Shelby's savings account earns $8 in interest each month. How much interest will she earn in 1 year?

The expression that represents the total amount of discount in dollars is; (48d - 0.18 x 48d)

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by the mathematical symbol; which can b used to indicate the logical syntax's order of operations and other features.

We are given that the reseller has a budget of $800 to purchase desks. Each desk costs an equal amount and is available at a fixed discounted percent.

The expression 800 (48d - 0.18 x 48d) represents the amount of the budget, left after buying d desks.

Therefore, the expression that represents the total amount of discount in dollars are;

(48d - 0.18 x 48d)

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Answer:

below

Step-by-step explanation:

y = 3 * 2^x          plug in the values of x (first column) to get the values in the second column

The set of coordinates after the reflection is (c) M' = (-3, -4) N' = (2, -3) O' = (1, -1) P' = (-2, -2)

The graph represents the given parameter

On the graph, we have the following coordinate points

M = (-3, 4)

N = (2, 3)

O = (1, 1)

P = (-2, 2)

The rule of the reflection is given as:

Reflection across the x-axis

Mathematically, this is represented as

(x, y) ⇒ (x, -y)

When this is applied to the points, we have the following representation

M' = (-3, -4)

N' = (2, -3)

O' = (1, -1)

P' = (-2, -2)

Hence, the set of coordinates is (c)

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140.23 liters are in 37 gallons

We have been given you can convert gallons to liters by using a factor of 3.79

That is, 1 gallon = 3.79 liters.

We need to find the amount of liters in 37 gallons.

Let 37 gallons = x liters

As we know 1 gallon = 3.79 liters.

So, by Unitary method,

x = 37 * 3.79

x = 140.23 liters

Therefore, 140.23 liters are in 37 gallons

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The subsets of the given set are {-2}, {1}, {-2, 1}, and ∅.

From the question, we are to list all the subsets of the given set.

Given two sets A and B; set A is a subset of set B if all elements of A are also elements of B.

Therefore, we will find all possible sets that have the element(s) of the given set.

The given set is {-2, 1}

The subsets of this set are {-2}, {1}, {-2, 1}, and ∅

Hence,

The subsets are {-2}, {1}, {-2, 1}, and ∅

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The consecutive integers such 4 that times the smaller integer is 50 less than 6 times the larger integer are 22 and 23.

Let the consecutive integers be x and x + 1.

In this case, the integers are such 4 that times the smaller integer is 50 less than 6 times the larger integer.

This will be:

4(x) = 6(x + 1) - 50

4x = 6x + 6 - 50

Collect like terms

4x - 6x = -44

-2x = -44

Divide

x = 44/2

x = 22

Also, x + 1 = 22 + 1 = 23

The numbers are 22 and 23.

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Answer:

Step-by-step explanation:

right i think?

The answer to the given question is -4/3 or 1/2

The product of 6 and the square of a number is increased by 5 times the number, the result is 4.

Firstly, let's write the algebraic expression for the above statement and represent the number as x.

The algebraic expression can be written as:

(6 x x²) + 5x = 4

6x² + 5x = 4

The other expression can also be written as:

6x² + 5x - 4 = 0

Secondly, we must factorize the algebraic expression to solve for x.

6x² - 3x + 8x - 4 = 0

3x (2x - 1) + 4 (2x + 1) = 0

(3x + 4)(2x - 1) = 0

Thirdly, we need to solve for x.

3x + 4 = 0

3x = -4

Now, we need to divide both sides by 3.

3x/3 = -4/3

x = -4/3

or

2x - 1 = 0

2x = 1

Now, we need to divide both sides by 2.

2x/2 = 1/2

x = 1/2

Hence, the values that the number could be is -4/3 or 1/2.

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The system of equation for each condition will be; 2a + 3c = 325.94 and

2a + c = 162.97 and exact cost of each type of ticket is a = $57.99 and

c = $46.99

A linear equation is an algebraic equation of the form y = mx+b. involving only a constant and a first-order term, where m is the slope and b is the y-intercept.

At an amusement park, the cost for an adult admission is a and for a child the cost is c. For a group of six that included two children, the cost was $325.94. For a group of five that included three children, the cost was $256.95 and all ticket prices include tax.

According to question,

2a + 3c = $325.94

4a + 2c = $256.95

2a + c = $162.97

Solving the equation by using elimination method, we get,

a = $57.99 and c = $46.99

Hence, The system of equation for each condition will be; 2a + 3c = 325.94 and 2a + c = 162.97 and exact cost of each type of ticket is a = $57.99 and c = $46.99

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Answer:

Step-by-step explanation:

2

Answer:

11?

Step-by-step explanation:

since 8+3 = 11 won't each student get 11 because they equally share it and in total 11 x 8 = 88 so they have to share 11 blocks of clay.

Answer:

----------------------------

Given is the right triangle.

The two angles are complementary, so their sum is 90°:

The angles are:

Answer:

Step-by-step explanation:

Now we have to,

→ find the value of each angle.

Forming the equation,

→ 90° + (p - 10°) + (p + 50°) = 180°

Now the value of p will be,

→ 90° + (p - 10°) + (p + 50°) = 180°

→ (90° - 10° + 50°) + (p + p) = 180°

→ 130° + 2p = 180°

→ 2p = 180° - 130°

→ p = 50°/2

→ [ p = 25° ]

Then the value of other angle is,

→ p - 10° || → p + 50°

→ 25° - 10° || → 25° + 50°

→ 15° || → 75°

Hence, these are the angles.

System of equations that models the situation is Option C . 2x+3y = 7.20 , 4x+3y = 8.80 and the price per pound for oranges is $1.40.

Given:

Part A

Steve buys 2 lb of grapefruit and 3 lb of oranges for $7.20. Kennedy buys 4 lb of grapefruit and 2 lb of oranges for $8.80.

Let x represent the price per pound for grapefruit, and let y represent the price per pound for oranges.

2x + 3y = 7.20

4x + 2y = 8.80

Part B

on solving two equations:

2x + 3y = 7.20 and 4x + 2y = 8.80

2(2x + 3y) - 4x - 2y = 2*7.20 - 8.80

4x + 6y - 4x - 2y = 14.40 - 8.80

4y = 5.60

y = 5.60/4

= $1.40

hence price of oranges per pound is $1.40.

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1/2x + 3/4x + 1/4x + 4

2/4 x + 3/4x + 1/4x + 4

1.5x + 4 or 3/2x + 4

(Both are the same, depends on if you need decimal or fractional answer)

The statements (b) and (d) are true concerning the measurements of a circle.

What is a circle?

A circle is a reconstructed by all elements in a plane that lie at a particular separation from the center. It is the curve sketched out by a point moving in a surface so that its radius from a particular point remains constant. The radius describes the distance either between two points on a circle and the center. Ordinarily, the radius must be a greater than 0. A circle, in particular, is a basic closed curve that splits the plane into two regions: inner and exterior. A circle can alternatively be described as a kind of ellipse with two coincident foci, zero eccentricity, and equal semi-major and semi-minor axes.

The statements:

(b) The area of a circle with a diameter of 1 unit is equal to pi square units and

(d) The circumference of a circle with a diameter of 1 unit is equal to pi units are true concerning the measurements of a circle.

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As per the given ratio, the four numbers are 27, 33, 81 and 99.

Ratio:

Ratio means a mathematical expression written in the form of a:b, where a and b are any integers. It expresses a fraction.

Give,

Here we have the ratio 9: 11.

And the difference is 6.

And we need to find the four numbers to it.

Let us consider both the number be 9x, 11x since their ratio is 9:11

And we have assume that our expected answer to be positive (since we are dealing with ratios)

So, their difference can be written as,

=> 11x-9x = 6

When we simplify it, then we get,

=> 2x = 6

Here we need the value of x,

=> x= 3

Now that we know the value of ‘x’ is, we can find required numbers through it,

=> 9x = 9 * 3= 27

=> 11x = 11*3 = 33

=> 27x = 27*3 = 81

=> 33x = 33*3 = 99

Thus, the four numbers are 27, 33, 81, 99.

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The equation is 51 = x + 120 × 0.30 that can find the monthly base fee charged by Chitchat wireless.

The equation representing the scenario will be formed through following components.

Total bill = monthly base fee + number of minutes × cost per minute

In the above mentioned equation, let us assume the monthly base fee to be x. Now, keep the values in formula to find the value of x.

51 = x + 120 × 0.30

Performing multiplication on Right Hand Side of the equation

51 = x + 36

Rewriting the equation according to x

x = 51 - 36

Performing subtraction on Right Hand Side of the equation

x = 15

Thus, the monthly base fee is $15.

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The screen of a tablet is shaped like a rectangle. then the area of the screen is 77 square inches.

What is the area of a rectangle?

If the length of the rectangle is 'l' and the breadth of the rectangle is 'b', then the area of the rectangle can be calculated as

                  Area = Length * Breadth

The length of the screen is 11 in. and the breadth of the screen is 7 in.

Then the area of the screen,

            Area = length * breadth

                     =  11 * 7

                     = 77 square inches.

Hence, the screen of a tablet is shaped like a rectangle. then the area of the screen is 77 square inches.

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Answer:

Let x = # of magazines , $23.65=$5.95+$2.95x , x = 6

Step-by-step explanation:

$23.65=$5.95+$2.95x

this is equation for this one because we know that 23.65 is the total money they have total and 5.95 cost for book and 2.95 dollar what each magazine. however, this equation needs to be solved to find x

23.65=5.65+2.95x

23.65-5.95=-5.95+2.95x

17.70=2.95x

17.70/2.95=

6=x

He can buy 6 magazines with his money.

The amount that will be spent on the cupcakes is $48.

From the information, Luisa plans to prepare cupcakes for her daughter's birthday and spends $15 on 25 units.

Let the amount spent on 80 cupcakes be x.

This will be illustrated as:

25/80 = 15/x

Cross multiply

25x = 15 × 80

25x = 1200

Divide

x = 1200/25

x = 48

The amount will be $48.

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The sentence, using the rational root theorem, is completed as follows:

If a polynomial function f has integer coefficients, then every rational solution of f(x) = 0 has the format p/q, where p is a factor of the constant term and q is a factor of the leading coefficient.

The rational root theorem states that a polynomial with integer coefficients will have every rational solution following the format p/q.

The variables p and q are defined as follows:

Hence the blanks in this problem are completed, respectively, by:

Constant term and leading coefficent.

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Percentage Change = (ΔV/IV₁I) × 100

Constant rate of Change = (y₂ - y₁)/ (x₂ - x₁)

Constant Percentage Change:

This means that after t period the something has grown to [tex]g^{t} = 1.10^{t}[/tex] it original value .

percentage change formula equals the change in value divided by the absolute value of the original value multiplied by 100.

Constant rate of Change:

In which the rate does not change between different points in the function. in short, constant rate of change refers to the comparison of the way two quantities changes. in equation, the constant rate of change can be seen as a slope.

An exponential function is a function that changes at a constant percentage rate.

An exponential function y of t is characterized by the following property:

when t increases by 1 to find the new value of y the current value by the base.

                 y- value for t +1 = Base of y - value for t

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solve 1/3 x= -4/5

1/3 * -4/5 = -4/15

-2 2/5

4/15

2 2/5

-4/15

Answer:

first option

Step-by-step explanation:

[tex]\frac{1}{3}[/tex] x = - [tex]\frac{4}{5}[/tex]

multiply both sides by 15 ( the LCM of 3 and 5 ) to clear the fractions

5x = - 12 ( divide both sides by 5 )

x = - [tex]\frac{12}{5}[/tex] = - 2 [tex]\frac{2}{5}[/tex]

The Answer is Han will cover 2.5 miles distance

What is distance ?

Distance is the total path covered by a object or person. As its name implies, any distance formula outputs the distance (the length of the line segment). In coordinate geometry, there is a number of formulas for finding distances, such as the separation between two points, the separation between two parallel lines, the separation between two parallel planes, etc.

Han and Tyler both started running toward each other from opposite ends of a 10 mile path along a river.

We need to find the distance run by Han after a half hour.

Han will cover a distance in 12 minutes=1 mile

Han will cover a distance in 1 minute= 1/12mile

Han runs distance in 30 minutes=30*1/12 miles

Hence, Han runs 2.5 miles after half hour.

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For the given ordered pairs, function f(x)= 13(2)ˣ models f(x). Therefore, option B is the correct answer.

From the given table, the ordered pairs are (0, 13), (3, 104) and (5, 416).

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Substitute (0, 13), (3, 104) and (5, 416) in the given functions and simplify

A) f(x)=2x+13

With x=0, we get f(x)=13

With x=3, we get f(x)=19

With x=5, we get f(x)=23

B) f(x)= 13(2)ˣ

With x=0, we get f(x)=13

With x=3, we get f(x)=104

With x=5, we get f(x)=416

For the given ordered pairs, function f(x)= 13(2)ˣ models f(x). Therefore, option B is the correct answer.

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Answer:210

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

Since 39 is 60%, 100/60= 1 2/3

39*1 2/3 is 65

If the null hypothesis that two means are equal is true, 97% of the computed z values lie between 2.17.

Any variation between the selected characteristics that you observe in a set of data is thought to be the result of chance, according to the null hypothesis. For instance, any difference between the average earnings in the data and zero is caused by chance if the expected earnings for the gambling game are actually equal to zero. An assertion that there is no correlation between two population parameters is referred to as a null hypothesis. To prepare the ground for additional experimentation or research that explains the position of interest, researchers reject or refute the null hypothesis.

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The expression for tension in the string is T = [(L/2)×(m1×g) + (x)×(m2×g)]/d.

We are a diagram that shows two blocks with masses m1 and m2.There are two strings, A and B. Everything is in equilibrium. Equilibrium is a condition of rest or balance caused by opposing forces acting equally. We need to find the tension in string A. Let the tension in the strings A and B be denoted by the variables "Ta" and "Tb", respectively. The net torque at point B must be zero as everything is in equilibrium. The diagram is attached below.

Στ(B) = 0

τ(a) + τ(b) + τ(m1) + τ(m2) = 0

τ = r×F×sin(θ)

d×(Ta)×sin(90°) + 0 - (L/2)×(m1×g)×sin(90°) - (x)×(m2×g)×sin(90°) = 0

d×(Ta) - (L/2)×(m1×g) - (x)×(m2×g) = 0

Ta = [(L/2)×(m1×g) + (x)×(m2×g)]/d

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