Two friends each had an auto loan of $20,000. One was repaid at
8% in 3 years at about $625 per month, and the other at 8% in 5
Years at about $405 per month. The total of the payments for the 5-year loan is how much more than the total for the 3-year loan?

Answers

Answer 1

Answer:

1,800 more

Step-by-step explanation:

12 × 3 = 36 months

$625 × 36 = $22,500

12 × 5 = 60 months

$405 × 60 = $24,300

$24,300 - $22,500 = $1,800

the interest is paid per month, so we first need to convert the years to months. after that we calculate the total amount of money paid over the specified years. and then we subtract the one from the other to get the difference.


Related Questions

A train left a station at noon going at 40 mph. A second train left at 3 pm going in thte same direction at 6o mph. At what time iwll the second train catch up with the first

Answers

Answer:

9PM

Step-by-step explanation:

3pm - 40x3=120 Miles Travelled (Noon Train)

3pm - 60x0=0 Miles Travelled (3pm Train)

4pm - 40x4=160 Miles Travelled (Noon Train)

4pm - 60x1=60 Miles Travelled (3pm Train)

5pm - 40x5=200 Miles Travelled (Noon Train)

5pm - 60x2=120 Miles Travelled (3pm Train)

6pm - 40x6=240 Miles Travelled (Noon Train)

6pm - 60x3=180 Miles Travelled (3pm Train)

7pm - 40x7= 280 Miles Travelled (Noon Train)

7pm - 60x4=240 Miles Travelled (3pm Train)

8pm - 40x8 = 320 Miles Travelled (Noon Train)

8pm - 60x5=300 Miles Travelled (3pm Train)

9pm - 40x9 = 360 Miles Travelled (Noon Train)

9pm - 60x6= 360 Miles Travelled (3pm Train)

does anyone know the width the length the height of this tissue box pls someone tell me Asap.

Answers

Answer:

Hey!

Well based on my knowledge it usually says that on the tissue box itself.... (in fine print)

i may be wrong.... but do check...

What is area of the figure?

Answers

Answer:

88

Step-by-step explanation:

HURRY UP 10 MIN LEFT (100 points)!!!!!!!!!!!
Which of the following words is not a translation for "=?"
equals
similar
is
equal to

Answers

Answer:

similar

Step-by-step explanation:

Answer:

Similar

Step-by-step explanation:

For similarity or congruence we use ~ symbol not equal to

Is equal to also denote to =Equals is generally=

The volume of Earth is approximately 1 x 10^12 cubic kilometers. The volume of Mercury is approximately 6 x 10^10 cubic kilometers. About how many times bigger is Earth’s volume than Mercury’s?

Answers

Answer:

Volume of the Earth is about 16.67 times bigger than Mercury's volume.

Step-by-step explanation:

Given:

[tex]V_E = 1 \times 10^{12} \text{ km}^3\\V_M = 6 \times 10^{10} \text{ km}^3[/tex]
[tex]V_E[/tex] is the volume of the Earth and [tex]V_M[/tex] is the volume of the Mercury.

Divide volume of the Earth with the volume of Mercury.

[tex]\frac{V_E}{V_M} = \frac{1 \times 10^{12} \text{ km}^3}{6 \times 10^{10} \text{ km}^3} = \frac{1 \times 10^{2}}{6} = \frac{100}{6} = \frac{50}{3} \approx 16.67[/tex]

Volume of the Earth is about 16.67 times bigger than Mercury's volume.

[tex]\huge\color{yellow}\underline \colorbox{violet} {\color{red}{QUESTION}}[/tex]

Direction:Find the volume of each solid figure below.


correct answer=brainles
nice answer=rate 5 star
explanation=heart

incorrect=report
no explanation=report

Answers

Explanation:

Volume of rectangular prism: Length * Width * Height

Solve:

1)

Volume: 9 * 9 * 9 = 9³ = 729 cm³

2)

Volume: 7 * 3 * 2 = 42 m³

3)

Volume: 7 * 7 * 7 = 7³ = 343 cm³

A state tourist guide provides information on summer vacation towns. Some of the towns and related information are
given in the table below.
Average
Number
Town
Beach
Access?
Temp
(°F)
Location
of Hotels
Spring Haven
73.2
12
yes
West

Answers

Based on the information given in the table, the discrete quantitative variable would be the number of hotels.

What is a discrete quantitative variable?

This refers to a variable in a distribution that can only take on a specific value that is countable.

This means that the number does not go on forever. Examples of these are the number of fingers and toes you have.

The discrete quantitative variable from the options would therefore be the number of hotels that there are.

________________________________________________________

The rest of the question is:

Which of the variables is a discrete quantitative variable?

A:average temperature

B:number of hotels

C:beach access

D:location

________________________________________________________

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What percentage of the large circle does the small circle take up?

Please please help

Answers

Answer:

25 percent.

Step-by-step explanation:

To begin we want to find the area of the small circle. That would be pi(r)^2 or 9pi after plugging in the 3 for the radius. We can only assume that the large circle is double the radius of the smaller circle so it would be 6. Plug 6 in and get 36pi for the area of that circle. 9pi/36pi will equal 0.25 and that will be your percentage. I hope this helped.

I swear this always stress me out can someone help me

Answers

The approximate perimeter of the given shape is; 33.70cm.

What is the approximate perimeter of the shape?

It follows Fromm the task content that the perimeter of the shape can be determined by determining the length of the curved surface and the the other three outer surfaces as follows;

Curves surface = 3.14 × (10/2) = 15.70cm

The perimeter of thee other three sides is; 4 + 4 + 10 = 18cm

The perimeter of the shape is therefore; 18 + 15.70 = 33.70cm.

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Please help, it’s due tomorrow

Answers

Answer:

The largest interger that satisfies the equation is 3

Step-by-step explanation:

If we subtract 10 from each side, we get 7x<=21

Then, we divide 7 on each side to get x<=3.

So the largest interger to satisfy the equation is 3

(Btw, <= means less than or equal to)

Hope this helped you, and have a great day!

Answer:

x<=3

Step-by-step explanation:

minus 10 fom both sides

7x + 10-10<=31-10

restate as

7x<=21

divid both side by same factor

7x/7 and 21/7

restate as

x<=3

can someone explain the proses of solving this? I don't need the answer but a step-by-step explanation would be super helpful!

Answers

Part 1

Focus on triangle ABC.

Since AB is a diameter of the circle, this means angle ACB is 90 degrees. Refer to Thale's Theorem. Or you could use the inscribed angle theorem. Thale's theorem is a special case of the inscribed angle theorem.

Minor arc CB is 48 degrees. Use the inscribed angle theorem to see that angle CAB is 48/2 = 24 degrees.

Therefore, angle CBA = 90 - (angle CAB) = 90 - 24 = 66 degrees

Answer: 66

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

Part 2

Inscribed angle CBA was found to be 66 degrees back in part 1.

This doubles to 132 degrees to represent minor arc AC.

Or you could note that:

minor arc AC = 180 - (minor arc CB) = 180 - 48 = 132

Inscribed angle BCD is 48 degrees. This doubles to 96 degrees when using the inscribed angle theorem, and this is the measure of minor arc CBD.

-----------

Here's what we know about the arc measures of the circle

minor arc AC = 132 degreesminor arc CB = 48 degreesminor arc BD = 96 degrees

These three arcs, along with minor arc AD, will add up to get a full 360 degree circle. Check out the diagram below.

Adding those 3 pieces gets us 132+48+96 = 276

This means minor arc AD has to be 360 - 276 = 84 degrees

Then use the inscribed angle theorem one more time to divide the minor arc AD in half to get the inscribed angle ACD

84/2 = 42

Answer:  42

The distribution of the number of words in text messages between employees at a large company is skewed right with a mean of 8.6 words and a standard deviation of 4.3 words. If a random sample of 39 messages is selected, what is the probability the sample mean is more than 10 words?

0.0210
0.2454
0.3724
0.9790

Answers

Using the normal distribution and the central limit theorem, the probability the sample mean is more than 10 words is of 0.0210.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

In this problem, the parameters are given as follows:

[tex]\mu = 8.6, \sigma = 4.3, n = 39, s = \frac{4.3}{\sqrt{39}} = 0.6885[/tex]

The probability that the sample mean is more than 10 words is one subtracted by the p-value of Z when X = 10, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{10 - 8.6}{0.6885}[/tex]

Z = 2.03.

Z = 2.03 has a p-value of 0.979.

1 - 0.979 = 0.021.

The probability the sample mean is more than 10 words is of 0.0210.

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A bag contains 5 black marbles, 7 blue marbles, 3 green marbles, 4 red marbles, and 1 white marble. A marble is selected and then replaced. What is the probability of selecting a black marble?

Answers

Answer:

1/4

Step-by-step explanation:

5 black marbles out of  20 total    is    5 /20 = 1/4

find the mid point of the line segment.

Answers

can you upload a less blury picture

Answer:

  (-3/2, 0)

Step-by-step explanation:

The midpoint of a line segment is the average of the end point coordinates.

  M = (A +B)/2

__

For end points A(-5, 5) and B(2, -5), the midpoint is ...

  ((-5, 5) +(2, -5))/2 = (-5+2, 5-5)/2 = (-3, 0)/2 = (-3/2, 0)

The midpoint of the segment is (-3/2, 0).

Math hw 2


Probability Distributions




pls help me with my homework!!


thanks,

Answers

In the given question, to approach this, we should have a little understanding of what is a random variable. The random variable here is the distance travelled by the tee shots in a golf.

What is a Random Variable?

A random variable is a numerical description of the outcome of a statistical experiment. A random variable that may assume only a finite number or an infinite sequence of values is said to be discrete; one that may assume any value in some interval on the real number line is said to be continuous.

We are given two scenarios in which we are to identify the random variable here.

The number of hits for the players of a baseball teamThe distance travelled by the tee shots in a golf

In the above scenarios, the random variable here is the distance travelled by the tee shots in a golf. The reason is that we can never give an exact value the distance and would lead to an assumption of a finite number of value or an infinite sequence of values to determine this.

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Fatima wants to find the value of sine theta, given cotangent theta = four-sevenths. which identity would be best for fatima to use?

Answers

By using trigonometric relations, we will find that:

sin(θ) = (√33)/7 = √(33/49)

How to find the value of the sine?

Remember that for a right triangle, we have the relations:

cos(a) = (adjacent cathetus)/(hypotenuse)

sin(a) = (opposite cathetus)/(hypotenuse).

Here we know that:

cos(θ) = 4/7

Then we can say that we have a triangle with an adjacent cathetus of 4 units and a hypotenuse of 7 units. Now we need to find the other cathetus.

opposite cathetus = √(7^2 - 4^2) = √33

Then we can write:

sin(θ) = (√33)/7 = √(33/49)

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Answer:

The answer is D.

Step-by-step explanation:

Edge 2022

help I don't know what to put on it

Answers

Answer:

377.2 cm³

Step-by-step explanation:

Applied Formula :

Volume (cylinder) = πr²h

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

Given :

⇒ r = 3.1 cm

⇒ h = 12.5 cm

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

Solving :

⇒ V = 3.14 x 3.1 x 3.1 x 12.5

⇒ V = 9.734 x 38.75

⇒ V = 377.2 cm³ (nearest tenth)

Volume

V=πr²h

π(3.1)²(12.5)3.14(3.1)²(12.5)377.2cm³

Done!

please how do i do this?

Answers

Answer:

4

Step-by-step explanation:

The figure can be split into 2 triangles, the larger one is the whole figure with base 18 and height 9. while the other small triangle has base 8 and height h. Since they are both right angled triangles with a shared angle, they are similar.

With similar triangles, we get the ratio of base : height = 8 : 8+10 = h : 9

Hence, 8 : 18 can be simplified to 4 : 9, which is also equal to h : 9. From here, we get h = 4.

Answer:

4

Step-by-step explanation:

The figure can be split into 2 triangles, the larger one is the whole figure with base 18 and height 9. while the other small triangle has base 8 and height h. Since they are both right angled triangles with a shared angle, they are similar.

How much money will you have in 8 years if you invest $4000 at 2% compounded quarterly

Answers

Answer:

If you invest $4000 at 2% compounded quarterly you will make 4,694$.

Step-by-step explanation:

Answer:

$4686.64

Step-by-step explanation:

here is the function 4000(1+0.02)^8

Please help with my math!!!!!

Answers

By applying the point-slope formula, the linear function y = -x/3 - 4 has a slope of - 1/3 and passes through the point (-3, -3) seen on Cartesian plane.

How to determine the line equation by knowing its slope and a point

According to analytical geometry, we could know the equation of the line by means of the point-slope equation:

y - y₁ = m · (x - x₁)     (1)

Where:

x - Independent variabley - Dependent variable(x₁, y₁) - Known pointm - Slope

If we know that m = -1/3 and (x₁, y₁) = (-3, -3), then the line equation is:

y + 3 = -(1/3) · (x + 3)

y + 3 = -x/3 -1

y = -x/3 - 4

Lastly we proceed to graph the function by a graphing tool (i. e. Desmos).

By applying the point-slope formula, the linear function y = -x/3 - 4 has a slope of - 1/3 and passes through the point (-3, -3) seen on Cartesian plane.

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Which graph has a slope of 1/3?

Answers

Answer: the one on the bottom left

Step-by-step explanation:

it’s 1.3
explanation: i’m not too confident in this answer but i got 1/3 = 1.3

A store has clearance items that have been marked down by 50%. they are having a sale, advertising an additional 30% off clearance items. what percent of the original price do you end up paying

Answers

Answer:

20%

Step-by-step explanation:

50+30=80

100-80=20

so you would pay 20%

The diagonal of the rectangle is 10 inches long and the height of the rectangle is 8 inches. What is the perimeter of the rectangle in the inches?

Answers

Basic perimeter is really easy to understand;

Step-by-step explanation:

10 x 8 = 80 in.

80 in. is your answer! Please mark brainliest and have a great day! :D

I need help with all of these questions you see on the top. there the red squares. please someone smart. this is one of the problems I need to finish this tonight.​

Answers

Answer:

490.1 in^3

Step-by-step explanation:

In order to find the volume of a cylinder, you would multiply the area of the base b the height, so a cylinder with base [tex]26 \pi in^{2}[/tex] and height 6 in would be [tex]26\pi \times 6[/tex]

This multiplies to 490.08845396 when put in a calculator, and rounded to the nearest tenth, the answer is 490.1 in^3

please answer asap! 20 points!!
A new car is purchased for 23,900 dollars. The value of the car depreciates at a rate of 6.4% per year. Which equation represents the value of the car after 4 years?

1) V= 23,900(0.936)(0.936)(0.936)(0.936)
2) V=23,900(1+0.064)⁴
3) V= 23,900(1−0.064)(1−0.064)
4) V= 23,900(0.064)⁴

Answers

Answer:

  1) V= 23,900(0.936)(0.936)(0.936)(0.936)

Step-by-step explanation:

Each year, the car depreciates to 1 -0.064 = 0.936 of its previous value. After 4 years, the original value has been multiplied by this factor 4 times:

__

  depreciated value = 23,900(0.936)(0.936)(0.936)(0.936)

_____

This could be represented by ...

  V = 23,900(1 -0.064)⁴ . . . . . . not an answer choice

What is sum of the geometric series?

Answers

Answer:

Sn=a1(1−rn)1−r,r≠1 C.

In a poll of Mr. Briggs’s math class, 67% of the students say that math is their favorite academic subject. The editor of the school paper is in the class, and he wants to write an article for the paper saying that math is the most popular subject at the school. Explain why this is not a valid conclusion and suggest a way to gather better data to determine what subject is most popular.

Answers

This is not a valid conclusion because the data was not randomly collected from various classes in the school but from a particular class.

Collection of data for a research work

The collection of data for a research work should be done in such a way as to include a good number of the test subjects.

The sampling methods that can be used to gather better data include the following:

Random sampling,

Cluster sampling, and

Systematic sampling methods.

These methods will ensure that a good number of the test subjects are included in the research work in order to form a valid conclusion.

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Use the graph to find the cost of 6 show tickets.
Cost of Show Tickets
110
100
90
80
70
60
50
40
30
20
10
0
1 2 3 4 5 6 7 8 9 10 11
Number of tickets
A. The cost of 6 show tickets is $50.
B. The cost of 6 show tickets is $5.
O C. The cost of 6 show tickets is $30.
O D. The cost of 6 show tickets is $6.
Cost ($)

Answers

C. The cost of 6 show tickets is $30.

bottom of graph represents number of tickets, look for 6 then go up till you hit the dot now go to the other side of the graph ( costs) and see which number the line hit which is 30

Six show tickets would cost $30

Simplify
[tex]\sqrt{25-10\sqrt{3} +3}[/tex]

Answers

Answer:

The given equation is expansion of (a-b)²= a²-2ab+b²

[tex]\sqrt{25-10\sqrt{3} +3} \\ \sqrt{ {(5 - \sqrt{3})}^{2} } \\ (5 - \sqrt{3})[/tex]

Please Help!! DUE SOON!! I'LL MARk BRAInLiEAST!! HIGH POintS!!

Answers

Answer:

Step-by-step explanation:

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