1. Kristina took out a bank loan for $60,000 that must be repaid with regular monthly payments of $1100. The bank charges her an interest rate of 3.0% compounded monthly a) How many payments will Kristina have to make to pay off the loan. N=? I= ?PV = ?PMT= ? FV=? P/Y = ?C/Y =? END BEGIN b) How much interest will Kristina Pay? ​

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

Given:

Loan amount PV = $60000Interest rate r = 3% PATime t = x yearsNumber of compounds n = 12Monthly payment PMT = $1100

FV is:

60000*(1 + (3/100)/12)^(12x) = 60000*(1.0025)^(12x)

Which is same as total payment:

1100*12*x

Solve the following by graphing:

60000*(1.0025)^(12x) = 1100*12*x

See attached

The solution is:

x = 5.333 = 5 1/3 years = 5 years 4 months = 64 months

Total payment:

FV = $70 395.95

The amount of interest:

I = FV - PV = 70395.95 - 60000 = $10395.95

1. Kristina Took Out A Bank Loan For $60,000 That Must Be Repaid With Regular Monthly Payments Of $1100.

Related Questions

Pls help i have to turn this in tomorrow!!! I’m not sure if i did this right, if not pls tell me how to do <3

Answers

Answer:

13

Step-by-step explanation:

Sorry no one answered in time, but you had it correct up to 26/2. 26/2 is correct (26 minutes for 2 people) but you need for 1 person so you divide by 2 to get 13 minutes per 1 person.

The corner store sells pairs at a rate of $2.50 for per pair if Fiona has $15 how many pairs can if you fiona buy?

Answers

Answer: Fiona can buy six pairs.

15/2.5 = 6

Answer:

Fiona can buy 6 pairs

Step-by-step explanation:

2.50x 6

What is the answer?
To this question

Answers

Answer:

y = 3.2

Step-by-step explanation:

8/y = 10/4

10y = 32

y = 32 / 10

y = 3.2

This is due tonight please tell me the answer If correct will get brainlest thing

Answers

Answer:

5⁵ is your answer bro mark me brainlist

Help Me On These 3 Please

Answers

Answer:

see explanation

Step-by-step explanation:

(1)

Using the sine ratio in the right triangle

sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4}{6}[/tex] , then

x = [tex]sin^{-1}[/tex] ([tex]\frac{4}{6}[/tex] ) ≈ 41.8° ( to the nearest tenth )

(2)

Using the tangent ratio in the right triangle

tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{29}{14}[/tex] , then

x = [tex]tan^{-1}[/tex] ([tex]\frac{29}{14}[/tex] ) ≈ 64.2° ( to the nearest tenth )

(3)

Using the cosine ratio in the right triangle

cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{25}{40}[/tex] , then

x = [tex]cos^{-1}[/tex] ([tex]\frac{25}{40}[/tex] ) ≈ 51.3° ( to the nearest tenth )

A curve is represented by x = 3sec θ, y = 3tan θ where 0 < θ < /2.
Which of the following is the y intercept of the tangent to the curve at (2√3, √3)?

Answers

Applying derivative concepts, the y-intercept of the line tangent to the curve at (2√3, √3) is: [tex]y = \sqrt{3}[/tex]

The equation of the line is:

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

In which:

There is a point [tex](x_1, y_1)[/tex].The slope is [tex]m = \frac{\frac{dy}{d\theta}}{\frac{dx}{d\theta}}[/tex]

In this problem, point [tex](2\sqrt{3}, \sqrt{3})[/tex], hence [tex]x_1 = 2\sqrt{3}, y_1 = \sqrt{3}[/tex]

To find the value of [tex]\theta[/tex], we have that:

[tex]3\tan{\theta} = \sqrt{3}[/tex]

[tex]\tan{\theta} = \frac{\sqrt{3}}{3}[/tex]

[tex]\theta = \frac{\pi}{6}[/tex]

Then, for the slope:

[tex]\frac{dy}{d\theta} = 3\sec^{2}{\theta}[/tex]

[tex]\frac{dx}{d\theta} = 3\sec{\theta}\tan{\theta}[/tex]

Considering [tex]\theta = \frac{\pi}{6}[/tex]:

[tex]\frac{dy}{d\theta} = 3\left(\frac{2}{\sqrt{3}}\right)^2 = 2[/tex]

[tex]\frac{dx}{d\theta} = 3\left(\frac{2}{\sqrt{3}} \times \frac{\sqrt{3}}{3}\right) = 2[/tex]

[tex]m = \frac{\frac{dy}{d\theta}}{\frac{dx}{d\theta}} = 1[/tex]

Then, the equation of the line is:

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

[tex]y - \sqrt{3} = x - 2\sqrt{3}[/tex]

[tex]y = x - \sqrt{3}[/tex]

The y-intercept is the value of y when x = 0, hence:

[tex]y = \sqrt{3}[/tex]

A similar problem is given at https://brainly.com/question/22426360

NEED HELP ASAP…………..

Answers

Answer:

It is the second answer.

Step-by-step explanation:

Can someone help me with this?

Answers

Answer:

Step-by-step explanation:

[tex]\frac{\sqrt{36x^3y^4}}{2x^{2/3}y^{-4}}=\frac{6x^{3/2}y^2}{2x^{2/3}y^{-4}}=3x^{5/6}y^6[/tex]

a=3, b=5/6, c=6

3*(5/6)*6= 15

3. Is the triangle a right triangle? Explain.
1.9
2.7
3.23

Answers

we have: [tex](3,23)^{2} \neq (1,9)^{2} +(2,7)^{2}[/tex]

so the triangle isn't a right triangle

ok done. Thank to me :>

How do I draw perpendicular line

Answers

Answer:

Follow these steps and you will find how to make a perpendicular line.

Step-by-step explanation:

Open the compass to a radius less than half the segment.

Draw two arcs intersecting the line on both sides of the point.

Draw two arcs using the intersection points as the centers. ...

Construct a line between this point and the original point.

Hope this helped :) -ish

The Culver City Carnival had a face-painting booth. There were 8 times as many kids as adults who had their faces painted. Pick the diagram that models the ratio in the story. If 56 kids had their faces painted, how many people had their faces painted altogether?

Answers

So I think the answer would be 7 adults and altogether it would be 63 people with their face painted but I’m not really sure… sorry if it’s wrong I think it’s right tho

A class has $140 for tickets to a science museum. The teacher writes $140÷10=14. Alma says that tickets are $14 each. Mohamed says that $14 students are going on the trip. Who is correct?

Answers

Alma was definitely correct to say that the tickets are $14 each.

The total amount in dollars the class have for tickets to the science museum

is $140.

The teacher writes as follows:

140 ÷ 10 = 14

Alma says the tickets are $14 each.

Mohammed says that 14 students are going for the trip

The teacher divided 140 by 10. This means the number of student in the class is 10 not 14 as Mohammed enunciated.

The teacher divided the total amount available for the ticket($140) by the number of student in the class(10). Then the quotient ($14) is the amount in dollars which each student will pay for the ticket to the science museum.

Therefore, Alma was definitely correct.

learn more about algebra here:  https://brainly.com/question/11455464?referrer=searchResults

How much money, in dollars, is available on his card after he takes 0
rides?

Answers

Answer:

However much he had on his card in the first place.

Step-by-step explanation:

Say he had $500 on his card. He took 0 rides ( no rides ) so he doesn't lose any money. Leaving him with his starting amount, $500.

i will make you brainliest

Answers

Answer:

The time in Auckland, New Zealand in the 12+ time zone: 21:00

The time in Athens, Greece in the +2 time zone:  22:00

The time in Trinidad in the -4 time zone:  05:00

The time and date in Chicago in the -6 time zone: 02:00 2016-10-19

The time and date Bangkok in the +7 time zone: 11:00 2016-10-20

The time and date in Greenwich: 06:00 2016-10-29

The time and date in Abu Dhabi in the +4 time zone: 30:00 2016-10-30

The time and date in a country in the +12 time zone: Uzbekistan 23:00 2016-11-02

The time and date in a country in the -12 time zone: Brazil 23:00 2016-11-01

The time and date in Honolulu located in the -10 time zone: 01:00 2016-11-02

When the time in Sri Lanka is 09:30 on 2017-05-02, find the time and date in Los Angeles located in the -8 time zone in the USA. 01:30 on 2017-05-02

(These are the answers i calculate i am not sure if they are fully correct)

Noice my guy (20 char limit)

Jay decides to take out a $12,000 student loan during his first year in college. If he is charged 4.5% interest that is compounded annually, how much will the total loan amount equal in four years when he graduates?

Answers

Answer:

2,160.00

Step-by-step explanation:

okay so first we have to find 4.5% of 12,000

which is 540, then multiply 540 by the four years and

540 x 4 = 2,160.00

The total loan amount would be equal to $14,310 in four years when Jay graduates.

Given the following data:

Principal = $12,000Interest rate = 4.5%Time = 4 years

To determine how much (future value) the total loan amount would equal in four years when he graduates:

Mathematically, compound interest is given by the formula:

[tex]A = P(1 + r)^{t}[/tex]

Where;

A is the future value.P is the principal or amount borrowed.r is annual interest rate.t is the number of years for the compound interest.

Substituting the given parameters into the formula, we have;

[tex]A = 12000(1 + 0.045)^{4}\\\\A=12000(1.045)^{4}\\\\A=12000(1.1925)[/tex]

Future value, A = $14,310

Read more: https://brainly.com/question/16992474

plesae urgent hurryy for brainlist !!!!!!!!!!!

Answers

C, or 5000(0.9)t is correct.

Multiplying by 0.1 would not make the car’s price go down by ten percent, but 90. Hence, C is correct.


Hope this helps!

165% of what number is 28

Answers

Answer:

i belive it is 46.2

Step-by-step explanation:

The closest whole number is 17 at 28.05

easy one for you folks. show work.
who ate more?​

Answers

What is the question

Answer:

regan ate more than maggie

Domain and Range of a linear function

Answers

Answer:

domain is the lenght of the road (in miles)

range is the number of days

Step-by-step explanation:

domain is the input because there building the road that is the input because the number of days is the output (range) because that is what happens from working on the roads (the input) what come out is the days they worked on the road

Find the slope of the line that passes through (-10, -52) and (56, -37).

Answers

15/66 I think you might be able to simplify

HELP ASAP PLEASEEE What is the equation of the line in the form y=mx+b

Answers

Answer:

y=x

Step-by-step explanation:

y=mx+b

m is the slope

b is the y-intercept

Since the y-intercept is at the 0 axis, the y-intercept will be zero

So now the equation is looks like this:

y=mx (Since y=mx+0 doesn't make a difference)

Now find the slope

Which is 1

Thus y=x

Hope this helps!

PLS help me 20 points in total

Answers

Answer:

-3.5 is the answer

I mean, I think this is referring to positive and negatives which if it is, it would be -3.5 .

Find the inverse of f(x) = 1/2x + 3

Answers

The equation we have right now is basically y = 1/2x + 3. We can switch the x and y variables. Our new equation is: x = 1/2y + 3. Next, we solve for y.

Firstly, we subtract 3 from both sides. This gives us x - 3 = 1/2y. Next, we multiply both sides by 2 to isolate y. This gives us 2(x - 3) = 1/2y. Then, we have 2x - 6 = y.

The answer is f(x) = 2x - 6

An ant can travel at a constant speed of 980 inches every 5 minutes. At this rate, how far can the ant travel in 7 minutes? *
1 point

Answers

Answer: 1,372
Reasoning:
980 divided by 5 = 196
196 times 7 = 1,372

You are running a fuel economy study. One of the cars you find is blue. It can travel 44 1/2miles on 1 and 1/4 gallons of gasoline. Another car is red. It can travel 27 1/5 miles on 4/5 gallon of gasoline. What is the unit rate for miles per gallon for each car? Which car could travel the greater distance on 1 gallon of gasoline?

Answers

Answer:

Blue car

Step-by-step explanation:

Find the miles per gallon rate of each car

Blue car:

44 1/2 ÷ 1 1/4 = 89/2 ÷ 5/4 = 89/2 × 4/5 = 356 / 10 = 35.6 miles per gallon

Red car:

27 1/5 ÷ 4/5 = 136/5 × 5/4 = 136/4 = 34 miles per gallon

According the rates, the blue car could travel the greater distance

If x is not equal to zero, what is the value of [tex]\frac{4(3x)^2}{(2x)^2}[/tex]

Answers

Answer:

[tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = 9 ,\ x \neq 0[/tex]

General Formulas and Concepts:

Pre-Algebra

Evaluations

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Distributive Property

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

[tex]\displaystyle \frac{4(3x)^2}{(2x)^2}[/tex]

Step 2: Simplify:

Rewrite [Exponential Distributive Property]:                                                  [tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = \frac{4(3^2x^2)}{2^2x^2}[/tex][Order of Operations] Evaluate exponents:                                                   [tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = \frac{4(9x^2)}{4x^2}[/tex][Order of Operations] Multiply:                                                                        [tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = \frac{36x^2}{4x^2}[/tex]Simplify:                                                                                                            [tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = \frac{36}{4} ,\ x \neq 0[/tex][Order of Operations] Divide:                                                                          [tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = 9 ,\ x \neq 0[/tex]

[tex]\\ \sf\longmapsto \dfrac{4(3x)^2}{(2x)^2}[/tex]

[tex]\\ \sf\longmapsto\dfrac{ 4(9x^2)}{4x^2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{36x^2}{4x^2}[/tex]

Take x^2 common and cancel.

[tex]\\ \sf\longmapsto \dfrac{x^2}{x^2}\left(\dfrac{36}{4}\right)[/tex]

[tex]\\ \sf\longmapsto \dfrac{36}{4}[/tex]

[tex]\\ \sf\longmapsto 9[/tex]

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
2y - 2 = -14

Answers

Answer: y=-6

Step by step explanation:
2y-2=-14
2y=-12 (move the negative 2 to the right)
y= -6 (divide both sides by 2)
Your equation is then y=-6

Can anyone help me please?

Answers

Answer:

ñññ

Step-by-step explanation:

4x+2y=7 y=-2x+3.5 how many solutions does this problem have? No solution, one solution, or infinite solutions

Answers

Answer: many solutions

Step-by-step explanation:

Х
Probability with permutations and combinations
file
Nia is 1 of 24 students in a class. Every month, Nia's teacher randomly selects 4 students from their class to act
as class president, vice president, secretary, and treasurer. No one student can hold two positions.
Do
In a given month, what is the probability that Nia is chosen as president?
Choose 1 answer:
BRE
TA
1
24 P4
As
A
1
MY
TATU
Co
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23 P 3
24 P4
SAT
MY
D
(24 P.). (24 P3)
24 P4
Pro
2 of 4 .OOO

Answers

Using permutations and the probability concept, it is found that there is a 0.0417 = 4.17% probability that Nia is chosen as president.

A probability is the number of desired outcomes divided by the number of total outcomes.As there are different roles, the order in which the students are chosen is important, hence, the permutation formula is used to solve this question.

Permutation formula:

The number of possible permutations of x elements from a set of n elements is given by:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

Desired outcomes:

Nia's president.For the other roles, 3 students from a set of 23, hence:

[tex]D = P_{23,3} = \frac{23!}{20!} = 10626[/tex]

Total outcomes:

4 students from a set of 24, hence:

[tex]T = P_{24,4} = \frac{24!}{20!} = 255024[/tex]

Then:

[tex]p = \frac{D}{T} = \frac{10626}{255024} = 0.0417[/tex]

0.0417 = 4.17% probability that Nia is chosen as president.

To learn more about probabilities, you can take a look at https://brainly.com/question/24437717

Answer:The answer is 23 P 3/ 24 P 4

Step-by-step explanation:

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