Ed walsh wanted to purchase a used car. He obtained a 6,700 installment loan at an APR of 6%. He must repay the loan in 2 years. Find the monthly payment, the total amount repaid, and the finance charge.
Answer:
$519.43
Step-by-step explanation:
bc it is
The hanger image below represents a balanced equation.
30
26
g
Find the value of g that makes the equation true.
g=
How many solutions does this system have?
->
2x-3y = 10
-4x+6y=-20
one
two
an infinite number
no solution
Answer: I think there is only one
Step-by-step explanation:
Answer:
an infinite number
Step-by-step explanation:
Let's solve for y for both equations.
[tex]2x-3y=10\\-3y=10-2x\\y=\frac{2}{3}x-\frac{10}{3}[/tex]
[tex]-4x+6y=-20\\6y=4x-20\\y=\frac{4}{6} x-\frac{20}{6}[/tex]
By reducing fractions we get:
[tex]y=\frac{2}{3}x- \frac{10}{3}[/tex]
These two equations are EXACTLY the same.
Therefore, this system has an infinite number amount of solutions.
Using desmos graphing calculator, you can't see both lines because they're exactly the same line.
a school paid $31.50 for each calculator, if the school spent 504 dollars on calculators how many did the school buy?
A student is playing a number game and starts with number -15
• You order 4 chicken sandwiches and a hamburger. The cost of a hamburger is $2.50 and the total bill is $14.30. Find the cost of a chicken sandwich
needs to be in
Verbal Model:
and
Algebraic Equation:
Plz I NEED ANSWER ASAP IF U ANSWER I GIVE BRAINLIEST
Answer:
$2.95
Step-by-step explanation:
$14.30 - $2.50 = $11.80
$11.80/4 = $2.95 for a chicken sandwhich
Azim wants to buy a tablet computer that is priced 180.50 if the sales tax rate on the computer is 8% how many dollars and cents will Azim spend on the sales tax only
Answer: 98.1%
Explanation:
A 10% sale means that the post-sale price of the item is now 90%, or 0.9 of the original cost of the item. We then apply 9% sales tax by multiplying the 0.9 by 109%, or 1.09. 0.9 * 1.09 = .981, so the total cost of the item is 98.1% of the original pre-sale sticker price.
For percentage problems that do not deal with a specific starting number, it is always helpful to plug in 100 for the starting number. Here, we would then have a post-sale price of 90 dollars, and if we calculate the sales tax for the 90-dollar item it would be 90 * 0.09 = $8.10. THis gives us a total cost of 90 + 8.10 = $98.10, or 98.1% of the original 100-dollar price.
What value of x makes this equation true?
2 (3x – 8) = 2 (7x + 2)
Answer:
I think the answer to this question or (x) is -2.5 .
25 divided by the difference of 12 and 7
Answer:
5
Step-by-step explanation:
25 / ( 12-7) = 25 / 5 = 5
I hope im right!!
z=-5x(x-20) solve for x
Step-by-step explanation:
there is no solution
There are 12 counters. One third of the counters are yellow. How many counters are yellow?
Answer:
I think 4
Step-by-step explanation:
1/3 is how many are yellow. so if u do 12/3=4
Answer:
4
Step-by-step explanation:
1/3 is equivalent to 4×1 and 2/3 is equivalent to 4×2 and 3/3 is equivalent to 4×3 which equals 12 so there are 4 counters that are yellow.
A rock is thrown upward from the top of a high cliff overlooking the ocean at a speed of 96 feet per second . The rock's height above ocean can be modeled by the equation H(t) = - 16t ^ 2 + 96t + 112 . How long will it take seconds for the rock to hit the ocean? Do not include units in your answer.
Answer:
7
Step-by-step explanation:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
[tex]ax^{2} + bx + c, a\neq0[/tex].
This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:
[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]
[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]
[tex]\Delta = b^{2} - 4ac[/tex]
In this question:
The height of the rock after t seconds is given by the following equation:
[tex]H(t) = -16t^2 + 96t + 112[/tex]
How long will it take in seconds for the rock to hit the ocean?
This is t for which:
[tex]H(t) = 0[/tex]
So
[tex]-16t^2 + 96t + 112 = 0[/tex]
Simplifying by -16
[tex]t^2 - 6t - 7 = 0[/tex]
So a quadratic equation with [tex]a = 1, b = -6, c = -7[/tex]
[tex]\Delta = b^{2} - 4ac = (-6)^2 - 4*1*(-7) = 36 + 28 = 64[/tex]
[tex]t_{1} = \frac{-(-6) + \sqrt{64}}{2*1} = 7[/tex]
[tex]t_{2} = \frac{-(-6) - \sqrt{64}}{2*1} = -1[/tex]
Since time is a positive measure, it will take 6 seconds for the rock to hit the ocean, and the answer is 7.
Find the least number which when divided by 12 and 16 leaves the reminder 3 and 7 respectively. Plzz help in this question
==============================================
Explanation:
Let n be the number we want to find. We want n to be as small as possible, but also be a positive integer. Intuitively, we can see that n cannot be smaller than 16; otherwise, we don't meet the remainder requirements.
Divide n over 12 and we get some quotient x and remainder 3
So,
n/12 = (quotient) + (remainder)/12
n/12 = x + 3/12
Multiply both sides by 12 to end up with
n = 12x + 3
Similarly, if we divide over 16 we get some other quotient y and remainder 7
n/16 = y + 7/16
which turns into
n = 16y + 7
after multiplying both sides by 16
-----------
We have these two equations
n = 12x+3n = 16y+7Apply substitution and do a bit of rearranging like so
12x+3 = 16y+7
12x-16y = 7-3
4(3x-4y) = 4
3x-4y = 4/4
3x-4y = 1
The goal from here is to find the smallest positive integers x and y that make that equation true. We have a few options here and they are
Guess and check: We have a small sample size to work with so it shouldn't take too long. Make a table of xy values where you have x along the top row and y along the left column. Then plug each x,y pair into the equation above to see if you get a true statement or not. Again, keep in mind that x and y are positive integers. Graphing: Graph the line 3x-4y = 1, which is the same as y = (3/4)x - 1/4 and note where the line lands on a lattice point. Focus on the upper right quadrant of the graph. This quadrant is above the x axis and to the right of the y axis.Extended Euclidean Algorithm: This method is the most efficient, but it's only useful if your teacher has gone over it.Whichever method you use, you should find that (x,y) = (3,2) is the point we want.
Note how:
3x-4y = 1
3(3)-4(2) = 1
9-8 = 1
1 = 1
So that verifies (3,2) is on the line 3x-4y = 1.
Because x = 3 and y = 2, we know that
n = 12x + 3
n = 12*3 + 3
n = 39
and we can see that
n = 16y + 7
n = 16*2 + 7
n = 39
So 39 is the smallest such integer such that when we divide it over 12 and 16, we get remainders 3 and 7 respectively.
Here's a quick verification that we've fit the requirements.
39/12 = 3 remainder 3
39/16 = 2 remainder 7
We know we hit the smallest value of n because (x,y) was made to be the smallest positive integer solution to 3x-4y = 1. There are infinitely many positive integer (x,y) solutions to 3x-4y = 1, which in turn means there are infinitely many numbers n that satisfy the remainder conditions (but n is not the smallest possible in those cases).
b) A first-time house buyer can make 240 monthly payments of £675 to repay the mortgage. How many monthly payments are required if she can pay £600 per month?
(will mark brainliest!!)
Answer:
the one with Heidy is the 3 one
the 6th one is E
Step-by-step explanation:
HELP! WILL GIVE BRANLIEST! + EXTRA POINTS!
Answer:
707 bags of sand
Step-by-step explanation:
To find the area all you have to do is add 40+5+5=50 then you split that in half to get the radius. The you use the area formula to get the entire shape and the get the radius of the smaller circle. Then, you subtract the small circle from the big circle to get the amount of sand needed. When you do that you should get 706.86 but since you need a whole number you would round up to 707
Find the distance between the points (-3, 4) and (-3, -5).
Answer:
[tex]\displaystyle d = 9[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (-3, 4)
Point (-3, -5)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(-3+3)^2+(-5 - 4)^2}[/tex][Distance] [√Radical] (Parenthesis) Add/Subtract: [tex]\displaystyle d = \sqrt{(0)^2+(-9)^2}[/tex][Distance] [√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{81}[/tex][Distance] [√Radical] Evaluate: [tex]\displaystyle d = 9[/tex]Nayla delivers 63 magazines on Saturday and 72 magazines on Sunday. She makes bundles of 9 magazines for each of her delivery routes. How many delivery routes does Nayla have on Saturday and Sunday?
Answer:
14
Step-by-step explanation:
9*6=63
9*8=72
6+8=14
what is the square root of 25? =7
Answer: 625
Step-by-step explanation:
In Vedic mathematics, the numbers containing 5 in the units place can be squared by taking the remaining digit/s and multiply by its successor and then add 25.
Square of 25 is 2*3 = 6 and attach 25, So 25^2 = 625.
Square of 35 is 3*4 = 12 and attach 25, So 35^2 = 1225.
Square of 125 is 12*13 = 156 and attach 25, So 125^2 = 15625.
Square of 95 is 9*10 = 90 and attach 25, So 95^2 = 9025.
From the time I had answered the question asking for the square of 25, the question now appears as what is the square root of 25.
I will answer the revised question as square root of 25 is +5 or -5.
4. The fourth grade went on field trip to the art museum. There are 3 classes
that have 14 students each. Each class also brought 2 teachers. If each bus
can hold 20 people, how many total buses will they need to for all the
teachers and students?
14
3
Answer: They will need 3 total buses to fit all of the teachers and students.
Step-by-step explanation: If there are 14 students and 2 teachers with each class, that is a total of 16 people. Multiply 16 by 3 and you get 48 total people going on the field trip. Divide 48 by 20 and you get 2.4, which means two buses will be filled up to the max and they will need an extra bus to fit the rest. Hence, your answer: 3 total buses.
Which ratio is greater? 3 : 4 or 5:6
Answer:
5:6 is greater than 3:4.
Max wants to cover this rectangle with blue tiles I estimate that there would be
I have no idea. Where is the diagram.
The opposite sides of a parallelogram
are
Answer:
Parallel
Step-by-step explanation:
In a parallelogram there are two sets of parallel lines, and they are always opposite sides.
For example: a square has 4 sides, the ones along the top and bottom are parallel and the ones along the left and right are also parallel
4 ^-3 rewrite without an exponent
Answer:
(1/4)³
Step-by-step explanation:
Hope it helps you
Answer:
[tex]\frac{1}{64}[/tex]
Step-by-step explanation:
Negative exponents means you bring the base to the denominator, which becomes a fraction.
[tex]4^{-3} \\=\frac{1}{4^{3}}[/tex]
The question wants us to write without an exponent.
The [tex]4^{3} = 4 * 4* 4=64[/tex]
So, it becomes:
[tex]\frac{1}{64}[/tex]
Write the equation of a line parallel to and passes through the given line’s x-intercept. Leave answer
in slope-intercept form
Answer:
y = 1/2x - 4
Step-by-step explanation:
The x-intercept is when y = 0, so it would be:
-x + 2 * 0 = 4
-x = 4
x = -4
That means the x-intercept is (0, -4)
The parallel line would have the same slope as this one, so:
[tex]-x+2y = 4\\2y = x + 4\\y = 1/2x + 2[/tex]
The parallel line has a slope of 1/2
So now you need to find the equation of a line that has a slope of 1/2 and passes through the point (0, -4)
Put it in point slope form:
y - (-4) = 1/2(x - 0)
y + 4 = 1/2x
y = 1/2x - 4
18. If 4 - 5x = -3, then what is 10x - 8
Answer:
6
Step-by-step explanation:
[tex]4 - 5x = - 3 \\ \\ - 5x = - 3 - 4 \\ \\ - 5x = - 7 \\ \\ x = \frac{ - 7}{ - 5} \\ \\ x = \frac{7}{5} \\ \\ 10x - 8 \\ \\ = 10 \times \frac{7}{5} - 8 \\ \\ = 2 \times 7 - 8 \\ \\ = 14 - 8 \\ \\ = 6[/tex]
Write 6^4 in expanded form. Then evaluate.
Answer:
expanded form: 6x6x6x6
answer: 1296
Step-by-step explanation:
In which rainforest three layer would you most expect to spot a harpy eagle
Answer:
canopy layer
Step-by-step explanation:
together, ben and kyle have 43 fishing lures. Kyle,(K), has 15 more lures than ben, (B). which statements are correct for this situation
Answer:
k + b = 43
15 + b = 43
b = 28
The sum of a number and six times its reciprocal is 10. Find the number
Answer:
two solutions work: x = 5 + [tex]\sqrt{19}[/tex] and x = 5 - [tex]\sqrt{19}[/tex]
Step-by-step explanation:
x + 6 ( 1/x ) = 10
x^2 + 6 = 10x
x^2 - 10x + 6 = 0
x = 5 + [tex]\sqrt{19}[/tex], 5 - [tex]\sqrt{19}[/tex]