Stacy bought a couch for $870 and agreed to pay $254 in interest. Find her monthly payment if she repaid the loan in 2 years.
Answers
Stacy's monthly payment for the couch would be $46.83 if she repaid the loan in 2 years.
What is a interest?
Interest amount refers to the additional money that a borrower is required to pay back to a lender on top of the principal amount borrowed. Interest is the cost of borrowing money and is typically calculated as a percentage of the principal amount borrowed, known as the interest rate.
For example, if you borrow $1,000 at an interest rate of 5%, the interest amount would be $50 (5% of $1,000). Therefore, you would have to pay back a total of $1,050, which includes the principal amount of $1,000 and the interest amount of $50. The interest amount can vary depending on factors such as the interest rate, the amount borrowed, and the length of time the loan is outstanding.
To find Stacy's monthly payment, we need to first determine the total amount she will repay over the course of the 2-year loan term. This amount will include the original cost of the couch plus the interest she agreed to pay.
The total amount she will repay can be calculated by adding the cost of the couch and the interest together:
Total amount repaid = Cost of couch + Interest
Total amount repaid = $870 + $254
Total amount repaid = $1124
Now that we know the total amount that Stacy will repay, we can determine her monthly payment by dividing this amount by the number of months in the loan term (2 years or 24 months).
Monthly payment = Total amount repaid / Number of months in loan term
Monthly payment = $1124 / 24
Monthly payment = $46.83 (rounded to the nearest cent)
Therefore, Stacy's monthly payment for the couch would be $46.83 if she repaid the loan in 2 years.
It's important to note that this calculation assumes that the interest is simple interest, which means that the interest is only charged on the original amount of the loan and does not accrue on any additional interest charges. If the interest is compound interest, the calculation would be more complex and may result in a higher monthly payment.
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Related Questions
Given point A(−2, 6) and point B(3, 4), find the coordinates of point C that divide AB so that the ratio AC:CB is 2:3.
The coordinates of point C are
40 POINTS
Answers
Answer:
(-1/2 , 17/4)
Step-by-step explanation:
Look at the graph below. Is it a function or not a function? Explain your reasoning.
Answers
can you guys answer this ?
Answers
Answer:
-7
...................
I calculate the sum from starting with (-7+10))
So once I did that it’s 2-3(3-4(3)
Now you multiply the digits
2-3(3-12)
Now you subtract for 3-12
Which is -9 now you have 2-3(-9)
A negative times a negative is a positive
So 2+27=29
That’s how I got my answer. If this helps please give me brainiest and have a wonderful day
PLS HELP ME!! Jdjjssnbshsnsvgzhshsvssu
Answers
Answer: The 2 litter bottle holds more
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
half a gallon is only 1.89 litters and two liters only holds .528 of a gallon
17, 18, 22, 31, 47, ? Continue the pattern
Answers
Answer:
17 +1^2=18
18+2^2=22
22+3^2=31
31+4^2=47
47+5^2=72
72+6^2=108
Step-by-step explanation:
Nicole will attend a 2-year college, and she is planning her budget.
Answer the following.
(a) Below is an estimate of all her expenses and sources of funding for her 2-year college
education.
For each, select whether it is an expense or a source of funding.
Expense
Funding
Books and supplies:
Savings:
Scholarships:
Housing and food:
Tuition and fees:
Transportation:
$1700
$7800
$10,240
$14,020
$11,660
$2040
$11,600
$6200
$2980
Grants:
Student loans:
Personal expenses:
(b) What is the total of her estimated expenses?
$
0000
0000 1000
X
Answers
a. Expenses: Books and supplies, Housing and food, Tuition and fees, Transportation and Personal expenses. Funding: Savings,
Scholarships, Grants and Student loans.
b. Total estimated expenses are $29,400
(a) Below is an estimate of all her expenses and sources of funding for her 2-year college education.
Expense:
Books and supplies: $1700
Housing and food: $14,020
Tuition and fees: $11,660
Transportation: $2040
Personal expenses: $2980
Funding:
Savings: $7800
Scholarships: $10,240
Grants: $11,600
Student loans: $6200
(b) What is the total of her estimated expenses?
To find the total estimated expenses, we need to add up all the expenses mentioned:
$1700 + $14,020 + $11,660 + $2040 + $2980 = $29,400
Therefore, the total estimated expenses for Nicole's 2-year college education is $29,400.
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A new car is bought for $100,000. If the annual depreciation is 10%, find the value of the car after 3 years.
Remaining Amount = 100,000(1 -0.1)3
Answers
The value of the car after 3 years is $79, 000
How to determine the valueTo determine the value, we have to use the formula;
Value = Initial value × (1 - Depreciation rate)ⁿ
Substitute the values given, we get;
Remaining value after 3 years = $100,000 × (1 - 0.10)³
Expand the bracket, we get;
Value after 3 years = $100,000 × (0.90)³
Find the cube value and substitute, we have;
Value after 3 years = $100,000 × 0.729
Multiply the values, we have;
Value after 3 years = $72,900
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Lollollollollollollollollollollollollollollollollollollollollollollollollollollollollol pt. 3
Answers
lolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllol
here's a picture of a seal
i hope you like it
What is 1 1/4 - 5/6 PLEASE HELP I WILL GIVE LITERALLY ALL MY BRAND LIST HELPP
Answers
Answer:
-7/12
Step-by-step explanation:
I used my calculator
Answer:
1 11/12
Step-by-step explanation:
Hey! So for this one you have to do it this way:
you have to find a common denominator, in this case you can have 12 as that. Now you are going to multiply 11/4 by 3/3 and multiply 5/6 by 2/2. You should get 33/12 - 10/12, which is 23/12, or 1 11/12.
Hope this helped!
Mr. Santos plants beans and squash in the areas shown in the model below.
Squash:
Beans:
12 acres
21 acres
Which expression is equivalent to the sum of the two areas?
O 3(4+7) acres
O 7(3+4) acres
O 4(3 + 7) acres
O 3(3+ 7) acres
.
Answers
Answer:
squash:21 acres o3(3+7)acres
Find -7A -6B A, B, C, or D.
Answers
Answer:
i do not remember sorry
Step-by-step explanation:
im not really sure
-ractions:
On a website, there is an ad for jeans every 5 minutes, an ad for sneakers
every 10 minutes, and an ad for scarves every 45 minutes.
If they all appeared together at 9:00 P.M., when is
the next time they will all appear together?
ICM to solve the problem
Answers
Answer:
Step-by-step explanation:
a pack of cinnamon-scented pencils sells for 5.00 dollars what is the sales tax rate if the total cost of the pencils is 5.15
Answers
calculate the percentage increase,work out the difference (increase) between the two numbers you are comparing. Then divide the increase by the original number and multiply the answer by 100.
520-500 = 20
20÷500 =.04
.04 ×100= 4%
Margot has 8 kilograms of apples.how many liters Of apple juice can Margot make. How do l do this?????
Answers
Answer:
so about 4?
Step-by-step explanation:
1 kilogram = 1,000 grams
2 kilograms = 2 times 1,000 which equals 2,000 grams
2,000 grams makes one liter
uhh this is just an educated guess...
. Suppose a government agency has a monopoly in the provision of internet connections.
The marginal cost of providing internet connections is 1
2
, whereas the inverse demand
function is given by: p = 1
Answers
The government agency as a monopolist will produce and sell internet connections up to the point where the marginal cost is 1/2. The price will be set at 1, given the perfectly elastic demand function.
In the scenario where a government agency has a monopoly in the provision of internet connections and the inverse demand function is given by p = 1, we can analyze the market equilibrium and the implications for pricing and quantity.
The inverse demand function, p = 1, implies that the market demand for internet connections is perfectly elastic, meaning consumers are willing to purchase any quantity of internet connections at a price of 1. As a monopolist, the government agency has control over the supply of internet connections and can set the price to maximize its profits.
To determine the optimal pricing and quantity, the monopolist needs to consider the marginal cost of providing internet connections. In this case, the marginal cost is given as 1/2. The monopolist will aim to maximize its profits by equating marginal cost with marginal revenue.
Since the inverse demand function is p = 1, the revenue received by the monopolist for each unit sold is also 1. Therefore, the marginal revenue is also 1. The monopolist will produce up to the point where marginal cost equals marginal revenue, which in this case is 1/2.
As a result, the monopolist will produce and sell internet connections up to the quantity where the marginal cost is 1/2. The monopolist will set the price at 1 since consumers are willing to pay that price.
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the point that doesn't lie to a straight line y=-4x+12 is
Answers
Answer:
12?
Step-by-step explanation:
ramon makes a spinner with 4 colors. he colors 25% of the spinner red, 15% blue, 40% orange, and the rest green. ramon then spins the spinner. which outcome would be most likely to happen?
a. the spinner landing on green or red
b. the spinner landing on green or blue
c. the spinner landing on orange or red
d. the spinner landing on orange or blue
Answers
Answer:
c. the spinner landing on orange or red
Step-by-step explanation:
So first you find how much is green
25 + 15 + 40 = 80
100 - 80 = 20
So the amount green is 20%
Then you choose the color that has the biggest percentage because it has a higher change of being chosen
25% is red
15% is blue
40% is orange
20% is green
orange and red is the biggest amount/ has the biggest percentage
c is your answer
The National Automobile Dealers Association collects data on sales numbers, prices, and usage of new and used automobiles. One statistic of interest is the proportion of cars that are still on the road after 10 years. In a 2019 sample of 1500 on the road cars, 357 were 10 years old or older. Let
p
be the true proportion of on the road cars that are 10 years or older. Consider testing the hypotheses
H 0
:p=0.25
versus
H 1
:p<0.25
What is the P-value for your test? Round your answer to two decimal places.
Answers
The P-value for the hypothesis test is 0.1034 .Round to two decimal places, the P-value is 0.10
To find the P-value for this hypothesis test, we need to use the sample proportion of on the road cars that are 10 years or older, which is the number of cars in the sample that are 10 years or older divided by the total number of cars in the sample. In this case, the sample proportion is \(\frac{357}{1500}= 0.238.\)
We can then use this sample proportion to calculate the P-value, which is the probability of observing a sample proportion as extreme as the one we have seen, or even more extreme, given that the null hypothesis is true. In this case, the null hypothesis states that the true proportion of on the road cars that are 10 years or older is 0.25, so we need to calculate the probability of seeing a sample proportion as low as 0.238, or lower, if the true proportion is actually 0.25.
To do this, we can use a one-sided test, since we are only interested in the probability of seeing a sample proportion lower than 0.25. We can use a normal approximation to the binomial distribution to calculate the P-value.
The standard error of the sample proportion is given by the formula:
SE \(= \sqrt\frac {p \ * (1 - p)}{n}\)
Where p is the null hypothesis value for the proportion (0.25 in this case) and n is the sample size (1500 in this case). Plugging these values into the formula gives us:
SE = \(\sqrt\frac{0.25 * (1 - 0.25)}{1500}= 0.0158\)
The z-score for the sample proportion is then given by the formula:
z =\(\frac{ (p - p_0)}{SE}\)
Where p is the sample proportion (0.238 in this case) and p0 is the null hypothesis value for the proportion (0.25 in this case). Plugging these values into the formula gives us:
\(z = \frac{(0.238 - 0.25)}{0.0158} = -1.27\)
We can then use the z-score to calculate the P-value. Since we are performing a one-sided test, we only need to consider the probability of seeing a sample proportion lower than 0.25. This is given by the area under the normal curve to the left of the z-score. We can use a z-table or a calculator to find this probability.
The probability for a z-score of -1.27 is about 0.1034. This is the P-value for the hypothesis test.
Round to two decimal places, the P-value is 0.10
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сделайте пожалуйста 5 заданий из этих
Answers
Answer:
Step-by-step explanation:
What’s the vertex of f(x)=|3x-6|
Answers
Answer:
Step-by-step explanation:
Given function: f(x)=|3x-6|
To find: Vertex of the function
When we solve the given equation, 3x-6, by equating it to 0, we get
3x=6
x=2 ......(1)
Now, we will use the obtained value of x to find the value of y
To find the vertex at x=2, we will have to find the value of the y coordinate
let's assume the equation to be: 3x-6+y ......(2)
Let's solve equation (2) by equating it to 0
3x-6+y=0
Substituting equation (1), we get
3(2)-6+y=0
6-6+y=0
y=0
Therefore, we get the value of x as 2 and y as 0.
Therefore the vertex of f(x)=|3x-6| is (2,0).
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Solve the following equation for y: -4x+8y=24
Answers
Answer: y = 3 + x/2
Step-by-step explanation:
Find the missing side lengths, put answer as radical in simplest form
Look at picture for reference
Answers
The value of the missing side lengths x and y are 5√2 and 5 respectively.
What is the value of side length x and y?The figure in the image is a right triangle.
Angle θ = 45 degree
Hypotenuse = x
Opposite to angle θ = y
Adjacent to angle θ = 5
To solve for side x and side y, we use the trigonometric ratio.
Note that:
Cosine = adjacent / hypotenuse
tangent = opposite / adjacent
Solving for x:
Cosine = adjacent / hypotenuse
Plug in the values
cos( 45 ) = 5/x
x = 5 / cos( 45 )
x = 5√2
Solving for side y:
tangent = opposite / adjacent
Plug in the values
tan( 45 ) = y/5
y = tan( 45 ) × 5
y = 5
Therefore, the value of side length x is 5 units.
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Solve the following inequality. x >-1
Answers
Answer:
( − 1 , ∞ )
Step-by-step explanation:
( − 1 , ∞ )
If the price charged for a candy bar is p(x) cents, then x thousand candy bars will be sold in a certain city, where p(x)= 155-(x/10):
a. find an expression for the total revenue from the sale of x thousand candy bars.
b. find the value of x that leads to maximum revenue
c. find the maximum revenue
Answers
The expression for the total revenue from x thousand sales is 155,000x - 100x².
The value of x is 775 cents and the maximum revenue is $60,062,500.
What is the maximum revenue?First, come up with an expression for total revenue from x thousand sales:
= (155 - x /10 ) × x × 1,000 units
= 155,000x - 100x²
The value of x would then be:
Derive the function from the total revenue function to give:
0 = 155,000 - 200x
x = 775 cents
The maximum revenue is therefore:
= 155,000(775) - 100(775)²
= $60,062,500
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me need help math';;''';';';'
Answers
Answer:
Adjacent angles
Step-by-step explanation:
They share a common vertex and side, fulfilling the criteria that makes them adjacent angles.
Sorry, needed to make up characters lol.
Because adjacent angles are two angles that have a common vertex and a common side but do not overlap.
A two-way ANOVA with interaction has how many sources of variation?
Answers
Sources of variation, or components of the two-way ANOVA include two factors, each with two or more levels (groups), and collectively, factors are often referred to as the main effects in these types of ANOVA.
What is ANOVA?Analysis of variance is a set of statistical models and the estimation processes that go with them that are used to examine the differences between means. Ronald Fisher, a statistician, invented ANOVA. ANOVA is a statistical procedure that divides observed variance data into distinct components for use in further tests. For three or more sets of data, a one-way ANOVA is used to learn about the connection between the dependent and independent variables. ANOVA, which stands for Analysis of Variance, is a statistical test used to compare the means of multiple groups.
Here,
The sources of variation, or components of the two-way ANOVA, are two factors, each having two or more levels (groups), and factors are sometimes referred to as the main effects in these forms of ANOVA.
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f(x) = integrate t ^ 2 dt from 0 to x ^ 3 * ther; f^ prime (x)= Box
Answers
Given:
\(f(x)=\int_0^{x^2}t^2dt\)Required:
The value of
\(f^{\prime}(x)\)Explanation:
Let us solve the integral.
\(\begin{gathered} f(x)=\int_0^{x^3}t^2dt \\ \Rightarrow[\frac{t^3}{3}] \\ =\frac{x^9}{9}+c \end{gathered}\)Thus,
\(f^{\prime}(x)=x^8\)Final Answer:
The derivative is,
\(f^{\prime}(x)=x^8\)what is the slope intercept form of 4x+y=-3
Answers
Answer:
Step-by-step explanation:
-4x-3=y
Can you help me with this please -42=5(2c+9)-3(c+8)
Answers
Answer:
Step-by-step explanation:
Can you help me with this please
-42=5(2c+9)-3(c+8)
-42 - 7c + 21 = 0
c = -(-63)/-7
c = -9
\(-42 = 5(2c+9)-3(c+8)\\\\\implies -42 = 10c + 45 -3c - 24\\\\\implies 7c = -42 -45 +24 \\\\\implies 7c = -63\\\\\implies c = -\dfrac{63}7 = -9\)
The following equation of a quadratic function is given in standard form. f(x) = x²- 2x + 2 Determine the vertex for each quadratic. Round your answers to the nearest tenth if necessary. (x, y) = ______.
Answers
Answer:
The vertex for each quadratic is \((x,y) = (1,1)\)
Step-by-step explanation:
To determine the vertex for each quadratic,
The vertex of the \(x\) coordinate can be determined using the formula,
\(x-vertex = \frac{-b}{2a}\)
The standard form of the quadratic function is
\(f(x) = ax^{2} + bx + c\)
Hence, for the given equation of the quadratic function,
\(f(x) = x^{2} -2x +2\)
\(a = 1\)
\(b = -2\)
and \(c = 2\)
Hence, \(x-vertex\) becomes,
\(x-vertex = \frac{-b}{2a}\)
\(x-vertex = \frac{--2}{2(1)}\)
\(x-vertex = \frac{2}{2}\)
∴\(x - vertex = 1\)
This is the vertex for the \(x-coordinate\)
To determine, the vertex for the \(y-coordinate\)
We will put the value of the vertex of the \(x-coordinate\) in the equation and write
\(y-vertex = x^{2} - 2x + 2\)
Then,
\(y-vertex = (1)^{2} -2(1) + 2\)
\(y-vertex = 1 - 2 +2\\y-vertex = 1\)
This the vertex for the \(y-coordinate\)
Hence, \((x,y) = (1,1)\)