A customer at an electronics store opened a store credit card to purchase a computer for $1,800. The store put the entire purchase on the credit card with an APR of 17.99%. The customer
pays $125 per month until the balance is paid off. Determine the total amount of interest paid.
A spreadsheet was used to calculate the correct answer. Your answer may vary slightly depending on the technology used.
O $188.09
O $295.01
O $243.11
O $182.45
Answers
The last row of the table will show the total interest paid, which is approximately $243.11.
The correct option is C.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
To calculate the total interest paid,
we need to first find out how many months it will take to pay off the entire balance.
We can use the following formula to calculate the number of months:
N = -log(1-(r×b/p))/log(1+r)
where N is the number of months, r is the monthly interest rate (which is the annual percentage rate divided by 12), b is the balance, and p is the payment.
In this case,
r = 0.1799/12 = 0.01499 (monthly interest rate), b = $1,800, and p = $125.
Plugging these values into the formula, we get:
N = -log(1-(0.01499 × 1800/125))/log(1+0.01499) ≈ 16.24
So it will take about 16.24 months to pay off the entire balance.
Using a spreadsheet, we can create a table with the following columns:
Month: 1 to 16
Balance: starting with $1,800 and decreasing by $125 each month
Interest: calculated as the monthly interest rate times the balance
Payment: $125
Total Interest: calculated as the sum of the interest for all previous months
The last row of the table will show the total interest paid, which is approximately $243.11.
Therefore, the value is (C) $243.11.
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Answer: Option C is correct $243.11
Step-by-step explanation: I got it right On the test!!!
Related Questions
Given the polynomial 9x2y6 − 25x4y8, rewrite as a product of polynomials.
(9xy3 − 25x2y4)(xy3 + x2y4)
(9xy3 − 25x2y4)(xy3 − x2y4)
(3xy3 − 5x2y4)(3xy3 + 5x2y4)
(3xy3 − 5x2y4)(3xy3 − 5x2y4)
Answers
Answer:
Option 3
(3xy³ + 5x²y⁴) (3xy³ - 5x²y⁴)
Step-by-step explanation:
Factorize polynomials:
Use exponent law:
\(\boxed{\bf a^{m*n}=(a^m)^n} \ & \\\\\boxed{\bf a^m * b^m = (a*b)^m}\)
9x²y⁶ = 3²* x² * y³*² = 3² * x² * (y³)² = (3xy³)²
25x⁴y⁸ = 5² * x²*² * y⁴*² = 5² * (x²)² * (y⁴)² = (5x²y⁴)²
Now use the identity: a² - b² = (a +b) (a -b)
Here, a = 3xy³ & b = 5x²y⁴
9x²y⁶ - 25x⁴y⁸ = 3²x²(y³)² - 5²(x²)² (y⁴)²
= (3xy³)² - (5x²y⁴)²
= (3xy³ + 5x²y⁴) (3xy³ - 5x²y⁴)
formula for the sum of an arithmetic progression
Answers
Answer:
I think it is S = n⁄2 (a + L)
Step-by-step explanation:
“S” is the sum of the arithmetic sequence, “a” as the first term, “d” the common difference between the terms, “n” is the total number of terms in the sequence and.
In a population where 25% of voters prefer Candidate A, an organization conducts a poll of 9 voters. Find the probability that 2 of the 9 voters will prefer Candidate A.
(Report answer accurate to 4 decimal places.That is, round to 4 decimal places.)
Answers
The probability that 2 of the 9 voters will prefer Candidate A is 0.30033
Given that 25 % of voters prefer candidate A
Total number of voters = 9
Do we have to calculate the probability that 2 of the 9 voters will prefer Candidate A =?
In this question, we used binomial distribution to find the probability that 2 of the 9 voters will prefer candidate A.
The binomial distribution follows the probability mass function of:
⁹C₂ * (0.25) ² * (0.75)⁷ =>
⁹C₂ = (9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1)/ (7 * 6 * 5 * 4 * 3 * 2 * 1) (2 * 1) =>
⁹C₂ = 9 * 8/2 = 36
Now, 36 * (1/4)² * (3/4)⁷ = 0.30033
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Jacob leaves his summer cottage and drives home. After
driving for 5 hours, he is 112 km from home, and after 7 hours,
he is 15 km from home. Assume that the distance from home
and the number of hours driven form a linear relationship.
How long had Jacob been driving when he was 209 km from
home?
Answers
Answer:
A linear relationship can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If this line passes through the points (a, b) and (c, d) then the slope can be written as:
a = (a - c)/(b - d)
Here y will represent the distance between Jacob and his house, and the variable x represents the time that he has ben driving.
In this case, we know that after driving for 5 hours, he is 112km from home.
Then we can write this point as (5h, 112km)
We also know that after 7 hours he is 15km from home.
Then we can write this point as (7h, 15km)
Then the slope of this function will be:
a = (15km - 112km)/(7h - 5h) = -48.5 km/h
Then the equation is:
y = -(48.5 km/h)*x + b
To find the value of b, we can replace the values of one of the points, for example in the point (7h, 15km)
This means that we need to replace x by 12h, and y by 15km, then we get:
15km = -( 48.5 km/h)*7h + b
15km + ( 48.5 km/h)*7h = b = 354.5 km
then the equation will be:
y = (-48.5 km/h)*x + 354.5 km
Now we want to answer: How long had Jacob been driving when he was 209 km from home?
Then we need to only replace y by 209km, and solve for x:
209km = (-48.5 km/h)*x + 354.5 km
209km - 354.5 km = (-48.5 km/h)*x
-145.5km = (-48.5 km/h)*x
-145.5km/( -48.5 km/h) = x = 3h
So he is 209km away from his home after driving for 3 hours.
Jemma and Debra work as consults. They both get hired for jobs. Jemma charges a fee of $5 plus an additional $22 per hour. Debra charges $20 per hour. Write an expression that
Answers
Answer:
Jemma: 22x + 5
Debra: 20x
Step-by-step explanation:
Where would parenthesis need to be placed in the expression to get a value of 44?
(A) 2+3^2×(5−3)
(B) 2+(3^2×5)−3
(C) (2+3^2)×5−3
(D) (2+3)^2×5−3
Answers
Answer:
B. 2 + (3^2 * 5) - 3
Step-by-step explanation:
Hey! Sorry for the long wait, I'm still in school and can't really be here 24/7 but I'm proud to announce that I have your answer!
So we have 4 expressions and we need to get our answer to 44. This question already includes the notion that parenthesis placements make a huge difference, so let's review them.
A.2 + 3^2 * (5 - 3)
Use PEMDAS
2 + 3^2 * 2
2 + 9 * 2
2 + 18
20
B.2 + (3^2 * 5) - 3
2 + (9 * 5) - 3
2 + 45 - 3
47 - 3
44
C.(2 + 3^2) * 5 - 3
(2 + 9) * 5 - 3
11 * 5 - 3
55 - 3
52
D.(2 + 3)^2 * 5 - 3
(5)^2 * 5 - 3
25 * 5 - 3
125 - 3
122
As we can see, B. is our answer due to its equivlance to 44.
A figure is shown, where lines CE and FD intersect at point B.
.
A figure is shown, where lines CE and FD intersect at point B.
.
Angle ABC is complementary to angle DBC.
What is the measure, in degrees of ?
Answers
Answer:
Step-by-step explanation:
Its 4.51
Find the missing angle.
Answers
Answer:
75
Step-by-step explanation:
All the angles would add up to 360
145+55+35+55=285
Then:
360-285=75
>ZUW=75
Jerry walked a dog from 6:40 a.m. to 7:30 a.m. one day. If he was paid at the rate of $6 per hour, how much did he earn that day?
Answers
Answer:
$5
Step-by-step explanation:
6:40 to 7:30 is 50 minutes
6 per hour
6÷6=1
1x5=5
hope this helps
Lashonda is on a game show. She will choose a box to see if she wins a prize. The odds in favor of Lashonda winning a prize are 9/2
. Find the probability of Lashonda winning a prize.
Answers
The probability of Lashonda winning a prize is 9/11.
To find the probability of Lashonda winning a prize, we can use the odds given. The odds in favor of Lashonda winning a prize are expressed as 9/2.
Odds are typically represented as a ratio of favorable outcomes to unfavorable outcomes.
In this case, the favorable outcomes are Lashonda winning a prize, and the unfavorable outcomes are Lashonda not winning a prize.
The odds in favor of Lashonda winning a prize can be written as 9:2, where 9 represents the favorable outcomes and 2 represents the unfavorable outcomes.
To calculate the probability, we add the favorable and unfavorable outcomes to get the total number of possible outcomes.
In this case, the total number of outcomes is 9 + 2 = 11.
The probability of Lashonda winning a prize can be calculated as the ratio of the favorable outcomes to the total number of outcomes:
Probability = Favorable outcomes / Total outcomes
Probability = 9 / 11.
Therefore, the probability of Lashonda winning a prize is 9/11.
In conclusion, based on the given odds in favor of Lashonda winning a prize being 9/2, the probability of Lashonda winning a prize is 9/11.
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Simplify the expression
2(6x + 3)
Answers
What is the area of ABC? Round to the nearest tenth of a square unit.
Answers
Answer:
I can't see the photo very well.
Find the critical numbers of the function. (Enter your answers as a comma-separated list.)
f() = 6sec + 3tan , 0 < < 2
Answers
The critical numbers of the function are; θ = π/6, 5π/6
How to find the critical value of a trigonometric function?
We are given the trigonometric function as;
f(θ) = 6secθ + 3tanθ ; 0 < θ < 2π
The critical points of a function are defined as those points of the domain where the function is not differentiable or those points for which the derivative is equal to zero.
Let us find the first derivative;
f'(θ) = 6(-sin θ/cos² θ) + 3(1/cos² θ)
f'(θ) = (3 - 6sin θ)/cos² θ
At f'(θ) = 0, we have;
3 - 6sin θ = 0
θ = sin⁻¹(3/6)
Since sin is positive, then;
θ = π/6, 5π/6
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what is the exact value of cos(11 π/12)
Answers
Answer:
\(-\frac{1}{4}(\sqrt{2}+\sqrt{6})\)
Step-by-step explanation:
\(cos(\frac{11\pi}{12})\)
\(cos(\frac{2\pi}{3}+\frac{\pi}{4})\)
\(cos(\frac{2\pi}{3})cos(\frac{\pi}{4})-sin(\frac{2\pi}{3})sin(\frac{\pi}{4})\)
\((-\frac{1}{2})(\frac{\sqrt{2}}{2})-(\frac{\sqrt{3}}{2})(\frac{\sqrt{2}}{2})\)
\(-\frac{\sqrt{2}}{4}- \frac{\sqrt{6}}{4}\)
\(-\frac{1}{4}(\sqrt{2}+\sqrt{6})\)
Helpful Tips:
Sum Identity: \(cos(\alpha+\beta)=cos(\alpha)cos(\beta)-sin(\alpha)sin(\beta)\)
Linda bought 2 sets of 8 apples and each set costs $5.6 how much money does Linda need to pay to the cashier?(giving brainliest!)
Answers
Explanation: If she bought 2 sets of 8 apples then it’s 8 x 2 which is 16 and then 16 x 5.6 is 89.6
How do I solve the problem using substitutions?
Answers
By using the substitution method, the value for (x,y) = (-2, 2)
What is the substitution method in algebra?The substitution method for solving a system of algebra equations is a process where by we make a variable (say variable x) the subject of the formula and substitute it into the second equation to solve for the other variable.
In essence, from the given system of equations; let's make x the subject of the formula in the first equation.
5x + 3y = -4
5x = -4 - 3y
Divide both sides by 5;
x = -4/5 - 3y/5
Now, we are going to substitute this value for x into the second equation. The second equation says:
y - 2x = 6
y - 2(-4/5 - (3y/5)) = 6
By solving for y;
y = 2
Now, let's replace the value of y with any of the given equation (2);
y - 2x = 6
2 - 2x = 6
-2x = 6 - 2
-2x = 4
Divide both sides by -2
-2x/-2 = 4/ -2
x = -2
Therefore, we can conclude that by using the substitution method, the value for (x,y) = (-2, 2)
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0.8 to the fourth power
Answers
If the radius of the wheel below is 4.2 inches. What is the area of the wheel? Round to the nearest tenth place value.
Answers
Answer:
A = 55.4 in^2
Step-by-step explanation:
Answer:
B. 55.4 in^2
Step-by-step explanation:
A = pi*r^2
A = pi*4.2^2
Please help!!!
Question 7 of 10
Which of the following rational functions is graphed below?
A. F(x)= 4/ x-1
B. F(x)= x+4/ x-1
C. F(x)= x(x-1)/ (x+4)
D. F(x)= x/ (x+4)(x-1)
Answers
The rational function graphed in this problem is given as follows:
D. F(x) = x/[(x + 4)(x - 1)]
How to define the rational function?The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator, hence they are given as follows:
x= -4 and x = 1.
Hence the denominator of the function is given as follows:
(x + 4)(x - 1).
The intercept is given as follows:
x = 0.
Hence the numerator is:
x.
Thus the function is given as follows:
D. F(x) = x/[(x + 4)(x - 1)]
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Mr. Dimaggio is making his famous pasta sauce. He uses 8 cups of tomatoes to make 2 quarts of sauce. How many cups of tomatoes will he need to make 12 quarts of the sauce?
____________ = ______________
Please help me!!!!!!!!!
Answers
Answer:
48 cups of sauce
Step-by-step explanation:
You would do 6*8 because 6*2 is 12 and you need 12 quarts of sauce
Hope that helped
When do we use = and when do we use ~
=
Answers
answer
When we use ≈ it means it is an estimated answer and not the exact answer Example 12.4684729572974729758328 ≈ 12
NEED NOW I WILL MARK BRAINLYEISY
Mr. Asir wants to purchase a new home valued at $233,000.
He needs to borrow 50.7% of the home's value from the
bank. How much money doesMr. Asir need to borrow from
the bank?
A $1181
B $4596
$459,566
D $118,13
Answers
Write the equation of the line that
Passes through (-9,4) and 10,-2)
Answers
Answer:
y = -6/19x - 2
Step-by-step explanation:
First we need to find the slope and we can do that by using slope-intercept form [ y2-y1/x2-x1 ].
-2-4/10-(-9)
-6/19
Second we can find the y-intercept using slope intercept form [ y = mx + b], the slope, and a given point.
y = -6/19x + b
4 = -6/19(-9) + b
4 = 54/19 + b
-2 = b
Third we will input all the data we solved for back into the formula.
y = -6/19x - 2
Best of Luck!
The population of a town is predicted to grow according to the following model:
P = 15e0.012r
where P represents the number of people in thousands and t is the number of years since 2020. Find
the predicted population in the year 2030. Round your answer to nearest person
O 16,912 people
O 16,913 people
O 16 people
O 17 people
Answers
The predicted population in the year 2030 is 10 people
How to determine the predicted population in the year 2030From the question, we have the following parameters that can be used in our computation:
Population function, P(t)= 15е⁻⁰.⁰¹²⁺
Also from the question, we have
The variable t represents the number of years since 2020
This means that the value of t in 2030 is
t = 2030 - 2020
t = 10
So, we have
P(10)= 15е⁻⁰.⁰¹² ˣ ¹⁰
Evaluate the above products
P(10)= 15е⁻⁰.¹²
Evaluate the exponents
P(10)= 13.30
Approximate the above expression
P(10) = 13
This means that the number of people is 13
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doc decides to buy the entire 6th grade a slice of pizza.
Answers
Answer:what
Step-by-step explanation:
Answer:
Sorry, This is not a question
Step-by-step explanation:
N/A
6th grade math help me, please :))
Answers
Answer:
D
Step-by-step explanation:
100/5=20
20*7=140
HELP! FREE BRAINLIST!!
What is the Formula to find the Compound Probability, If p(A) and p(B) are the events.
P(A)+P(B)
P(A).P(B)
P(A)-P(B)
None
Answers
Answer:
P(A)*P(B)
Step-by-step explanation:
hope this helps
The spinner on the right is divided into five equal-sized sectors. What is
the probability that the spinner will stop on a number greater than two?
Answers
Answer:
Step-by-step explanation:
There are 5 chances all together.
Only 3 will bring success. They are 3,4,5
P(>2) = 3/5
P(>2) = 0.4
Write this number in scientific notation. 33,200
Answers
Answer:
104 = 10,000 x 3.32 = 33,200
Step-by-step explanation:
hope this helps
Hello There!
When we are writing numbers in scientific notation, we must make sure that the coefficient is between 1 and 10:
3.32x10^4
Hope this helps!
All the best! :)
\(GraceRosalia\)
Question TU OT TU On a piece of paper, graph y-5> 2x - 10. Then determine which answer choice matches the graph you drew. А B C D 5 5 (3.1) . (3, 1) (3.1) $(3. 1 5 6 -5 5 0.-5) (0.-5) 5 (0.-5) 500,-5) O A. Graph A. B. Graph B O C. Graph C
Answers
Observe carefully that the graph is an inequality and the values of y - 5 is NOT EQUAL TO, but is greater than, hence its shown by broken lines and the values (greater than) all lie towards the right side of the coordinate grid.
Hence, the correct answer is option B.
