Sharon started with $42 in her bank account and
added $16 per week. Neil started out $70 in debt and deposited $30 per week. Determine how many weeks it will take them to have saved the same amount of money.

Answer:

The answer is 0.02

Step-by-step explanation:

1/50=0.02

Answer:

102 dollars

Step-by-step explanation:

Answer:

Linear Pair Postulate

Step-by-step explanation:

I took the test and this is the right answer.

Supplementary angles are two angles that add up to \(180^o\). The reason for statement 2 is Linear Pair Postulate​.

From the given figure, we can see that:

When two angles have the above features, the two angles are said to be linear pairs, and they are supplementary.

Hence, the statement that complete the proof is (d) Linear Pair Postulate​

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Answer:

Dave has 9 water bottles

Step-by-step explanation:

All 12 water bottles minus Sam's 3 water bottles equals Dave's 9 water bottles.

12 - 3 = 9

15 - 60%

x - 100%

1500 = 60x

x = 25

∴ There are 25 students in the class in all.

Answer:

Step-by-step explanation:

2/3 x is theg0d of the universe

Answer:

first number is 4

second number is 0

Step-by-step explanation:

y = 1st number

x = 2nd number

system of equations:

5y + 4x = 20

4y + 2x = 16

I multiplied the second equation by -2 to eliminate the 'x-values'

-2(4y + 2x = 16)  =                 -8y - 4x = -32

now add to 1st equation:     5y + 4x = 20

                                              -3y = -12

y = 4

solve for 'x':

5(4) + 4x = 20

20 + 4x = 20

4x = 0

x = 0

We have:

Answer: n⁰ = 55⁰, m⁰ = 50⁰

ok done. Thank to me :>

The final function after transformations, is \(f(x +8) = \sqrt[3]{x+8} - 3\)

The technique of altering an existing graph or graphed equation to create a different version of the following graph is known as graph transformation. The modification of algebraic equations is a typical form of algebraic problems. Sometimes graphs are translated, or moved about the xy-plane; sometimes they are stretched, rotated, inverted, or a combination of these transformations.

Now, there are 2 different transformations applied to the function here.

First Transformation:

\(f(x) = \sqrt[3]{x}\) is translated 3 units in the negative y direction.

After transformation, the function is \(f(x) = \sqrt[3]{x} - 3\).

Second Transformation:

The function \(f(x) = \sqrt[3]{x} - 3\) is translated 8 units in the negative x direction.

After transformation, the function is \(f(x +8) = \sqrt[3]{x+8} - 3\).

Therefore, the final function, after transformations, is \(f(x +8) = \sqrt[3]{x+8} - 3\).

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Answer:

\( {4}^{1} = 4 \\ because \: {a}^{1} = a \\ \: a \: is \: any \: \: real \: number\)

The value of the expression 4¹ will be equal to 4.

Powers can simply be expressed in concise form using exponential expressions. The exponent shows how many times the base has been multiplied. Since 2 is the "base" and 5 is the "exponent,"

It can be represented as 2x2x2x2=25 for the number 32. This phrase should be understood as "two to the fifth power."

Given that the exponential number is 4¹. The value of the exponent will be calculated as,

E = 4¹

E = 4

From the law of exponents, the value of 4¹ will be 4.

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Answer:

P

=  6

/z  +  4

Z =  3/4

Exact Form : 3/4

Decimal Form : 0.75

Answer:

.75

Step-by-step explanation:

6/.75 = 8 + 4 = 12

A triangle contains three vertices, three sides, and three altitudes. The location where these three sides intersect is known as the orthocenter.

Every triangle has a different position for the orthocenter; for example, an equilateral triangle has the same orthocenter, circumcenter, incenter, and centroid, but other triangles will have a different position.

At Point M is at (1, 3) : The orthocenter is located inside an acute-angled triangle in this scenario.

At Point R is at (3, 9) : The orthocenter is located outside the triangle in the case of an obtuse-angled triangle.

At Point E is at (10, 2) : The orthocenter of a right-angled triangle is located at the right angle's apex.

A triangle is a basic three-sided polygon with three vertices. The "orthocenter of a triangle" is the intersection of a triangle's three altitudes, and it is typically depicted by the letter "H." A line segment drawn perpendicularly from each vertex to the opposite side of a triangle's opposing side is the triangle's height.

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If x is the largest side :

If 4.1 is the greatest side :

Range of possible sizes for side 'x' :

The number of trials is typically represented by the letter "n" in statistics. This refers to the number of independent and identical observations that are taken during an experiment or study. The population proportion, on the other hand, is often represented by the letter "p".

This refers to the proportion or percentage of individuals in a population that exhibit a certain characteristic or behavior. For example, if we were studying the proportion of people who prefer chocolate ice cream, "p" would represent the percentage of people in the population who prefer chocolate ice cream.

It's important to note that the number of trials and the population proportion are both key factors in statistical analysis, as they can help researchers draw conclusions about the population as a whole based on a smaller sample size.

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Answer:

Step-by-step explanation:

1/4 :10=1/40

1/40=x/4

x=4/40=1/10

The monthly payment for the car loan is approximately 16,216.38 pesos. The outstanding balance after 2 years is approximately 650,577.85 pesos.

To find the monthly payment for the car loan, we can use the formula for the monthly payment on a loan:

P = (r * PV) / (1 - (1 + r)^(-n))

Where:

P is the monthly payment

r is the monthly interest rate

PV is the loan amount (present value)

n is the total number of payments

In this case, the loan amount PV is 800,000 pesos, the monthly interest rate r is 7% / 12 (since the interest is compounded monthly), and the total number of payments n is 5 years * 12 months/year = 60 months.

Substituting these values into the formula, we have:

P = (0.07/12 * 800,000) / (1 - (1 + 0.07/12)^(-60))

Calculating this expression, we find that P ≈ 16,216.38 pesos.

So, the monthly payment for the car loan is approximately 16,216.38 pesos.

To find the outstanding balance after 2 years, we need to calculate the remaining balance after making monthly payments for 2 years. We can use the formula for the remaining balance on a loan:

Remaining Balance = PV * (1 + r)^n - P * ((1 + r)^n - 1) / r

Where:

PV is the loan amount (present value)

r is the monthly interest rate

n is the number of payments made

Substituting the given values into the formula, we have:

Remaining Balance = 800,000 * (1 + 0.07/12)^24 - 16,216.38 * ((1 + 0.07/12)^24 - 1) / (0.07/12)

Calculating this expression, we find that the outstanding balance after 2 years is approximately 650,577.85 pesos.

So, the outstanding balance after 2 years is approximately 650,577.85 pesos.

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Answer:

2,3

Step-by-step explanation:

you count up 2,then count over three

Answer:

a. 48 salads were bought on Wednesday

b. 42 chickens were bought on Thursday

c. 39 cheese were bought on Friday

Step-by-step explanation:

Given

\(------- M -- T - W -- T -- F\)

Cheese ----- 50 -- 45 - 52 - 47 --39

Salad -------- 61 -- 44 - - 48 - 38 -- 51

Chicken ---- 53 -- 46 - - 39 - 42 -- 52

First, it should be noted that the horizontal data represent the row while the vertical data represent the column.

Having said that, the solution is as follows:

Solving (a): Second Row, Third column

The data at the second row are:

\(------- M -- T - W -- T -- F\)

Salad -------- 61 -- 44 - - 48 - 38 -- 51

The data at the third column is then limited to:

------------------W

Salad -------- 48

So the number at this position implies that: 48 salads were bought on Wednesday

Solving (b): Third Row, Fourth column

The data at the second row are:

\(------- M -- T - W -- T -- F\)

Chicken ---- 53 -- 46 - - 39 - 42 -- 52

The data at the fourth column is then limited to:

------------------- T

Chicken ---- 42

So the number at this position implies that: 42 chickens were bought on Thursday

Solving (c): First Row, Fifth column

The data at the first row are:

\(------- M -- T - W -- T -- F\)

Cheese ----- 50 -- 45 - 52 - 47 --39

The data at the fifth column is then limited to:

------------------F

Cheese ----- 39

So the number at this position implies that: 39 cheese were bought on Friday

Answer:

32

Step-by-step explanation:

The area of a parallelogram is bh where b = base, h = height

This is one of the questions where plotting the points and seeing the parallelogram is vital

See the attached figure

height h = |difference between x-coordinates of A and C| =

= |6 - 2| = 4.

This will be the same as |difference between x-coordinates of B and D

base b = |difference between y-coordinates of A and B| =  |1-(-7)| = 8.

This will be same as |difference between y-coordinates of C and D|

Area = bh = 8 x 4 = 32

Answer:

A : (146-4b)=(122-1b)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solve for x:

Answer:

1/2 (4x-8) + 3x =36

(4x-8+3x×2)/2=36

(4x+6x-8)=36×2

10x-8=72

10x=72+8

x=80/10=8is your answer

The reference angle for 138 is 58.

Let's first sketch the angle and then find its reference angle using the terms you mentioned.

Step 1: Sketch the angle 13π/8
To sketch the angle, first, we need to determine its position on the coordinate plane. Since 13/8 is greater than  (or 8/8), it's located in the third quadrant. As a full circle is 2 (or 16/8), we can determine the angle measured counterclockwise from the positive x-axis as:
Angle = 13π/8

Step 2: Find the reference angle
A reference angle is an acute angle formed between the terminal side of the angle and the x-axis. In the third quadrant, the reference angle is calculated as:
Reference Angle = Angle - π

Now we substitute the values:
Reference Angle = 13π/8 - 8π/8 = 5π/8

So, the reference angle for 138 is 58.

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Answer:

2.2 more kg

Step-by-step explanation:

0.8+3.95=4.75

6.95-4.75=2.2

hope I helped!!

The equilibrium points of the given nonlinear ordinary differential equation dx/dt = x^2 - x - 6 are x = -2 and x = 3.

To find the equilibrium points of the given nonlinear ordinary differential equation, we set dx/dt equal to zero and solve for x. In this case, we have:

x^2 - x - 6 = 0

Factoring the quadratic equation, we get:

(x - 3)(x + 2) = 0

Setting each factor equal to zero, we find two equilibrium points:

x - 3 = 0  -->  x = 3

x + 2 = 0  -->  x = -2

So, the equilibrium points are x = -2 and x = 3.

To determine the stability of these equilibrium points, we can analyze the behavior of the system near each point. Stability is determined by the behavior of solutions to the differential equation when perturbed from the equilibrium points.

For the equilibrium point x = -2, we can substitute this value into the original equation:

dx/dt = (-2)^2 - (-2) - 6 = 4 + 2 - 6 = 0

The derivative is zero, indicating that the system is at rest at x = -2. To analyze stability, we can consider the behavior of nearby solutions. If the solutions tend to move away from x = -2, the equilibrium point is unstable. Conversely, if the solutions tend to move towards x = -2, the equilibrium point is stable.

For the equilibrium point x = 3, we substitute this value into the original equation:

dx/dt = 3^2 - 3 - 6 = 9 - 3 - 6 = 0

Similar to the previous case, the system is at rest at x = 3. To determine stability, we analyze the behavior of nearby solutions. If the solutions move away from x = 3, the equilibrium point is unstable. If the solutions move towards x = 3, the equilibrium point is stable.

In conclusion, the equilibrium points of the given nonlinear ordinary differential equation are x = -2 and x = 3. The stability of x = -2 and x = 3 can be determined by analyzing the behavior of nearby solutions.

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Answer:

There are two ways to find the area of this triangle. One way is to do 19.4 * h / 2 and the other way is to do 17 * 9.4 / 2. Since these are equal we can write:

(19.4h) / 2 = (17 * 9.4) / 2

19.4h = 17 * 9.4  (Multiply the equation by 2 to get rid of the denominators)

h = 17 * 9.4 / 19.4 (Divide by 19.4)

h ≈ 8.2 (Simplify)

Answer:A triangle has a perimeter of 165 cm. The first side is 65 cm less than twice the second side. The third side is 10 cm less than the second side. Write and solve an equation to find the length of each side of the triangle.

The sides can be found by taking the square root of the area. , where = side. . So the length of a side is 6.3 cm.

Step-by-step explanation:

Answer:

-2.2

Step-by-step explanation:

m = y2 - y1/ x2- x1

m = -5 - 6/ 2 --3

m = -11/5

m = -2.2

Answer:

9 is the answer

Step-by-step explanation:

You will multiply 3x3 and 9x1 it will have the least common denominator