Answer:
B. $336.09
Step-by-step explanation:
Monthly payment = $876.09
Interest rate = 4.8%
Convert the annual interest rate to monthly rate = 4.8% / 12
Monthly rate = 0.4% or 0.004
Amount going towards interest payment = 0.004* loan amount
Interest = 0.004 * 135,000
Interest = $540
Therefore, from the monthly payment of $876.09 , $540 goes towards paying interest and the balance is the note reduction;
Note reduction = $876.09 - $540 = $336.09
Answer:
336.09
Step-by-step explanation:
this is the right anwser
What are the coordinates of P' when you translate P 4 units to the right and 3 unit down?
(Graph up top)
(A.) (1,5)
(B.) (-5, 2)
(C.) (4, 2)
(D.) (3, 2)
Answer:
(3,2)
Step-by-step explanation:
The coordinates of the point P on the given graph is (-1,5).
So, when we translate point P on the graph by 4 units to the right its x-coordinate will change to (- 1 + 4) = 3.
Again, when we translate point P on the graph by 3 units down then its y-coordinate will change to (5 - 3) = 2.
Therefore, the new coordinates of the point P will be (3,2) (Answer)
A copy machine makes copies at a constant rate. The machine can make 80 copies in 2.5 minutes. Write an equation to represent the number of copies, n, that can be made over any time interval,t. ( PLEASE HELP ANSWER THIS QUICKLY!!!!)
Which expression is equivalent to
r9/r3?
minus the exponents ( when dividing)
r^9- r^3
answer:
r^6
Which expression is equivalent to [tex]r^9/r^3[/tex] ? The correct answer is b) [tex]r^6[/tex].
To simplify the expression [tex]r^9/r^3[/tex], we need to apply the rule of exponents. When dividing two terms with the same base, you can subtract the exponents.
In this case, both [tex]r^9[/tex] and [tex]r^3[/tex] have the same base 'r', so we subtract the exponent of [tex]r^3[/tex] from the exponent of [tex]r^9[/tex].
[tex]r^9/r^3[/tex] = [tex]r^{9-3}[/tex] = [tex]r^6[/tex].
In this problem, we are given the expression [tex]r^9/r^3[/tex] and we need to find an equivalent expression for it. To do that, let's understand the rules of exponents.
In general, when you have a term raised to a certain power and you divide it by the same term raised to a different power, you can simplify it by subtracting the exponents. For example, [tex]a^m / a^n = a^{m-n}[/tex].
Now, looking at our expression, [tex]r^9/r^3[/tex], we notice that both terms have the same base 'r'. According to the rule mentioned above, we can simplify the expression by subtracting the exponent of r3 from the exponent of [tex]r^9[/tex].
[tex]r^9/r^3[/tex] = [tex]r^{9-3}[/tex] = [tex]r^6[/tex].
So, the expression [tex]r^9/r^3[/tex] is equivalent to [tex]r^6[/tex]. This means that when you have a term raised to the power of 9 and you divide it by the same term raised to the power of 3, the result is the term raised to the power of 6.
In conclusion, the correct answer is b) [tex]r^6[/tex], as it represents the equivalent expression to [tex]r^9/r^3[/tex] after applying the rules of exponents.
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if f(x)=4/x+2 and g is the inverse of f, then g'(10)=
Answer:
The value of g'(10)=[tex]\frac{(-1)}{16}[/tex]
Step-by-step explanation:
Given function is f(x)=[tex]\frac{4}{x} + 2[/tex]
Take f(x)=y
y=[tex]\frac{4}{x} + 2[/tex]
Subtract 2 from both side.
y-2=[tex]\frac{4}{x}[/tex]
x=[tex]\frac{4}{y-2}[/tex]
The inverse of f(x) is written as [tex] \frac{4}{y-2}[/tex]
It is said as g is inverse of f
g(y)=\frac{4}{y-2}[/tex]
g(y)=[tex]\frac{4}{y-2}[/tex]
g(10)=[tex]\frac{4}{10-2}[/tex]
g(10)=[tex]\frac{1}{2}[/tex]
Differentiating both sides we get,
g'(y)=[tex]\frac{4(-1)}{(y-2)^{2}}+0[/tex]
g'(y)=[tex]\frac{(-4)}{(y-2)^{2}}[/tex]
To find g'(10)=[tex]\frac{(-4)}{(10-2)^{2}}[/tex]
g'(10)=[tex]\frac{(-1)}{16}[/tex]
Uncle Drew scored 28 points in 5 minutes during a game of basketball.
How many points did he average per minute during that 5-minutes?
points per minute
Uncle Drew averaged 5.6 points per minute during that 5-minute game.
To find the average number of points Uncle Drew scored per minute during the 5-minute game, we divide the total number of points scored by the number of minutes played.
Given that Uncle Drew scored 28 points in 5 minutes, we divide 28 by 5:
[tex]\[ \text{Average points per minute} = \frac{28}{5} \]\[ \text{Average points per minute} = 5.6 \][/tex]
please answer fast I have been work on it for a week .thank you
Answer:
A) 3x-5=25
I'll try my best on the others
B) x+y^2=18
C)x•6/5=x+4 ????
D).5+x=2-4???
That's all I know :/
Step-by-step explanation:
yeah I'm not sure lol
The monthly budget for the front of the house is $5,000. You spent 10% of the budget on fresh flowers. How much did you spend on fresh flowers?
Final answer:
To find out how much was spent on fresh flowers, 10% of the monthly budget of $5,000 was calculated, resulting in $500 spent on fresh flowers.
Explanation:
If the monthly budget for the front of the house is $5,000, and you spent 10% of the budget on fresh flowers, you can calculate the amount spent on fresh flowers by finding 10% of $5,000. To do this, you simply multiply the total budget by the percentage (expressed as a decimal).
To express 10% as a decimal, you divide 10 by 100, which gives 0.10. Next, multiply the monthly budget by this decimal:
0.10 × $5,000 = $500
Therefore, you spent $500 on fresh flowers.
Find the sum of the side lengths.
(d + 5) + (d + 5) + (d + 5)
Answer:
d15?
Step-by-step explanation:
Calculate the constant of variation if y varies directly as x. PLEASE GIVE EXPLANATION
Answer:
[tex]k = - \frac{3}{2}[/tex]
Step-by-step explanation:
If y varies directly with x, then from the relation of direct variation we can write y ∝ x
Now, converting the variation relation to equation relation,
⇒ y = kx ........... (1) {Where k is the constant of variation}
Now, given that at y = - 3, x = 2 and this solution will satisfy the equation (1).
Hence, - 3 = 2k
⇒ [tex]k = - \frac{3}{2}[/tex] (Answer)
6 dollars of 3 cans of tuna in a unit rate
The unit rate is $2 per can.
Step-by-step explanation:
You divide 6 by 3 which then equals 2.
Answer:
$2.00 per can
Step-by-step explanation:
how do i factor x(3x+5) - 4(3x+5)
Answer:
(3x + 5)(x - 4)
Step-by-step explanation:
Given
x(3x + 5) - 4(3x + 5) ← factor out (3x + 5) from each term
= (3x + 5)(x - 4) ← in factored form
2x^5+7x^4-18x^2-8x+8 find zeros
This was a year ago and no one answered I hope you did find the answer
What must be added to x - y to obtain y-x?
To obtain y - x from x - y, add 2y - 2x to x - y which simplifies to y - x.
Explanation:To transform x - y into y - x, we need to add something that effectively swaps x and y while also changing the sign of both variables. This is a classic example of using the property that A - B is the same as A + (-B). Applying this to our expression, if we add 2y to x - y, we'll get x + y. But, we need y - x, not x + y. So, we need to subtract x twice. Once to cancel out the original x, and a second time to create the negative x in the desired expression. Essentially, we add -2x to our new expression, x + y. So, the final answer is (x - y) + 2y - 2x, which simplifies to y - x.
Neil made 215 free throws out of 342 attempts. Avid made 358 free throws out of 596 attempts. Who had a better free throw pet attempt rate?
Answer:
Neil had a better free throw rate.
Step-by-step explanation:
This is because Neil Shot less, but made more.
I hope this helps you!
Final answer:
Neil had a better free throw percentage at approximately 62.87% compared to Avid's 60.07% by calculating the number of successful throws divided by the total attempts and multiplying by 100.
Explanation:
The question involves comparing the free throw rates of two basketball players to determine who had a better free throw percentage. To find the free throw percentage, we divide the number of successful free throws by the total number of attempts and then multiply by 100.
For Neil:
(215 free throws ÷ 342 attempts) × 100 = ~62.87%
For Avid:
(358 free throws ÷ 596 attempts) × 100 = ~60.07%
Neil had a better free throw percentage than Avid as 62.87% is higher than 60.07%.
The hockey team won 8 out of their first 14 games. At the same rate, how many games should they expect to win out of 84
Answer:
48
Step-by-step explanation:
Answer:
The answer is 48 games out of 84.
Step-by-step explanation:
So first we go through a step by step process.
We have a problem set up that looks something like this.
8/14 = ?/84
Step 1:
So we will first divide 84 by 14, giving us 6.
Step 2:
So 14x6 is equal to 84. Now we have to multiply the top half of the equation by 6. This is 8x6 giving us 48.
Step 3:
Now we substitute the ? with the 48. In the end if playing 84 games the hockey team would win 48 at the rate it was going.
Hope this helped!
What value of z makes the equation true? 0.2z -8 =0.4z -7
Answer:
X= -0.4545
Step-by-step explanation:
YOU HAVE TO SUBTRACT .2Z FROM .4Z WHICH GETS YOU .2 ON THE RIGHT SIDE
THAT WOULD MEAN YOU HAVE TO CLEAR OUT THE SEVEN BY ADDING IT ON BOTH SIDES GETTING -1
THEN YOU WOULD HAVE -1=.2Z
THEN DIVIDE BY .2 GETTING YOU A TOTAL OF -0.4545 WHEN YOU FINISH DIVIDING
Mrs. William shops at a store that has an annual membership fee of $30. today she paid her annual membership and bought several fruit baskets costing $15 each as gifts for her co-workers. her total was $105. solve the equation 15b+ 30=105 to find the number of fruit baskets mrs. Williams purchased.
Number of fruit baskets purchased by Mrs. William is 5
Solution:Given that
Annual membership fee of store where Mrs. William shops = $30
Cost of one fruit basket which Mrs. William as gifts for her co-workers = $15
Total amount spent by Mrs. William = $150
Given that "b" represents number of basket purchased
Equation which models the above scenario is as follows
15b+ 30=105 ------ (1)
Where b represents number of fruit basket purchased by Mrs. William
Need to calculate number of fruit basket purchased by Mrs. William
For which we need to solve equation (1) for b
On solving we get
15b+ 30 = 105
On Subtracting 30 from both sides we get
15b + 30 – 30 = 105 – 30
=> 15b = 75
On dividing both sides by 15 we get
[tex]\begin{array}{l}{\frac{15 b}{15}=\frac{75}{15}} \\\\ {=>b=5}\end{array}[/tex]
As variable "b" represents number of basket purchased, hence we can conclude that number of fruit baskets purchased by Mrs. William is 5
Find the area and circumference of a circle that has a diameter of 17mm
The area of the circle is approximately [tex]\(69.46 \, \text{mm}^2\)[/tex] and the circumference is approximately [tex]\(53.49 \, \text{mm}\).[/tex]
To find the area A and circumference C of a circle given its diameter d, we can use the following formulas:
1. Area A of a circle:
[tex]\[ A = \pi \times \left(\frac{d}{2}\right)^2 \][/tex]
2. Circumference C of a circle:
[tex]\[ C = \pi \times d \][/tex]
Given that the diameter d is 17 mm, we can plug this value into the formulas to find the area and circumference.
1. Area A of the circle:
[tex]\[ A = \pi \times \left(\frac{17}{2}\right)^2 \]\[ A = \pi \times \left(\frac{17}{2}\right) \times \left(\frac{17}{2}\right) \]\[ A = \pi \times \frac{17 \times 17}{4} \]\[ A = \pi \times \frac{289}{4} \]\[ A = \frac{289}{4} \pi \][/tex]
[tex]\[ A \approx 69.46 \, \text{mm}^2 \][/tex]
2. Circumference (\(C\)) of the circle:
[tex]\[ C = \pi \times 17 \]\[ C = 17\pi \][/tex]
[tex]\[ C \approx 53.49 \, \text{mm} \][/tex]
please help. If you answer correctly and give an explanation I'll give you 5 stars, thanks, and brainliest.
solve the equation:
2x + 1-x/4 = 3
or
[tex]2x + \frac{1-x}{4} = 3[/tex]
The solution of the equation is [tex]x=\frac{11}{7}[/tex]
Step-by-step explanation:
To simplify an equation of x
Simplify each side of the equationCollect x in side and the numerical terms in the other sideFind the value of x∵ The equation is [tex]2x + \frac{1-x}{4}=3[/tex]
- Multiply all terms of the equation by 4 to cancel the denominator
of the 2nd term in the left hand side
∵ The equation is [tex]4(2x) +4 (\frac{1-x}{4})=4(3)[/tex]
∴ 8x + (1 - x) = 12
∴ 8x + 1 - x = 12
- Add like terms
∴ (8x - x) + 1 = 12
∴ 7x + 1 = 12
- Subtract 1 from both sides
∴ 7x = 11
- Divide both sides by 7
∴ [tex]x=\frac{11}{7}[/tex]
The solution of the equation is [tex]x=\frac{11}{7}[/tex]
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Which shows the equation 6x + 4y = 10 written in slope-intercept form?
A. y= -3/2x + 5/2
B. y= -4/6x + 5/3
C. y= -4x + 4
D. y= -6x + 10
I need it explained please so that I'm able to solve questions like this. [tex][/tex]
Answer:
A) y=-3/2x+5/2
Step-by-step explanation:
y=mx+b
6x+4y=10
4y=10-6x
4y=-6x+10
y=-6/4x+10/4
simplify
y=-3/2x+5/2
The equation 6x + 4y = 10 written in slope-intercept form is y = -3/2x + 5/2.
How to solve the equation 6x + 4y = 10 by slope-intercept form?The equation Y = mx + b exists in the slope-intercept form of the equation of a straight line. In the equation y = mx + b, m exists the slope of the line and b exists the intercept. X and y describe the distance of the line from the x-axis and y-axis, respectively. The value of b exists equivalent to y when x = 0, and m indicates how steep the line exists.
Let the equation be, 6x + 4y = 10
Simplifying the above equation we get
4y = 10 - 6x
4y = -6x + 10
y=-6/4x + 10/4
simplify
y = -3/2x + 5/2.
Therefore, the correct answer is option A. y= -3/2x + 5/2.
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Complete the statement below to explain how this model shows that 2/3÷3/4=8/9
To reciprocal the term for dividing, then multiply both fractions and get the solution to model 2/3 ÷ 3/4 = 8/9.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
The numeral model is given in the question following:
⇒ 2/3 ÷ 3/4 = 8/9
According to the given question, the required solution would be as:
Find the reciprocal in this situation to divide by a fraction:
3/4 divided by 2/3
This would be: 2/3 x 4/3
When you multiply the components, you get 8/9.
Thus, to reciprocal the term for dividing, then multiply both fractions and get the solution.
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Final answer:
To show that 2/3 divided by 3/4 equals 8/9, we multiply 2/3 by the reciprocal of 3/4, which is 4/3, yielding the answer 8/9. This illustrates that division by a fraction involves multiplying by its reciprocal.
Explanation:
To explain how the model shows that 2/3 ÷ 3/4 = 8/9, we need to understand division of fractions and the concept of reciprocals. Division of fractions is the same as multiplying by the reciprocal of the divisor. The reciprocal of 3/4 is 4/3. Therefore, to divide 2/3 by 3/4, we multiply 2/3 by 4/3:
(2/3) × (4/3) = 8/9
This demonstrates that dividing by a fraction is equivalent to multiplying by its reciprocal. We can also use familiar scenarios to rationalize the answer. For instance, we know that half of one half (1/2 × 1/2) equals one quarter (1/4) and this helps us understand the process - we are scaling a number by another when we multiply fractions.
When discussing multiplication and division of fractions, it is useful to remember that these operations are fundamentally linked; division is essentially multiplication by a reciprocal. Hence, dividing 2/3 by 3/4 is the same as multiplying 2/3 by the reciprocal of 3/4, which is 4/3, resulting in 8/9.
Can somebody help me with the 3 questions?
Answer:
1.
a. 2.75 seconds
b. 169 feet
2. x - 3 is a factor
Other factors: x + 2, 2x + 1, 3x - 4
3. Real zeros: [tex]x = -2[/tex]
Complex zeros: [tex]x_{2,3}=-3\pm 2i[/tex]
Step-by-step explanation:
1. Given equation of parabola
[tex]s(t)=-16t^2+88t+48[/tex]
a) The rocket reaches its maximum height at the vertex of parabola. Find t-coordinate of the vertex:
[tex]t_v=\dfrac{-b}{2a}\\ \\=\dfrac{-88}{2\cdot (-16)}\\ \\=\dfrac{11}{4}\\ \\=2.75\ seconds[/tex]
b) The maximum height is s-coordinate of the vertex. Find it:
[tex]s\left(\dfrac{11}{4}\right)\\ \\=-16\cdot \left(\dfrac{11}{4}\right)^2+88\cdot\left(\dfrac{11}{4}\right)+48\\ \\=-121+22\cdot 11+48\\ \\=169\ feet[/tex]
2. For x – 3 to be a factor of [tex]f(x)=6x^4-11x^3-35x^2+34x+24,[/tex] the Factor Theorem says that x = 3 must be a zero of f(x). Check it (whether f(3)=0):
[tex]f(3)\\ \\=6\cdot 3^4-11\cdot 3^3-35\cdot 3^2+34\cdot 3+24\\ \\=6\cdot 81-11\cdot 27-35\cdot 9+102+24\\ \\=486-297-315+126\\ \\=0[/tex]
So, x = 3 is zero of the function f(x) and x - 3 is the factor of the function f(x). Rewrite the function as follows:
[tex]f(x)\\ \\=6x^4-11x^3-35x^2+34x+24\\ \\=6x^4-18x^3+7x^3-21x^2-14x^2+42x-8x+24\\ \\=6x^3(x-3)+7x^2(x-3)-14x(x-3)-8(x-3)\\ \\=(x-3)(6x^3+7x^2-14x-8)\\ \\=(x-3)(6x^3+12x^2-5x^2-10x-4x-8)\\ \\=(x-3)(6x^2(x+2)-5x(x+2)-4(x+2))=\\ \\=(x-3)(x+2)(6x^2-5x-4)\\ \\=(x-3)(x+2)(6x^2+3x-8x-4)\\ \\=(x-3)(x+2)(3x(2x+1)-4(2x+1))\\ \\=(x-3)(x+2)(2x+1)(3x-4)[/tex]
3. [tex]x=-2[/tex] is a zero of the function [tex]f(x)=x^3+8x^2+25x+26,[/tex] then
[tex]f(x)\\ \\=x^3+8x^2+25x+26\\ \\=x^3+2x^2+6x^2+12x+13x+26\\ \\=x^2(x+2)+6x(x+2)+13(x+2)\\ \\=(x+2)(x^2+6x+13)[/tex]
Find the discriminant of the quadratic polynomial [tex]x^2+6x+13;[/tex]
[tex]D=6^2-4\cdot 1\cdot 13=36-52=-16[/tex]
This expression has no more real zeros (the discriminant is less than 0), it has two complex zeros:
[tex]x_{1,2}=\dfrac{-6\pm \sqrt{-16}}{2\cdot 1}=\dfrac{-6\pm 4i}{2}=-3\pm 2i[/tex]
Rammy has $9.60 to spend on some peaches and a gallon of milk. Peaches
cost $1.20 per pound, and a gallon of milk costs $3.60.
The inequality 1.20x+ 3.60 39.60 models this situation, where x is the
number of pounds of peaches.
HEF
Solve the inequality. How many pounds of peaches can Rammy buy?
Answer:
[tex]\large \boxed{\text{5.00 lb}}[/tex]
Step-by-step explanation:
[tex]\begin{array}{rcl}1.20x + 3.60 & \leq & 9.60\\1.20x & \leq & 6.00\\x &\leq & \mathbf{5.00}\\\end{array}\\\text{Rammy can buy $\large \boxed{\textbf{5.00 lb}}$ of peaches.}[/tex]
Check:
[tex]\begin{array}{rcl}1.20(5.00) + 3.60 & \leq & 9.60\\6.00 + 3.60 & \leq & 9.60\\9.60 & \leq & 9.60\\\end{array}[/tex]
OK.
The number of pounds of peaches that Rammy can buy is 5 pounds.
Based on the information given in the question, the equation to solve the question will be:
1.20x + 3.60 ≤ 9.60
Collect like terms
1.20x ≤ 9.60 - 3.60
1.20x ≤ 6.00
Divide both side by 1.20
1.20x/1.20 ≤ 6.00/1.20
x ≤ 5.00
Therefore, the number of pounds of peaches that Rammy can buy is 5 pounds
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Diego is 165 cm tall. Andre is 1.7 . tall. Who is taller Diego or Andre?
Answer:
Andre is taller.
Step-by-step explanation:
I assume Andre's height is 1.7 m.
Let's convert Andre's height to cm.
1 m = 100 cm
1.7 m = 1.7 * 1 m = 1.7 * 100 cm = 170 cm
Andre is 170 cm tall. Diego is 165 cm tall.
Since 170 cm > 165 cm, Andre is taller.
1.7 m = 170 cm
170 cm > 165 cm
Andre > Diego
-6(y+5)-24=66 find the value of y
Answer:
y=-20
Step-by-step explanation:
-6(y+5)-24=66
-6y-30-24=66
-6y-54=66
-6y=66+54
-6y=120
y=120/-6=-20
Some positive integer, x, results in a square number when 64 is taken away from it, and when 25 is added to it. Find x.
Answer:
x=2000
Step-by-step explanation:
The conditions state, being x, N, M positive integers:
[tex]x-64=N^2[/tex] [1]
[tex]x+25=M^2[/tex] [2]
Subtracting the [1] from [2]
[tex]89=M^2-N^2=(M-N)(M+N)[/tex]
Since 89 has no other prime factors except 1 and itself, we can write
[tex](M-N)(M+N)=(1)(89)[/tex]
[tex]M+N=89[/tex]
[tex]M-N=1[/tex]
This system of equations results in [tex]M=45, N=44[/tex]
Replacing in [1] or [2] results
[tex]x=2000[/tex]
Proof:
[tex]2000-64=1936 =44^2[/tex]
[tex]2000+25=2025=45^2[/tex]
Solving systems by substitution
X=y-11
2x+3y=8
Answer:
x=-5, y=6. (-5, 6).
Step-by-step explanation:
x=y-11
2x+3y=8
--------------
2(y-11)+3y=8
2y-22+3y=8
5y-22=8
5y=8+22
5y=30
y=30/5=6
x=6-11=-5
25 POINTS HELP ME PLEASE
Answer:D
Step-by-step explanation:
Your first solution is to look at the 10x^2y in order to get 8 from ten you would need to subtract 2x^something y and there is only one answer with that
Answer:
yes its D.
Step-by-step explanation:
What number would x be for 2x+1/3 and 2x be the same equation
Answer:
No solution.
Step-by-step explanation:
2x+1/3=2x
1/3=2x-2x
1/3=0
no solution
A box is filled with 4 red cards, 4 green cards, and 6 brown cards. A card is chosen at random from the box. What is the probability that the card is not green?
Write your answer as a fraction in simplest form.