

In this case, we'll have to carry out several steps to find the solution.

Step 01:

data:

f(x) = 3x² + 2x

g(x) = 5x

Step 02:

functions:

f(x) * g(x) = (3x² + 2x) * (5x) = 15x³ + 10x²

The answer is:

15x³ + 10x²

The baker can only make peanut butter cookies and cannot make any chocolate chip cookies with the given amount of ingredients.

Let's denote the number of batches of peanut butter cookies as "x" and the number of batches of chocolate chip cookies as "y."

From the given information, we can set up the following system of equations:

For the flour:

2x + 3y = 26

For the butter:

34x + y = 9

To solve this system of equations, we can use the substitution method or the elimination method. Let's use the elimination method:

Multiply the first equation by 17 (to make the coefficients of x in both equations the same):

34x + 51y = 442

Now we have the system of equations:

34x + y = 9

34x + 51y = 442

Subtract the first equation from the second equation:

34x + 51y - (34x + y) = 442 - 9

50y = 433

Divide both sides by 50:

y = 433/50

Since the number of batches of cookies cannot be fractional, we need to find a whole number solution for y. However, in this case, y is a fraction, indicating that the given amount of butter is not sufficient to make even one batch of chocolate chip cookies.

for similar questions on  ingredients.

https://brainly.com/question/1578467

#SPJ8

Answer:

y = 17

Step-by-step explanation:

This is very simple let me show you!

All you have to do is plug in the variable. It asks us to find y when x = 2. Therefore we plug it in!

So 2x would be 2(2) and 4x2 would be 4(2)2

Therefore we get y = 5 - 2 * 2 + 4(2) * 2

Multiply -2 by 2

y = 5 - 4 + 4(2) * 2

Then 4 by 2

y = 5 - 4 + 8 * 2

Then 8 by 2

y = 5 - 4 + 16

Then we subtract 5 from 4

y = 1 + 16

Therefore y = 17.

The amount of money that Theresa has left is equal to £2,740.

In order to write a linear equation to describe this situation, we would assign variables to the cost of flights for each of them and the cost of accommodation for each of them respectively, and then translate the word problem into a linear equation as follows:

Let the variable a represent cost of flights for each of them.

Let the variable f represent cost of accommodation for each of them.

Since Theresa paid for herself and 11 friends to go on holiday with a flight cost of £339 and accommodation cost of £266, a linear equation to describe this situation is given by;

y = 12(a + b)

y = 12(266 + 339)

y = £7,260

For the amount of money left, we have:

Amount of money left = £10,000 - £7,260

Amount of money left = £2,740.

Read more on equation here: brainly.com/question/18912929

#SPJ1

Answer:

d

Step-by-step explanation:

i looked it up

In the equation y = 10 - 0.1x, the coefficient 0.1 represents the slope of the line.

it represents the rate of change of y with respect to x, which is the amount by which y changes for every unit increase in x.

In this case, the slope is negative (-0.1), which means that as the number of minutes on hold (x) increases by 1 unit, the level of satisfaction (y) decreases by 0.1 units.

In other words, the longer a customer spends on hold, the lower their level of satisfaction is likely to be. The slope is a key parameter in the equation and provides valuable information about the relationship between the two variables.

To Know more about variables, visit:

https://brainly.com/question/17344045

#SPJ1

Answer:

t< 47/33

Step-by-step explanation:

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Reggie is left with \(\dfrac{27}{8}\) yarns of fabric.

The total length of fabrics =  \(\dfrac{1}{8}+\dfrac{1}{4}+3\dfrac{1}{2}+2\dfrac{5}{8}+4\dfrac{3}{4}\)

                                            =  \(\dfrac{1}{8}+\dfrac{1}{4}+\dfrac{7}{2}+\dfrac{21}{8}+\dfrac{19}{4}\)

The LCM of 4 and 8 is 8.

So, the expressions will be simplified by adding all the terms with the same denominator.

                      = \(\dfrac{49}{8}\)

The fabric used by Reggie = \(2\dfrac{3}{4}\)

                                              = \(\dfrac{11}{4}\)

The fabric left can be calculated by subtracting the total fabric he used from the total fabric he had.

Fabric left =\(\dfrac{49}{8} - \dfrac{11}{4}\)

The LCM of 8 and 4 is 8

Fabric left = \(\dfrac{49}{8} - \dfrac{22}{8}\)

                 =  \(\dfrac{27}{8}\)

So, he is left with \(\dfrac{27}{8}\) yarns of fabric.

Learn more about expressions here :

https://brainly.com/question/34132400

#SPJ3

Answer:

x≤20

Step-by-step explanation:

x+5≤25

 -5.  -5

x≤20

Hopes this helps please mark brainliest

Answer:

The answer is B

Step-by-step explanation:

20+5=25 and x can be greater than or equal to 25

The recursive rule is f(n) = f(n - 1) * 2; f(1) = 9 and the explicit rule is f(n) = 9(2)^n-1

The recursive rule

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

The table

The table definitions imply that we simply multiply 2 to the previous term to get the current term

This means that

f(n) = f(n - 1) * 2

Where

f(1) = 9

The explicit rule

The table definitions imply that we simply multiply 2 to the previous term to get the current term

a = 9

r = 2

So we have

f(n) = a * r^n-1

This gives

f(n) = 9(2)^n-1

Read more about sequence at

https://brainly.com/question/29431864

#SPJ1

Answer:

$71.62

Step-by-step explanation:

If the college pays 62% of the cost of the medical insurance plan, then Randall pays 38% of the cost himself, since 100% - 62% = 38%.

Randall's Annual Cost

Calculate the annual cost to Randall of the medical insurance plan by finding 38% of the total cost of membership:

\(\begin{aligned}\implies \sf 38\% \:of \:\$4,900 & = \sf \dfrac{38}{100} \times 4900\\\\& = \sf \dfrac{38\times 4900}{100}\\\\& = \sf \dfrac{186200}{100}\\\\& = \sf 1862\\\end{aligned}\)

Therefore, the annual cost to Randall is $1,862.

Deduction from paycheck

As the paycheck is bi-weekly, Randall is paid every 2 weeks.

This means he receives 26 paychecks in a year.

To calculate how much is deducted from his bi-weekly paycheck, divide the annual cost by 26:

\(\implies \sf \dfrac{1862}{26}=71.615384...\)

Therefore, $71.62 is deducted from his biweekly paycheck for medical insurance.

Answer:

4x² + 24x + 36

Step-by-step explanation:

(2x + 6)² = (2x + 6)(2x + 6) = 4x² + 12x + 12x + 36 = 4x² + 24x + 36