MAX POINTS
The 19% APR is the annual interest rate, but it is compounded monthly. What is the
monthly interest rate?

Other loan info (I don't know what all you need to calculate this)

The debt owed is 910$ and the minimum payments is 2.5% or ten dollars whatever is larger. Assume Zach is going to pay only the minimum. If he only pays minimum it would take him 154 months.

Answers

Answer 1

Answer:

Monthly rate: 19%/12 ≈ 1.5833%72 months to pay off the loan

Step-by-step explanation:

The monthly interest rate is the annual rate (APR) divided by 12.

  19%/12 ≈ 1.5833%

The loan will be paid in fewer than 91 months, because Zach will be paying at least $10 per month on his current balance of $910. The attached spreadsheet shows it will take 73 payments to pay off the loan.

MAX POINTSThe 19% APR Is The Annual Interest Rate, But It Is Compounded Monthly. What Is Themonthly Interest

Related Questions

What is the volume of this prism?
16
28
112
56

Answers

Answer:

the answer 56 cubic units

Step-by-step explanation:

The difference in length of a spring on a pogo stick from its non-compressed length wen a teenager is jumping on it after θ seconds can be described by the function f of theta equals 2 times sine theta plus radical 3 period Part A: Determine hall values where the pogo stick's spring will be equal to its non-compressed length. (5 points) Part B: If the angle was doubled, that is θ became 2θ, what are the solutions in the interval [0, 2π)? How do these compare to the original function? (5 points) Part C: A toddler is jumping on another pogo stick whose length of their spring can be represented by the function g of theta equals 1 minus cosine squared theta plus radical 3 period At what times are the springs from the original pogo stick and the toddler's pogo stick lengths equal? (5 points)

Answers

Answer:

Refer to your notes from module 6 on this.

Step-by-step explanation:

Complete this test question just like you did the practice question from the module. Remember your test is an open note test, but it is not a copy from the internet test. You can do it!!!

The values of [tex]\theta[/tex] for different conditions were calculated with the help of trigonometric functions.

What are the solutions to trigonometric functions?

The solution of trigonometric functions is the values of angles where the function value becomes zero.

Given function is:

A)[tex]f(\theta ) = 2Sin\theta +\sqrt{3}[/tex]

[tex]f(\theta ) = 2Sin\theta +\sqrt{3} = 0\\2Sin\theta = -\sqrt{3} \\Sin\theta =-\frac{\sqrt{3} }{2}[/tex]

[tex]\theta =n\pi +\frac{\pi }{3}[/tex] where n=1,3,5,7......

So, at [tex]\theta =n\pi +\frac{\pi }{3}[/tex]  pogo stick's spring will be equal to its non-compressed length.

B)If the angle was doubled, the function will look like this,

[tex]f(\theta ) = 2Sin2\theta +\sqrt{3}[/tex]

[tex]f(\theta ) = 2Sin2\theta +\sqrt{3} =0[/tex]

[tex]2Sin2\theta +\sqrt{3} = 0\\2Sin2\theta = -\sqrt{3} \\Sin2\theta =-\frac{\sqrt{3} }{2}[/tex]

[tex]2\theta =n\pi +\frac{\pi }{3}\\\theta = \frac{n\pi }{2} +\frac{\pi }{6}[/tex]where  n=1,3,5,7....

if n=1, [tex]\theta =\frac{2\pi }{3}[/tex]

n=2, [tex]\theta =\frac{7\pi }{6}[/tex]

n=3, [tex]\theta =\frac{5\pi }{3}[/tex]

So,  [tex]\theta =\frac{2\pi }{3}, \frac{7\pi }{6} ,\frac{5\pi }{3}[/tex] will be solution in [0,2π}.

C)[tex]g(\theta) =1-cos^{2} \theta +\sqrt{3}[/tex]

[tex]g(\theta) =Sin^{2} \theta + \sqrt{3}[/tex]

[tex]g(\theta) =f(\theta)[/tex]

[tex]sin^{2} \theta +\sqrt{3} = 2Sin\theta+\sqrt{3}[/tex]

[tex]Sin^2\theta = 2Sin\theta[/tex]

[tex]Sin^2\theta-2Sin\theta = 0\\Sin\theta(Sin\theta-2) =0\\Sin\theta =2(NotPOSSIBLE)\\Sin\theta =0[/tex]

[tex]\theta=n\pi[/tex] where n=1,2,3.....

So, [tex]\theta=n\pi[/tex], the lengths of springs from the original pogo stick and the toddler's pogo stick are equal.

Hence, the values of [tex]\theta[/tex] for different conditions were calculated with the help of trigonometric functions.

To get more about trigonometric functions visit:

https://brainly.com/question/2291993

Which table represents a refation that is not a function?

Answers

Answer:

D is not a function since there are 2 inputs or x value that are the same

Step-by-step explanation:

mi poto colorado nya i chi ni dan

6x+9=8-4.4x round to the nearest tenth

Answers

Answer:

Step-by-step explanation:

6x + 9 = 8 - 4.4x                Add 4.4x to both sides

6x+4.4x+ 9 = 8                  Combine

10.4x + 9 = 8                      Subtract 9 from both sides

10.4x = 8 -       9                 Combine

10.4x = - 1                            Divide by 10.4

x = - 1 / 10.4

Answer x = -0.09615 or rounded x = - 0.1

anyone? I’ll brainlist.

Answers

Answer:

v = 18.38

Step-by-step explanation:

We are going to use the Pythagorean theorem

We see that there are double slits on the right side of the triangle, indicating that 5.22 applies to the other double slits, making it 5.22.

Now we put that in the equation of [tex]b=\sqrt{c^2-a^2}[/tex]

[tex]b = \sqrt{19.11^2+5.22^2}[/tex]

[tex]b = \sqrt{365.1921-27.2484}[/tex]

[tex]b = \sqrt{337.9437}[/tex]

[tex]b = 18.3832450889[/tex]

Rounded

v = 18.38

Did I earn my crown?

Give the other guy brainliest

find the missing dimension of the cylinder. round your answer to the nearest whole number

Answers

Answer:

11 meters

Step-by-step explanation:

Use the formula:

[tex]V = \pi r^{2} h[/tex]

V = 7599, h = 20, π = 3.14

Plugin the numbers and solve for r

[tex]7599=3.14(20)r^{2} \\7599=62.8r^{2} \\7599/62.5=62.8r^{2} /62.8\\121=r^{2} \\\sqrt{121}=\sqrt{r^{2} } \\r=11[/tex]

The variables x and y vary directly. Use the values to find the constant of proportionality, k. Then write an equation that relates x and y. Write any fractions in simplest form.

y=20; x=12

Answers

Answer:

k=1.66666666667

3:5 or y+9-x=17

Step-by-step explanation:

idrk, this SHOULD be the correct answer

Please help! 20 points thanks :)

Answers

Answer:

A) This line is a negative slope.

Step-by-step explanation:

It is a negative slope because the y value goes down as the x value increases.

Have a great day!

Please mark brainliest and rate!

A es mayor que B,C es menor que D,E es menor que C,y B es mayor que D

Answers

Answer:

Qué es la pregunta

La opción correcta es el menor de todos es E. opción C

Veamos partes por partes lo que tenemos:

1. A es mayor que B: entonces se escribe A > B

2. C es menor que D: entonces se escribe C < D

3. E es menor que C: entonces se escribe E < C

4. B es mayor que D: entonces se escribe B > D

5. Unimos 1 y 2: A > B  > D

6. Unimos 5 y 2: A > B  > D > C

7. Unimos 6 y 3: A > B  > D > C > E

B es el menor de todos: falso, D, C, E son menores que B, D es el menor de todos falso, C y E son menores que D, E es el menor de todos verdadero, D es menor que C falso D es mayor que C.

3x – 4y = 10
2x - 4y = 6
If (x, y) satisfies the system of equations above, what is the value of y?

Answers

Answer:

[tex]y=\frac{1}{2}[/tex]

Step-by-step explanation:

We can solve this system using elimination.

In this case, we can eliminate y by subtracting both equations...

[tex]3x-2x-4y-(-4y)=10-6\\x-4y+4y=10-6\\x=4[/tex]

Then, substitute 4 for x to solve for y...

[tex]3x-4y=10\\3(4)-4y=10\\12-4y=10\\\text{Subtract 12 from both sides}\\-4y=-2\\\text{Divide both sides by -4}\\y=\frac{1}{2}[/tex]

Answer:

y=1/2

Step-by-step explanation:

3x-4y=10..............{1]

2x-4y=6................(2)

subtract equa(2) from equa(1)

x=4

substitute x=4 into equa(1)

3(4)-4y=10

12-4y=10

-4y=10-12

-4y=-2

y=1/2

time : 6:30 elaspsed time : 2 h 18 min end time: ?

Answers

Answer:

8:48

Step-by-step explanation:

Start with 6. You add 2 hours. Your hour is 8.

You have 30 minutes. Add 18 minutes. You have 30 plus 18 which equals 48. You put the hour which is 8 and the minutes which is 48.

A cone with a radius of 6 cm and a height of 8 cm has the same volume as a cylinder with a height of 6 cm. What is the radius of the cylinder?.

Answers

Answer:

6cm+6cm=12

8+8=16

Step-by-step explanation:

a cone is shorter /smaller then a cylinder .

a cone =6cm

a cylinder =12cm

What is the solution to the system of equations?

Answers

Answer:

C

Step-by-step explanation:

Replace the X and Y coordinates with the numbers and find the outcomes.

Good luck with the quiz!!!

TRAP​ ~ EZYD. Use the diagram on the right to find the scale factor of TRAP to EZYD. Show work.

Answers

The scale factor of TRAP to EZYD is 1.25.

What is dilation

Dilation is the increase or decrease in the size of a figure by a scale factor of k. If k > 1 it is an increase and if k < 1, it is a decrease.

To find the scale factor of TRAP to EZYD:

Scale factor = ZE / TR = 15 / 12 = 1.25

The scale factor of TRAP to EZYD is 1.25.

Find out more on dilation on: https://brainly.com/question/10253650

What is the answer to 7 or 8???

Answers

Answer:

7. parallel:  k = 3

   perpendicular:  k = -4/3

8. $1300

Step-by-step explanation:

7.

Rewrite each equation as the slope-intercept form of a linear equation:

y = mx + b (where m is the slope and b is the y-intercept)

  8y = 12x + 6

⇒ [tex]y=\dfrac32x+\dfrac34[/tex]

   4y = k(2x + 10)

⇒ 4y = 2kx + 10k

⇒ [tex]y = \dfrac12kx + \dfrac52k[/tex]

If the graphs are parallel their slopes will be the same.

[tex]\implies \dfrac32=\dfrac12k[/tex]

[tex]\implies k=3[/tex]

If the graphs are perpendicular then the product of their slopes will be -1.

[tex]\implies \dfrac32 \times \dfrac12k=-1[/tex]

[tex]\implies \dfrac12k=-\dfrac23[/tex]

[tex]\implies k=-\dfrac43[/tex]

8. Create a linear equation, where x is the number of coffee mugs and y is the total cost (in dollars).

Choose 2 ordered pairs from the table:  (10, 110) and (20, 195)

Let [tex](x_1,y_1)[/tex] = (10, 110)

Let [tex](x_2,y_2)[/tex] = (20, 195)

Use the slope formula to find the slope m:

[tex]\implies m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{195-110}{20-10}=\dfrac{17}{2}[/tex]

Now use the point-slope form of linear equation:

[tex]\implies y-y_1=m(x-x_1)[/tex]

[tex]\implies y-110=\dfrac{17}{2}(x-10)[/tex]

[tex]\implies y=\dfrac{17}{2}x+25[/tex]

Substitute x = 150 into the equation and solve for y:

[tex]\implies y=\dfrac{17}{2}(150)+25=1300[/tex]

Therefore, the total cost of ordereing 150 mugs is $1300

My number is the smallest possible number that can be rounded to the nearest 10 to become 650

Answers

Answer: 645

Step-by-step explanation: 645 rounded to the nearest 10 is 650. Anything below 645 doesn't round to 650. With the five in the ones place, 645 is the smallest possible number that can be rounded to 650.

What is X if X + R = S? Given R and S

Answers

Answer:

X = S-R

Step-by-step explanation:

I don't really know what it means, maybe what makes sense is X = S-R?

Answer:

X = S-R

Step-by-step explanation:

We need to change the equation so that it shows X = .....

Thus, we move R to the opposite side of the equation, and we get...

X = S-R

(Since Positive R becomes negative after swapping sides)

Find the sin of Write your answer as an integer or a decimal rounded to the nearest hundredth.

Answers

Answer:

[tex]sin(G)=0.91[/tex]

Step-by-step explanation:

Recall that [tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex] with respect to the angle [tex]\theta[/tex] for a right triangle. Since we are given our hypotenuse of [tex]\sqrt{85}[/tex] and our adjacent side of [tex]\sqrt{15}[/tex], we can use the Pythagorean Theorem to solve for the missing opposite side:

[tex]a^2+b^2=c^2\\\\(opposite)^2+(adjacent)^2=(hypotenuse)^2\\\\(opposite)^2+(\sqrt{15})^2=(\sqrt{85})^2\\\\(opposite)^2+15=85\\\\(opposite)^2=70\\\\opposite=\sqrt{70}[/tex]

Thus, [tex]sin(G)=\frac{\sqrt{70}}{\sqrt{85}}\approx0.91[/tex]

Using Pythagorean theorem FH is equal to √70(radical) therefore sine of G would be equal to sin^-1(√70/√85)=65.16010754 rounded to the hundredths place is 65.16

Explain how you would find 36x 3/4 mentally

Answers

Answer:

Easy The easiest way Is to Find out what 36X3 is off the top of my head it is 108. Finally Break apart 108 into 100 and 8. since the fraction is 108;4 you need to find out how many times 4 goes into 100. which is easy 25. now what is 8 /4 answer is 2, Ad them together to get the answer is 27. This is probably the easiest method if it ends in a whole number

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

First split the equation.

=> 36 x 3/4

=> 36 x 1/4 x 3

We know 36/4 = 9

=> 9 x 3

=> 27

Share 1400 in the ratio 7:3

Answers

7+3= 10

Let's take 1,400 is to be seperated between A and B

Amount of money A will get = 1400* 7/10= 980

Amount of money B will get = 1400* 3/10= 420

Checking the answer:

980+420 = 1,400

Hence, 1,400 will be shared by ratio 7:3 is 980 and 420.

Correct me, if I am wrong :)

Have a great day!

Thanks!

Ahmed sells fruits in his shop. One morning, he got 3 boxes of oranges from 3 different
suppliers.

The label on the box he received from the first supplier says that it contains 60 oranges
with a total weight of 5400 g.

The label on the box he received from the second supplier says that it contains 20 oranges, and has a mean weight of 105 g for one orange.

Ahmed put all the oranges from the two boxes in one big container.

Find the mean weight of an orange in the big container.


When he received the box from the third supplier, he put all the oranges in the same big container. Therefore, the mean weight of an orange in the big container became 92.5.

Given that the label in the third box shows that the total weight is 3600 g, find the number of oranges in the third box.

Answers

Answer:

[tex]answer \\ yx)x \frac{( \frac{x - }{?} \times \frac{?}{?} }{?} \times \frac{?}{?} [/tex]

ʜᴏᴘᴇ ɪᴛ ʜᴇʟᴘs

Factor completely 9x2 42x 49. (3x 7)(3x − 7) (9x − 7)(9x − 7) (3x 7)(3x 7) (9x 7)(9x 7).

Answers

Factors of the given expression by splitting middle term of expression[tex]9x^2+42x+49[/tex] will be [tex](3x+7) and (3x+7)[/tex].

Given expression is

[tex]9x^2+42x+49[/tex]

What is a factor?

A factor is a number that divides another number leaving no remainder

After we split 42x into 21x each,

The expression looks like,

[tex]9x^2+21x+21x+49[/tex]

[tex]3x(3x+7)+7(3x+7)\\[/tex]

Taking 3x+7 as common

[tex](3x+7) (3x+7)[/tex]

So factors will be (3x+7) and (3x+7).

Therefore,

Factors of the given expression [tex]9x^2+42x+49[/tex] will be [tex](3x+7) and (3x+7)[/tex].

to get more about factors refer to:

https://brainly.com/question/25829061

what is 1875÷ 125 (show ur work long divison) :))

Answers

Answer:

[tex]\mathrm{The\:solution\:for\:Long\:Division\:of}\:\frac{1875}{125}\:\mathrm{is}\:15[/tex]

Step-by-step explanation:

[tex]\begin{matrix}\:\:\:\:\:\:\:\:\:\:\:\:\emptyspace1\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ 125\overline{|\smallspace1875}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\underline{\emptyspace1\emptyspace2\emptyspace5}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace6\emptyspace2\emptyspace5\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

[tex]\begin{matrix}\:\:\:\:\:\:\:\:\:\:\:\:\emptyspace1\emptyspace5\:\:\:\:\:\:\:\:\:\:\:\:\\ 125\overline{|\smallspace1875}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\underline{\emptyspace1\emptyspace2\emptyspace5}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace6\emptyspace2\emptyspace5\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\underline{\emptyspace6\emptyspace2\emptyspace5}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\:\:\:\:\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

=[tex]15[/tex]

[tex]\mathrm{The\:solution\:for\:Long\:Division\:of}\:\frac{1875}{125}\:\mathrm{is}\:15[/tex]

help me. please I need help

Answers

i need help to please asap please help me

The cost of movie tickets at Central Cinema just changed. The old price and the new price are shown for adults and children. How much more does it cost for tickets for 2 adults and 3 children at the new prices then at the old prices?

Answers

Answer:

can u give the prices for the tickets?

An adult ticket costs $2 more than a child ticket

Let x and (x + $2)represent the cost of the child and adult ticket respectively

2(x+ $2) + 3x = $34

now solving for x

2x+ $4 + 3x = $34

5x = $30

 x = $6 , the cost of the child ticket.

the cost of adult ticket $6+2=$8

Step-by-step explanation:

help me to solve thisssss​

Answers

Answer:

(a + 3)

Step-by-step explanation:

a³ - 9a = a(a² - 9) = a(a + 3)(a - 3)

a² + a - 6 = (a - 2)(a + 3)

a⁴ + 27a = a(a³ + 27) = a(a - 3)(a² + 6a + 9) = a(a - 3)(a + 3)(a + 3)

HCF = (a + 3)

Hope it helps.

;)

<3


What fraction lies exactly halfway between
1/2 and 2/3

Answers

Answer:

[tex]\dfrac{7}{12}[/tex]

Step-by-step explanation:

Method 1

convert the fractions so that their denominators are 12:

[tex]\dfrac12=\dfrac{1 \times 6}{2 \times 6}=\dfrac{6}{12}[/tex]

[tex]\dfrac23=\dfrac{2\times4}{3\times4}=\dfrac{8}{12}[/tex]

From inspection, we can determine that the fraction that lies exactly halfway between [tex]\dfrac{6}{12}[/tex] and [tex]\dfrac{8}{12}[/tex] is [tex]\dfrac{7}{12}[/tex]

Method 2

Find the difference between the fractions and divide by 2:

[tex]\dfrac{\dfrac23-\dfrac12}{2}=\dfrac{1}{12}[/tex]

Add this to the smallest fraction (1/2):

[tex]\dfrac12+\dfrac{1}{12}=\dfrac{7}{12}[/tex]

The cafeteria staff prepared 60 pounds of lasagna. From the lasagna prepared, 80% was sold and 20% was donated to the local fire department for lunch. How much lasagna was donated?

Answers

Answer:

12 lbs

Step-by-step explanation:

When finding a percentage you move the decimal point of the percentage to the left twice.

Find the amount that was donated,

60 x 0.2 = 12

So 12 lbs were donated

You can also do it this way:

First we find the amount that was sold,

60 x .80 = 48

Then subtract 48 from the total of 60 to find the left over,

60 - 48 = 12

Which graph represents the function? f(x)=x(x+2)

Answers

Answer:

D

Step-by-step explanation:

The one that goes through (-2,0), (-1,-1) and (0,0)

19 points!!!!! Tyrone wants to know how much wrapping papers is needed to cover a box with the dimensions shown

Answers

Answer:

B. 54 square inches

Step-by-step explanation:

Surface Area

= 2(lb + bh + lh)

= 2(6 x 3 + 3 x 1 + 6 x 1)

= 2(18 + 3 + 6)

= 2(27)

= 54 square inches

The correct option is (B).

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