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:
See belowStep-by-step explanation:
Given:
Loan amount PV = $60000Interest rate r = 3% PATime t = x yearsNumber of compounds n = 12Monthly payment PMT = $1100FV is:
60000*(1 + (3/100)/12)^(12x) = 60000*(1.0025)^(12x)Which is same as total payment:
1100*12*xSolve the following by graphing:
60000*(1.0025)^(12x) = 1100*12*xSee attached
The solution is:
x = 5.333 = 5 1/3 years = 5 years 4 months = 64 monthsTotal payment:
FV = $70 395.95The amount of interest:
I = FV - PV = 70395.95 - 60000 = $10395.95
Related Questions
After heating up in a teapot, a cup of hot water is poured at a temperature of 203°F.
The cup sits to cool in a room at a temperature of 72°F. Newton's Law of Cooling
explains that the temperature of the cup of water will decrease proportionally to the
difference between the temperature of the water and the temperature of the room, as
given by the formula below:
T = Ta +(T. -T.)e-kt
To = the temperature surrounding the object
To = the initial temperature of the object
t = the time in minutes
T = the temperature of the object after t minutes
k=decay constant
The
cup of water reaches the temperature of 183°F after 2.5 minutes. Using this
information, find the value of k, to the nearest thousandth. Use the resulting
equation to determine the Fahrenheit temperature of the cup of water, to the
nearest degree, after 5 minutes.
Answers
Answer:
asd
Step-by-step explanation:
Solve for x : 3x - 24 = 81
Answers
Answer:
3x - 24 = 81
3x = 81 + 24
3x = 105
x = 105 / 3
x = 35
Step-by-step explanation:
3x = 81 + 24
3x = 105
x = 35
Write the percent as a fraction or mixed number in simplest form. 72.5
Answers
Answer: 72 1/2 or 725/10 as mixed number
Step-by-step explanation:
Answer:
72.5/100
Step-by-step explanation: Write down the percent divided by 100, then multiply both top and bottom by 10 after the decimal point, after you multiplied you will get 752/10 then simplify which the simplest form is 145/2 you with then have an improper fraction and it will be 72 1/2
NPM = __?__
Less than BAC
Less than CAB
Less than BCA
Less than ABC
Answers
By the way, the “less than” isn’t a less than symbol lol
how do you solve 9-3(5-4x)
Answers
Answer:
-6+12x
Step-by-step explanation:
9-15+12xmultiply -3(5-4x), calculate the difference
-6+12x
please help me !!! omaths student see the attached question
Answers
Answer:
34.64m
Step-by-step explanation:
Tan30= x(height) /60
x=60tan30
=34.64m
Can someone please help me on this?
Correct Answer = 15 pts and Brainliest
Answers
Step-by-step explanation:
you can clarify on that please
Answer:
[tex]5xy^4[/tex]
Step-by-step explanation:
[tex]\frac{15x^3y^5}{3x^2y}[/tex]
= [tex]\frac{3\cdot \:5x^3y^5}{3x^2y}[/tex]
= [tex]\frac{5xy^5}{y}[/tex]
= [tex]5xy^4[/tex]
If the mean of 16‚20‚25 and p is 20.Find the value of p.
Answers
do 20x4=80
add 16+20+25=61
80-61=19
HELP ME WITH THIS PLEASEEE !
Answers
Answer:
38.525 in²
Step-by-step explanation:
The area formula for a triangle is useful here.
A = 1/2bh . . . . . . b=base length; h=height
A = 1/2(11.5 in)(6.7 in) = 38.525 in²
The area is 38.525 square inches.
PLEAZEEE HELP ME PLS WILL GIVE BRAINLIEST
Answers
Answer:
2q+7r+8
Step-by-step explanation:
(q+3)+(q+2)+(7r+3)
Brainliest is very apprieciated!
there is a drawing with students name in a bag. there are 13 girls and 12 boys.what is the probability of drawing a girl's name and then a boys if the tickets are not put back in the bag?
Answers
Answer:
13 in12
Step-by-step explanation:
A 7-pound bag of cat food costs $13.93. What is the unit price?
Answers
Answer:
$1.99 is the unit price
Step-by-step explanation:
13.93 divided by 7 determines the unit price
write y= - 4x on a graph
Answers
can someone answer this
Answers
Answer: The equation is not an identity
==========================================================
Explanation:
We'll expand out the right hand side to see if we can simplify it to the left hand side. The stuff on the left will stay the same for each step.
I'll use c = a+b as a way to help distribute.
[tex]a^4 + b^4 = (a+b)(a^3 - a^2b-ab^2 + b^3)\\\\a^4 + b^4 = c(a^3 - a^2b-ab^2 + b^3)\\\\a^4 + b^4 = a^3c - a^2bc-ab^2c + b^3c\\\\a^4 + b^4 = a^3(c) - a^2b(c)-ab^2(c) + b^3(c)\\\\a^4 + b^4 = a^3(a+b) - a^2b(a+b)-ab^2(a+b) + b^3(a+b)\\\\a^4 + b^4 = a^4+a^3b - a^3b-a^2b^2-a^2b^2-ab^3 + ab^3+b^4\\\\a^4 + b^4 = a^4+(a^3b - a^3b)+(-a^2b^2-a^2b^2)+(-ab^3 + ab^3)+b^4\\\\a^4 + b^4 = a^4-2a^2b^2+b^4\\\\[/tex]
Unfortunately, we can't go any further. We have a^4 and b^4 on the right hand side, but we also have the term -2a^2b^2 that didn't cancel out. Therefore, the original equation is not an identity.
----------------
Here's another way you can see that we don't have an identity.
Let's say we fixed 'a' to be equal to 1.
That means the equation
[tex]a^4 + b^4 = (a+b)(a^3 - a^2b-ab^2 + b^3)[/tex]
would turn into
[tex]1^4 + b^4 = (1+b)(1^3 - 1^2b-1b^2 + b^3)[/tex]
and simplify to
[tex]1 + b^4 = (1+b)(1 - b-b^2 + b^3)[/tex]
Now replace b with x and you'll have the two equations to represent the left and right hand sides
[tex]y = 1+x^4\\y = (1+x)(1-x-x^2+x^3)[/tex]
which you can graph on the same xy axis. You should note that the two equations produce different curves. The curves would need to be identical if we wanted an identity to happen.
Side note: you can pick other values for 'a' instead of just 1.
–7(2.3y − 2) simplified
Answers
Answer:
-16.1y + 14
Step-by-step explanation:
–7(2.3y − 2)
=> -16.1y + 14
Therefore, -16.1y + 14 is the simplified form.
Hoped this helped
[tex]GeniusUser[/tex]
Answer:
53
Step-by-step explanation:
sorry if im incorrect
Y= 3x — 5 what is the slope and y-intercept
Answers
A triangle has sides with lengths of 4 meters , 5 meters, and 7 meters . Is it a right angle ?
Answers
Answer:
No
Step-by-step explanation:
PLEAS ASAP
i wanna sleep
im young
30 POINTS
Answers
Answer:
325.5 i think
Step-by-step explanation:
At the bakery shop, each baker works at his or her own speed, making the same
number of cakes each day. Marissa makes 28 cakes in 2 weeks, Carlos makes 60
cakes in 20 days, and Shelby makes 5 cakes in 2 days.
When the shop owner graphs the relationship between the number of cakes
made and days, who has the steepest graph? Explain.
Answers
Answer:
Marissa = 28 cakes in 2 weeks
Carlos = 60 cakes in 20 days
Shelby = 5 cakes in 2 days
To compare, make sure that the variables are of equal value
Marissa = 28 cakes in 14 days
Carlos = 60 cakes in 20 days
Shelby = 5 cakes in 2 days
How many cakes does each of them bake in a day?
Marissa = 28 ÷ 14
= 2 cakes/day
Carlos = 60 ÷ 20
= 3 cakes/day
Shelby = 5 ÷ 2
= 2.5 cakes/day
Carlos has the steepest graph. This is because he has the largest number of cakes made per day compared to Marissa and Shelby.
Taylor Swift estimates the cost of a new Tesla model S to be $85,000. The actual cost is $100,690.
What is the percent error in Taylor's estimate? Round your answer to the nearest whole percent.
Answers
Answer:
should be 15%
Step-by-step explanation:
formula is |85,000 - 100,690| ÷ 100,690 × 100
Plot the value(s) on the number line where this function is equal to zero: fx) = (x + 5)(x - 1).
Answers
Answer:
x = - 5, x = 1
Step-by-step explanation:
let f(x) = 0 , that is
(x + 5)(x - 1) = 0
Equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
x - 1 = 0 ⇒ x = 1
Plot the points - 5 and 1 on the number line
6. Solve each equation by graphing. Round to the nearest tenth.
x2 - 6x= -8
Answers
The answer is for this question is A
A couple of friends decide to race each other. Liam can run 5 meters per second, and Grace
can run 8 meters per second. Because he is slower, Liam also gets a head start of 12 meters.
Shortly after they start running, Grace will catch up to Liam. How far has Grace run at that
time? How long will that take?
Answers
Answer:
32 m
4 sec
Step-by-step explanation:
just trust me i did the math
Answer:
i agree with the other person
Step-by-step explanation:
Hello, I really need help with this question. It is talking about true or false statement referring to a graph. Please tell me which statements are true or false.
Answers
Morgan says that the absolute value of -8 is greater than the absolute value of 7. Do you agree with Morgan? Explain.
Answers
Answer:
Yes I agree with Morgan
Step-by-step explanation:
The absolute value of a number is its positive distance from 0. Therefore, -8 is 8 units away from 0 while 7 is 7 units away from 0. Since 8>7, then Morgan is correct in his statement.
im wasting so many points on these
help please
Answers
Hello, again!! :p
I'm not sure about the whole equation because I was taught to solve it in a different way and I got the answer =3 ± i√ 6 ,not a -3.
Sorry, I'm not sure if that was much help!
Yuson must complete 30 hours of community service. She does 2 hours each day. Which linear equation represents the hours Yuson has left after x days?
A. y = -2x + 30
B. y = 2x + 30
C. y = -2x - 30
D. y = 2x - 30
Answers
From the computation done, the linear equation that represents the information given will be A. y = -2x + 30.
From the information given, we're told that Yuson must complete 30 hours of community service and that she does 2 hours each day.
Therefore, the linear equation that represents the hours Yuson has left after x days will be represented thus:
y = 30 - (2 × x)
y = 30 - 2x
y = -2x + 30
Learn more about equations on:
https://brainly.com/question/13763238
At 7 P.M., a burning candle is 16 inches tall. At 9:30 P.M., the candle is only 3.5 inches tall. At what rate is the height of the candle decreasing?
Answers
Answer: 5 inches per hour or 2.5 inches per half an hour
Step-by-step explanation:
Amount of Time Passed: 2 hours 30 minutes
Difference in Candle Height: 12.5 inches
12.5 / 2.5 = 5 inches
5 inches per hour or 2.5 inches per half an hour
If it is incorrect, please let me know.
Which of the following expressions are equivalent to 40x+30y choose all that apply
Answers
Answer:
1,390 I think that's the answer
Step-by-step explanation:
hope that helps
The expression equivalent to 40x + 30y are 5(8x + 6y), 10(4x + 3y) and 2(20x + 15y).
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
Given are some expressions in the options.
Distributive rule says that,
a ( b + c ) = (a b) + (a c), where a, b and c are any numbers.
5x(8 + 6) = 5x(14) = 70x
5(8x + 6y) = 40x + 30y
10(40x + 30y) = 400x + 300y
10(4x + 3y) = 40x + 30y
2y(20x + 15) = 40xy + 30y
2(20x + 15y) = 40x + 30y
Hence the expressions which are equivalent to 40x + 30y are 5(8x + 6y), 10(4x + 3y) and 2(20x + 15y).
Learn more about Expressions here :
https://brainly.com/question/21751419
#SPJ2
The complete question is :
Which of the following expressions are equivalent to 40x+30y. Choose all that apply.
5x(8 + 6)
5(8x + 6y)
10(40x + 30y)
10(4x + 3y)
2y(20x + 15)
2(20x + 15y)
If f(x) = 3 ^ x - 7 and g(x) = x ^ 2 + 11 , the value of f(2) - g(7) is:
Answers
Answer:
The value of [tex]f(2) - g(7)=-58[/tex]
Step-by-step explanation:
We have
[tex]f(x) = 3 ^ x - 7\\\\f(2) = 3 ^ 2 - 7\\\\=9-7\\\\=2\\\\g(x) = x ^ 2 + 11\\\\g(7) = 7 ^ 2 + 11\\\\=49+11\\\\=60\\\\f(2) - g(7)=2-60\\\\=-58[/tex]