Answer:
Therefore, the approximate monthly payment is $548.85
Step-by-step explanation:
The amount of student loans Erica currently has = $34,006.00
The duration over which Erica is to pay back the loan = 7 years
The annual interest rate for the loan = 9.1%
Therefore, we have the geometric sequence formula is given as follows;
[tex]A_n = P( 1 + r)^n - M \times \left [ \dfrac{(1 + r)^n-1}{r} \right ][/tex]
Where;
M = The monthly payment
P = The initial loan balance = $34,006.00
r = The annual interest rate = 9.1%
n = The number of monthly payment = 7 × 12 = 84
Aₙ = The amount remaining= 0 at the end of the given time for payment
Substituting the values into the above formula, , we get;
[tex]0 = 34006 \times \left ( 1 + \dfrac{0.091}{12} \right )^{84} - M \times \left [ \dfrac{\left (1 + \dfrac{0.091}{12} \right )^{84}-1}{\dfrac{0.091}{12} } \right ][/tex]
[tex]M = \dfrac{34006 \times \left ( 1 + \dfrac{0.091}{12} \right )^{84} }{\left [ \dfrac{\left (1 + \dfrac{0.091}{12} \right )^{84}-1}{\dfrac{0.091}{12} } \right ]} \approx 548.85[/tex]
Therefore, the approximate monthly payment = $548.85
If the equation is further simplified, which equation for a parabola does it become? x2 = 4py x2 = 2y2 2p2 y2 = 4px y2 = 4py.
The equation for a parabola does become [tex]\rm x^2=4py[/tex].
What is parabola?A symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity follows a curve of this shape.
Given
The derivation for the equation of a parabola with a vertex at the oriin.
The equation of the parabola can be written as;
[tex]\rm (x)^2 + (y - p)^2 = (0)2 + (y + p)2\\\\x^2 + y^2 - 2py + p^2 = y^2 + 2py + p^2\\\\ x^2= 2py+2py\\ \rm \\x^2=4py[/tex]
Hence, the equation for a parabola does become [tex]\rm x^2=4py[/tex].
To know more about parabola click the link given below.
https://brainly.com/question/3719015
The measures of the angles of a triangle are shown in the figure below solve for x
Answer:
X=6°
Step-by-step explanation:
Here, 4x+3+63+90=180 [sum of interior angles of a triangle is 180°]
or, 4x+156=180
or, 4x=180-156
or, 4x=24
or, X=24/4
Hence, x= 6°
In the number 7^3, what is the base?
Answer:
base -7(exponent is 3)
Step-by-step explanation:
Alma borrows money from her mom to buy a $150 bike. She gives her mom $40 at the time of purchase and continues to pay her $10 each month until the bike is paid for in full. Alma wrote this equation to represent the amount y that she will have paid her mom after x months.Equation:y 5 40x 1 10Is her equation correct? How did she get that equation? If it is not correct, write a correct equation.
Given:
Total amount of bike = $150
Alma gives her mom $40 at the time of purchase and continues to pay her $10 each month until the bike is paid for in full.
Alma's equation: [tex]y=40x+10[/tex]
To find:
Whether her equation is correct or not.
Solution:
Let y be the amount that she will have paid her mom after x months.
She pays $10 each month.
She will $10x in x months.
Initially she gives $40 to her mom at the time of purchase. So, total amount she pays after x months is
Total amount [tex]=40+10x[/tex]
Since, y represents the amount that she will have paid her mom after x months, therefore
[tex]y=40+10x[/tex]
Alma multiply the variable x with 40 instead of 10.
Hence, Alma is incorrect and the correct equation is [tex]y=40+10x[/tex].
A trapezoid has sides of length 8 miles, 3 miles, 8 miles, and 5 miles. What is the perimeter?
Step-by-step explanation:
perimeter= sum of all sides
= 8+3+8+5
=24
Name the most pythagorean triplets you can
1. 3, 4, 5
2. 5, 12, 13
3. 7, 24, 25
4. 8, 15, 17
5. 9, 40, 41
6. 11, 60, 61
And so on...
Does this graph represent a function? Why or why not?
TO
-10884
10
8
-104
A. Yes, because it has two straight lines.
B. Yes, because it passes the vertical line test.
O C. No, because it is not a curve.
D. No, because it fails the vertical line test.
Answer:
D. No, because it fails the vertical line test
Step-by-step explanation:
A function can only have 1 output for each input. If you are able to draw a vertical line and it touches the graph twice, then it has failed the vertical line test and is therefore not a function.
Hope this helps~! Brainliest is appreciated if it does!
Solve the following system of Equations in any method you choose.
3x - y = 7
2x + y = 8
Answer:
x=3 and y=2
Step-by-step explanation:
Rewrite equations:
3x−y=7;2x+y=8
Step: Solve3x−y=7for y:
3x−y=7
3x−y+−3x=7+−3x(Add -3x to both sides)
−y=−3x+7
−y
−1
=
−3x+7
−1
(Divide both sides by -1)
y=3x−7
Step: Substitute 3x−7 for y in 2x+y=8:
2x+y=8
2x+3x−7=8
5x−7=8 (Simplify both sides of the equation)
5x−7+7=8+7 (Add 7 to both sides)
5x=15
5x5
=
15/5
(Divide both sides by 5)
x=3
Step: Substitute 3 for x in y=3x−7:
y=3x−7
y=(3)(3)−7
y=2(Simplify both sides of the equation)
Kayla buys a shirt for 18. 9 she pays with a $10 bill homw much change should she reseive
Answer:
none
Step-by-step explanation:
Kayla is buying an $18.90 shirt for $10, she is underpaying $8.90.
Therefore, she needs to pay another $8.90 to pay for the full price of the shirt.
Unless there was a discount on the shirt, this answer makes the most sense to me.
Please help me with this
*) 3. Write the equation in slope-intercept form of the line that passes through the points (5, 4) and (-1, 6). I
Answer:
3y = -x + 17
Step-by-step explanation:
Equation of a line is in the form:
y = mx + c
where m is slope and c is intercept
Mathematically;
slope m = (y2-y1)/(x2-x1)
= (6-4)/(-1-5) = 2/-6 = -1/3
So the equation is now;
y = -x/3 + c
Multiply through by 3
3y = -x + 3c
To get c substitute the value of a point say (5,4)
x = 5 and y = 4
3(4) = -5 + 3c
12 = -5 + 3c
12+ 5 = 3c
3c = 17
c = 17/3
So the equation is
y = -x/3 + 17/3
and that is
3y = -x + 17
What is the solution to the inequality?
Express yourself in interval notation.
Answer:
[tex]\begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \frac{20}{23}\:\\ \:\mathrm{Decimal:}&\:x\ge \:0.86956\dots \\ \:\mathrm{Interval\:Notation:}&\:[\frac{20}{23},\:\infty \:)\end{bmatrix}[/tex]
Step-by-step explanation:
[tex]-\frac{2}{3}\left(2x-\frac{1}{2}\right)\le \frac{1}{5}x-1[/tex]
Expand [tex]-\frac{2}{3}\left(2x-\frac{1}{2}\right)\le \frac{1}{5}x-1[/tex] [tex]-\frac{4}{3}x+\frac{1}{3}[/tex]
[tex]-\frac{4}{3}x+\frac{1}{3}\le \frac{1}{5}x-1[/tex]
[tex]\mathrm{Subtract\:}\frac{1}{3}\mathrm{\:from\:both\:sides}[/tex]
[tex]-\frac{4}{3}x+\frac{1}{3}-\frac{1}{3}\le \frac{1}{5}x-1-\frac{1}{3}[/tex]
[tex]Simplify[/tex]
[tex]-\frac{4}{3}x\le \:-\frac{4}{3}+\frac{1}{5}x[/tex]
[tex]\mathrm{Subtract\:}\frac{1}{5}x\mathrm{\:from\:both\:sides}[/tex]
[tex]-\frac{4}{3}x-\frac{1}{5}x\le \:-\frac{4}{3}+\frac{1}{5}x-\frac{1}{5}x[/tex]
[tex]Simplify[/tex]
[tex]-\frac{23}{15}x\le \:-\frac{4}{3}[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}[/tex]
[tex]\left(-\frac{23}{15}x\right)\left(-1\right)\ge \left(-\frac{4}{3}\right)\left(-1\right)[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]\frac{23}{15}x\ge \frac{4}{3}[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}15[/tex]
[tex]15\cdot \frac{23}{15}x\ge \frac{4\cdot \:15}{3}[/tex]
[tex]Simplify[/tex]
[tex]23x\ge \:20[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}23[/tex]
[tex]\frac{23x}{23}\ge \frac{20}{23}[/tex]
[tex]\mathrm{Simplify}[/tex]
Hence the final answer is [tex]\begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \frac{20}{23}\:\\ \:\mathrm{Decimal:}&\:x\ge \:0.86956\dots \\ \:\mathrm{Interval\:Notation:}&\:[\frac{20}{23},\:\infty \:)\end{bmatrix}[/tex]
Anyone can figure this out
Answer:
... there's nothing there. you forgot to attach something i believe
Step-by-step explanation:
solve 2x^2+x-6=0
1. {-3/2, 2}
2. {}
3. {-2, 3/2}
Answer:
3. {-2, 3/2}
Step-by-step explanation:
[tex]\mathrm{Solve\;with\;the\;quadratic\;formula}[/tex]
[tex]x_{1,\:2}=\frac{-1\pm \sqrt{1^2-4\cdot \:2\left(-6\right)}}{2\cdot \:2}[/tex]
[tex]\sqrt{a^1-4*2(-6)=7}[/tex]
[tex]x_{1,\:2}=\frac{-1\pm \:7}{2\cdot \:2}[/tex]
[tex]\mathrm{Separate\:the\:solutions}[/tex]
[tex]x_1=\frac{-1+7}{2\cdot \:2},\:x_2=\frac{-1-7}{2\cdot \:2}[/tex]
[tex]x=\frac{-1+7}{2*2}:\frac{3}{2}[/tex]
[tex]x=\frac{-1+7}{2*2}:-2[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}[/tex]
[tex]x=\frac{3}{2},\:x=-2[/tex]
~Learn with Lenvy~
Answer:
Step-by-step explanation:
answer- {-2, 3/2}
steps are in the image.
A curve has equation y x = + 2 5 y and a line has equation 2 5 x y + = 1.
The curve and the line intersect at the points A and B. Find the coordinates of the mid-point
of the line AB.
Answer:
Watch DIm
Step-by-step explanation:
Watch dim channel
Search up dim channel
He has 24 subs
Or nearly 24 subs
and please sub him
Amber’s meal costs $14.50 at a local restaurant. The server did their job very well and Philip would like to leave a 20% tip. What amount of money should he leave as a tip?
Answer:
Total cost is $17.40
Step-by-step explanation:
First..
what is 20%
20/100 = .2 or calculator
Then
Add. .20 ×14.50
you will get 2.9
Final
Add 2.9 + $14.50
= $17.40
It took Jaytree 38 seconds to rip about half a DVD.
About what is Jaytree's "ripping rate” in DVDs per
minute?
Answer:1
Step-by-step explanation:
1.6 is what percent of 5?
Answer:
32%
Step-by-step explanation:
There are two jars once I contains two red gumballs three green gumballs and one yellow gumball. The other jar contains two blue balloons in three purple balloons. Jeff randomly draws one gumball and then one balloon what is the probability will get one red gumball and one blue balloon
Answer:
P(1 red gumball and 1 blue balloon) =[tex]\frac{2}{15}[/tex]
Step-by-step explanation:
There are two jars.
One jar has 2 red, 3 green and 1 yellow gumball.So, there are 2+3+1=6 gumballs.
Another jar has 2 blue and 3 purple balloons. Totally there are 2+3=5 balloons.
So,
Probability of drawing 1 red gumball from jar 1 =[tex]\frac{2}{6}[/tex]
Probability of drawing 1 blue balloon =[tex]\frac{2}{5}[/tex]
So, P( 1 red gumball, 1 blue balloon)= [tex]\frac{2}{6} *\frac{2}{5} =\frac{2}{15}[/tex]
Which of the following is a way that anorexia nervosa is different from bulimia nervosa?.
One key difference between anorexia nervosa and bulimia is the type of nocive relationship patients with these disorders have with food.
What do anorexia nervosa and bulimia have in common?These two are eating disorders, which means they are diseases that involve nocive or abnormal relationships with food.
What makes these disorders different?Anorexia nervosa patients avoid eating, while bulimia patients eat but use purges such as induced vomit to avoid gaining weight.Patients from anorexia nervosa often have a low weight, while a patient from bulimia can still have a normal weight.Binge eating is common in bulimia but not in anorexia nervosa.Learn more about anorexia in: https://brainly.com/question/2681827
Anna, Irina, Avel, and Vlad are going on a road trip. The following table shows an incomplete probability model for who will be driving during any given kilometer.
Person Probability
Anna \dfrac18
8
1
start fraction, 1, divided by, 8, end fraction
Irina \dfrac38
8
3
start fraction, 3, divided by, 8, end fraction
Avel ??question mark
Vlad \dfrac18
8
1
start fraction, 1, divided by, 8, end fraction
What is the probability that Avel will be driving during any given kilometer?
Choose 1 answer:
Answer:
The answer is 3/8.
Step-by-step explanation:
I watched it on khan academy. im just unsure how to explain it. Lol but im 100% sure it is 3/8. Have a nice day hope this helped! :3
A real estate agent is trying to find the average credit score of some of her clients. She compiled the scores in the table below. What is the mean credit score in this group? (Round to the nearest whole point, if applicable. ) 787 615 550 674 784 773 620 720 704 a. 668 b. 784 c. 692 d. 704 Please select the best answer from the choices provided A B C D.
Answer:
Step-by-step explanation:
First Add the scores.
Score Total = 787 + 615 + 550 + 674 + 784+ 773 + 620 + 720 + 704
Score Total = 6227
Now divide by the number of members of the sum.
Number of members = 9
The average score = Total Score / number of members
The average score = 6227 / 9 = 691.9
The average score = 692 which is C
Complete the table below. Show all your work. ILL PUT YOU AS BRAINLIEST PLSSS
Answer:
See below.
Step-by-step explanation:
y=2x+3
-----
y=2(-2)+3
y=-4+3
y=-1
y=2(-1)+3
y=-2+3
y=1
y=2(0)+3
y=0+3
y=3
y=2(1)+3
y=2+3
y=5
y=2(2)+3
y=4+3
y=7
-hope it helps
it says solve for x pls help i’m marking brainliest!!!!
Answer:
x= 9
Step-by-step explanation:
i got 9 by subtracting 54-45 and got 9 therefore x=9
What is a Integers and explain some examples
An integer is any whole number, no fractions or decimals
Some examples are: 1, 6, -8, -4, 9
vivi is a drummer for a band. she burns 756 calories while drumming for 3 hours. she burns the same number of calories each hour how many calories does vivi burn per hour
Answer:
252 cph
Step-by-step explanation:
756 divide by 3 is 252
Answer:252
Step-by-step explanation:
Are Lines DE and GH Congruent?
Answer:
No
Step-by-step explanation:
This time I did the work on paper lol
( -6p - 8 ) - ( 2p - 6 ) plz :)
Answer:
-8p-14
Step-by-step explanation:
answer in fraction: 14 7/27
Answer:
385/27
Step-by-step explanation:
Find the equation in slope-intercept form of a line through (2, 4) with slope 0. Oy=2 Ox=2 Oy=4 0 x = 4