If rich decides to make no payments during the 4.5 years, the interest will be capitalized at the end of that period. a. what will the new principal be when he begins making loan payments? b. how much interest will he pay over the llfe of the loani 1. suppose rich only paid the interest during his 4 years in school and th

The average speeds are 78 km/h and 84 km/h respectively

An equation is an expression that shows the relationship between numbers and variables using mathematical operations like exponents, addition, subtraction, multiplication and division.

The equation for speed is:

Speed = distance / time

a) James drove for 1.5 hours at an average speed of x km/h and then 2.5 hours at an average speed of y km/h.

For distance 1:

x = distance 1 / 1.5

distance 1 = 1.5x

For distance 2:

y = distance 2 / 2.5

distance 2 = 2.5y

Total distance = distance 1 + distance 2

1.5x + 2.5y = 327

multiply through by 2:

3x + 5y = 654    (1)

b) Ryan drove for 4 hours at an average speed of x km/h and then 6 hours at an average speed of y km/h. He drove a total distance of 816 km

For distance 1:

x = distance 1 / 4

distance 1 = 4x

For distance 2:

y = distance 2 / 6

distance 2 = 6y

Total distance = distance 1 + distance 2

4x + 6y = 816     (2)

c) Solving equations 1 and 2 simultaneously:

x = 78; y = 84

The value of x and y are 78 and 84 respectively

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The solution to the equation is x = 27

From the question, we have the following parameters that can be used in our computation:

√2x+10 -6=2

Add 6 to both sides of the equation

This gives

√2x+10 = 8

Square both sides

So, we have the following representation

2x + 10 = 64

Subtract 10 from both sides

2x = 54

Divide by 2

x = 27

Hence, the solution is 27

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Answer:

therefore he will pay $12,264

Answer:

$1,379.37

Step-by-step explanation:

to solve we do \(12000(1.022)^5\) then subtract 12000.

Please rate and mark as brainlest. hope this helps!

The fraction of the sheet that Amelia used for each card is 1/18 sheets.

In Mathematics and Geometry, a fraction simply refers to a numerical quantity (numeral) which is not expressed as a whole number. This ultimately implies that, a fraction is simply a part of a whole number.

First of all, we would determine the total number of sheet of construction paper used as follows;

Total number of sheet of construction paper used = 6 × 3

Total number of sheet of construction paper used = 18 sheets.

Now, we can determine the fraction of the sheet used by Amelia as follows;

Fraction of sheet = 1/3 × 1/6

Fraction of sheet = 1/18 sheets.

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Complete Question:

Amelia had 1/3 of a sheet of construction paper to make 6 greeting cards. What fraction of the sheet did she use for each card?

Answer:

slope = 3

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (1, 3) and (x₂, y₂ ) = (3, 9) ← 2 points on the line

m = \(\frac{9-3}{3-1}\) = \(\frac{6}{2}\) = 3

Answer:

Step-by-step explanation:

1A    

SOL:

            =-15 ÷ -15

            =1 ANS

B:

SOL:

       = -5÷5

       = -1 ANS

The end of the 48-inch long treadmill is raised approximately 8.36 inches.

The incline of the treadmill is given as 10 degrees.

We can use trigonometry to calculate the height of the end of the treadmill.

The height (h) can be found using the formula h = l * sin(θ), where l is the length of the treadmill and θ is the angle of inclination.

Substitute the values into the formula:

h = 48 inches * sin(10 degrees)

Calculate the sine of 10 degrees using a calculator:

sin(10 degrees) ≈ 0.1736

Multiply the length of the treadmill by the sine of the angle:

h = 48 inches * 0.1736 ≈ 8.36 inches

The end of the 48-inch long treadmill is raised approximately 8.36 inches when set at an incline of 10 degrees.

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Linear equations are equations that has a leading degree of 1. The value of x that makes the equation true is 1/4

Linear equation are equations that has a linear degree of 1. The standard linear equation is y = mx + b

Given the expression below

2(3 - 7x) = 4 - 6x

Expand

6 - 14x = 4 - 6x

Collect the like terms

6 - 14x = 4 - 6x

-14x + 6x = 4 -6

-8x = -2

Divide both sides by -8

-8x/-8 = -2/-8

x = 1/4

Hence the value of x that makes the equation true is 1/4

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Answer:

B . 1/2

Step-by-step explanation:

In this situation each experiment does not affect the probability of the next one. That is, each experiment is independent of the rest. Hence, independently of the result of the first 100 times the next probability in which Celine does the experiment, the propability will be 1/2.

Answer:

48 feet of fencing!!

Step-by-step explanation:

hope this helps! God bless you! <33

The polynomial function with the stated properties is:\(f(x) = -x^2 - 4x + 5\)

To construct a second-degree polynomial function with zeros of -5 and 1, and goes to -∞ as f→-∞, follow these steps:

1. Identify the zeros: -5 and 1

2. Write the factors associated with the zeros: (x + 5) and (x - 1)

3. Multiply the factors to get the polynomial: (x + 5)(x - 1)

4. Expand the polynomial: x^2 + 4x - 5

Since the polynomial goes to -∞ as f→-∞, we need to make sure the leading coefficient is negative. Our current polynomial has a leading coefficient of 1, so we need to multiply the entire polynomial by -1:

\(-1(x^2 + 4x - 5) = -x^2 - 4x + 5\)

The polynomial function with the stated properties is:

\(f(x) = -x^2 - 4x + 5\)

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Answer: With what??? I don't see nun

Answer:

I do not see any files or papers attached.

Step-by-step explanation:

Answer:

Sorry friend but you didn't mention the digits

Step-by-step explanation:

TRY RE-WRITING ;D

Step-by-step explanation:

the slope of a line is always the factor of x.

here : 1/2

it is the ratio y/x indicating how many units y changes, when x changes a certain angina amount of units when going from one point to another.

a perpendicular slope puts x and y upside-down and flips the sign.

here : -2/1 = -2

so, the equation looks like

y = -2x + b

b is the y-intercept, and we get this by putting the x and y coordinates of the given point into this equation and solve for b :

-1 = -2×-2 + b

-1 = 4 + b

b = -5

the full equation is therefore

y = -2x - 5

The critical z-value for a 98% confidence level is 2.33.

What is statistics?

Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of numerical data. It involves the use of methods and techniques to gather, summarize, and draw conclusions from data.

Statistics plays a significant role in various fields, including business, economics, social sciences, medicine, engineering, and many others.

To find the critical z value for a 98% confidence level, we need to look up the z-value associated with an area of 0.01 in the upper tail of the standard normal distribution table (since 98% of the area lies within the confidence interval, leaving 2% in the tails).

Using a standard normal distribution table, we can find that the z-value that corresponds to an area of 0.01 in the upper tail is approximately 2.33.

Therefore, the critical z-value for a 98% confidence level is 2.33.

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The p-values for the given sample information are approximately 0.0386 (a), 0.0892 (b), 0.0084 (c), and 0.0359 (d). These p-values represent the likelihood of obtaining sample means as extreme as or more extreme than the observed mean, assuming the null hypothesis is true.

To find the p-value for the given hypotheses, we need to perform a one-sample t-test and compare the sample mean to the hypothesized mean under the null hypothesis. The p-value represents the probability of observing a sample mean as extreme as or more extreme than the one obtained, assuming the null hypothesis is true.

a. With P = 443, s = 46, and n = 13, we calculate the t-value using the formula t = (P - μ) / (s / sqrt(n)). Substituting the values, we get t = (443 - 430) / (46 / sqrt(13)) ≈ 1.98. Using a t-distribution table or statistical software, we find the corresponding p-value to be approximately 0.0386.

b. With the same sample information as in case a, but n = 26, we recalculate the t-value. t = (443 - 430) / (46 / sqrt(26)) ≈ 1.39. Using the t-distribution table or software, the p-value is approximately 0.0892.

c. For P = 443, s = 33, and n = 19, the t-value is t = (443 - 430) / (33 / sqrt(19)) ≈ 2.62. The corresponding p-value is approximately 0.0084.

d. With P = 441, s = 33, and n = 19, the t-value is t = (441 - 430) / (33 / sqrt(19)) ≈ 1.97. The p-value is approximately 0.0359.

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Answer:

the answer is c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

C because the letter orders are parallel to the other side.

Step-by-step explanation:

We can use trigonometry to solve this problem. Let's draw a diagram:

```

A - observer (1.5 m above ground)

B - base of the clock tower

C - top of the clock tower

D - intersection of AB and the horizontal ground

E - point on the ground directly below C

C

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| x

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

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B

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A

```

We want to find the height of the clock tower, which is CE. We have the angle of elevation ACD, which is 19 degrees, and the distance AB, which is 100 m. We can use tangent to find CE:

tan(ACD) = CE / AB

tan(19) = CE / 100

CE = 100 * tan(19)

CE ≈ 34.5 m (rounded to 1 decimal place)

Therefore, the height of the clock tower is approximately 34.5 m.

Answer:

Decimal=0.8667

Percent=86.67%

You are welcome

\( \\ \\ \)

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We know:

\( \\ \)

\( \bigstar \boxed{ \rm Area \: of \: circle \: = \pi {r}^{2} }\)

\( \\ \\ \)

So:-

\( \dashrightarrow\sf A= \pi {r}^{2} \)

\( \\ \\ \)

\( \dashrightarrow\sf A=\pi \times {8}^{2} \)

\( \\ \\ \)

\( \dashrightarrow\sf A= \pi \times 8 \times 8\)

\( \\ \\ \)

\( \dashrightarrow\sf A= \pi \times 64\)

\( \\ \\ \)

\( \dashrightarrow\sf A= 64\pi \: ft {}^{2} \)

\( \\ \\ \)

Therefore option A is correct

\(\small\begin{gathered}\begin{gathered}\begin{gathered}\boxed{\begin {array}{cc}\\ \dag\quad \Large\underline{\bf \small{Formulas\:of\:Areas:-}}\\ \\ \star\sf Square=(side)^2\\ \\ \star\sf Rectangle=Length\times Breadth \\\\ \star\sf Triangle=\dfrac{1}{2}\times Base\times Height \\\\ \star \sf Scalene\triangle=\sqrt {s (s-a)(s-b)(s-c)}\\ \\ \star \sf Rhombus =\dfrac {1}{2}\times d_1\times d_2 \\\\ \star\sf Rhombus =\:\dfrac {1}{2}d\sqrt {4a^2-d^2}\\ \\ \star\sf Parallelogram =Base\times Height\\\\ \star\sf Trapezium =\dfrac {1}{2}(a+b)\times Height \\ \\ \star\sf Equilateral\:Triangle=\dfrac {\sqrt{3}}{4}(side)^2\end {array}}\end{gathered}\end{gathered}\end{gathered}\)

Answer:

1 2/5

Step-by-step explanation:

Improper Fraction - A fraction that has a numerator that is larger than the denominator

Mixed Fraction - A fraction with a whole number, or a quotient with its remainder

In order to convert improper fractions to mixed fractions, you must divide the numerator by the denominator.

So, 7/5 = 7 ÷ 5 = 1 2/5

The quotient being 1, and the remainder being 2/5 because there is 2 left out of the 5.

The integral of ∫∫D 7x dA, wherein the limits of integration are as follows:

x: 1 - √(3 - 2√(1 - r)) to 1 + √(3 - 2√(1 - r))

y: 1 - √(1 - r) to 1 + √(1 - r)

r: 0 to 1

To calculate the integral of the function f(x, y) = 7x over the region D bounded above by y = x(2 - x) and below by r = y(2 - y), we need to find the limits of integration for both x and y.

Let's start by finding the limits for y. We'll solve the quadratic equation r = y(2 - y) to obtain the lower boundary curve in terms of y. Rearranging the equation, we have:

y^2 - 2y + r = 0

Applying the quadratic formula: y = (-b ± √(b^2 - 4ac)) / (2a), where a = 1, b = -2, and c = r, we get:

y = (2 ± √(4 - 4r)) / 2

y = 1 ± √(1 - r)

Now, we need to determine the limits of integration for y. Since the region D is bounded below by r = y(2 - y), we need to find the values of r that correspond to the lower curve. The lower curve is given by y = 1 - √(1 - r). To find the limits of integration for y, we set y = 1 - √(1 - r) and solve for r:

1 - √(1 - r) = 1 ± √(1 - r)

Solving the equation above, we get two possible values for r:

1 - √(1 - r) = 1 - √(1 - r) --> r = 0

1 - √(1 - r) = -1 + √(1 - r) --> √(1 - r) = √(1 - r) --> r = 1

Therefore, the limits of integration for y are y = 1 - √(1 - r) to y = 1 + √(1 - r), and the limits of integration for r are r = 0 to r = 1.

Now let's find the limits for x. The region D is bounded above by y = x(2 - x), so we need to find the values of x that correspond to the upper curve. Setting y = x(2 - x), we can solve for x:

x(2 - x) = 1 + √(1 - r) --> 2x - x^2 = 1 + √(1 - r) --> x^2 - 2x + (1 + √(1 - r)) = 0

To find the limits of integration for x, we solve the quadratic equation above. Applying the quadratic formula: x = (-b ± √(b^2 - 4ac)) / (2a), where a = 1, b = -2, and c = (1 + √(1 - r)), we get:

x = (2 ± √(4 - 4(1 + √(1 - r)))) / 2

x = 1 ± √(3 - 2√(1 - r))

Therefore, the limits of integration for x are x = 1 - √(3 - 2√(1 - r)) to x = 1 + √(3 - 2√(1 - r)).

Now, we can set up the integral of f(x, y) = 7x over the region D using the limits of integration we found:

∫∫D 7x dA

Where dA represents the area element. The limits of integration are as follows:

x: 1 - √(3 - 2√(1 - r)) to 1 + √(3 - 2√(1 - r))

y: 1 - √(1 - r) to 1 + √(1 - r)

r: 0 to 1

You can now evaluate this double integral using these limits to find the result.

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Answer: The answer is 37.7

Step-by-step explanation: 2 x 3.14 x 6

2 times pi/3.14 times half of the diameter, which is 6.

Answer:

D its really basic math you can also just do it in a calculator lel

Answer:

3 ^12

Step-by-step explanation:

3^15/3^3

15-3 =12

3^12

Answer:

5

Step-by-step explanation:

This is because |-5| is equal to 5

Answer:

It is 5

Step-by-step explanation:

The absolute value sign means how many spots that number is away from the 0 on the number line so it makes all numbers positive except if there is a negative sign on the outside of the absolute value sign

Answer:x 55x5x5x56x6x7x74 4,527,600

Answer:

that is so cool! Keep up the great work Josh

Step-by-step explanation:

Answer:

-14x+6

Step-by-step explanation:

we distribute -3 in to get:

-12x+6-2x

Combine like terms

-14x+6