2 1/4-6/7=
2 5/12-blank=2/3
7 1/12-5 3/8=
blank+7/10=2 9/20

Using the compound interest formula it is obtained that the loans which will have the lowest total cost is option C) - 30 years at 5% interest.

What is Compound Interest?

The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest. Compound interest is commonly abbreviated C.I. in mathematics.

We can use the formula of compound interest [tex]A = P\big(1 + \frac{r}{n} \big)^{(nt)}[/tex] to calculate the total cost (A) of each loan, where P is the principal (the initial amount borrowed), r is the annual interest rate (as a decimal), n is the number of times the interest is compounded per year, and t is the total number of years.

For all loans, the principal P is $380,000.

For Loan A, the annual interest rate is 10%, and the interest is compounded 12 times per year (monthly), so r = 0.1/12 and n = 12.

The total time is 20 years, so t = 20.

Plugging in the values, we get -

[tex]A = $380,000(1 +0.1/12)^{(12 \times20)} = $1,245,956.70[/tex]

For Loan B, the annual interest rate is 6.5%, and the interest is compounded 12 times per year (monthly), so r = 0.065/12 and n = 12.

The total time is 25 years, so t = 25.

Plugging in the values, we get -

[tex]A = $380,000(1 +0.065/12)^{(12 \times25)} = $844,275.92[/tex]

For Loan C, the annual interest rate is 5%, and the interest is compounded 12 times per year (monthly), so r = 0.05/12 and n = 12.

The total time is 30 years, so t = 30.

Plugging in the values, we get -

[tex]A = $380,000(1 +0.05/12)^{(12 \times30)} = $766,726.73[/tex]

For Loan D, the annual interest rate is 4%, and the interest is compounded 12 times per year (monthly), so r = 0.04/12 and n = 12.

The total time is 35 years, so t = 35.

Plugging in the values, we get -

[tex]A = $380,000(1 +0.04/12)^{(12 \times35)} = $810,780.25[/tex]

Therefore, Loan C with 30 years at 5% interest has the lowest total cost, with a total cost of $766,726.73.

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Answer:

B

Step-by-step explanation:

x + 3y = 2 → (1)

4x - 3y = 23 → (2)

adding (1) and (2) term by term will eliminate y

(x + 4x) + (3y - 3y) = 2 +  23

5x + 0 = 25

5x = 25 ( divide both sides by 5 )

x = 5

Answer: There are no solutions

Step-by-step explanation:

Step 1: simplify both sides of the equation

-8 + 3s + 17s = 20s + 8

(3s+17s) + (-8) = 20s + 8 (combine like terms)

20s + -8 = 20s + 8

20s - 8 = 20s + 8

Step 2: Subtract 20s from both sides

20s - 8 - 20s = 20s + 8 - 20s

-8 = 8

Step 3: Add 8 to both sides

-8 + 8 = 8 + 8

0 = 16

Thus, there are no solutions

Answer:

Is D

Step-by-step explanation:

The domain is all real numbers, The range is all real numbers and There is one y-intercept is true from the given option in context of all linear functions. option B. The domain is all real numbers, C. The range is all real numbers , and E. There is one y-intercept is right choice.

All linear functions have a domain that includes all real numbers, a range that includes all real numbers, and exactly

one y-intercept.

The rate of change of a linear function is non-zero only if the function is not constant (i.e. its slope is not zero).

However, there are linear functions that have a slope of zero, such as the function f(x) = 2, which is a horizontal line.

This means that statement A is not true of all linear functions.

Furthermore, there are linear functions that have no x-intercept (if the line is parallel to the x-axis) or that have more

than one x-intercept (if the line intersects the x-axis more than once).

Therefore, statement D is also not true of all linear functions.

The correct answers to this question are B. The domain is all real numbers, C. The range is all real numbers , and E. There is one y-intercept.

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Answer:

$85

Step-by-step explanation:

340*0.25

Answer:

5

Step-by-step explanation:

S1=R1²=*3²=9 (the outer circle)

S2=R2²=*2²=4 (the inner circle)

S=S1-S2=9-4=5 (the shaded ring)

Well for each person, the probability is 1/3. This is because they all have 2 out of 6 possible outcomes.

Answer:

Step-by-step explanation:

To find the area of the upper surface of the pool, we need to know the dimensions of the pool. If we assume the pool has a rectangular shape, we can use the formula:

Area = length x width

We can find the length and width by using the given volume and depth. Since the volume of the pool is 800 cubic cm and the depth is 8cm, we can find the length and width using the formula:

Volume = length x width x depth

800 = length x width x 8

length x width = 800/8

length x width = 100

Now, we do not have enough information to determine the exact dimensions of the pool. However, we do know that the area of the upper surface of the pool is equal to the length times the width. Therefore, the area of the upper surface is 100 square cm.

Answer:

2 meters

Step-by-step explanation:

If she cut 4 pieces and each was 50 cm, we know that she used 200 cm of ribbon.

Cm to M conversion is that 100 cm = 1 meter, so 200 cm would be 2 meters

In response to the stated question, we may state that As a result, an expressions adult black bear weighs 250 pounds.

An expression in mathematics is a collection of numbers, variables, and mathematical (such as addition, reduction, multiplication, division, exponentiation, etc.) that express a quantity or value. Expressions might be as basic as "3 + 4" or as complicated as "(3x2 - 2) / (x + 1)". They may also contain functions like "sin(x)" or "log(y)". Expressions can also be evaluated by substituting values for the variables and performing the mathematical operations in the order specified. If x = 2, for example, the formula "3x + 5" equals 3(2) + 5 = 11. Expressions are commonly used in mathematics to describe real-world situations, construct equations, and simplify complicated mathematical topics.

Let B represent the birth weight of a male black bear and A represent the mature weight. The ratio of B to A is supplied to us as 3:1000. As a result, we may write:

B/A = 3/1000

The average birth weight (B) is also reported as 12 ounces. We may use these data to get the average adult weight (A):

[tex]B/A = 3/1000\\12/A = 3/1000\\A = 12/(3/1000)\\A = 4000[/tex]

A male black bear's typical mature weight is 4000 ounces.

To convert ounces to pounds, divide by 16 (since one pound contains 16 ounces):

[tex]4000/16 = 250[/tex]

As a result, an adult black bear weighs 250 pounds.

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The value of n (S) is 5, n (T) is 7, n (∪) is 11 and n (∩) is 1. The solution has been obtained by using the given sets.

What is a set?

Sets are represented as a collection of well-defined objects or elements and it does not change from person to person. A set is symbolised by a capital letter. The number of items in the finite set is known as the cardinal number of a set.

We are given two sets as S = {r, e, l, a, x} and T = {i, t, s, o, k, a, y}.

Now,

n (S) = 5

This is because there are 5 elements in this set.

n (T) = 7

This is because there are 7 elements in this set.

S ∪ T = {r, e, l, a, x, i, t, s, o, k, y}

n (∪) = 11

This is because there are 11 distinct elements in the sets.

S ∩ T = {a}

n (∩) = 1

This is because there is only 1 element common in the sets.

Hence, the required solution has been obtained.

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Answer:

7.2×10^-3

Step-by-step explanation:

8 × 10^4×9 × 10^–8

=8×9×10^(4-8)

=72×10^-4

=7.2×10^-3

Answer:

Matt's typing speed increased by 18.75%.

Step-by-step explanation:

To find the percent increase, we can use the following formula:

percent increase = (new value - old value) / old value x 100%

Using this formula, we can calculate the percent increase in Matt's typing speed as follows:

percent increase = (38 - 32) / 32 x 100%

percent increase = 6 / 32 x 100%

percent increase = 0.1875 x 100%

percent increase = 18.75%

Answer:

x = 15.733

Step-by-step explanation:

The cost of the utility pole is $127.36.

Answer: 1/4

Step-by-step explanation:

2 divided by 2 is 1 and 8 divided by 2 is 4 so 1/4

Answer: 1/4

Step-by-step explanation: We can simplify by divideing both the numerator and the denominator by 2. That will leave us with the answer of 1/4.

Answer: Option A

Step-by-step explanation:

The t-statistic and P-value can be calculated using statistical software or a t-test calculator. Using a two-tailed t-test with a significance level of 0.05 and 8 degrees of freedom (n1 + n2 - 2), we obtain:

t = -1.4789

P-value = 0.173292

Therefore, the correct answer is A. With a t statistic of -1.4789 and a P-value of 0.173292, we fail to reject the null hypothesis that the prices have not changed significantly since the new owner took over. We cannot conclude that the prices have changed significantly.

With a T statistic of 0.7394 and a P value of 0.478505, fail to reject the no hypothesis that prices have not changed. The correct option is D.

A null hypothesis is a type of statistical hypothesis that asserts that there is no statistical significance in a given set of observations.

Using sample data, hypothesis testing is used to assess the credibility of a hypothesis.

To determine if the prices of goods at a supermarket have significantly changed since the new owner took over, we can perform a two-sample t-test with the null hypothesis being that the mean difference in prices before and after the new owner took over is zero.

Using a significance level of 0.05, the critical t-value for a two-tailed test with 9 degrees of freedom is approximately 2.306.

To calculate the t-statistic, we first need to calculate the mean and standard deviation of the differences in prices:

Mean difference = (0.30 - 0.07) / 10 = 0.023

Standard deviation = 2.967

t-statistic = (0.023 - 0) / (2.967 / sqrt(10)) = 0.7394

The calculated t-value of 0.7394 is less than the critical t-value of 2.306, and the corresponding p-value is 0.4785. This means we fail to reject the null hypothesis that the mean difference in prices is zero.

Therefore, based on the given data and using a significance level of 0.05, the correct P-value and conclusion are:

Thus, the correct option is D.

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Answer:

eflections, rotations, and translations are all transformations that change the position of a figure in the plane. These transformations change the orientation, location, or both of a figure without altering its size or shape. In other words, they change the position or location of the figure in the plane while maintaining the same size and shape.

The rate of change is equal to 6,800 miles per hour.

In Mathematics and Geometry, the rate of change can be determined by using the following mathematical equation (formula);

Rate of change, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Rate of change, m = (y₂ - y₁)/(x₂ - x₁)

Next, we would determine the rate of change of the value of y with respect to the value of x for Space Explorer A;

Rate of change, m = (68,000 - 34,000)/(10 - 5)

Rate of change, m = 34,000/5

Rate of change, m = 6,800 miles per hour.

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Complete Question:

Scientists are preparing two satellites to be launched. The graph below represents the number of miles, y, that the satellite, Space Explorer A, flies in a hours. Find the rate of change.

Answer:

$416.66

Step-by-step explanation:

We take

450 divided by 108, then time 100 = $416.66

So, the old fare is $416.66

The correct answer is B. Symmetric property.

The symmetric property states that if a = b, then b = a. In the context of geometry, this property can be used to show that if one side of a figure is congruent to another side, then the second side is also congruent to the first. In the case of the given proof, it is possible that the symmetry of the figure is used to show that opposite sides of the rhombus are congruent.

The reflective property (A) is not typically used to prove that a figure is a rhombus, as it relates to the reflection of a figure across a line. The transitive property (C) and the addition property (D) are also unlikely to be used in this context, as they relate to the properties of equality and addition, respectively, rather than geometric properties of figures.

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The product is decreased by a factor of 16.

What is a factor?

In mathematics, a factor is a number or quantity that, when multiplied with another number or quantity, produces a given result. For example, in the expression 3 x 4 = 12, 3 and 4 are factors of 12. Factors can also refer to algebraic expressions, where they are the expressions that are multiplied together to obtain a larger expression.

Let's say we have two numbers, A and B, and we want to find the product of A and B.

The product of A and B is AB.

If we decrease A by a factor of 2, the new value of A becomes A/2. If we decrease B by a factor of 8, the new value of B becomes B/8.

So the new product of A/2 and B/8 is:

(A/2)(B/8) = AB/16

Therefore, the product is decreased by a factor of 16.

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Answer:

Step-by-step explanation: To find the ratio of corresponding sides for the two similar triangles, we need to match up the corresponding sides of the triangles and write the ratios of their lengths.

For Triangle 1, we have:

Side length = 12

Hypotenuse = 15

We can use the Pythagorean theorem to find the length of the blank side:

(Blank side)^2 = (Hypotenuse)^2 - (Side length)^2

(Blank side)^2 = 15^2 - 12^2

(Blank side)^2 = 225 - 144

(Blank side)^2 = 81

Blank side = 9

So, for Triangle 1, we have the following ratios:

Side length : Hypotenuse = 12 : 15

Side length : Blank side = 12 : 9

Hypotenuse : Blank side = 15 : 9

For Triangle 2, we have:

Side length = 4

Hypotenuse = 5

We can use the Pythagorean theorem to find the length of the blank side:

(Blank side)^2 = (Hypotenuse)^2 - (Side length)^2

(Blank side)^2 = 5^2 - 4^2

(Blank side)^2 = 25 - 16

(Blank side)^2 = 9

Blank side = 3

So, for Triangle 2, we have the following ratios:

Side length : Hypotenuse = 4 : 5

Side length : Blank side = 4 : 3

Hypotenuse : Blank side = 5 : 3

Therefore, the ratio of corresponding sides for the two similar triangles is:

Side length : Side length = 12 : 4 = 3 : 1

Hypotenuse : Hypotenuse = 15 : 5 = 3 : 1

Blank side : Blank side = 9 : 3 = 3 : 1

Reducing each ratio to lowest terms, we get:

Side length : Side length = 3 : 1

Hypotenuse : Hypotenuse = 3 : 1

Blank side : Blank side = 3 : 1

So the correct answer is (b) StartFraction 4 Over 5 EndFraction = StartFraction 12 Over 15 EndFraction = StartFraction 4 Over 5 EndFraction.

Answer:

Tauri is currently 28 years old

Step-by-step explanation:

Answer:

C

.........................

Answer: the answer is A

Step-by-step explanation: The process of nuclear fusion is the union of two light atomic nuclei into one heavier one while releasing enormous quantities of energy.

Answer:

The correct equation that represents the relationship between b and f is:

Ob = (3/2)f

Explanation:

We know that Priya uses 4 cups of flour to make 3 loaves of banana bread.

So, the amount of flour required per loaf of bread is 4/3 cups.

Now, if Andre makes b loaves of bread using f cups of flour, then the amount of flour required per loaf of bread is f/b cups.

We can set up a proportion as follows:

4/3 = f/b

Cross multiplying, we get:

4b = 3f

Dividing both sides by 3, we get:

b = (3/4)f

This means that Andre can make (3/4) loaves of bread per cup of flour.

But the question asks for the relationship between b and f, so we need to rearrange the equation:

b = (3/4)f

Multiplying both sides by (2/3), we get:

(2/3)b = (1/2)f

Simplifying, we get:

Ob = (3/2)f

Therefore, the correct equation that represents the relationship between b and f is Ob = (3/2)f.

Answer:

-2cotxcscx

Step-by-step explanation:

Step 1: Find a common denominator

Step 2: Simplify

Refer to the attached images.