Using simple interest, it is found that
a) The monthly payment was of $321.53.
b) 36 monthly payments were made.
c) The sum of the monthly payments is of $11,575.
d) $1,575 was paid in interest.
The amount of simple interest accrued after t years is modeled by:
[tex]A(t) = P(1 + rt)[/tex]
In which:
P is the principal, which is the initial deposit.r is the interest rate, as a decimal.In this problem:
Loan of $10,000, hence [tex]P = 10000[/tex].APR of 5.25%, hence [tex]r = 0.0525[/tex]3 years, hence [tex]t = 3[/tex]Item c:
The sum is A(3), hence:
[tex]A(t) = P(1 + rt)[/tex]
[tex]A(3) = 10000[1 + 0.0525(3)][/tex]
[tex]A(3) = 11575 [/tex]
The sum of the monthly payments is of $11,575.
Item d:
Interest is amount subtracted by principal, hence:
[tex]I = A(3) - P = 11575 - 10000 = 1575[/tex]
$1,575 was paid in interest.
Item b:
3 years, hence 3 x 12 = 36 monthly payments were made.
Item a:
[tex]\frac{11575}{3} = 321.53[/tex]
The monthly payment was of $321.53.
A similar problem is given at https://brainly.com/question/13176347
a. The monthly payment is $285.34.
b. The number of monthly payments made by Rachel is 36.
c. The sum of the monthly payments is $10,272.24.
d. The total amount paid in interest is $272.24.
What is the monthly payment?The monthly payment is the periodic payment that a borrower (the debtor) makes to settle their liability to the lender (the creditor).
The monthly payment can be determined using an online finance calculator as follows:
Data and Calculations:N (# of periods) = 36 months (3 x 12)
I/Y (Interest per year) = 5.25%
PV (Present Value) = $10,000
FV (Future Value) = $0
Results:
PMT = $285.34
Sum of all periodic payments = $10,272.24 ($285.34 x 36)
Total Interest = $272.24 ($10,272.24 - $10,000)
Thus, while the monthly payment is $285.34 for 36 months, the sum of all periodic payments totals $10,272.24, resulting in a total interest of $272.24.
Learn more about monthly payments at https://brainly.com/question/24576997
Find the equation of a parabola in vertex form with given vertex and point.
Vertex (0,1) and passing through (-1,0)
keeping in mind that we could have a horizontally opening parabola or a vertically opening one using those values, let's use the vertical parabola type for the equation
[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(0,1)}\\\\ \stackrel{"a"~is~negative}{o pens~\cap}\qquad \stackrel{"a"~is~positive}{o pens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]
[tex]y=a(x-0)^2+1\implies y=ax^2+1\qquad \textit{we also know that when} \begin{cases} x = -1\\ y = 0 \end{cases} \\\\\\ 0 = a(-1)^2+1\implies 0=a+1\implies \boxed{-1=a} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill y=-x^2+1\implies \stackrel{\textit{vertex form}}{y = -(x-0)^2+1}~\hfill[/tex]
Pls answer my questions on this pic here
(must include the math work)
i will give brainlist for the most helpful answer
Answer:
252, 1 1/4, 308, 1 1/2
Step-by-step explanation:
5. The kitchen is 2 1/4 in by 1 3/4 in. 2 1/4in = 9/4in = 18ft. 1 3/4in = 7/4in = 14ft.
So we have 18ft by 14ft. The area is one side multiplied by the other side:
18 × 14 = 252ft^2.
6. 10/2 = 5. 5/4 in = 1 1/4in.
7. Bedroom 2 is 1 3/4in by 2 3/4in. 1 3/4in = 7/4in = 14ft. 2 3/4in = 11/4in = 22ft.
14ft × 22ft = 308ft^2 of carpet.
8. 12ft/2 = 6. 6/4 = 1 2/4 = 1 1/2 in.
Hope that helps!
__________
[tex] \: [/tex]
Answer in the picture.
Solve the following inequality
Estimate 1299+13,522 +6424 by first rounding each number to the nearest thousand.
Answer:
1299+13522+6424=21245
round off to the nearest thousand
21,245
the nearest thousand is 1,000
the number beside it is 200
according to the rule to round off it has to be above 5 it is not
so drop off the 2 and add zero to the end
now your answer is 21,000
Step-by-step explanation:
hope this helps good luck!
Answer:
Step-by-step explanation:
1299 + 13522 + 6424 = 1000 + 14000 + 6000
= 21000
1299 ---> hundred place is 2 < 5. So, 1000
13522 ----> Hundreds place is 5 ≥5. so, add one to the thousands place.
Which is 14000
Explain how to determine whether the difference of two numbers is less than or greater than the first number.
Answer:
To determine if the difference of two numbers is less or greater than the first number, check the value of the first number, and the value of the second number.
(greater) - (lesser) = (positive)
(lesser) - (greater) = (negative)
(neg lesser) - (neg greater) = (positive)
(neg greater) - (neg lesser) = (negative)
For Example:
10 - 5 = 5
5 - 10 = -5
(-5) - (-10) = 5
(-10) - (-5) = -5
Please correct me if I’m wrong, I may have misunderstood the question.
You randomly select one card from a 52-card deck. Find the probability of selecting a black four or a black five.
Answer:
1/13 or 7.69%
Step-by-step explanation:
Note that there are 2 suits that are black (clubs and spades). You are also trying to draw a black four or a black five, meaning that it gives you only:
1) Four of clubs
2) Four of spades
3) Five of clubs
4) Five of spades
Your probability of drawing is part/whole, or 4/52
Simplify:
(4/52)/(4/4) = 1/13
Your probability is 1/13, or a 7.69% chance of selecting the targeted card.
Compare your response to the sample response above. What did you include in your explanation?
a reference to the horizontal-line test
a statement that the function is one-to-one
the conclusion that the inverse is a function
Answer:
mention the square root property?
Step-by-step explanation:
Statistics help needed.
Where's your question?
left. \begin{array} { l } { z \geq 18250 s } \\ { \text { T
kya karna hai isme
what we have to do in this
Question 3 (Mandatory) (10 points)
Simplify
(2/3a - 5) - (1/3a + 3)
*Please show your work so I can’t understand better thank you*
Answer:
1/3a - 8
Step-by-step explanation:
Distribute negative sign:
2/3a - 5 + -1 (1/3a + 3)
2/3a + -5 + -1 (1/3a) + (-1)(3)
2/3a + -5 + -1/3a + -3
Combine like terms:
2/3a + -5 + -1/3a + -3
(2/3a + -1/3a) + (-5 + -3)
= 1/3a - 8
10 +4m when m = -2
i really need help on this lol
Use the digits nine, six and three one time each in the following Multi digit division problem then rewrite the problem
The number in the problem whose result is 40, will be 3,600 and 90.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Division means the separation of something into different parts, sharing of something among different people, places, etc.
Use the digits nine, six, and three one time each in the following Multi-digit division problem then rewrite the problem.
Then the problem whose result is 40 will be given as the division of 3600 by 90.
3,600 / 90 = 40
The number in the problem whose result is 40, will be 3,600 and 90.
More about the Algebra link is given below.
https://brainly.com/question/953809
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What is your walking rate in steps per minute?
Answer:
100 steps per minute
Step-by-step explanation:
Answer:100 steps per minute
Step-by-step explanation:
For the function: f(x) = 3x^2– 4x – 8, find and simplify
A. f(x) - f(a) divided by x-a
b.f(x +h) - f(x) all divided by H
Answer:
Step-by-step explanation:
A) (f(x) - f(a)) / (x - a)
(3x²– 4x – 8 - (3a² – 4a – 8)) / (x - a)
(3x²– 4x – 8 - 3a² + 4a + 8) / (x - a)
(3(x² - a²) – 4(x - a)) / (x - a)
(3(x - a)(x + a) – 4(x - a)) / (x - a)
3(x + a) - 4
B) (f(x + h) - f(x)) / h
(3(x + h)² - 4(x + h) - 8 - (3x² - 4x - 8)) / h
(3(x² + 2xh + h²) - 4x - 4h - 8 - 3x² + 4x + 8) / h
(3x² + 6xh + 3h² - 4x - 4h - 8 - 3x² + 4x + 8) / h
(3x² + 6xh + 3h² - 4h - 8 - 3x² + 8) / h
(3x² + 6xh + 3h² - 4h - 3x² ) / h
( 6xh + 3h² - 4h ) / h
(6xh + 3h² - 4h) / h
6x + 3h - 4
Describe a way to obtain the same image without using rotations. (Can’t use stuff like 180°)
Answer:
Step-by-step explanation:
Reflection over x-axis then reflection over y-axis
The measure of an exterior angle of a triangle is zº. The measure of the adjacent interior angle is at least twice 2". Which of these is NOT a possible
solution for 2?
please help me .
Answer:
The best of me and said that you
write and equation on the line that passed through (0,-1) and is perpendicular to the line y =1/9x+2
Answer:
y=-9x-1
Step-by-step explanation:
since it is perpendicular, the slope must be the opposite reciprocal (-9x) and now we plug the coordinates in, -1=0+b, b is -1
Answer:
y=-9x-1
Step-by-step explanation:
The retail price of a television set is $4500. If the buyer pays cash, the price is 10% below the retail price. If the set is bought on hire purchase, the buyer pays a down payment of $675 and 24 monthly instalments of $212.50. Determine the cash price.
4050 is the cash price of the television set whose retail price is $4500
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that the retail price of a television set is $4500
If the buyer pays cash, the price is 10% below the retail price
If the set is bought on hire purchase, the buyer pays a down payment of $675 and 24 monthly instalments of $212.50
we need to find the cash price.
We need to find the 10% of 4500:
Convert 10% to decimal form
10/100=0.1
Now multiply 0.1 with 4500
0.1×4500=450
Substract the 10% to the retail price:
4500-450=4050
Hence, 4050 is the cash price of the television set whose retail price is $4500
To learn more on Percentage click:
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Help help help please please
◊ Hello there! ◊
◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦
7x+4/3<6
Get rid of the denominator first by multiplying both sides by 3:
7x+4<18
Now, move all the numbers to the right, using the opposite operation:
7x<18-4
7x<14
Divide both sides by 7:
x<2
Therefore, x<2 ✔︎Hope this helps!
~Just a felicitous gal
#HaveANiceDay
[tex]SilentNature \\;)[/tex]
Which complex number is equivalent to the given expression?
(-45-22i)+2(5-3i)(5+3i)
A. -30-25i
B. -11+22i
C. -13+38i
D. 23-22i
Work Shown:
(-45-22i)+2(5-3i)(5+3i)
(-45-22i)+2(5^2-(3i)^2)
(-45-22i)+2(25-9i^2)
(-45-22i)+2(25-9(-1))
(-45-22i)+2(25+9)
(-45-22i)+2(34)
-45-22i+68
(-45+68)-22i
23-22i
In the second step, I used the difference of squares rule. Keep in mind that i^2 = -1 since i = sqrt(-1).
What is the square root of 121?
Answer:
11
Step-by-step explanation:
A square root is any number that is multiplies by itself to get a number.
11*11=121
Hope this helps! Plz give brainiest!
Please help asap I’ll give you 20 points
Answer:
first one is left second one is right
Answer:
What is that on?
it is blury
Madison’s dad use a hose to fill an infltable pool in the back yard
Given the graph of two linear equations, describe how to determine the solution.
How could the solution be verified?
(That’s how the question looks like And I WILL give brainliest to whoever is correct)
Answer:
The solution is the point of intersection of the lines on the graph. Then, substitute the x and y values into both equations to see if they produce two true statements.
Step-by-step explanation:
I got it right Edge 2021. Use "Wordtune Editor" and click "Rewrite" so it's not plagerism.
Answer:
Sample Response: The solution is the point of intersection between the lines on the graph. Identify this point and substitute the x and y values into both equations to see whether they produce two true statements.Step-by-step explanation:
How much money will you have in the bank if you put in $4000 at 3% interest for 4 years?
At the end of 4 years, your savings will have grown to $4,502.
You will have earned in $502 in interest.
1. A local charity is collecting food for the winter. They have asked 150
families to donate 5 cans of food. If 80% of the families donate 5 cans of
food, how many cans should the charity collect? *
The charity should collect 600 cans of food
Number of families that the charity asked to donate food = 150
80% of the families donated 5 cans of food
Number of families that actually donated 5 cans of food = (80/100) x 150
Number of families that actually donated 5 cans of food = 0.8 x 150
Number of families that actually donated 5 cans of food = 120
Number of cans donated by each family = 5
Number of cans donated by 120 families = 5 x 120
Number of cans donated by 120 families = 600
The charity should collect 600 cans of food
Learn more here: https://brainly.com/question/25458888
When I am trying to find the whole of the percent and divide it what do I do with the remainder? Like do I put it together with the answer and go on or multiply them together ?
The problem I’m solving is [What number is 70% of 279]
And I divided them too and I got 39 and 3 reminder. Please scallion and help me with this problem in order to get marked
Answer:
a. 9.48
b. 195.3
Step-by-step explanation:
convert the corresponding per cent into a decimal (you can move the decimal place to the left by 2 or divide by 100) then just multiply it with the "of" number
please hurry thank you so much
Answer:
%4, 67 ,-09
Step-by-step explanation:
The Vinaya Pitaka is a sacred text of
Please help correct answer gets brainliest
Answer:
If he will get a simple interest of 40 dollars in 4 years, (if he doesn't spend anything) the answer for annual rate is 10 dollars.
Explanation: Divide 40 by 4=10
Annual means a year.
Just divide the amount of money by the amount of years. And bingo!
PLEASE HELP!? Not that hard.
How many solutions does the system have?
20x−5y=5
4x−y=1
