Logan opened a savings account 21 years ago with a deposit of $3,471.52. The account has an interest rate of 3.1% compounded monthly. How much interest has Logan earned?

Answer:

The Answer Is True

Step-by-step explanation:

The number of lateral faces for a triangular pyramid is 3.

Given data:

Let the number of lateral faces for a triangular pyramid be A.

Now, A triangular pyramid has 3 lateral faces.

Each of these lateral faces is a triangle.

The base of the pyramid is not considered a lateral face.

It has one base face and three lateral faces.

All four faces are triangles.

It has four vertices or points.

It has six edges or line segments.

Hence, the number of lateral faces is 3.

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Every function is a kind of relation by definition. A function is a relation where every input is paired with exactly one output. Therefore, there doesn't exist a function that isn't a relation.

In mathematics, every function is a relation, but not every relation is a function. A function is a special type of relation where every input (or x-value) is paired with exactly one output (or y-value). This is often referred to as the vertical line test. If any vertical line intersect the graph of the relation at more than one point, then it is not a function. Therefore, there does not exist a function that is not a relation, because by definition, a function is always a relation.

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Answer:

The answer is [tex]y=6x-14[/tex]

Step-by-step explanation:

In order to determine the slope-intercept form equation, we need to know the formula. The formula needs a slope (m) and a point (x,y) that belongs to the equation.

[tex]y-y_1=m(x-x_1)\\m=slope\\(x_1,y_1)=point[/tex]

For m:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

So, first we have to define every variable and then we replace them into the formula:

[tex]P_1=(3,4)\\P_2=(5,16)\\m=\frac{16-4}{5-3}\\m=\frac{12}{2}=6[/tex]

It doesn't matter the order of how you define the points. The result will be the same.

Then:

[tex]y-4=6*(x-3)\\y=6*(x-3)+4\\y=6x-18+4\\y=6x-14[/tex]

Finally, the slope-intercept form equation is [tex]y=6x-14[/tex]

The formula for perimeter is:

P = 2 h +  2 w

where P is perimeter = 120 cm, h is height, w is width

we are also given that: h = (2/3) w, therefore:

P = 2 (2/3) w + 2 w = 120

(4/3) w + 2 w = 120

w = 36 cm

Therefore l is:

l = (2/3) w = 24 cm

Hence the dimension should be 24cm by 36 cm

It took approximately 47 minutes for the patient's temperature to reach a record high of 105.8 degrees, calculated by subtracting the start time from the end time.

The subject question involves the calculation of time that elapses between two events - a start time of 9:54 a.m. and an end time of 10:41 a.m. To calculate this, we subtract the start time from the end time.

Begin by converting the times to a 24-hour clock, where 9:54 a.m. is 9.9 (as each minute represents a fraction of a full hour) and 10:41 a.m. is 10.68. Then, subtract 9.9 from 10.68 to get 0.78. This means that 0.78 hours has passed, which is equivalent to approximately 47 minutes when converted back into minutes (0.78 x 60).

So, it took approximately 47 minutes for the patient's temperature to reach the record high of 105.8 degrees.

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Answer:

Larry did not round correctly. He used front-end estimation, but he did not round up when appropriate. His estimate will be lower than the amount of money he needs.

Step-by-step explanation:

yeah

Larry's estimation is incorrect.

The total cost of the items that Larry bought will be:

= $5.79 + $7.63 + $3.46 + $2.99 + $3.65

= $23.65

Since Larry estimated his total cost to be $20 while the correct answer is $23.65, then his estimate is wrong.

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Answer:

Death Valley's elevation is -282 feet and Mount McKinley Alaska elevation is 20,320 feet

Step-by-step explanation:

Consider the provided information.

Integers are the number that do not contain any decimal or fraction. They contains positive counting number, negative counting numbers and zero.

For example:{...-3,-2,-1,0,1,2,3...}

It is given that Death Valley, California has the lowest elevation in the United States. It's elevation is 282 feet below sea level.

Mount McKinley Alaska has the highest elevation in the United States. It's elevation is 20,320 feet above sea level.

We need to use integers to describe these two locations in the United States.

Both the statements are related with sea level.

Let say the sea level is at the zero, if a point is below sea level then we will indicate it by placing a negative sign in the front of the number and if it is above the sea level then we will indicate it by placing a positive sign or no sign in the front of the number.

Now consider the provided information.

Death Valley's elevation is 282 feet below sea level.

Which can be written as: -282 Feet (In integer)

Mount McKinley Alaska elevation is 20,320 feet above sea level.

Which can be written as: 20,320 Feet (In integer)

Points, rays and lines are all elements of a coordinate geometry. The text that completes, sentence A to D is as follows:

Figure E is a point, while figure F is a ray

I've added as an attachment, the complete question.

A. Two points

When there are two points (say points A and B), there can only be one line segment in these points. The line segment is AB or BA

B. Three points

A plane is formed by three points. So, for any three points (whether they are collinear or not), there is exactly one plane.

C. Points on the same line

When there are more than one points on a line, such points are said to be collinear.

D. Points on the same plane

When there are more than one points in a plane, such points are said to be coplanar.

E. & F

A point is represented with a dot; So, the figure in (E) is a point.

A ray has one endpoint and an arrow at the other end. So, AB is a ray.

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To find the three consecutive odd integers that satisfy the given conditions, we set up an equation x + 2(x + 2) + 3(x + 4) = 46, solved it to find x = 5, and then found the integers as 5, 7, and 9.

We are given a problem to find three consecutive odd integers where the sum of the first, two times the second, and three times the third equals 46. Let's label our integers as x (the first), x+2 (the second), and x+4 (the third), as the differences between odd integers are 2.

The equation, based on the problem statement, is:
x + 2(x + 2) + 3(x + 4) = 46

Distribute and combine like terms:
x + 2x + 4 + 3x + 12 = 46
6x + 16 = 46

Subtract 16 from both sides:
6x = 30
Divide both sides by 6:
x = 5

Therefore, the three consecutive odd integers are:
x = 5 (first integer),
x + 2 = 7 (second integer),
x + 4 = 9 (third integer).

Checking the solution: 5 + 2(7) + 3(9) = 5 + 14 + 27 = 46, which confirms our answer is correct.

Final answer:

To find the total number of questions on the test, we divide the number of correctly answered questions (96) by the score as a decimal (0.75), which gives us 128 questions in total.

Explanation:

To determine the total number of questions on the test, we can use the given information that a student received a score of 75% by answering 96 questions correctly. The percentage score represents the fraction of the total number of questions that were answered correctly. So, if 96 questions were 75% of the total, we can find the total number of questions (T) using the following equation:

75% of T = 96
0.75 × T = 96
T = 96 / 0.75
T = 128

Therefore, there were 128 questions on the test.

The statement that If a figure has four congruent angles, then it is a square is a false conditional statement which is the correct option (A).

A conditional statement is defined as the two fundamental components that make up a conditional statement are Hypothesis (if) and Conclusion (then).

Let us consider the example to understand the parts of a conditional statement.

Conditional Statement: If today is Friday, then yesterday was Thursday.

Hypothesis: "If today is Friday."

In the given problem,

Conditional Statement:  If a figure has four congruent angles, then it is a square

Hypothesis: "If a figure has four congruent angles"

One example of a counterexample is a rectangle, which although not a square, has four congruent angles.

Hence, the statement that If a figure has four congruent angles, then it is a square is a false conditional statement which is the correct option (A).

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