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Suppose you deposited $300 in a savings account 2 years ago. The simple interest rate is 2.9%
The interest that you eamed in those 2 years is $17.40. Which of the following is/are true?
= 2.996
r=17-40 D=300

Answer:

87 I think.

Step-by-step explanation:

29 x 3 = 87

Answer:(c)

Step-by-step explanation:

Given

The initial value of Adam's model is \(A_o=\$550\)

the value increases exponentially with the rate of \(r\%\)

Time period \(t=5\ years\)

Final amount \(A=\$736\)

Exponential growth is given by

\(\Rightarrow A=A_o(1+r)^t\)

Putting values

\(\Rightarrow 736=550(1+r)^5\\\\\Rightarrow (1+r)^5=1.338\)

\(\Rightarrow 1+r=1.05999\\\Rightarrow r=0.05999\ or\ 5.99\%\approx 6\%\)

Option (c) is correct

Answer:

-0.48

Step-by-step explanation:

(-1.2)(0.4)

= - 0.48

The relationship in the figure is a function because each input has only one output to which they are linked

A function is a definition or rule that maps each element in a set of input values to exactly one element in a set output values.

The data in the sets can be presented as follows;

x  \({}\)               f(x)

-1 \({}\)      →         2

0\({}\)        →        2

1\({}\)         →        -3

2\({}\)         →       -2

8\({}\)         →        3

The above table indicates that each x-value has only one f(x) value, which indicates that the relationship s a function. The relationship is still a function with the presence of an f(x) value, 2, having two x values, -1 and 0, as the condition satisfies the definition of a function.

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Answer:

Step-by-step explanation:

Divide by 3

1 : 4 : 3

After considering all the given data we conclude that the range is 45, the variance is 422.21, the standard deviation is 20.55

To evaluate the range of the given sample data, we subtract the smallest value from the largest value. For the given case, the largest value is 79 and the smallest value is 34. Therefore, the range is 79 - 34 = 45.
To evaluate the variance of the given sample data, we first need to find the mean. The mean is evaluated by adding up all of the values and dividing by the number of values. Including the given case, we have 10 values, so we add them up and divide by 10:
(51 + 63 + 36 + 43 + 34 + 62 + 73 + 39 + 53 + 79) / 10
= 51.3

Finally , we have to apply subtraction the mean from each value and square the result. Then we add up all of these squared differences and apply division by n-1 (here n is the number of values). This gives us the variance:
((51 - 51.3)² + (63 - 51.3)² + (36 - 51.3)² + (43 - 51.3)² + (34 - 51.3)² + (62 - 51.3)² + (73 - 51.3)² + (39 - 51.3)² + (53 - 51.3)² + (79 - 51.3)²) / (10-1) = 422.21
Lastly,  to evaluate the standard deviation, we take the square root of the variance:
√(422.21) = 20.55
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The ability of the twins to divide the oddly shaped plot into two Identical plots along the grid lines depends on the presence of a line of symmetry.

To determine whether the set of twins can divide the oddly shaped plot of land into two identical plots along the grid lines, we need to consider the characteristics of the plot and the conditions required for the division.

For the division to be possible, the plot needs to have a line of symmetry that can be used to create two identical halves. A line of symmetry divides an object into two equal and mirrored parts.

If the plot of land has a line of symmetry, the twins can divide it by drawing a line along the symmetry axis. This line should cut the plot into two equal halves, ensuring that both plots are identical.

However, if the plot does not have a line of symmetry, it may not be possible to divide it into two identical plots along the grid lines. In this case, the twins would need to consider alternative methods of division or compromise on the goal of having two identical plots.

To determine if the plot has a line of symmetry, the twins can examine its shape and characteristics. They can look for any symmetrical patterns, such as equal sides or mirrored shapes, that indicate the presence of a line of symmetry.

If the plot does not have an obvious line of symmetry, the twins might need to explore other options, such as dividing the plot into two equal areas based on other criteria, such as the length or width of each half.

the ability of the twins to divide the oddly shaped plot into two identical plots along the grid lines depends on the presence of a line of symmetry. If such a line exists, they can divide the plot by drawing a line along the symmetry axis. However, if the plot lacks symmetry, they may need to consider alternative methods of division or adjust their expectations.

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Note the full question may be :

To determine whether the twins can divide the oddly shaped plot of land into two identical plots along the grid lines, we need more specific information about the shape and dimensions of the plot. the shape of the plot (rectangular, triangular, irregular), the lengths of its sides, any existing grid lines or divisions within the plot.

Answer:

100

Step-by-step explanation:

If you ever have an equation with x divided by a number, and another number on the other side, just multiply x/whatever number by that number.

So:

\(\frac{x}{5} = 20\)

multiply \(\frac{x}{5}\) by 5, and 20 by 5

So, you get x (multiplying by the denominator cancels out the denominator) and 100, which is basically x = 100.

Answer:

72\(\leq\)t

Solution:

8(9)\(\leq\) t

If he can run more than 9 laps today, but might not, then the total number of minutes can be more then or equal to nine laps.

The graph of a proportional relationship can be described as a graph that always starts at point zero and is always a straight line graph.

A straight line graph is defined as the type of graph that is also called a linear graph which shows a relationship between two or more quantities that uses a graphical form of representation.

There are some characteristics that shows that a graph is of proportional relationship which include the following:

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Step-by-step explanation:

To determine the value of x that satisfies the expression x^2 + 3x - 5 when x = 9, we simply substitute 9 for x and evaluate the expression:

9^2 + 3(9) - 5 = 81 + 27 - 5 = 103

Therefore, when x = 9, the expression x^2 + 3x - 5 evaluates to 103.

rate my answer, please.

Step-by-step explanation:

There is no contradiction. Remember that when you measure a length with a scale or any other device , you only get an rational value . So,you may not realise that either c or d is irrational

The measure of the angle ABD is (3x + 29)  

Bisecting angles is the process of dividing an angle into two congruent angles. In geometry, an angle bisector is a line or ray that divides an angle into two equal parts.

When an angle is bisected, each of the two angles formed is called a half-angle or bisector angle, and the point where the angle is bisected is called the vertex of the angle.

Here we have

BD bisects ABC and ∠ABC = 6x+58  

When a straight bisect an angle then the measure of the resultant 2 angles will be equal in measure

Here BD bisected ABC

The resultant angles will be ∠ABD and ∠DBC

Hence,

=> ∠ABC = ∠ABD + ∠DBC

=> ∠ABC = ∠ABD + ∠ABD   [ Since two angles are equal

=> ∠ABC = 2∠ABD  

From the given data,

=> 6x + 58 = 2∠ABD  

=> 2 ∠ABD = 2(3x + 29)

=> ∠ABD = (3x + 29)  

Therefore,

The measure of the angle ABD is (3x + 29)  

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Let x/[(b-c)(b+c-2a)] = y/[(c-a)(c+a-2b)] = z/[(a-b)(a+b-2c)] = k

Now,

x/[(b-c)(b+c-2a)] = k

⇛x/[(b-c)(b+c-2a)] = k/1

By doing cross multiplication, we get

⇛1(x) = k(b-c)(b+c-2a)

⇛x = k(b²-c²-2a(b-c)

⇛x = k(b²-c²+2ac-2ab) --------Eqⁿ(1)

Also,

y/[(c-a)(c+a-2b)] = k

⇛y/[(c-a)(c+a-2b)] = k/1

⇛1(y) = k(c-a)(c+a-2b)]

⇛y = k(c²-a²-2bc+2ba) --------Eqⁿ(2)

Again,

z/[(a-b)(a+b-2c)] = k

⇛z/[(a-b)(a+b-2c)] = k/1

⇛1(z) = k(a-b)(a+b-2c)

⇛z = k(a-b)(a+b-2c)

⇛z = k(a²-b²-2ca+2bc) --------Eqⁿ(3)

Now,

Adding equation (1), (2) and (3), we get

x+y+z

⇛k(b²-c²+2ac-2ab + c²-a²-2bc+2ba + a²-b²-2ca+2bc)

⇛k × 0

⇛0.

Answer:-The value of x+y+z is 0.

The expression can be rewritten by given term as;  3^15

We need to simplify the expression below:

(3^2 x 3^3)^3

Remember that we can add these exponents, so we get:

(9 x 9)^3 = 81^3

Then we can rewrite this as:

531441

Takin the product between the exponents we will get:

(3^5)^3

Thus, the solution is 3^15

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Intersection of B'∩C = {k, y}

To find the intersection of B' and C, we need to first find the complement of set B (B') and then find the intersection between B' and C.

1. Complement of set B (B'):

The complement of set B (B') consists of all elements in the universal set U that are not in set B. From the given information, set B is defined as {k, s, y}', which means it contains all elements in U except for k, s, and y. Therefore, the complement of set B is {f, m, x, z}.

2. Intersection between B' and C:

Now, we need to find the intersection between B' (complement of B) and set C. From the given information, set C is defined as {s, z}. To find the intersection, we need to identify the common elements between B' and C.

The elements present in both B' and C are k and y. Therefore, the intersection of B' and C is {k, y}.

So, the answer to (b) is B'∩C = {k, y}.

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Answer:

84

Step-by-step explanation:

5+7 times 14 divided by 2 i think there's no pic

Answer:

Welp, you didn't provide a picture so I'll go with every choice.

Step-by-step explanation:

If the two bases are 5 and 7, and the height is 14, then the area is 84.

If the two bases are 5 and 14, and the height is 7, then the area is 66.5.

If the two bases are 7 and 14, and the height is 5, then the area is 52.5.

The formula for the area of a trapezoid is : (a+b)/2 * h

The ordered pair that is a solution of the system is (-3, -3), the second option.

There are two ways of finding this.

You can use your graph and identify which of the given pointes lies in the region where the two shaded areas intersect.

Another way, is replacing the values of the coordinate points in both inequalities and checking that both are true when evaluated in the point.

Here we will use the graph, because you already had it (and you can see a more precise graph in the image at the end).

We can see that the region os solutions is on the left side of the graph, and the only point that lies on there is (-3, -3)

So that point is the solution.

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Answer:

3333111111111111111111111111111111111111111111111111111111111111111111111

On solving the provided question, we can say that the probability of the red die rolling is 16.67% probability = 0.1667

A branch of mathematics called probability theory determines the chance that an event will occur or that a statement is true. A probability is a number between 0 and 1, where 1 denotes certainty and about 0 denotes how probable an event is to occur. The possibility or likelihood that a specific event will occur is expressed numerically as a probability. Probabilities can also be expressed as percentages from 0% to 100% or as numbers between 0 and 1. the proportion of occurrences among all equally likely alternatives that lead to a certain event relative to all possible outcomes.

red die, there are 3 numbers greater than 3 out of 6 numbers

Probability (A) = 3/6 = 1/2.

green die, there are 2 numbers less than 3 out of 6 numbers

Probability (B) = 2/6 = 1/3.

events are independent

P(A and B) = \(P(A)P(B) = 1/2 X 1/3 = 1/6 = 0.1667\)\(P(A)P(B) = 1/2 X 1/3 = 1/6 = 0.1667.\)

16.67% probability = 0.1667

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No, his answer is not correct because each of the smaller divisions represents 1/6, not 3.

Mark's answer is not correct.

When dividing a number line into equal sections, the value of each section represents a fraction of the whole.

In this case, Mark divided the number line from 0 to 1 into 3 equal sections and then divided each of those sections into 2 equal parts.

Initially, the whole number line from 0 to 1 represents the number 1. When Mark divided it into 3 equal sections, each section represents 1/3 (one-third) of the whole.

So far, this is correct.

However, when Mark further divided each of the 1/3 sections into 2 equal parts, each part represents 1/2 (one-half) of the 1/3 section.

So, each of these smaller divisions represents 1/2 \(\times\) 1/3 = 1/6 (one-sixth) of the whole.

Therefore, the correct representation of each of the smaller divisions is 1/6, not 3.

Mark made an error by mistakenly assuming that each smaller division represents the number 3.

In summary, Mark's answer of 3 is incorrect because each of the smaller divisions represents 1/6, not 3.

The correct representation for dividing the number line as described is 1/6.

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The inequality 3/7 x 7 ≤ 7 is true.

The left-hand side, which simplifies to 3, is less than or equal to the right-hand side, which is 7.

To evaluate the inequality 3/7 x 7 ≤ 7, we can simplify the expression on the left-hand side and compare it to the value on the right-hand side.

First, let's calculate 3/7 x 7:

(3/7) x 7 = 3

So, the expression simplifies to 3 ≤ 7.

Now, let's compare 3 to 7. Since 3 is less than 7, we can conclude that 3 ≤ 7 is true. In other words, 3 is less than or equal to 7.

To understand this visually, imagine a number line. Placing a point at 3 and another point at 7, we can see that 3 is to the left of 7. The "less than or equal to" symbol (≤) indicates that the left-hand side can be equal to or less than the right-hand side. In this case, 3 is indeed less than 7, satisfying the inequality.

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Answer: A

Step-by-step explanation:

X values to the right of the y axis are positive. X values to the left of the y axis are negative.

Y values above the x axis are positive.

Y values below the x axis are negative.

Pairs of coordinates are always noted as (x,y) with the x value of a point given first and the y value of that same point given second.

Answer:

Step-by-step explanation:

Let A=(a,b) then the reflected over the x-axis will be A'=(a,-b)

A=(5,5) --> A'=(5,-5)

B=(5,1) --> B'=(5,-1)

C=(2,1) --> C'=(2,-1)

D=(1,5) ---> D'=(1,-5)

The product of 5 × 5ab × 5, a, b is 125ab5 when written in its most Simple form

The expression 5 × 5ab × 5, a, b is equal to 125ab5. The reasoning is that when we multiply 5 by 5ab, we get 25ab, which we then multiply by 5 to get 125ab. Since a, b are variables, the product 125ab5 is the product of 5 × 5ab × 5, a, b, when written in its most simple form.

The expression 5 × 5ab × 5, a, b is an algebraic expression, which consists of numbers, variables, and operators. Variables are usually represented by letters or other symbols, while operators such as +, -, ×, ÷, ^ are used to indicate mathematical operations such as addition, subtraction, multiplication, division, and exponentiation. In algebra, expressions can be simplified by combining like terms, expanding brackets, and applying other rules of arithmetic.

The most simple form of an expression is the one that cannot be further simplified.In the given expression, 5 × 5ab × 5, a, b, we can see that the number 5 appears three times, so we can simplify the expression by multiplying the numbers together.

Similarly, we can multiply the variables a and b together to get the term ab. Finally, we write the result as 125ab5, which is the product of 5 × 5ab × 5, a, b, in its most simple form.

Therefore, the product of 5 × 5ab × 5, a, b is 125ab5 when written in its most simple form.

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Answer: 18 cm

Step-by-step explanation:

Length means the same thing as “long” so whatever the length is, that’s how long it is. In this case, 18 cm is the length, so that’s how long it is.

Based on the information given, the price of the zero coupon bond is $692.04.

To calculate the price of a zero coupon bond, we need to use the following formula:

\(\sf P =\dfrac{F}{1+r\div n}^{(nt)\)

Where:

Also, the annual interest rate is 7.50%, which is the market interest rate, and the compounding is semiannual, which means n = 2. Finally, the time to maturity is 5 years.

Plugging in the values into the formula, we get:

\(\sf P = \dfrac{1000}{(1+0.075\div2)^{(2\times5)}}\)

\(\sf P = \dfrac{1000}{(1.0375)^{10}}\)

\(\sf P = \dfrac{1000}{1.4450}\)

\(\sf P = \$692.04 \ \ (rounded \ to \ the \ nearest \ cent)\)

Therefore, the price of the zero coupon bond is $692.04.

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Remove the negative exponent by rewriting 25-3/2

As 1/25^3/2 then simplify the denominator and you'll have

1/125

These are the to ways you can write it

Exact form

1/125

Or you can do decimal form

0.008

The graph of the function is attached below.

The graph of a function shows the correlation between its inputs (represented by x-values) and matching outputs (represented by y-values). It is a means of illustrating the actions and traits of a function.

Plotting points that conform to the function's rule in a cartesian coordinate system results in the graph of the function. An input-output pair for the function is represented by each point on the graph. The point's x-coordinate represents the input value, while its y-coordinate represents the output value.

We can further use the graph to determine the range, domain, y-intercept, x-intercept and so many others from a graph.

In the given problem;

The graph of the function f(x) = 1 + x / x² - 1 is attached below;

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