You have two different saving accounts.for A, the interest earned after 18 months is 12.00. For account B, the interest earned after 27 months is 27.00 Which account earned you the most interest in the first year? Explain your answer

Answer:3 square root 27c7 • 3 square root 250c2 can be simplified by applying the property of square roots, (√a * √b) = √(ab) .

So, 3 square root 27c7 • 3 square root 250c2 = √(27c7 * 250c2) = √(27250c7c2) = √(675c7*c2) = √(675c9) = √(675) * √(c9) = 15c3

Therefore, 3 square root 27c7 • 3 square root 250c2 = 15c3 is the equivalent expression.

Step-by-step explanation:

Answer: -2a+b-2

Step-by-step explanation:

Answer:

The change in gravitational potential energy from point A to point B can be calculated using the formula:

ΔU = mgh

Where:

m = mass of the pendulum = 1.5 kg

g = acceleration due to gravity = 9.8 m/s^2

h = change in height = yB - yA = 0.12 m - 0.04 m = 0.08 m

So, the change in gravitational potential energy from A to B is:

ΔU = (1.5 kg)(9.8 m/s^2)(0.08 m) = 1.176 J

So, the change in gravitational potential energy from A to B is 1.176 Joules.

The relationship between the trigonometric ratios of the non-right angles in a triangle and the measures of the angles are;

1.) c.) They are reciprocals

2.) a.) They are equal

3. b.) They are complementary

The non-right angles in a right triangle are he two acute angles in the right triangle.

1) Complementary angles are angles that have a sum of 90°

Let A and B be two complementary angles, we get;

m∠A + m∠B = 90°

Let a and b represent the lengths of the opposite sides to the complementary angles ∠A and ∠B

Let side a represent the side opposite to the angle ∠A and let side b  represent the side opposite to the angle ∠B, we get

tan(A) = a/b tan B = b/a

Therefore, tan(B) is the reciprocal of tan(A)

The correct option is c,) They are reciprocals

2) Let r represent the length of the hypotenuse of the right triangle, we get;

sin(A) = a/r

cos(A) = b/r

sin(B) = b/r

cos(B) = a/r

The values, sin(A) = cos(B), and sin(B) = cos(A), therefore;

3) The sum of angles in the right triangle is 180°, therefore;

m∠A + m∠B + 90° = 180°

m∠A + m∠B = 180° - 90° = 90°

m∠A + m∠B = 90°

The sum of the two non-right angles in a triangle is 90°,  therefore, the two non-right angles re complementary.

The correct option is therefore; b.) They are complementary

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Answer:

B

Step-by-step explanation:

The numbers are the same so they would be on the same place on the number line.

Answer:

If A = B, where on the number line will A appear?

The correct answer is B. In exactly the same location as B.

This is because when we say A = B, it means that A and B have the same value, meaning they are located in the same place on a number line.

The vertex form of the equation of the parabola is the quadratic equation y - 3 = - 3 · (x + 4)².

Parabolae are represented by quadratic equations, there are two forms for such equations: (i) standard form, (ii) vertex form. The vertex form of the equation of the parabola is shown below (please notice that parabola is parallel to y-axis when axis of symmetry is a vertical line):

y - k = C · (x - h)²

Where:

If we know that h = - 4, k = 3 and (x, y) = (- 3, 0), then the equation of the parabola in vertex form is:

C = (y - k) / (x - h)²

C = (0 - 3) / [(- 3) + 4]²

C = - 3 / 1²

C = - 3

The equation of the parabola in vertex form is the quadratic equation y - 3 = - 3 · (x + 4)².

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Answer:

15

Step-by-step explanation:

1+3+5+4+2

Using substitution method to solve the system of linear equations, the value of x and y are 4 and -24 respectively.

A system of linear equations is a set of two or more linear equations that contain two or more variables. The goal of solving a system of linear equations is to find the values of the variables that satisfy all of the equations in the system simultaneously. Linear equations are equations that can be written in the form of ax + by = c, where a, b, c, x and y are constants.

In this problem, the equations are

Using substitution method;

Put the value y in eq(i) into eq(ii)

-2x - (-6x) = 16

-2x + 6x = 16

4x = 16

x = 4

Put x = 4 into equ(i)

y = -6(4)

y = -24

The value of x and y are 4 and -24

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Total thingamajigs made by Karen, Sue and Peter = 48 and same as the number of widgets.

Multiply means enlarge or increase. Adding equal number of groups is termed as multiply. Multiply 4 by 4 means 4 is added to 4 in 4 times.

given, Karen can make 1 widget in 1 hour.

In a 1-hour time period Sue can make 1 widget

Peter can make 4 widgets in 1 hour.

If they all work 8 hours in a day, then total number of widgets made by them will be

= 1 × 8 + 1×8 + 4×8 =48

They together can make 48 widgets in a day.

similarly, Karen can make 4 thingamajigs in 1 hour.

Sue can make 1 thingamajig in 1 hour.

Peter can make 1 thingamajig in 1 hour.

In total 8 hours period they together can make (4×8 + 1×8 +1×8)

48 thingamajigs.

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Answer:

Step-by-step explanation:

jake has 2 apples

if bob gotta two apples and Jake took it away then how many apples does bob have

Step-by-step explanation:

Answer: looks like [tex]a^{7}[/tex]

Is that one of the answer choices?

Answer:

C

Step-by-step explanation:

kilograms x pounds of dog food = ?

2.2 x 25 = 55

process of elimination;;;

A- correct answer, wrong setup

B- wrong answer, correct setup

C- correct answer, correct setup. makes the most sense

D- wrong answer, wrong setup

Correct answers:

1. -5(х+3)

1. -5(х+3)2. 5(-х-3)

Answer:

option 4th is answer ...............

-5x-15 =-5(x-3)

Answer: [tex]x=9[/tex]

Step-by-step explanation:

[tex]3^{x-2}=3^7\\\\x-2=7\\\\x=9[/tex]

150°

The correct answer is 150°

Answer:

Step-by-step explanation:

will make a purchase is dependent on a variety of factors. These include the product or service being offered, the price point, the customer's needs and wants, the customer's current financial situation, and the salesperson's ability to effectively communicate the value of the product or service. Many businesses will use analytics and data to track customer purchasing habits and trends, as well as the effectiveness of their marketing and sales strategies. This allows them to better determine the probability of a sale. Additionally, a salesperson's past performance, customer relationships, and other factors all influence the probability of a sale. Ultimately, the probability of any given sale is unique to each customer and situation.

Answer:

Step-by-step explanation:

First, we need to convert the area of 15 feet by 10 feet to square feet. That is 15*10 = 150 sq ft.

We know that 22 people fit comfortably in a 150 sq ft area, so we can estimate the number of people that can fit in a given area by dividing the area by the number of square feet per person.

So if we have an area of 10 feet deep on one side of the street along a 1-mile section of a parade route, we can estimate the number of people that can fit in that area by using the following equation:

(Area of crowd) / (Square feet per person) = Number of people

We know that 1 mile = 5280 feet, so the area of the crowd is 10*5280 = 52,800 sq ft.

Now we can estimate the number of people that can fit in that area by dividing the area by the number of square feet per person:

52,800 sq ft / 150 sq ft/person = 352 people

So, we can estimate that around 352 people can fit comfortably in a crowd that is 10 feet deep on one side of the street along a 1-mile section of a parade route.

Answer:

Third choice on the screenshot:
Yes, because the determinant of the coefficient matrix is 8

Step-by-step explanation:

If the determinant of a coefficient matrix is zero, then the linear system of equations it represents has no solution.

Here the coefficient matrix is

[tex]\begin{pmatrix}2&4\\ \:-1&2\end{pmatrix}[/tex]

The determinant of a matrix
[tex]\begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}[/tex]

is [tex]\:ad-bc[/tex]

So
[tex]\det \begin{pmatrix}2&4\\ -1&2\end{pmatrix} = 2\cdot \:2-4\left(-1\right) = 8[/tex]

Since it is non-zero, the system of equations will have a unique solution

Answer:

Step-by-step explanation:

It has to be option D by looking at the question.

It says, that it is $5.50 per hour for kids.

If x is the hours, then total cost spent just for the kid will be $5.50x

It also says there is a flat $3 admission. So just add that to the equation.

$5.50x + 3 ≤ 20.

20 ( given)

Thanks

The floor that Ramon lives on, given the address that Ramon gave his friend in Johannesburg, is Floor 18.

Ramon's Flat number, given the address, is Flat 34.

In South Africa, there is a way to write the floor that a person stays on and the flat number, in the address that they give to you. The format is such that the first two numbers would represent the floor number. This means that an address of 0208 would means that the floor number is the 2nd floor.

The second two numbers would then be the flat number of the person which means that an address of 0208 would have a flat number of 08.

Ramon's address of 1834 Norman Heights Hillbrow Johannesburg would then be Floor 18 and Flat 34.

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Answer:

This is a sequence of numbers that can be expressed as a linear function. The linear function would be of the form y = mx + b, where m is the slope of the line and b is the y-intercept. In this case, m = 3 and b = 7, so the linear equation for this sequence is y = 3x + 7.

Pls mark as brainliest :) ty

The system of inequalities that defines how many of each you can take is: C≥12,E≥6,C+E≤26. Option A

The questions says that you must take at least 12 core credits

let core courses be = C

This tells us that C has to be greater than or equal to 12

C ≥ 12

Then it says that you must take at least 6 electives as well. This would be represented in the same way.

E = elective

E ≥ 6

Lastly, it says that you can take no more than a total of 26 credits

Hence your credit has to be 26 in number or less.

This would be written as C + E ≤ 26

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Complete question

To graduate you must take at least 12 core credits and 6 electives credits and you can take no more than a total of 26 credits. Write a system of inequalities that defines how many of each you can take.

C≥12,E≥6,C+E≤26

C+E≥18,C+E≤26

C+E≥18,C+E<26

C≤12,E≤6,C+E≤26

Answer:

E

Step-by-step explanation:

Let x be the initial value

  after 1 year    value = 1.1 x

          after 2 yrs   v = 1.1 * 1.1 x

                after 3 yrs   v = 1.1 * 1.1 * 1.1 x

                     after 4 yrs    v = 1.1 * 1.1 * 1.1 * 1.1 x

or simply :    value = ( 1.1)^n x     where n = number of years

                       for n= 4 years    value = (1.1)^4 x = 1.4641 x

           this represents a .4641 increase or  46.41 % increase  Answer E

Answer:

To determine the amount of the investment after 7 years, we can use the formula:

A = P(1 + r/n)^(nt)

Where:

A = the future value of the investment (the amount after 7 years)

P = the initial principal or investment amount ($2750)

r = the annual interest rate (3.5%)

n = the number of times the interest is compounded per year (quarterly)

t = the number of years the investment is held (7)

First, we convert the annual interest rate to a decimal: 3.5% = 0.035

Then we convert the interest rate to a quarterly rate by dividing by the number of times it is compounded per year: 0.035 / 4 = 0.00875

We can now substitute these values into the formula:

A = $2750(1 + 0.00875)^(4*7)

A = $2750(1.00875)^28

A = $2750(1.3471)

A = $3710.82

So, the amount of the investment after 7 years is $3710.82, rounded to the nearest hundredth.

Answer:

Step-by-step explanation:

set up the composite function and simplify: first one is -3, second is -2

Answer:

-6/5

Step-by-step explanation:

Perpendicular definition is that two gradients multiplying each others must equal to -1. This can be written in the form of [tex]\displaystyle{m_1m_2=-1}[/tex] where m stands for gradient or slope.

First, we know that the gradient of a line is 5/6, we'd have to find another gradient that is perpendicular to each other. Hence, substitute in the equation:

[tex]\displaystyle{\dfrac{5}{6}m_2=-1}[/tex]

Solve for [tex]m_2[/tex], multiply both sides by 6 first:

[tex]\displaystyle{\dfrac{5}{6}m_2 \times 6=-1 \times 6}\\\\\displaystyle{5m_2=-6}[/tex]

Divide both sides by 5:

[tex]\displaystyle{\dfrac{5m_2}{5}=\dfrac{-6}{5}}\\\\\displaystyle{m_2=-\dfrac{6}{5}}[/tex]

Therefore, the gradient that is perpendicular to 5/6 is -6/5

The gradient of a line perpendicular to a line with a gradient of ⅚​ is -5/6.

We have,

A line perpendicular to a line with a gradient of ⅚​ will have a gradient that is the negative reciprocal of ⅚​.

The negative reciprocal of ⅚​ can be found by taking the reciprocal of ⅚​ (which is 6/5) and then negating the result.

So the gradient of the perpendicular line is:

-1/(6/5) = -5/6

Therefore,

The gradient of a line perpendicular to a line with a gradient of ⅚​ is -5/6.

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Answer: find zero on the number line then put a dot on -7/5 (-1 2/5) then do the same on positive 7/5 (1 2/5

Step-by-step explanation:

find zero on the number line then put a dot on -7/5 (-1 2/5) then do the same on positive 7/5 (1 2/5 . I think that is correct sorry if it isnt.

Step-by-step explanation:

Answer: Each roll of fabric had 86.4 inches of fabric.

Step-by-step explanation:

Each roll of fabric used in the annual school play had a length of 14.4yd / 6 rolls = 2.4 yards of fabric.

1 yard = 36 inches

so, 2.4 yards = 2.4 x 36 inches = 86.4 inches

Each roll of fabric had 86.4 inches of fabric.

Explanation: The problem states that Chau used 6 rolls of blue fabric, and the total length of fabric used was 14.4 yards. Dividing the total length of fabric by the number of rolls gives the length of each roll, which is 2.4 yards or 86.4 inches.

Answer:

None of the above

Step-by-step explanation:

Beacuse,

3*65 +9*55 = 690miles

4*65 + 8*55 = 700 miles

6*65 + 6*55 = 720 miles

8*65 + 4*55 = 740 miles

The total length is 750miles which is not suitable in this above four answers

Luke save $10 after buying 5 boxes.

What is a function?

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

Here, we have

Given: Luke buys a certain brand of cereal that costs $11 per box. Luke changes to a super-saving brand of the same size.

The function of the first cereal is

y = 11x

Now, another cereal that Luke decides to buy is $9 per box, which is expressed

y = 9x

Now, the difference between the costs is $2, because 11-9=2.

So, the original brand costs $2 more than the super-saving brand.

Now, if Luke buys 5 cereal boxes per month, the cost in each case would be

y = 11(5) = 55

y = 9(5) = 45

Luke is saving per month 55 - 45 = $10

Hence, Luke save $10 after buying 5 boxes.

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