Answer: 11,056.1
Step-by-step explanation: Because you have to add the first 7
Jerome has paid a total of [tex]\$195.54[/tex]rest over the 7 months.
To find the total amount that Jerome has paid in interest over the 7 months, we need to sum up the interest paid each month. The interest for each month is calculated as follows:
[tex]\[ \text{Interest for the month} = \text{Previous balance} \times \text{APR} / 12 \][/tex]
Let's calculate the interest for each month:
1. For the second month:
[tex]\[ \text{Interest} = \$2200.00 \times 0.18 / 12 = \$33.00 \][/tex]
2. For the third month:
[tex]\[ \text{Interest} = \$2189.00 \times 0.18 / 12 = \$32.84 \][/tex]
3. For the fourth month:
[tex]\[ \text{Interest} = \$2178.06 \times 0.18 / 12 = \$32.67 \][/tex]
4. For the fifth month:
[tex]\[ \text{Interest} = \$2167.16 \times 0.18 / 12 = \$32.51 \][/tex]
5. For the sixth month:
[tex]\[ \text{Interest} = \$2156.33 \times 0.18 / 12 = \$32.34 \][/tex]
6. For the seventh month:
[tex]\[ \text{Interest} = \$2145.55 \times 0.18 / 12 = \$32.18 \][/tex]
Now, sum up these monthly interest amounts:
[tex]\[ \$33.00 + \$32.84 + \$32.67 + \$32.51 + \$32.34 + \$32.18 = \$195.54 \][/tex]
So, Jerome has paid a total of [tex]\$195.54[/tex]rest over the 7 months.
Please answer the 3 questions above. SHOW YOUR WORK
If you don’t show your word or reply with stuff like “aldbaldbs” or “Idk the answer” I’ll report your account!
Answer:
1. A
2. (6, 0.7)
3.
[tex]10.99D \leq 90.01[/tex]
and
[tex]10.99D + 9.99 \leq 100[/tex]
Step-by-step explanation:
1.
The equation to solve is:
[tex]Ax+4Ax=51+2Ax[/tex]
The variable is "x", so we take all the terms with x's and take the number to one side. Then we add up the like terms of x's and solve for x. Shown below:
[tex]Ax+4Ax=51+2Ax\\Ax+4Ax-2Ax=51\\x(A+4A-2A)=51\\x(3A)=51\\x=\frac{51}{3A}\\x=\frac{17}{A}[/tex]
x = 17/A
Correct answer is A
2.
The equation is:
[tex]10y=3x-11[/tex]
The point that would lie on the graph is the point when put, makes the equation true. So we check each point and see if the equation holds:
[tex]10y=3x-11\\10(0.5)=3(2)-11\\5\neq -5[/tex]
first point doesn't lie on the graph.
[tex]10y=3x-11\\10(1)=3(4)-11\\10 \neq 1[/tex]
second point doesn't lie on the graph.
[tex]10y=3x-11\\10(0.7)=3(6)-11\\7=7[/tex]
This point lies on the graph. So, this is the answer.
Correct answer is (6, 0.7)
3.
Let Miguel buy D DVDs. Each costing 10.99, that would make the cost:
10.99D
Shipping cost entire order is 9.99, so this would be added to DVD cost. Total cost:
10.99D + 9.99
This total cost can be NO MORE THAN 100, so this expression would be equal to or less than 100, so we can write:
[tex]10.99D + 9.99 \leq 100[/tex]
If we take 9.99 to the right side and subtract, it becomes:
[tex]10.99D \leq 90.01[/tex]
First choice is correct.
Second choice, clearly, isn't correct.
Third choice, similarly, isn't correct as well.
Fourth choice, because of "+" sign on right side (of 9.99) is also incorrect.
Fifth choice is what we initially got, so this is correct.
First and Fifth Choice is right.
Out of 1,000 tickets in a raffle, one ticket will win a $710 prize. The rest will win nothing. If you have a ticket, what is the expected payoff?
Simplify the expression $416.48÷4= $104.12 please
Answer:
Step-by-step explanation:
Just do the long division and you'll find out.
Abby bought two slices of pizza and two bottles of water for $7.25 Cameron bought four slices of pizza and one bottle of water for $8.25 what is the solutionm
The solution is price of 1 slice of pizza is $ 1.542 and price of 1 bottle of water is $ 2.083
Solution:
Let "p" be the price of 1 slice of pizza
Let "b" be the price of 1 bottle of water
Given that Abby bought two slices of pizza and two bottles of water for $7.25
So we can frame a equation as:
two slices of pizza x price of 1 slice of pizza + two bottles of water x price of 1 bottle of water = $ 7.25
[tex]2 \times p + 2 \times b = 7.25[/tex]
2p + 2b = 7.25 ---- eqn 1
Also given that Cameron bought four slices of pizza and one bottle of water for $8.25
So we can frame a equation as:
four slices of pizza x price of 1 slice of pizza + one bottles of water x price of 1 bottle of water = $ 8.25
[tex]4 \times p + 1 \times b = 8.25[/tex]
4p + b = 8.25 ---- eqn 2
Let us solve eqn 1 and eqn 2 to find values of "p" and "b"
Multiply eqn 2 by 2
8p + 2b = 16.5 --- eqn 3
Subtract eqn 1 from eqn 3
8p + 2b = 16.5
2p + 2b = 7.25
(-) ----------------------
6p = 9.25
p = 1.542From eqn 1,
2p + 2b = 7.25
2(1.542) + 2b = 7.25
2b = 4.166
b = 2.083Thus price of 1 slice of pizza is $ 1.542 and price of 1 bottle of water is $ 2.083
1) Luis uses 1.6 liters of gasoline each hour he
spends mowing lawns. How much gas does he
use in 5.8 hours?
Answer:
9.28 Liters
Step-by-step explanation:
All we have to do is multiply the time by amount her time unit.
The sum of Ava’s and Grace’s age is 35. Ava is one year less than three times Grace’s age. How old is Grace?
Grace is 9 years old. We found this by setting up a system of equations with the information given and solving for Grace's age.
Explanation:We are given two pieces of information about Ava and Grace's ages:
The sum of Ava’s and Grace’s age is 35.Ava is one year less than three times Grace’s age.To find Grace’s age, we can set up a system of equations based on the information provided:
Let G represent Grace’s age.Let A represent Ava’s age.The first equation can be written as:
A + G = 35
From the second piece of information, we can write:
A = 3G - 1
Now, we can substitute the expression for A into the first equation:
3G - 1 + G = 35
Combine like terms:
4G - 1 = 35
Add 1 to both sides:
4G = 36
Divide by 4:
G = 9
So, Grace is 9 years old.
What is the domain of the given function?
{(3, -2), (6, 1), (-1, 4), (5, 9). (-4,0}}
{x|x = -4,-1, 3, 5, 6}
{yl y = -2,0, 1, 4, 9)
{x | x = -4,-2,-1, 0, 1, 3, 4, 5, 6, 9}
{yly= -4,-2,-1, 0, 1, 3, 4, 5, 6, 9)
Answer:
-4,-1,3,5,6
Step-by-step explanation:
The first set because domain is the set of elements giving values of x
Find x, y and z for the following triangle.
Please show the steps with details, Thanks!
Answer:
x = 100°
y = 125°
z = 55°
Step-by-step explanation:
A straight line is 180°
A triangle is 180°
Solve in this order:
X: 180 - 80 = 100
Z: 180 - 80 - 45 = 55
Y: 180 - 55 = 125
Factor the polynomial by its greatest common monomial factor.
44k^5-66k^4+77k^3
Answer:
11k^3 (4k^2 - 6k +7)
Step-by-step explanation:
Take out the obvious GCF of 11
11 (4k^5 - 6k^4 + 7k^3)
Take out the GCF of k^3 (from the terms in the parentheses)
11k^3 (4k^2 - 6k + 7)
.
Factor the polynomial by its greatest common monomial factor of 44k^5-66k^4+77k^3 is:
Take out the obvious GCF of 11
11 (4k^5 - 6k^4 + 7k^3)
Take out the GCF of k^3 (from the terms in the parentheses)
11k^3 (4k^2 - 6k + 7)
How do you find a monomial factor?
To find the greatest common factor (GCF) among monomials, take each monomial and write it as high factorization. Then, identify the factors commonplace to each monomial and multiply the commonplace elements collectively.
Steps to Factoring a Monomial from a Polynomial
determine the GCF of all terms within the polynomial.Write each term because of the product of the GCF and some other factor.Use the distributive property to issue out the GCF.Conclusion: factoring trivial factors greatest common factor high polynomials whole factorization big concept common monomial factoring is the procedure of writing a polynomial as a made from two polynomials, considered one of that's a monomial that elements each term of the polynomial.
Learn more about monomial here https://brainly.com/question/1692979
#SPJ2
Zachary can spend no more than $94 per day to rent a car. A car rents for $30 per day plus $0.20 per mile. Write an inequality for this situation. Graph the solutions on a number line. What does the graph show
Answer:
$124.20 miles all you gotta do is add them together
Step-by-step explanation:
Sally is solving the linear equation 13+4x-9=7x+7-3x. Her final two steps are 4+4x=4x+7 ,4=7 select the statement that correctly interprets Sally’s solution A: The solution is x=0 B: The solution is ordered pair (4.7). C: There is no solution since 4=7 is a false statement D: There are infinitely many solutions since 4=7 is a false statement
Answer:
C. there is no solution since 4=7 is a false statement
Linear equations are equations with a leading degree of 1. This shows that there is no solution since 4 =7 is a false statement
Solving linear equationLinear equations are equations with a leading degree of 1. Given the linear equation
Given
13+4x-9=7x+7-3x
Simplify
4 + 4x = 4x + 7
Collect the like terms
4x - 4x = 7 - 4
0x = 3
This shows that there is no solution since 4 =7 is a false statement
Learn more on linear equation here: https://brainly.com/question/1884491
Which of the following systems of inequalities has Point C as a solution?
A:
[tex]f(x)\leq 3x+4\\g(x)\leq -\frac{1}{2} x-5\\[/tex]
B:
[tex]f(x)\geq 3x+4\\g(x)\leq -\frac{1}{2} x-5[/tex]
C:
f(x) ≤ 3x + 4
[tex]g(x)\geq -\frac{1}{2}x-5[/tex]
D:
f(x) ≥ 3x + 4
[tex]g(x)\geq -\frac{1}{2} x-5[/tex]
Answer:
Option A.
[tex]f(x)\leq 3x+4[/tex]
[tex]g(x) \leq-\frac{1}{2}x-5[/tex]
Step-by-step explanation:
we know that
If point C is a solution of the system of inequalities, then point C must satisfy both inequalities
Point C is located below the solid line f(x) and below the solid line g(x)
so
The shaded region of the solution set of the system must be below of the inequality f(x) and must be below of the inequality g(x)
therefore
The system is
[tex]f(x)\leq 3x+4[/tex]
[tex]g(x) \leq-\frac{1}{2}x-5[/tex]
Answer:
B
Step-by-step explanation:
At the start of the month, Jodie had sold 885 copies of her new book. At the end of the month, she had sold 1,364 copies of her book. If each book profits $13.97, approximately how much did the book profit in the entire month?
Approximately $ 31419 profit is earned from selling books in entire month
Solution:
Given that Jodie had sold 885 copies of her new book
At the end of the month, she had sold 1,364 copies of her book
We have to determine the profit earned in the entire month
From given information,
Start of month sale = 885 copies
End of month sale = 1364 copies
Total copies of books sold = Start of month sold + end of month sold
Total copies of books sold = 885 + 1364 = 2249
Also given that each book profit is $ 13.97
Profit of 1 book = $ 13.97
Therefore for 2249 books, profit earned is given as:
Profit of 2249 books = $ 13.97 x 2249 = 31418.53
Therefore approximately $ 31419 profit is earned from selling books in entire month
What do the following two equations represent? 4x-2y=-5 and -2x+3y=-3
Choose 1 answer:
A) equal lines
B) parallel lines
C) perpendicular lines
D) none of the above
*40 points*
Answer:
Step-by-step explanation:
4x - 2y = -5
-2y = -4x - 5
y = 2x + 5/2.....slope here is 2
-2x + 3y = -3
3y = 2x - 3
y = 2/3x - 1.....slope here is 2/3
NONE OF THE ABOVE.....they are not the same line....they are not parallel because they dont have the same slope....they are not perpendicular because they do not have negative reciprocal slopes
Answer:
this would be none of the above.
Step-by-step explanation:
its not equal because when solving, x and y isnt the same for both equations.
i cant explain the rest, my apologies but if u use a website called *desmos* you can put up equations and itll graph them for you. :3
The solution to a system of linear equations is (-3,-3). Which system of linear equations has this point as its solution?
x-5y = -12 and 3x+2y = -15
OX-5y=-12 and 3x+2y = 15
x-5y = 12 and 3x+2y = - 15
X-5y = 12 and 3x + 2y = 15
Answer:
Option c) is correct.
That is x-5y=12 and 3x+2y=-15 are the system of linear equations satisfies the point (-3,3) so this is the solution.
Step-by-step explanation:
To verify that which system of linear equations having the solution (-3,-3)
Let [tex]x-5y=12\hfill (1)[/tex]
and [tex]3x+2y=-15\hfill (2)[/tex]
To solve it we have to use elimination method
First multiply the equation(1) into 3 we get
[tex]3x-15y=36\hfill (3)[/tex]
Now subtracting the equations (2)and (3) the signs may vary in the second equation we get
[tex]3x-15y=36[/tex]
[tex]-3x-2y=+15[/tex]
________________
[tex]-17y=51[/tex]
_______________
[tex]y=-\frac{51}{17}[/tex]
[tex]y=-3[/tex]
Now substitue the value y=-3 in equation (1) we get
[tex]x-5y=12[/tex]
[tex]x-5(-3)=12[/tex]
[tex]x=12-15[/tex]
Therefore x=-3
Therefore the solution is (-3,-3)
Therefore Option c) is correct.
That is x-5y=12 and 3x+2y=-15 are the system of linear equations satisfies the point (-3,3) so the solution is (-3,-3).
The expression above should be further simplified for which value of x?
Sq rt 215x
A) 35
B) 118
C) 34
D) 7
The expression √215x should be further simplified for (a) 35 as the value of x
How to determine the value of x
From the question, we have the following parameters that can be used in our computation:
√215x
Taking each value of x from the list of options, we have
√215x = √(215 * 35)
Expanding, we get
√215x = √(5 * 43 * 7 * 5)
This gives
√215x = 5√301
Next, we have
√215x = √(215 * 118)
Expanding, we get
√215x = √(5 * 43 * 2 * 59)
This gives
√215x = √(25370)
Next, we have
√215x = √(215 * 34)
Expanding, we get
√215x = √(5 * 43 * 2 * 17)
This gives
√215x = √7310
Next, we have
√215x = √(215 * 7)
Expanding, we get
√215x = √(5 * 43 * 7)
This gives
√215x = √1505
Hence, the value of x is 35
If you deposit $1,000 in an account that pays 6% annual interest compounded
continuously, what will the balance be after five years?
Answer:
I think it's $1,349.86
Answer:
It's $1,349.86
Step-by-step explanation:
(trust me bro)
A flower shop has 11 red roses seven pink roses nine white roses and three yellow roses in stock one type of roses Ramsey selected for a flower arrangement what Is the probability that the selected rose is red or yellow
Answer:
11/147
Step-by-step explanation:
11 + 7 + 3 = 21
chances of red = 11/21
and chances of yellow = 3/21
3/21 = 1/7
11/21 x 1/7 = 11/147
Answer:
14:30
Step-by-step explanation:
Okay so your looking for the probability of red or yellow roses so you would combine the numbers of red and yellow roses then add all the roses up together, all the red and yellow are 14 and there are 30 roses in the shop so the answer would be 14:30
f(x) = x2 + 3x + 4. Is it quadratic, linear, or neither
Answer:
Linear
Explanation:
The first image attached below is the problem graphed. That is a linear line.
The second image is an example of a quadratic line.
This is how you can tell the line is linear.
What is the remainder of 428/19. I know it equals 22, but what’s the remainder
Answer:
the remainder is 10
Step-by-step explanation:
Answer:
R=10
Step-by-step explanation:
1. 428/19=22
2. R=10
Steps for checking your work:
1. Multiply the divisor by the answer (aka quotient)
2. After that, add the remainder to the answer you got from doing step 1 for checking your work (aka proudct, since you multiplied)
A truck carries apples, grapes, and blackberries in the ratio of 4:3:4 if the apple weighs 160 pounds how much does the truckload of fruit weigh in total
Answer:
160/x = 4/3
x = (160/4)(3) = 40(3) = 120
Apples: 160 pounds
Grapes: 120 pounds
Blackberries: 160 pounds
The total weight of this truckload of fruit is 160 + 120 + 160 = 440 pounds.
To find the total weight of the truckload of fruit with apples weighing 160 pounds in a ratio of 4:3:4, calculate the total ratio parts and apply it to the weight of apples. The total weight of the fruit is 440 pounds.
Explanation:The truck carries apples, grapes, and blackberries in the ratio of 4:3:4.
To find the total weight, you need to calculate the total ratio parts, which is 4 + 3 + 4 = 11 parts. Then, for apples alone, 4 parts represent 160 pounds, so each part is 160/4 = 40 pounds. The total weight of the truckload of fruit would be 11 parts * 40 pounds = 440 pounds.
Learn more about Calculating total weight of mixed fruit here:https://brainly.com/question/33213802
#SPJ11
Which choice is the most efficient first step to solve this set of equations?
Answer:
Option b) is correct
3x+4(2x+4)=17 Substitute (2x+4) for y in the second equation
Step-by-step explanation:
Given Equations are
[tex]y=2x+4\hfill (1)[/tex] and [tex]3x+4y=17\hfill (2)[/tex]
To solve the given equations we have to find the value of
x and y values.
Here y value is given so that we can substitute y=3x+4 value in second equation
ie., Substitute equation (1) in (2) equation we can easily get x value.
Therefore substitute (2x+4) for y in the second equation we get
3x+4(2x+4)=17
Option b) is correct
The audience thinks %30 percent of Brandon's jokes are funny.
What fraction of Brandon's jokes does the audience think are funny?
Answer:
Fraction of jokes of Brandon that are funny = [tex]\frac{3}{10}[/tex]
Step-by-step explanation:
We are given that, 30% of the Brandon's jokes are funny.
Now, to convert percent into fraction, we will multiply it by [tex]\frac{1}{100}[/tex]
Now,
[tex]30\%=30\times\frac{1}{100}=\frac{30}{100} = \frac{3}{10}[/tex]
∴ [tex]\frac{3}{10}[/tex] of the Brandon's jokes were funny.
The isosceles trapezoid is part of an
isosceles triangle with a 46° vertex angle.
Enter the measure of an acute base angle of
the trapezoid.
Final answer:
Using the properties of isosceles triangles, the acute base angle of the isosceles trapezoid, which is part of an isosceles triangle with a 46° vertex angle, is found to be 67°.
Explanation:
To find the measure of an acute base angle of the isosceles trapezoid that is part of an isosceles triangle with a 46° vertex angle, we can apply the properties of isosceles triangles. By the Isosceles Triangle Theorem, we know that the angles opposite the equal sides are equal.
Since the given triangle is isosceles, the two base angles must also be equal. Additionally, we know that the sum of all angles in any triangle is 180°.
Let's call each of the base angles B. Then, the sum of all angles in the triangle is:
46° + B + B = 180°
Now we solve for B:
2B = 180° - 46° = 134°
B = 134° / 2 = 67°
Thus, each base angle of the isosceles triangle is 67°. Next, considering the isosceles trapezoid, we know the adjacent angles must be supplementary because they are on the same line. This means that one base angle of the isosceles trapezoid equals:
180° - 67° = 113°
However, since the student is looking for the measure of an acute base angle of the trapezoid and 113° is an obtuse angle, the acute base angle is the original 67° angle that we found. This is because the acute and obtuse angles in the trapezoid are adjacent angles around the same vertex, and the acute angle is the angle that's interior to the triangle.
Therefore, the measure of an acute base angle of the trapezoid is 67°.
4 - (-8) =
What is the answer
Answer:
12
Step-by-step explanation:
When you subtract a negative number, the two negatives make a plus sign.
4 - (-8)
= 4 + 8
= 12
Subtract the following.Write your answer in standard notation. 15 - 1.3 * 10^-3
Answer:
The Final Answer would be 14.9987.
Step-by-step explanation:
Given:
[tex]15-1.3\times 10^-3[/tex]
We need to Subtract the above number.
Since the larger number is standard Notation form and smaller number is in Scientific notation form
So first we will convert the Scientific notation Number in standard Notation form we get;
[tex]1.3\times 10^-3 = 0.0013[/tex]
Now Subtracting the smaller Number from larger number we get;
[tex]15-0.0013 = 14.9987[/tex]
Hence The Final Answer would be 14.9987.
solve the equation -t = 9(t-10)−t=9(t−10)
Answer:
Infinitely many solutions.
Step-by-step explanation:
-t=9(t-10)-t=9(t-10)
-t=9t-90-t=9t-90
-t=8t-90=9t-90
8t-(-t)-90=9t-90
8t+t-90=9t-90
9t-90=9t-90
Answer:
If you mean −t=9(t−10), then the answer is 9, if you mean −t=9(t−10)−t=9(t−10) then infinite solutions.
Step-by-step explanation:
Here is the answer if you mean −t=9(t−10):
−t = 9 (t−10)
Simplify the equation.
-t = (9)(t) + (9)(-10)
-t = 9t + -90 (Add the opposite)
-t = 9t - 90
Subtract -9t
-t -9t = 9t - 90 - 9t
-10t = - 90
Divide -10 on both sides to make sure the equation is balanced on both sides. And to isolate t to get the final answer.
-10t = -90
-10t = -10
Therefore,
t = 9Is the final answer.
I Hope this helps! Have a great rest of your morning, afternoon, or evening! :D
What is 2y=4x-2/5 in standard form
Answer:
4x-2y=2/5
Step-by-step explanation:
2y=4x-2/5
4x-2y=2/5
Which of the ordered pairs in the form X, Y is a solution of this equation
Answer:
The first is a solution, but the second is not
Step-by-step explanation:
we know that
If a ordered pair is a solution of a linear equation, then the ordered pair must satisfy the linear equation (makes the equation true)
we have
[tex]5x-\frac{y}{3}=13[/tex]
Verify the first ordered pair
Part a) we have (2,-9)
For x=2, y=-9
substitute in the linear equation
[tex]5(2)-\frac{(-9)}{3}=13[/tex]
[tex]10-(-3)=13[/tex]
[tex]10+3=13[/tex]
[tex]13=13[/tex] ----> is true
so
The ordered pair satisfy the equation
The ordered pair is a solution of the equation
Verify the second ordered pair
Part b) we have (3,-6)
For x=3, y=-6
substitute in the linear equation
[tex]5(3)-\frac{(-6)}{3}=13[/tex]
[tex]15-(-2)=13[/tex]
[tex]15+2=13[/tex]
[tex]17=13[/tex] ----> is not true
so
The ordered pair not satisfy the equation
The ordered pair is not a solution of the equation
5) Linda picked a basket of apples. She gave half of the apples to a neighbor, then 10 apples to her mother, then half of the remaining apples to her best friend, and she kept the remaining 3 apples for herself. How many apples did she start with in the basket?
I need help this is due this Wednesday on my college math class! ASAP!!! This needs to be shown full work for full credit!!
Answer:
is it 8 apples to her mother or 10 since I had this exact problem?
Step-by-step explanation:
Ashe started with 32 apples in the basket initially.
How to find half of something ?To find the half of something just multiply 1/2 with the given value.
According to the given question Linda picked a basket of apples.
Assuming she had x apples initially.
She gave half of the apples to the neighbour,Therefore she now has (x - 1/2x) apples which is = 1/2x apples.
Then she gave 10 to her mother,So the remaining apples she has now is
= ( 1/2x - 10 ) apples
= (x - 20)/2.
Then she gave half of the apples to her best friend so the no. of apples she has now is (x - 20)/2×1/2 which is = (x - 20)/4 and she kept the remaining 3.
∴ (x - 20)/4 = 3
x - 20 = 12
x =32.
learn more about these type of problems here :
https://brainly.com/question/24232390
#SPJ2