I have tried this problem multiple times now and don't get the correct answer. Please help!

The approximate APR for the purchase is 16%

To calculate the annual percentage rate (APR)

We would calculate the interest rate

Add the administrative fees to the interest amount

Divide the loan amount (principal)

Divide by the total number of days in the loan term

Multiply all year

Multiply by 100 to convert to a percentage

Interest= P * R * t

APR= [tex]\frac{\frac{216}{900}}{6 * 4 * 100}[/tex]

APR = 16%

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Answer:=102.5

Step-by-step explanation:

The conclusion that is justified based on the research is that he rejected the null hypothesis that women drank the same amount of water per kg of body weight per day as men.

It should be noted that a research is simply used to get information about a topic.

In this case, it can be deduced that a type 1 error is committed. This implies the rejection of the null hypothesis when it's true.

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Answer:

Two

Step-by-step explanation:

Solutions are when the two graphs intersect

Option B and D would have closed circles when graphed

The domain and range of a function are the components of a function. The domain is the set of all the input values of a function and range is the possible output given by the function.

At the endpoints of the domain, we draw open circles to indicate where the endpoint is not included because of a less-than or greater-than inequality; we draw a closed circle where the endpoint is included because of a less-than-or-equal-to or greater-than-or-equal-to inequality.

∴ Option B and D that are 5.7 ≤ p and [tex]\frac{1}{2}[/tex] ≥ y respectively would have closed circles

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The sign of f on the interval -5/3 is negative

The function is given as:

f(x)=(2x−1)(3x+5)(x+1)

The zeros of the function are

x= -5/3, x= -1 and x= 1/2

Next, we plot the graph of the function

At x = -5/3, the function approaches negative infinity

This means that the sign of f on the interval -5/3 is negative

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Answer:

C

Step-by-step explanation:

The sum of Sonya's 5 initial tests = 89*5 = 445.

445 + 95 = 540 (sum of the 6 tests)

Average = 540/6 = 90

Hence C

Answer:

C.  90.00

Step-by-step explanation:

We find average by adding up all values in a data set and dividing by the total number of values we have

We can say that Sonya got 89 for each test (it doesn't matter what each test score exactly was--you'll see why in a second)

So, we can add up 89 five times (5 tests have occured)

*I say add up, because that's what average is, but you can find this number by multiplying 89 · 5

89 · 5 = 445

(89 + 89 + 89 + 89 + 89 = 445)

Now, we need to add up our new value: 95

445 + 95 = 540

So, we can now divide 540 (sum of all values) by 6 (total number of values)

540 ÷ 6 = 90

So, C (90.00) is her new average

hope this helps! have a lovely day :)

The  composition of transformations maps figure EFGH to figure E"F"G"H" is Option A.a reflection across line k followed by a translation down.

A translation can be explained as the movement of a shape in a direction which could be up, down but the appearance of the figure remain unchanged in any other way.

And from the figure, we can see that a translation is used, because of the movement of EFGH to figure E"F"G"H" which occurred in the same direction.

Hence,  composition of transformations maps figure EFGH to figure E"F"G"H" is Option A.a reflection across line k followed by a translation down.

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Answer:

system

equations

Step-by-step explanation:

Answer:

A system of two linear equations can have one solution, an infinite number of solutions, or no solution.

===================================================

Explanation:

An equation is something like [tex]\text{y} = 2\text{x}+5[/tex] and [tex]\text{y} = 3\text{x}+7[/tex]

When we combine two such equations to form a group (of sorts), we consider this to be a system of equations.

We use a single curly brace to write the system

[tex]\begin{cases}\text{y} = 2\text{x}+5\\\text{y} = 3\text{x}+7\end{cases}[/tex]

Here are the three cases mentioned when it comes to solutions.

Side note:  Any solution is of the form (x,y)

Answer:

Area = 1125mi

Step-by-step explanation:

Area of sector =  [tex]r^2 *\frac{\alpha }{2}[/tex]

[tex]r^{2} =5^{2} =25[/tex]

[tex]25*\frac{\alpha}{2}[/tex]

[tex]25*\frac{90}{2} =25*45=1125[/tex]

[tex]\alpha[/tex] = angle

[tex]r[/tex] = radius

radius is 5mi

in this case the angle is 90°

A = 1125mi

you can also solve by using circle area which is [tex]\pi r^{2}[/tex]

then divide by 4 because this is 1/4 of the circle.

Hope this helps

[tex]\huge\boxed{3.81\ \text{centimeters}}[/tex]

We simply need to convert 1.5 inches to centimeters.

Use multiplication:

[tex]1.5\cdot2.54=\boxed{3.81}[/tex]

When two straight lines or rays intersect at a shared endpoint, an angle is generated. The correct option is A.

When two straight lines or rays intersect at a shared endpoint, an angle is generated. An angle's vertex is the common point of contact. Angle is derived from the Latin word angulus, which means "corner."

The diagram for the given problem can be made as shown below. Therefore, the other name for angle 2 will be ∠DGE.

Hence, the correct option is A.

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Answer:

a

Step-by-step explanation:

got it right

The amount of money left from 3 months of saving once he pays for his vacation is $942.50

= $7,003.50

Monthly expenses = $1437

Total expenses = 3 × $1437

= $4,311

Cost of vacation = $1750

Total balance = $7,003.50 - ($4,311 + $1750)

= 7,003.50 - 6061

= $942.50

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3) We have

[tex]f(x) = \sec\left(\dfrac{\pi x}2\right) = \dfrac1{\cos\left(\frac{\pi x}2\right)}[/tex]

which has vertical asymptotes (i.e. infinite discontinuities) whenever the denominator is zero. This happens for

[tex]\cos\left(\dfrac{\pi x}2\right) = 0[/tex]

[tex]\implies \dfrac{\pi x}2 = \cos^{-1}(0) + 2n\pi \text{ or } \dfrac{\pi x}2 = -\cos^{-1}(0) + 2n\pi[/tex]

(where [tex]n[/tex] is any integer)

[tex]\implies \dfrac{\pi x}2 = \dfrac\pi2 + 2n\pi \text{ or } \dfrac{\pi x}2 = -\dfrac\pi2 + 2n\pi[/tex]

[tex]\implies x = 1 + 4n \text{ or } x = -1 + 4n[/tex]

So the graph of [tex]f(x)[/tex] has vertical asymptotes whenever [tex]x=4n\pm1[/tex] and [tex]n\in\Bbb Z[/tex].

4) Given

[tex]h(t) = \begin{cases} t^3+1 & \text{if } t<1 \\ \frac12 (t+1) & \text{if } t\ge1 \end{cases}[/tex]

we have the one-sided limits

[tex]\displaystyle \lim_{t\to1^-} h(t) = \lim_{t\to1} (t^3+1) = 1^3+1 = 2[/tex]

and

[tex]\displaystyle \lim_{t\to1^+} h(t) = \lim_{h\to1} \frac{t+1}2 = \frac{1+1}2 = 1[/tex]

The one-sided limits don't match, so the two-sided limit [tex]L[/tex] does not exist. In other words, the limit does not exist at [tex]x=1[/tex] because the function approaches different values from the left and right side of [tex]x=1[/tex].

The measure of <TRS and angle d are 70 and 43degrees respectively

The given triangles are isosceles triangles since they have two equal sides.

14) From he triangle RST

<TRS + 90 + 20 = 180

<TRS + 110. = 180

Subtract 110 from both sides

<TRS = 180 -110

<TRS = 70 degrees

15) For this triangle;

d = 86/2

d = 43 degrees

Hence the measure of <TRS and angle d are 70 and 43degrees respectively

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Answer:

[tex]x=6, x=-4[/tex]

Step-by-step explanation:

1) Let's solve this quadratic equation by factorizing. We need to find two numbers that multiply to -24 and add up to -2 simultaneously. If we pull out the factors of -24, two of them will be -6 and 4, which multiply to -24 as well as add up to -2.

3) Write [tex]-2x[/tex] as a sum.

[tex]x^2-6x+4x-24=0[/tex]

Now, we can factor them out by grouping.

[tex]x^2-6x+4x-24=0\\x(x-6) + 4(x-6)=0[/tex]

Since, [tex]x -6[/tex] is common in both of the factors, we only take one of the [tex]x -6[/tex] along with [tex]x[/tex] and [tex]4[/tex] and all equated to 0.

[tex](x-6)(x+4) = 0[/tex]

Solve for x: [tex]x-6=0[/tex]

[tex]x=0+6\\x=6[/tex]

Solve for x: [tex]x+4=0[/tex]

[tex]x=0-4\\x=-4[/tex]

Therefore, our solutions to this quadratic equation are  [tex]x=6, x=-4[/tex].

Triangle ABC was translated using the rule (x, y) (x + 2, y + 1) to form congruent triangle A'B'C' with AA' = √5 units

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Point A is at (0, 0). Using the transformation T: (x, y) (x + 2, y + 1), point A' = (2, 1). Hence:

[tex]AA'=\sqrt{(1-0)^2+(2 - 0)^2}=\sqrt{5}[/tex]

Triangle ABC was translated using the rule (x, y) (x + 2, y + 1) to form congruent triangle A'B'C' with AA' = √5 units

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Answer:

A monomial is a polynomial, which has only one term. A monomial is an algebraic expression with a single term but can have multiple variables and a higher degree too. For example, 9x3yz is a single term, where 9 is the coefficient, x, y, z are the variables and 3 is the degree of monomial.

Since the lines have the same slopes, hence they are parallel lines

We can determine the relations by knowing the slopes of the line

For the line with coordinates (9, –5) and (5, –2)

Slope = -2+5/5-9
Slope = -3/4

For the line with coordinates (–4, –2) and (–8, 1)

Slope = 1+2/-8+4
Slope = -3/4

Since the lines have the same slopes, hence they are parallel lines

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(a) By the formula for the area of a square, the answer is [tex]16^2 = 256[/tex] square km

(b) By the formula for the area of a circle, the answer is [tex](\pi)\left(\frac{16}{2} \right)^2 =64\pi[/tex] square km

(c) Subtracting areas, we get [tex]256-64\pi[/tex] square km

Answer: d

Step-by-step explanation:

60*0.6=36

60-36=24

24 are not thoroughbreds

[tex](x+3)^3\cdot x\cdot (x-3)=(x^3+9x^2+27x+27)\cdot (x^2-3x)=\\=x^5-3x^4+9x^4-27x^3+27x^3-81x^2+27x^2-81x=\\=x^5+6x^4-54x^2-81x[/tex]

Using the Empirical Rule, it is found that 49 farms in the sample have land and building values per acre between $1100 and $1700.

It states that, for a normally distributed random variable:

Considering the given mean and standard deviation, values between $1100 and $1700 are within 1 standard deviation of the mean, which is a percentage of 68%.

Hence, the number of farms out of 72 is:

0.68 x 72 = 49 farms.

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Now A and B are independent

Both connectors must work together to make the parallel circuit work

P(A and B)

Connectors be C1 and C2

We need P(C1.C2)

Note the formula

For independent events

[tex]\boxed{\sf P(AB)=P(A)P(B)}[/tex]

[tex]\\ \tt{:}\dashrightarrow P(C1C2)=P(C1)P(C2)[/tex]

[tex]\\ \tt{:}\dashrightarrow 0.84(0.72)[/tex]

[tex]\\ \tt{:}\dashrightarrow 0.6[/tex]

The probability that at least one of the calculators is defective is : 0.725

Probability is the likelihood of an event happening or not.

if there is certainty that the event would happen probability is 1.

Analysis:

probability = required outcome/possible outcome

for 33 good calculators and 12 defective calculators, total calculators = 45

4 calculators were chosen, possible outcome = 45C4 = 148995

Required outcome = 33C3 . 12C1 + 33C2 . 12C2 + 33C1 . 12C3 + 33C0 . 12C4

= 65472 + 34848 + 7260 + 495 = 108075

Probability = 108075/148995 = 0.725

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Unit conversion is a way of converting some common units into another without changing their real value. The lemonade left with Tony is 4500ml.

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

One litre is equal to 1000 millilitres. Tony made 14 Liter of lemonade, therefore, Tony made 14,000 millilitres of lemonade. His guest drank 9500 millilitres. Therefore, the lemonade left with Tony is,

Lemonade left = 14,000 - 9,500 = 4,500 ml

Hence, the lemonade left with Tony is 4500ml.

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The probability that a randomly selected chocolate bar will have between 200 and 220 calories is 3.97%

An equation is an expression that shows the relationship between two or more variables and numbers.

The zscore is given a:

z = (raw score - mean) / standard deviation

mean = 225, standard deviation o = 10.

a) For x = 200:

z = (200 - 225) / 200 = -0.125

For x = 220:

z = (220 - 225) / 200 = -0.025

P(-0.125 < z < -0.025) = P(z < -0.025) - P(z < -0.125) = 0.4880 - 0.4483 = 3.97%

b) For x = 190:

z = (190 - 225) / 200 = -0.175

P(z < -0.025) = P(z < -0.175) = 0.4286

The probability that a randomly selected chocolate bar will have between 200 and 220 calories is 3.97%

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The area of the triangle is 14.1 square meters

The side lengths are given as:

5m, 6m and 9m

Calculate the semi-perimeter (s) using

s = (5 + 6 + 9)/2

Evaluate

s = 10

The area is then calculated as:

[tex]Area = \sqrt{s(s -a)(s-b)(s-c)[/tex]

This gives

[tex]Area = \sqrt{10 * (10 -5)(10-6)(10-9)[/tex]

Evaluate the products

[tex]Area = \sqrt{200[/tex]

Evaluate the exponent

Area = 14.1

Hence, the area of the triangle is 14.1 square meters

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The value of the integral is [tex]\int\limits^{}_s {9x + 2y + z^2} \, dS = \frac{4}{3}\pi[/tex]

The expression is given as:

[tex]\int\limits^{}_s {9x + 2y + z^2} \, dS[/tex]

[tex]x^2 + y^2 + z^2 = 1[/tex]

Rewrite the integral as:

[tex]\int\limits^{}_s {9x + 2y + z*z} \, dS[/tex]

As a general rule, we have:

[tex]\int\limits^{}_s {Px + Qy + R*z} \, dS[/tex]

By comparison, we have:

P = 9

Q = 2

R = z

By the divergence theorem, we have:

F = Pi + Qj + Rk

So, we have:

F = 9i + 2j + zk

Differentiate

F' = 0 + 0 + 1

F' = 1

The volume of a sphere is:

[tex]V = \frac{4}{3}\pi r^3[/tex]

Where:

r = F' = 1

So, we have:

[tex]V = \frac{4}{3}\pi (1)^3[/tex]

Evaluate

[tex]V = \frac{4}{3}\pi[/tex]

This means that:

[tex]\int\limits^{}_s {9x + 2y + z^2} \, dS = \frac{4}{3}\pi[/tex]

Hence, the value of the integral is [tex]\int\limits^{}_s {9x + 2y + z^2} \, dS = \frac{4}{3}\pi[/tex]

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