Marilyn uses a credit card with a 19.9% APR compounded monthly to pay for car repairs totaling $991.38. She can pay $410 per month on the card. What will the total cost of this purchase be?
$1,021.01
$1,188.66
$991.38
$1,192.39
Answers
$991.38 × 0.199/12 = $16.44
The balance subject to the next month's finance charge will be
$991.38 +16.44 -410.00 = $597.82
The finance charge at the end of the second month will be
$597.82 × 0.199/12 = $9.91
The balance remaining after the second payment will be
$597.82 +9.91 -410.00 = $197.73
The finance charge applied at the end of the third month is
$197.73 × .199/12 = $3.28
so Marilyn can make one final payment of
$197.73 +3.28 = $201.01
to pay off the balance.
In all, Marilyn has paid 2×$410.00 +201.01 =
$1021.01 . . . . . . . . corresponds to the first choice
_____
In real life, Marilyn's credit card may not accrue any finance charge until after the first statement on which the charge appears. Thus the total cost of the purchase may be only $1004.02. The attached spreadsheet shows the beginning balance and the finance charges for each month for the two different scenarios.
Related Questions
If AB=7 and AO=17.4 what is the length of the radius?
Answers
(AO)² = (AB)²+(OB)²
(17.4)²=(7)²+ r²
Therefore, Radius = 15.92 cm Approximately.
r² = 17.4² - 7² = 253.76
r = √253.76 ≈ 15.9
write “10 times the value of y” three different ways using symbols
Answers
10y
y*10
y(10)
A car rental agency advertised renting a car for $ 26.95 per day and $ 0.28 per mile. if brad rents this car for 4 days, how many whole miles can he drive on a $ 250 budget?
Answers
250 = 26.95(4) + 0.28m
Now we just solve for m
250 = 107.80 + 0.28m
142.20 = 0.28m
m ≈ 507.857 miles
We are looking for WHOLE miles though and if he goes even a decimal point over that many miles (and change), he will be over budget. Thus, we must round down to the whole integer.
Brad can drive 507 miles on a $250 budget for a 4-day rental.
All you would do is multiply 26.95 by 4 to find the cost of the rental for four days which is 107.8. Then you would subtract that number from the total he has to spend which would give you 142.2. The divide 142.2 by 0.28 and that gives you 507.857142. But you would round to the nearest whole number and that would give you 507 miles
One competitor in a 100-mile bicycle race took a total of 5 hours to complete the course. his average speed in the morning was 23 miles per hour. his average speed in the afternoon was 13 miles per hour. how many hours did he ride in the morning, and how many hours did he ride in the afternoon?
Answers
We set up two different equations to represent the given info in the description. The first one is morning time + afternoon time = total time to complete the course. So it's x + y = 5. Next, we do morning average multiplied by morning ride time + afternoon average multiplied by afternoon ride time = total distance. So it's 23x + 13y = 100. Then, set up a system of equations:
x + y = 5
23x + 13y = 100
Now, we must pick which variable we want to solve for first. This way we can plug the number we solve for back into one of the original equations to find the other missing variable. I'm going to solve for x first so we multiply by the first equation by - 13. You'll see why in a bit.
- 13(x + y = 5) >> - 13x - 13y = - 65
Your new system of equations is:
- 13x - 13y = - 65
23x + 13y = 100
Now we combine like terms amongst the two equations. Notice the y-variables will cancel each other out, leaving us with just the x to solve for like I want.
10x = 35
Divide by 10 on both sides to isolate variable x
x = 35/10 or 3.5
Now that we have x, we solve for y. Plug your x-value back into either equation; I choose the first because it's easiest.
3.5 + y = 5
Subtract 3.5 from both sides to isolate variable y.
3.5 + y - 3.5 = 5 - 3.5
y + 0 = 1.5
y = 1.5
So the competitor rode 3.5 hours in the morning and 1.5 hours in the afternoon.
OR
The competitor rode 3 hours, 30 minutes in the morning and 1 hour, 30 minutes in the afternoon.
A circle has a radius of 2 yards and a central angle aob that measures 145°. what is the area of sector aob? use 3.14 for pi and round your answer to the nearest tenth.
Answers
A = (S '/ S) * (pi) * (r ^ 2)
Where,
S '/ S = relation of arcs
r: radius of the circle
Substituting values we have:
A = (145/360) * (3.14) * (2 ^ 2)
A = 5.058888889
Rounding off we have:
A = 5.1 yd ^ 2
Answer:
the area of sector "aob" is:
A = 5.1 yd ^ 2
A rock is projected directly upward from ground level with an initial velocity of 90 ft/sec. After how many seconds will it return to the ground?
Answers
h (t) = -16t ^ 2 + 90t
Equaling the equation to zero we have:
-16t ^ 2 + 90t = 0
We look for the roots of the polynomial:
(t) (- 16t + 90) = 0
t1 = 0 (initial position)
t2 = 90/16 = 5.625 s (time it reaches the ground again)
Answer:
it will return to the ground in:
t = 5.625 s
Determine the magnitude and the ordered pair that represents the vector from (18,3) to (-4,16)
Answers
(18,3), (-4,16), component form => (-4-18 , 16-3), => (-22 , 13)
[tex]\bf ||\ \textless \ -22,13\ \textgreater \ ||\implies \sqrt{(-22)^2+(13)^2}\implies \sqrt{497}[/tex]
Answer:
The answer is B.
Step-by-step explanation:
(-22,13); magnitude=25.6
I am taking the cumulative review.
Jack rolls 6 sided number cube labeled 1-6 twice. to the nearest hundredth, what is the probability that the first roll is 4 and the second roll is an even number
Answers
The probability that the first roll is a 4 is 1/6, since there is one 4 out of six total possibilities.
The probability that the second roll is an even number is 3/6, since there are 3 even numbers out of 6 possibilities.
Together, we have 1/6(3/6) = 3/36 = 0.08
[tex] |\Omega|=6^2=36\\
|A|=1\cdot3=3\\\\
P(A)=\dfrac{3}{36}=\dfrac{1}{12}\approx8.3\% [/tex]
A triangular building is bounded by three streets. The building measures approximately 83 feet on the first street, 189 feet on the second street, and 178 feet on the third street. Approximate the ground area K covered by the building.
Answers
We have then:
A = root ((s) * (s-a) * (s-b) * (s-c))
Where,
s = (a + b + c) / 2
Substituting values:
s = (83 + 189 + 178) / 2
s = 225 feet
A = root ((225) * (225-83) * (225-189) * (225-178))
A = 7352.509776 feet ^ 2
Rounding off we have:
A = 7353 feet ^ 2
Answer:
The ground area K covered by the building is:
K = 7353 feet ^ 2
To approximate the ground area covered by the triangular building, we can use Heron's formula. The area ≈ 5884.88 square feet.
Explanation:To approximate the ground area covered by the triangular building, we can use Heron's formula. Heron's formula states that the area of a triangle can be calculated using the lengths of its three sides. The formula is:
Area = sqrt(s(s-a)(s-b)(s-c)), where s is the semiperimeter of the triangle and a, b, and c are the lengths of the sides.
First, we need to calculate the semiperimeter, which is half the sum of the lengths of the three sides:
s = (83 + 189 + 178) / 2 = 225
Using the given lengths of the sides, we can now calculate the area:
Area = sqrt(225(225-83)(225-189)(225-178))
Area ≈ 5884.88 square feet
What’s the point-slope form of a line with slope 2/5 that contains the point (-3,6)
Answers
Answer:
The equation of this line is y - 6 = 2/5(x + 3)
Step-by-step explanation:
To find this, start with the base form of point-slope form.
y - y1 = m(x - x1)
Now put the slope in for m and the two coordinates in for (x1, y1).
y - 6 = 2/5(x + 3)
a membership at a gym cost 15 dollars a person without a membership must pay 1.75 each time they go to the gym how many time will a person have to go to make the membership a better deal
Answers
NEED HELP ASAP I will give you Brainly
Can someone please help me with this??
(PLEASE USE THE PICTURES ABOVE)
And please do what it says.
Thanks soo much
thanks
Answers
For ax +by = c, you can solve for y to put the equation into slope-intercept form.
by = -ax +c . . . . . . subtract the x-term
y = (-a/b)x +c/b . .. divide by the coefficient of x
The slope is the x-coefficient, -a/b; the y-intercept is c/b. The function is an odd-degree polynomial function, so its domain and range are both "all real numbers."
2x+3y=18
Slope-intercept form: y = (-2/3)x +6
Domain: all real numbers
Range: all real numbers
Slope: -2/3
Y-intercept: 6
3x-4y > 16
Slope-intercept form: y < (3/4)x -4
Domain: all real numbers
Range: all real numbers
Slope: 3/4
Y-intercept: -4
_____
You will note that the inequality symbol in y < (3/4)x -4 is reversed from that in 3x -4y > 16. That is because in solving for y, we divided by -4. When you multiply or divide an inequality by a negative number, you must reverse the sense of the inequality.
2. Draw a right triangle with side lengths of 3, 4, and 5 units.
Answers
Answer:
My options for triangles
Please help me.......
Answers
Brendan has 33 coins in his pocket, all of which are dimes and quarters. if the total value of his change is 615 cents, how many dimes and how many quarters does he have?
Answers
Brendan has 14 dimes and 19 quarters.
Use a calculator to find the r-value of these data. Round the value to three decimal places.
Answers
It's calculated as
r = -108.2 / √((132.8)(90.8)) = -0.9853
Set your calculator to REG then LIN. Input the data as 5,19 then press M+. Continue doing this until the last data. To find r, press SHIFT then number 2 and look for r value. You can only follow this procedure if we have the same calculator. You can use an online calculator also in finding r. in socscistatistics (dot) com. Refer to the attached picture for the graph, values, and computation.
Answer:
i believe the answer is a.
Step-by-step explanation:
Maci has a family photograph with a width of 4 in and a height of 6 in. She wants to enlarge the photograph so that its width is 10 in. What will the height of the enlarged photograph be?
A. 13 in
B. 14 in
C. 12 in
D. 15 in
Answers
PLEASEEE HALPPPPPP >.<
two boats start at the same point and speed away along courses that form 110 degree angle. if one boat travels at 24 miles per hour and the other boat travels at 32 miles per hour. how far apart are the boats after 30 minutes?
A. 21 miles
B. 22 miles
C. 23 miles
D. 24 miles
E. 25 miles
Answers
You divide 2 into 32 and get 16, then you add 16 plus 14 subtract 9 and get 21
The distance between the boats after 30 minutes is approximately 23.04 miles. Option C
How to find the distance between the two boats after 30 minutesTo find the distance between the two boats after 30 minutes, use the law of cosines. Let's denote the distance between the boats as "d".
We know that one boat is traveling at 24 miles per hour, and the other boat is traveling at 32 miles per hour. In 30 minutes (or 0.5 hours), the first boat would have traveled 24 * 0.5 = 12 miles, and the second boat would have traveled 32 * 0.5 = 16 miles.
Now, applying the law of cosines:
[tex]d^2 = (12)^2 + (16)^2 - 2 * 12 * 16 * cos(110^o)[/tex]
Calculating the equation:
[tex]d^2 = 144 + 256 - 384 * cos(110^o)[/tex]
Now, evaluate cos(110°):
cos(110°) ≈ -0.34202
Substituting the value:
[tex]d^2[/tex] = 144 + 256 - 384 * (-0.34202)
[tex]d^2[/tex] = 144 + 256 + 131.23808
[tex]d^2[/tex] ≈ 531.23808
Taking the square root:
d ≈ 23.04
Therefore, the distance between the boats after 30 minutes is approximately 23.04 miles.
Rounded to the nearest whole number, the answer would be 23 miles (Option C).
Read on boats on https://brainly.com/question/27727388
#SPJ3
Laney is 4 ft 8 in tall there are 2.54 centimeters in one inch what is Laney's height in centimeters
Answers
[tex]56 \times 2.54 = 142.24[/tex]
Laney's height is about 142 cm
HELP! - Chloe must pick a 6-digit personal identification number for her bank card. Each digit must be between 0 and 9. Which expression represents the number of different combinations of 6-digit numbers she can create?
|
A: 6+10
B: 6x10
C: 10x10x10x10x10x10
D: 6x6x6x6x6x6x6x6x6x6
Answers
to find the number of combinations you would multiply the number pf digits to choose from (10) by the number of digits required (6)
so you would have 10 x 10 x 10 x 10 x 10 x 10
the answer would be C.
Answer: c
C: 10x10x10x10x10x10
Find the volume of the cylinder in terms of pi. (h = 6 and r = 3)
Thank you!
Answers
so the volume of this slanted cylinder is really the same volume as a right-circular one,
[tex]\bf \textit{volume of a right-circular cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\ -----\\ r=3\\ h=6 \end{cases}\implies V=\pi (3)^2(6)\implies V=54\pi [/tex]
Write p(x) = 21 + 24x + 6x2 in vertex form.
Answers
p(x) = 21 + 24x + 6x2 => p(x) = 6x2 + 24x + 21
Rewrite the first 2 terms as
6(x^2 + 4x)
then you have p(x) = 6(x2 + 4x ) + 21
Now complete the square of x^2 + 4x:
p(x) = 6(x^2 + 4x + 4 - 4) + 21
= 6(x+2)^2 - 24 + 21
p(x) = 6(x+2)^2 - 3 this is in vertex form now.
We can read off the coordinates of the vertex from this: (-2, -3)
Answer:
p(x) = 6(x+2)^2 - 3
Step-by-step explanation:
Can someone help me with these four questions? They're the pictures (including possible answers)
Answers
Start by drawing a dot on each y-coordinate of every given x value in the interval table (-13, -10, -5, -2, and 0). Then, for each interval, draw a straight line between the two y-coordinates of the two x-values given in the interval. So, for interval A, you would draw a straight line from f(-13) to f(-10). This line would have a steep downward slope; this means that the average rate of change over this interval is negative, or less than zero. A satisfies the question.
Interval B has a positive slope between the two y-coordinates, so it doesn’t satisfy the question. Interval C has a line with a slope of 0, but does satisfy the question because it’s asking for average changes less than or equal to zero.
The answer for this problem would be intervals A and C, the answer that is selected.
A residual plot is shown.
Which statements are true about the residual plot and the equation for the line of best fit for the data? Check all that apply.
1) The equation for the line of best fit is not a good approximation for the data because the points have a curved pattern.
2) The equation for the line of best fit is a good approximation for the data because the points are random, having no pattern.
3) The residual plot has a linear pattern.
4) The points of the residual plot are spread evenly above and below the x-axis.
5) The residual plot has the pattern of a curve.
6) The equation for the line of best fit is not a good approximation for the data because the points have a linear pattern.
Answers
The second one is not true because the point do not look random. they look like they might be a parabola
The third one is not a choice because plot does not have a linear (straight line) pattern. Linear means straight line.
The fourth one is not true. There is only 1 point below the x axis. The rest are above the x axis.
The 5th one is true.
The 6th one is not true. Those points do not have a straight line pattern.
Answer:
I didn't have that sixth option, but the correct answers are
1. (A.) The equation for the line of best fit is not a good approximation for the data because the points have a curved pattern.
and
5. (E.) The residual plot has the pattern of a curve.
Jacqueline is deciding between two mortgages for her new home. The first mortgage is an 80/20 mortgage with interest rates of 4.75 and 7.525%, respectively. The second mortgage is a 30-year mortgage with a 5.25% and a $58.30 monthly PMI. If the house price is $145,000, which mortgage payment will be lower initially, and by how much?
Answers
Final answer:
The initial payment for the first mortgage will be lower by $409.07.
Explanation:
To determine which mortgage payment will be lower initially and by how much, let's calculate the monthly payments for each option.
First Mortgage: 80/20 Mortgage
The first mortgage has two parts, with interest rates of 4.75% and 7.525% respectively. Assuming a house price of $145,000, the loan amount for the first part is 80% of $145,000 = $116,000, and the loan amount for the second part is 20% of $145,000 = $29,000.
Monthly payment for the first part: Principal * Monthly interest rate = $116,000 * (4.75% / 12) = $463.33
Monthly payment for the second part: Principal * Monthly interest rate = $29,000 * (7.525% / 12) = $183.23
Total monthly payment for the first mortgage: $463.33 + $183.23 = $646.56
Second Mortgage: 30-Year Mortgage with PMI
The second mortgage is a 30-year mortgage with an interest rate of 5.25% and a $58.30 monthly PMI.
Loan amount for the second mortgage: $145,000
Monthly payment for the second mortgage: Principal * Monthly interest rate + PMI = $145,000 * (5.25% / 12) + $58.30 = $1,055.63
Therefore, the initial payment for the first mortgage will be lower by $1,055.63 - $646.56 = $409.07.
Jacqueline's first mortgage option has a lower initial monthly payment of $808.04 compared to the second option's $859.69, making it $51.65 cheaper monthly.
Jacqueline is choosing between two mortgage options for a $145,000 house. Let's compare the monthly payments for each mortgage.
Option 1: 80/20 Mortgage
This option involves two loans: the first for 80% of the house price ($116,000) at 4.75%, and the second for 20% ($29,000) at 7.525%.
First loan monthly payment: Use the formula for the monthly payment on a mortgage:M = P[r[tex](1+r)^{n}[/tex]] / [[tex](1+r)^{n-1}[/tex]]
Where P is the loan amount, r is the monthly interest rate, and n is the number of payments.
P = $116,000, r = 4.75%/12 = 0.003958, n = 30*12 = 360First loan monthly payment: $606.69Second loan monthly payment: P = $29,000, r = 7.525%/12 = 0.006271, n = 30*12 = 360Second loan monthly payment: $201.35Total first option monthly payment: $606.69 + $201.35 = $808.04
Option 2: 30-year Mortgage
Total loan amount: $145,000, PMI = $58.30Calculate mortgage payment using the same formula: P = $145,000, r = 5.25%/12 = 0.004375, n = 30*12 = 360Monthly payment before PMI: $801.39Total second option monthly payment: $801.39 + $58.30 = $859.69Now, comparing the two, the first option has an initial monthly payment of $808.04, while the second option has an initial monthly payment of $859.69. So, the first mortgage payment is lower by $51.65.
One quadratic function has the formula h(x) = -x 2 + 4x - 2. Another quadratic function, g(x), has the graph shown below
Which option below best describes the maximums of these two functions?
Functions g and h have the same maximum of -2.
Functions g and h have the same maximum of 2.
Function h has the greater maximum of -2.
Function g has the greater maximum of 2.
Answers
Complete the square of h(x) = -x^2 + 4x - 2:
h(x) = -x^2 + 4x - 2 = -(x^2 - 4x) -2
= -(x^2 - 4x + 4 - 4) - 2
=-(x^2 - 4x + 4) -2+4
= -(x-2)^2 + 2 The equation describing this parabola is y=-(x-2)^2 + 2, from which we know that the maximum value is 2, reached when x = 2.
The 2 graphs have the same max, one at x = -2 and one at x = + 2.
Answer:
Functions g and h have the same maximum of 2.
Step-by-step explanation:
Confused, thanks.
Can you use a right triangle to represent the distance the distance between any two points on the coordinate plane? Explain.
Answers
Final answer:
A right triangle can represent the distance between two points on the coordinate plane using the Pythagorean theorem.
Explanation:
Yes, a right triangle can be used to represent the distance between any two points on the coordinate plane. By connecting the two points with a straight line, the path forms the hypotenuse of a right triangle, and the legs represent the distance along the x and y axes. Using the Pythagorean theorem, a² + b² = c², we can calculate the straight-line distance between the two points.
EXTRA POINTS
Find an equation, in slope-intercept form, that passes through point (1, 5) with slope 1.
Select one:
a. y = -x + 1
b. y = x + 4
c. y = -x + 4
d. y = x + 1
Answers
The given point is (x,y) = (1,5) which means x = 1 and y = 5 pair up together.
Plug the three pieces of info (m = 1, x = 1, y = 5) into the y = mx+b equation. Then solve for b
y = mx+b
y = 1*x + b ... replaced m with 1
5 = 1*1 + b .... replaced x with 1, replaced y with 5
5 = 1+b
1+b = 5
b+1 = 5
b+1-1 = 5-1
b = 4
Since m = 1 and b = 4, we know that y = mx+b turns into y = 1x+4 which simplifies to y = x+4
-----------------------------------------------------------------------------------
Answer: y = x+4
What is the greatest common factor of 73, 47, 74, and 79?
Answers
Two angles are complementary. The measure of the largest angle is two times the measure of the smaller angle. What is the measure of the larger angle?
Please help! :D
Answers
one of the angles is twice as large as the smaller one
let the larger angle be x, and the smaller = y
x = 2(y)
x + y = 90
Plug in 2y for x
2y + y = 90
simplify, combine like terms
2y + y = 90
3y = 90
isolate the y, divide 3 from both sides
3y/3 = 90/3
y = 90/3
y = 30
plug in 30 for y in the equation x + y = 90
x + (30) = 90
isolate the x, subtract 30 from both sides
x + 30 (-30) = 90 (-30)
x = 90 - 30
x = 60°
The measurement of the larger angle is 60°
hope this helps