Al's total payment for his loan was $34,267. What was his monthly payment if he
paid it off after making 42 monthly payments? Round to the nearest dollar. Do not
state the units.

Answer:

c

Step-by-step explanation:

Answer:

y=8x-34

Step-by-step explanation:

Answer:

No, the two sides are not congruent.

I flipped my whole laptop around to check loll

Answer:

2

Step-by-step explanation:

Write the equation

\(\frac{3x-y}{3(x-y)}\)

Add the variables

\(\frac{3(5)-3}{3(5-3)}\)

Multiply 3 x 5

\(\frac{15-3}{3(5-3)}\)

Subtract the parentheses

\(\frac{15-3}{3(2)}\)

Subtract the numerator

\(\frac{12}{3(2)}\)

Reduce the fraction with 3

\(\frac{12}{3(2)} = \frac{4}{2}\)

Reduce the fraction again with 2

\(\frac{4}{2} = 2\)

And there's your answer of 2!

Answer:

BC=26.05

Step-by-step explanation:

by tan(X) rule

tan(61)=47/BC

BC= 47 / tan(61)

BC=26.05

Answer:

Step-by-step explanation:

Given Information :

Hypotenuse : Not given

Opposite : 47

Adjacent : BC

Angle ( θ) = 61°

Using SOHCAHTOA

\(Tan\: \theta = \frac{Opposite}{Adjacent} \\\\Tan \: 61 = \frac{47}{BC} \\\\1.804 = \frac{47}{BC}\\\\Cross\:Multiply\\1.804BC= 47\\\\Divide\:both\:sides\:by\:1.8 \\\\\frac{1.804BC}{1.804} = \frac{47}{1.804} \\\\BC= 26.05\)

When multiplying decimals, the number of decimal places in the product is the sum of the decimal places in the factors. When dividing by decimals, move the decimal point in the dividend the same number of places to the right as you move the decimal point in the divisor.

Answer:

A' = (0,0)

B'=(8,0)

C'=(8,2)

D'=(0,2)

It is not a rigid motion.

Step-by-step explanation:

To use the mapping rule, substitute the original x and y values in it.

The coordinates of A are (0,0).

Using the mapping rule, the x coordinate of A' = 2x0 = 0

Using the mapping rule, the y coordinate of A' = (1/2)x0=0

So A' will not change locations. The image will be at (0,0).

The coordinates of B are (4,0)

Using the mapping rule, the x-coordinate of B' = 2x4 = 8

Using the mapping rule, the y-coordinate of B' = (1/2)x0=0

Therefore the image of B' will be located at coorindate (8,0)

The coorindates of C are (4,4).

Using the mapping rule, the x-coordinate of C' = 2x4=8

Using the mapping rule, the y-coordinate of C' = (1/2)x4=2

Therefore the image of C' will be located at coordinate (8,2)

The coordinates of D are (0,4)

Using the mapping rule, the x-coordinate of D' = 2x0 = 0

Using the mapping rule, the y-coordinate of D' = (1/2)x4=2

Therefore the image of D' will be located at coordinate (0,2)

Is the transformation a rigid motion?

NO, this transformation is not a rigid motion because the relative distance between the points does not stay the same after they have been transformed. The transformation is not a translation , rotation, reflection, nor glide reflection.

Answer:

\(x=1\\x=-1\)

Step-by-step explanation:

\(9x^{4} -2x^{2} -7=0\\y=x^{2} \\9y^{2} -2y-7=0\\y=\frac{2\pm\sqrt{(-2)^{2} -4*9(-7)} }{2*9} =\frac{2\pm\sqrt{4+252} }{18} =\frac{2\pm\sqrt{256} }{18}\)

\(\sqrt{256} =16\)

\(y=\frac{2+16}{18} =\frac{18}{18} =1 \\or \\y=\frac{2-16}{18} =-\frac{14}{18} =-\frac{7}{9}\)

\(x^{2} = 1 \\or \\x^{2} =-\frac{7}{9}\)

\(x=\pm 1\)

\(x^{2} =-\frac{7}{9}\) has no solution since fot all \(x\) on the real line, \(x^{2} \geq 0\) and \(-\frac{7}{9} < 0.\)

The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

For more questions on equilateral triangle:

https://brainly.com/question/17264112

#SPJ8

Answer:

22hrs

Step-by-step explanation:

hope it is well understood?

The amount that would be in the account kept with BPI bank in 3 years is P3,011.2640

It would 6.9422 years for the deposit to double if interest rate is 10,5%

What is future value of immediate amount?

The future value of deposit today in 3 years means its future equivalent when the amount has earned interest over the 3 years period

FV=PV*(1+r)^N

FV=future value after 3 years=unknown

PV=immediate deposit=3,000

r=annual interest rate=0.125%

N=number of years that the deposit lasted=3

FV=3000*(1+0.125%)^3

FV=P3,011.2640

Time taken to double:

FV=future value=3000*2=6000

PV=3000

r=annual interest rate=10.5%

N=number of years that it takes initial deposit to double=unknown

6000=3000*(1+10.5%)^N

6000/3000=(1.105)^N

2=(1.105)^N

take log of both sides

ln(2)=N*ln(1.105)

N=ln(2)/ln(1.105)

N=6.9422 years

Annuity:

FV=PMT*(1+r)^N-1/r

FV=future value of annuity=unknown

PMT=annual payment=20000

r=interest rate=3%

N=number of annual payments=7

FV=20000*(1+3%)^7-1/7%

FV= 153,249.2436

FV=PMT*(1+r)^N-1/r*(1+r)

FV=20000*(1+3%)^7-1/7%*(1+7%)

FV= 157,846.7209

20,000,000=1,250,000*(1+r)^20

20,000,000/1,250,000=(1+r)^20

16=(1+r)^20

(16)^1=(1+r)^20

divide indexes on both sides by 20

(16)^(1/20)=1+r

r=(16)^(1/20)-1

r=14.8698%

Find out more about future value on:brainly.com/question/12963648

#SPJ1

The value of set c will be equal to {2, 5, 10}.

A set contains elements or members that can be mathematical objects of any kind, including numbers, symbols, points in space, lines, other geometric shapes, variables, or even other sets. A set is the mathematical model for a collection of various things.

In mathematics, a set is a logically arranged group of items that can be represented in either set-builder or roster form. Sets are typically denoted by curly brackets; for instance, A ={ 1, 2, 3, 4 } is a set.

A set is a collection of items that are meant to be used together, such as the set of even numbers (2, 4, 6, etc.) or your bedroom set, which consists of your bed, nightstands, and dresser.

To learn more about sets from given link

https://brainly.com/question/13458417

#SPJ1

Answer: the set c will equal {2, 5, 10}.

Using triangle laws, the speed of the helicopter was 16.84km/h

The speed of the helicopter can be calculated when we know the distance at which the helicopter travelled.

To find the length PQ, we have to use some laws in triangle

Taking the observer position to Q

We can use trigonometric ratio here;

Tan θ = opposite / adjacent

tan 21 = 300 / x

x = 300 / tan 21

x = 781.53m

P + Q + R = 180 degrees (sum of angles in a triangle

33 + 70 + (r + 21) = 180

r = 56

The angle a = r + 21 = 56 + 21 =  77

Using sine rule

a / sin A = b / sin B

a / sin 77 = 781.53 / sin 33

Cross multiply both sides and solve for a

a = 781.53sin77 / sin33

a = 1398.2m

The distance PQ is 1398.2m = 1.398km

The time it takes to reach that distance = 5 minutes = 5 / 60 = 0.083h

The speed of the helicopter  = 1.398 / 0.083 = 16.84km/h

Learn more on speed here;

https://brainly.com/question/6504879

#SPJ1

The answer is D: conjecture

The key words in the description are "look for a pattern and then form an educated guess." This suggests making a hypothesis or assumption based on the observed pattern, which is the definition of a conjecture.

The other answer choices are defined as follows:

A. conjugation - the act of changing a verb to agree with its subject

B. conjunction - a connecting word

C. congruence - the state of agreeing, matching, or coinciding

D. conjecture - an opinion or conclusion formed on the basis of incomplete information

So option D, conjecture, is the best match for forming an educated guess based on an observed pattern in induction.

Answer:

the tires cost 350 with the discount

Step-by-step explanation:

Answer:

Givn : OK = 3, OJ = 30, KN = 1, JM = 3

ON=OK+KN=3+1=4

OM=OJ+JM=30+10=40

In triangles OKJ & ONM,

OKOJ=330=110

ONOM=440=110

Angle O is common in both the triangles.

Two sides are in same proportion and the included angle is common (SAS) . Hence both the triangles are similar.

That means KJNM=110 or the two sides are parallel.

Hence ˆK=ˆN,ˆJ=ˆM corresponding angles.

The equation formed after the transformations is given as follows:

\(g(x) = \frac{1}{6}\sqrt{x + 3}\)

The parent function in this problem is defined as follows:

\(f(x) = \sqrt{x}\)

For the vertical shrink by a factor of 1/6, the function is multiplied by 1/6, hence it is given as follows:

\(g(x) = \frac{1}{6}\sqrt{x}\)

For the translation left 3 units, we have that x -> x + 3, hence:

\(g(x) = \frac{1}{6}\sqrt{x + 3}\)

More can be learned about transformations at https://brainly.com/question/28687396

#SPJ1

Answer:

32. A

33. B

Step-by-step explanation:

32. Mean: In order to find the mean, add all of the #up which is 194 then divide by how many # there is

33. Start by crossing out the beginning # and the end # all the way till you get the # without another pair in the end

Answer:

345

Step-by-step explanation:

Answer:

\(\displaystyle\)\(\displaystyle f'(1)=-\frac{9}{e^3}\)

Step-by-step explanation:

Use Quotient Rule to find f'(x)

\(\displaystyle f(x)=\frac{3x^2+2}{e^{3x}}\\\\f'(x)=\frac{e^{3x}(6x)-(3x^2+2)(3e^{3x})}{(e^{3x})^2}\\\\f'(x)=\frac{6xe^{3x}-(9x^2+6)(e^{3x})}{e^{6x}}\\\\f'(x)=\frac{6x-(9x^2+6)}{e^{3x}}\\\\f'(x)=\frac{-9x^2+6x-6}{e^{3x}}\)

Find f'(1) using f'(x)

\(\displaystyle f'(1)=\frac{-9(1)^2+6(1)-6}{e^{3(1)}}\\\\f'(1)=\frac{-9+6-6}{e^3}\\\\f'(1)=\frac{-9}{e^3}\)

Answer:

\(f'(1)=-\dfrac{9}{e^{3}}\)

Step-by-step explanation:

Given rational function:

\(f(x)=\dfrac{3x^2+2}{e^{3x}}\)

To find the value of f'(1), we first need to differentiate the rational function to find f'(x). To do this, we can use the quotient rule.

\(\boxed{\begin{minipage}{5.5 cm}\underline{Quotient Rule for Differentiation}\\\\If $f(x)=\dfrac{g(x)}{h(x)}$ then:\\\\\\$f'(x)=\dfrac{h(x) g'(x)-g(x)h'(x)}{(h(x))^2}$\\\end{minipage}}\)

\(\textsf{Let}\;g(x)=3x^2+2 \implies g'(x)=6x\)

\(\textsf{Let}\;h(x)=e^{3x} \implies h'(x)=3e^{3x}\)

Therefore:

\(f'(x)=\dfrac{e^{3x} \cdot 6x -(3x^2+2) \cdot 3e^{3x}}{\left(e^{3x}\right)^2}\)

\(f'(x)=\dfrac{6x -(3x^2+2) \cdot 3}{e^{3x}}\)

\(f'(x)=\dfrac{6x -9x^2-6}{e^{3x}}\)

To find f'(1), substitute x = 1 into f'(x):

\(f'(1)=\dfrac{6(1) -9(1)^2-6}{e^{3(1)}}\)

\(f'(1)=\dfrac{6 -9-6}{e^{3}}\)

\(f'(1)=-\dfrac{9}{e^{3}}\)

Hence, last weekend, Anjie earned $178.75.

Hoped this helped.

\(BrainiacUser1357\)

Answer: Standard pet microchips are typically 11–13 mm long (approximately 1⁄2 inch) and 2 mm in diameter.

Step-by-step explanation: I hope this helps.

The area of the figure is 51.4 unit²

Figure ABCDEF is shown. A is located at 5, negative 8. B is located at 11, negative 8. C is located at 11, 0. D is located at 6

See attachment for the figure

The figure can be divided into the following shapes:

The area of the trapezoid is:

Area = 0.5 * (Sum of opposite sides) * height

So, we have:

Trapezoid 1 = 0.5 * (8 + 5) * 5 = 32.5

Trapezoid 2 = 0.5 * (5 + 4.8) * 2 = 9.8

The area of the triangle is:

Area = 0.5 * Base * Height

This gives

Triangle = 0.5 * 4.8 * 4 = 9.6

Add the individual areas

Area = 32 + 9.8 + 9.6

Evaluate the sum

Area = 51.4

Hence, the area of the figure is 51.4 unit²

Read more about areas at:

https://brainly.com/question/24487155

#SPJ1

The method that will not give the correct number of inches is that the total length of the plant in a week is 19/4 inches.

Length of the small plant = 2 1/2 = 5/2 inches

Rate of growth = 3/4 inches

Increase in length in 3 weeks will be:

= 3 × 3/4 = 4

Total length = 5/2 + 9/4

= 19/4 inches.

Learn more about plant on:

brainly.com/question/11511241

#SPJ1

Answer:

The table shows that there are a total of 142 books on Diana's bookshelf, with 77 books written by female authors and the rest by male authors. However, the number of non-fiction books written by female authors is missing from the table, so it is impossible to determine the exact number without more information.

Step-by-step explanation:

Answer:

104 books

Step-by-step explanation:

                 Fiction         Non-Fiction      Total

Male              36                     38

Female                                    x

Total              77                     142

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

x = 142 - 38 = 104

Answer:

The correct answer is: u = 10,500. When the value of the alternative hypothesis is greater than that of the null hypothesis, the power of the test will be increased, so a value of u = 10,500 would yield the greatest power to reject the null hypothesis.

It takes 0.7143 seconds for the ball in the air to hit the ground.

Therefore the answer is 0.7143 s.

The time it takes for the ball to hit the ground can be calculated using the formula for vertical motion with constant acceleration (g = 9.8 m/s²):

t = √(2 * h / g)

where h is the height the ball is thrown and t is the time it takes to hit the ground.

Plugging in the values to find time:

t = √(2 * 2.50 m / 9.8 m/s²)

t = √(0.51) s

t = 0.7143 s

So, the ball is in the air for approximately 0.7143 seconds before it hits the ground.

--The question is incomplete, answering to the question below--

"A student standing on the wall throws a ball straight up. The ball leaves the student's hands with a speed of 19.0 m/s when the hand is 2.50 m above the ground.

How long is the ball in the air before it hits the ground? (the student moves her hand out of the way.)"

To know more on projectile motion

https://brainly.com/question/29545516

#SPJ4

No. We cannot always use synthetic divison to divide polynomials.

Synthetic division can only be used to divide polynomials if the degree of the denominator is  equal to one.

Synthetic division is only used for a linear factor of the denominator.

When the degree of the denominator is greater than one, we can use long division.

So, we cannot always use synthetic division for dividing polynomials

Therefore, no. We cannot always use synthetic divison to divide polynomials.

Learn more about synthetic division of polynomials here:

brainly.com/question/16418815:

#SPJ4

The length of the hypotenuse is 7m.

Let the side opposite to 30° be the shortest leg.

The side opposite to 60° is the longest leg.

So, the side opposite to 90° is hypotenuse.

Length of the shortest side is x.

Length of longest side is \(\sqrt{3}x\)

Length of the hypotenuse is 2x.

We know x = 7

So, \(\sqrt{3}(x)=\sqrt{3}(7)\)

Thus, the length of the longer leg is \(\sqrt{3}(7)\) m

Length of hypotenuse = 2x = 2(7) = 14m

\(x^{2} +(\sqrt{3} x)^2 =(2x)^2\\\\(7)^2+(\sqrt{3} (7))^2=(2x)^2\\\\49 + (3(49)) = (2x)^2\\\\49 + 147= (2x)^2\\\\(2x)^2=196\)

Taking square root on both sides:

\(2x = \sqrt{196}\)

2x = 14

x = 7

Therefore, the length of the hypotenuse is 7m.

Learn more about Triangle at:

https://brainly.com/question/2773823

#SPJ1

Answer:

Heliul are proprietăți chimice atât de diferite de cele ale celorlalte elemente încât nu poate fi plasat în niciun grup.

Step-by-step explanation: