The constant term that should be used to complete the square? x2 - 5x + _____ = 7 is 25/4
What is quadratic equation ?
A quadratic equation in the variable x is of the form. ax2 + bx + c = 0, where a, b, c are real numbers and a ≠ 0. • Roots of a quadratic equation : A real number α is said to be a root of the. quadratic equation ax2 + bx + c = 0, if aα2 + bα + c = 0.
Given:
x^2-5x+c=7, the constant term c will be obtained using the formula:
c=(-b/2a)²
The quadratic equation in its generic form is:
ax^2 + bx + c
To complete squares we must add the following term:
(b / 2) ^ 2
The equation is:
ax^ 2 - 5x + k = 7
By completing squares we have:
x ^ 2 - 5x + (-5/2) ^ 2 = 7 + (-5/2) ^ 2
Rewriting:
x ^ 2 - 5x + 6.25 = 7 + 6.25
Hence, A constant term should be used to complete the square is 25/4 or 6.25.
Learn more about quadratic equation at:
https://brainly.com/question/25841119
#SPJ1
What is the value of the expression below?
−2
1
3
− 3
5
6
+ 1
1
3
?
Answer:
Step-by-step explanation:
The expression you've provided is a combination of several fractions, but it's not clear how they are supposed to be combined. Without more information, it's impossible to know what the value of the expression is.
It would be helpful if you could provide more context or clarify how you want the fractions to be combined.
I can only tell you how the fraction works in mathematics and how you can evaluate the value of it if you have the complete information.
Find the circumference of the circle.
Answer:
72 .22 inches is the answer bro
Answer:
72.22 inches
Step-by-step explanation:
Formula for circumference given diameter is:
c = πd
If you use 3.14 for pi, you get 72.22 inches:
c = 3.14(23)
c = 72.22
How much elastic energy is stored in a slingshot that has a spring constant of 300 N/m and is stretched by 0.45m?
Answer:
E = 30.37 J
Step-by-step explanation:
Given that,
The spring constant of the spring, k = 300 N/m
The spring is stretched by 0.45 m, x = 0.45 m
We need to find the elastic energy stored in the spring. The formula for the elastic energy is given by :
[tex]E=\dfrac{1}{2}kx^2\\\\=\dfrac{1}{2}\times 300\times (0.45)^2\\\\=30.37\ J[/tex]
So, the required elastic energy is equal to 30.37 J.
Plot the point whose polar coordinates are given. Then find two other pairs of polar coordinates of this point, one with r > 0, and one with r < 0.
(a) (2, 5pi/6)
(b) (1, -2pi/3)
(c) (-1, 5pi/4)
Answer:
The other pairs are:
[tex](a)\ (2, \frac{5\pi}{6}) \to[/tex] [tex](2, \frac{17\pi}{6})[/tex] and [tex](-2, \frac{23\pi}{6})[/tex]
[tex](b)\ (1, -\frac{2\pi}{3}) \to[/tex] [tex](1, \frac{4\pi}{3})[/tex] and [tex](-1, \frac{7\pi}{3})[/tex]
[tex](c)\ (-1, \frac{5\pi}{4}) \to[/tex] [tex](-1, \frac{3\pi}{4} )[/tex] and [tex](1, \frac{7\pi}{4})[/tex]
See attachment for plots
Step-by-step explanation:
Given
[tex](a)\ (2, \frac{5\pi}{6})[/tex]
[tex](b)\ (1, -\frac{2\pi}{3})[/tex]
[tex](c)\ (-1, \frac{5\pi}{4})[/tex]
Solving (a): Plot a, b and c
See attachment for plots
Solving (b): Find other pairs for [tex]r > 0[/tex] and [tex]r < 0[/tex]
The general rule is that:
The other points can be derived using
[tex](r, \theta) = (r, \theta + 2n\pi)[/tex]
and
[tex](r, \theta) = (-r, \theta + (2n + 1)\pi)[/tex]
Let [tex]n =1[/tex] ---- You can assume any value of n
So, we have:
[tex](r, \theta) = (r, \theta + 2n\pi)[/tex]
[tex](r, \theta) = (r, \theta + 2*1*\pi)[/tex]
[tex](r, \theta) = (r, \theta + 2\pi)[/tex]
[tex](r, \theta) = (-r, \theta + (2n + 1)\pi)[/tex]
[tex](r, \theta) = (-r, \theta + (2*1 + 1)\pi)[/tex]
[tex](r, \theta) = (-r, \theta + (2 + 1)\pi)[/tex]
[tex](r, \theta) = (-r, \theta + 3\pi)[/tex]
[tex](a)\ (2, \frac{5\pi}{6})[/tex]
[tex]r = 2\ \ \ \ \theta = \frac{5\pi}{6}[/tex]
So, the pairs are:
[tex](r, \theta) = (r, \theta + 2\pi)[/tex]
[tex](2, \frac{5\pi}{6}) = (2, \frac{5\pi}{6} + 2\pi)[/tex]
Take LCM
[tex](2, \frac{5\pi}{6}) = (2, \frac{5\pi+12\pi}{6})[/tex]
[tex](2, \frac{5\pi}{6}) = (2, \frac{17\pi}{6})[/tex]
And
[tex](r, \theta) = (-r, \theta + 3\pi)[/tex]
[tex](2, \frac{5\pi}{6}) = (-2, \frac{5\pi}{6} + 3\pi)[/tex]
Take LCM
[tex](2, \frac{5\pi}{6}) = (-2, \frac{5\pi+18\pi}{6})[/tex]
[tex](2, \frac{5\pi}{6}) = (-2, \frac{23\pi}{6})[/tex]
The other pairs are:
[tex](2, \frac{17\pi}{6})[/tex] and [tex](-2, \frac{23\pi}{6})[/tex]
[tex](b)\ (1, -\frac{2\pi}{3})[/tex]
[tex]r = 1\ \ \ \theta = -\frac{2\pi}{3}[/tex]
So, the pairs are:
[tex](r, \theta) = (r, \theta + 2\pi)[/tex]
[tex](1, -\frac{2\pi}{3}) = (1, -\frac{2\pi}{3} + 2\pi)[/tex]
Take LCM
[tex](1, -\frac{2\pi}{3}) = (1, \frac{-2\pi+6\pi}{3})[/tex]
[tex](1, -\frac{2\pi}{3}) = (1, \frac{4\pi}{3})[/tex]
And
[tex](r, \theta) = (-r, \theta + 3\pi)[/tex]
[tex](1, -\frac{2\pi}{3}) = (-1, -\frac{2\pi}{3} + 3\pi)[/tex]
Take LCM
[tex](1, -\frac{2\pi}{3}) = (-1, \frac{-2\pi+9\pi}{3})[/tex]
[tex](1, -\frac{2\pi}{3}) = (-1, \frac{7\pi}{3})[/tex]
The other pairs are:
[tex](1, \frac{4\pi}{3})[/tex] and [tex](-1, \frac{7\pi}{3})[/tex]
[tex](c)\ (-1, \frac{5\pi}{4})[/tex]
[tex]r = -1 \ \ \ \ \theta = \frac{-5\pi}{4}[/tex]
So, the pairs are
[tex](r, \theta) = (r, \theta + 2\pi)[/tex]
[tex](-1, \frac{-5\pi}{4}) = (-1, \frac{-5\pi}{4} + 2\pi)[/tex]
Take LCM
[tex](-1, \frac{-5\pi}{4}) = (-1, \frac{-5\pi+8\pi}{4} )[/tex]
[tex](-1, \frac{-5\pi}{4}) = (-1, \frac{3\pi}{4} )[/tex]
And
[tex](r, \theta) = (-r, \theta + 3\pi)[/tex]
[tex](-1, \frac{-5\pi}{4}) = (-(-1), \frac{-5\pi}{4}+ 3\pi)[/tex]
Take LCM
[tex](-1, \frac{-5\pi}{4}) = (1, \frac{-5\pi+12\pi}{4})[/tex]
[tex](-1, \frac{-5\pi}{4}) = (1, \frac{7\pi}{4})[/tex]
So, the other pairs are:
[tex](-1, \frac{3\pi}{4} )[/tex] and [tex](1, \frac{7\pi}{4})[/tex]
pls find the angle HAF in the diagram
Answer:
∠HAF ≈ 64.90°
Step-by-step explanation:
You want the angle HAF, a base angle in the isosceles triangle formed by the face diagonals of the cuboid with dimensions 6 cm, 6 cm, and 8 cm.
Diagonal lengthsThe lengths of the diagonals can be found using the Pythagorean theorem:
HA² = HD² + DA²
HA² = 6² +6² = 2·6²
HA = 6√2 . . . cm
FA² = FB² +BA²
FA² = 6² +8² = 36 +64 = 100
FA = 10 . . . cm
Diagonal FH is the diagonal of a rectangle with the same dimensions as the rectangle whose diagonal is FA:
FH = FA = 10 . . . cm
Law of CosinesThe angle A can be found using the law of cosines:
FH² = FA² +HA² -2·FA·HA·cos(A)
A = arccos((FA² +HA² -FH²)/(2FA·HA))
A = arccos((100 +72 -100)/(2·10·6√2)) = arccos(72/(120√2))
A = arccos(0.3√2) ≈ 64.90°
Angle HAF is about 64.90°.
URGENT CLICK TO SEE LINKS WILL GET REPORTED PLS
Answer:
3
Step-by-step explanation:
Jim rented a truck for one day. There was a base fee of 16.99, and there was an additional charge of 88 cents for each mile. Jim had to pay 149.87 when he returned the truck. For how many miles did he drive the truck?
Answer:
Step-by-step explanation: Total Cost: TC = $126.07
Base fee: B = $16.95
Rate per mile: r = $0.88/mile
Distance (miles) : d -->this is what we need to find
The general formula is:
TC = B + r*d
In this problem:
$126.07 = $16.95 + ($0.88/mile)*d
126.07 - 16.95 = 0.88d (I dropped the units starting here)
d = (126.07 - 16.95)/0.88 = 124 miles (notice the parentheses. subtraction has a lower precedence than division. If you omitted them when using a graphing calculator you would get an incorrect answer)
So the answer is 124 miles.
After a 40% discount, The price of a T-shirt was $30. What was the price before the discount?
Answer:
$18
Step-by-step explanation:
A clients intake in mL
Apple juice 2 oz
Chicken Broth 4 oz
Gelatin Dessert 3 oz
Hot tea 5 oz
3
Total mL
A) 330
B) 420
C) 510
D) 670
Answer:
Total intake in ML = 414 ml (Approx.)
Step-by-step explanation:
Given:
Apple juice intake = 2 oz
Chicken broth intake = 4 oz
Gelatin dessert intake = 3 oz
Hot tea intake = 5 oz
Find:
Total intake in ML
Computation:
1 oz = 29.5735 ml
Apple juice intake in ml = 2 x 29.5735
Apple juice intake in ml = 59.147 ml
Chicken broth intake = 4 x 29.5735
Chicken broth intake = 118.294 ml
Gelatin dessert intake = 3 x 29.5735
Gelatin dessert intake = 88.7205ml
Hot tea intake = 5 x 29.5735
Hot tea intake = 147.8675 ml
Total intake in ML = 59.147 ml + 118.294 ml + 88.7205ml + 147.8675 ml
Total intake in ML = 414.029 ml
Total intake in ML = 414 ml (Approx.)
2) Out of the 976 potatoes in the storeroom, 61 are rotten. What percentage of
the potatoes are rotten?
Answer:
The answer is 6.25%
Step-by-step explanation:
Given;Out of the 976 potatoes in the storeroom, 61 are rotten.So,
(61 ÷ 976) × 100%
0.0625 × 100% = 6.25%
Thus, 6.25% of potatoes are rotten.
Step-by-step explanation:
% of potatoes rotten = 61/976 × 100
=> 6100/976
=> 6.25%
I need some help please (multiple choice). Find the points of discontinuity
9514 1404 393
Answer:
A (-2), A
Step-by-step explanation:
A function will have a point of discontinuity at a point where it is undefined. Rational functions will be undefined where the denominator is zero. This function will have denominator zeros at x = -2, so is discontinuous there.
__
As x approaches -2 from either direction, the value of y approaches positive infinity. The type of discontinuity can be described as an infinite discontinuity.
Can someone explain the answer to this and how to work it
If an 8-foot pole casts a 6-foot shadow at the same time a nearby tree casts
a 33-foot shadow, how tall is the tree (in feet)?
Answer:
The tree is 44 feet
Step-by-step explanation:
[tex]\frac{8}{6}[/tex] is equivalent to [tex]\frac{4}{3}[/tex] (divide the numerator and denominator by 2)
[tex]\frac{4}{3}[/tex] = [tex]\frac{x}{33}[/tex]
3 x 1 = 33, so 4 x 11 = 44
What are the answers
Answer:
Rate of change= 1/3
Initial value = -4
Step-by-step explanation:
The rate of change is rise/run = 1/3.
the initial value is the y-intercept which is -4.
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
to get the slope of any straight line, we simply need two points off of it, let's use those two in the picture below
[tex](\stackrel{x_1}{-6}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-3}-\stackrel{y1}{(-6)}}}{\underset{\textit{\large run}} {\underset{x_2}{3}-\underset{x_1}{(-6)}}} \implies \cfrac{-3 +6}{3 +6} \implies \cfrac{ 3 }{ 9 } \implies \cfrac{1 }{ 3 }[/tex]
now as far as the "initial value", dunno what that means.
The start of the line? well, the line by definition goes to infinity both ways.
the y-intercept? well, just look at the graph, the graph intercepts the y-axis when x = 0 and y = -4, so at (0 , -4).
Solve the following simultaneous equations by elimination
A) x+y=2
x-y-1=0
B) x+y=5
x-y=7
C) x+y=17
x-y=1
D) 5x+y=29
5x-y=11
Answer:
0
8
0
9
0
9
9
098098809667906432
The height and the base area b of a cone are given fine the volume of the cone h=6units b=4 pie square units ?
Answer:
24 may be
Step-by-step explanation:
coz i dont kmow waiii i dont know
m soo sry to disturb u
may god find ur answer
god bless u
be happy alys
A consumer advocacy group has received complaints that a particular potato chip manufacturer is producing bags that contain less than the advertised 1.75 ounces of chips. A SRS of 150 bags of flour is weighed and the sample mean weight is found to be 1.74 ounces. If we assume a population standard deviation of 0.08 ounces, use a hypothesis test to test the claim that the bags are being under-filled.
1: What is the null hypothesis?
2: What is the alternative hypothesis?
Answer:
Null (H0) : Mean chips weight = 1.75 , Alternate (H1) : Mean chips weight < 1.75
Step-by-step explanation:
Null Hypothesis states no deviation from considered population parameter.
Alternate Hypothesis states deviation from considered population parameter. If anticipated deviation may be more or less, its two tail test. If anticipated deviation is only more or less, its left or right tail test .
Null Hypothesis [H0] : Average chips weight = 1.75 ounce
Alternate Hypothesis [H1] : Average chips weight < 1.75 ounce {Left Tail Test}
Solve the simultaneous equations using elimination method.
4x – 3y = 1
x + 3y =
Answer:
[tex]x=\frac{1}{5}[/tex]
[tex]y = -\frac{1}{15}[/tex]
Step-by-step explanation:
4x - 3y = 1
x + 3y = 0
Req To Solve With Elimination:
Make Them Equal:
-> 4x - 3y = 1
-> 4x + 4 . 3y = 0
Simplify:
-> 4x - 3y = 1
-> 4x + 12y = 0
-> 4x - 4x - 3y - 12y = 1
-> -3y - 12y = 1
-> -15y = 1
-> [tex]y = -\frac{1}{15}[/tex]
-> [tex]x+3(-\frac{1}{15} )=0[/tex]
-> [tex]x -\frac{1}{5}=0\\[/tex]
-> [tex]x=\frac{1}{5}[/tex]
Please Mark As Brainliest
Answer:
4x – 3y = 1
x + 3y =
Adding the equations gives us:
5x =1
x = .2
since 4x - 3y = 1
then -3y -1 = -4x then we multiply by -1
3y +1 = 4x
3y = 4*.2 -1
3y = .8 -1
3y = -.2
y = -.2 / 3 = -0.066666666...
For a double check you can use Cramer's Rule
http://www.1728.org/cramer.htm
Step-by-step explanation:
Which of the following tables represents a linear relationship that is also proportional?
x y
0 3
3 6
6 9
x y
0 4
2 6
4 8
x y
0 0
6 3
12 6
x y
0 3
5 5
10 7
The solution is Option A. , Option C.
The equations which are also proportional is y = 3x and x = 2y
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the equation be represented as A
Now , the value of A is
a)
Let the values of x = { 0 , 3 , 6 }
Let the values of y = { 3 , 6 , 9 }
Now , the proportional equation is y = 3x
So , the proportionality constant is k = 3
b)
Let the values of x = { 0 , 6 , 12 }
Let the values of y = { 0 , 3 , 6 }
Now , the proportional equation is x = 2y
So , the proportionality constant is k = 2
Hence , the equations are y = 3x and x = 2y
To learn more about proportion click :
https://brainly.com/question/7096655
#SPJ1
Answer: The solution is Option A. , Option C.
Step-by-step explanation:
The equations which are also proportional is y = 3x and x = 2y
What is Proportion?
The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the equation be represented as A
Now , the value of A is
a)
Let the values of x = { 0 , 3 , 6 }
Let the values of y = { 3 , 6 , 9 }
Now , the proportional equation is y = 3x
So , the proportionality constant is k = 3
b)
Let the values of x = { 0 , 6 , 12 }
Let the values of y = { 0 , 3 , 6 }
Now , the proportional equation is x = 2y
So , the proportionality constant is k = 2
Hence , the equations are y = 3x and x = 2y
To learn more about proportion click :
brainly.com/question/7096655
#SPJ1
Solve the system of linear equations using the elimination method: 2x + 2y = 16 -2x +3y = 14
Answer:
Step-by-step explanation:
soulution:
given, 2x +2x = 16 - 2x + 3y = 14
2x + 2x = -2y +3y = 14 -16
4x = y = -2
y = 4x = -2
y = x = 4/-2
x = y = -2 ans
Can someone solve ASAP
Answer:
18.5 in=decimal feet,
Step-by-step explanation:
1)18.5/12=18.512
2)18.512=1.542 feet
Express as a single fraction and find the domain
A single fraction will be;
⇒ 1/(y + 12)
And, Domain of this expression is,
⇒ Domain = (-∞, ∞) - { 12 }
What is mean by Fraction?A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.
Given that;
The expression is,
⇒ 4 / (y + 2) - 3 / (y - 2) + 12/ (y² - 4)
Now,
Since, The expression is,
⇒ 4 / (y + 2) - 3 / (y - 2) + 12/ (y² - 4)
Simplify the expression as;
⇒ 4 (y - 2) - 3 (y + 2) / (y-2) (y+2) + 12 / (y² - 4)
⇒ 4y - 8 - 3y - 6 / (y² - 4) + 12 / (y² - 4)
⇒ (y - 14) / (y² - 4) + 12 / (y² - 4)
⇒ (y - 14 + 12) / (y² - 4)
⇒ (y - 12) / (y- 12) (y + 12)
⇒ 1/(y + 12)
Hence, A single fraction will be;
⇒ 1/(y + 12)
And, Domain of this expression is,
⇒ Domain = (-∞, ∞) - { 12 }
Learn more about the fraction visit:
https://brainly.com/question/5454147
#SPJ1
What Is The Distance Between These Two Numbers?
(7,7) and (-9,7)
2 IMAGES BELOW! PLEASE HELP! Tysm <3
Answer:
y=2x+2
Step-by-step explanation:
Just look at the bottom dot which is 0,2 and y=2x+2 is the only one that works:
2=(2×0)+2
2=2
but the other is:
2=(3×0)
2=3
which isn't true,
therefore it must be the first one.
Cuál es la circunferencia de un círculo cuyo radio es de 9 cm?
WHATS THE FRACTION FOR 6 DOLLARS AND 14 CENTS
Answer:
[tex]6\frac{14}{100}[/tex]
Step-by-step explanation:
First, you make fourteen a fraction.
[tex]\frac{14}{100}[/tex]
Then, make it a mixed fraction by adding a six.
[tex]6\frac{14}{100}[/tex]
Lastly, have a great day! :)
vertical Angles and Linear Pairs
Answer:
Two angles are vertical angles if their sides form two pairs of opposite rays. 5 and 6 are a linear pair. Two adjacent angles are a linear pair if the form a straight line. Linear Angle Pairs add up to 180°.
Can someone help will give brainliest
Answer:
Looking at this, slope seems to be 2 for the graph
So, looking at your options, -4 is less than 2, therefore, the answer is
D, with slope -4
Answer:
D
Step-by-step explanation:
The graphed function rises 2 in y for each run of 1 in x
Therefor the slope is 2/1 = 2
-------------------------
A) goes up 6 for each run of 3
slope = 6/3 = 2
B) goes up 15 for each run of 3
slope = 15/3 = 5
C) this is in slope intercept for of y = mx + b
m is the slope = 6
D) this is in slope intercept for of y = mx + b
m is the slope = -4
-------------------------------------
only D has a slope less than 2
A new homeowner is purchasing a living room set for $2,975 and must decide between two financing offers.
Offer 1: $250 down payment, 24.90% interest rate, compounded monthly, for 3 years, with no payments due for 6 months and then fixed payments of $139.05 for the remainder of the loan term
Offer 2: $400 down payment, 22.90% interest rate, compounded monthly, for 3 years, with no payments due for 12 months and then fixed payments of $165.76 for the remainder of the loan term
Part A: What is the total cost of offer 1? Explain which technology you used to solve and each step of your process. (3 points)
Part B: What is the total cost of offer 2? Explain which technology you used to solve and each step of your process. (3 points)
Part C: Which financing offer should the new homeowner choose? Explain your reasoning. (4 points)
Answer:
To compare the two financing offers, we need to calculate the total cost of each offer.
Part A: What is the total cost of offer 1?
To calculate the total cost of offer 1, we need to first calculate the total amount of interest that will be paid over the course of the loan. We can do this using the following formula:
Total interest = (interest rate/12) * loan amount * number of payments
In this case, the loan amount is $2,975, the interest rate is 24.90%, and the number of payments is 36 (3 years * 12 months/year). Plugging these values into the formula, we have:
Total interest = (0.2490/12) * $2,975 * 36
Calculating, we find that the total interest is approximately $1,534.89.
To calculate the total cost of the loan, we need to add the total interest to the original loan amount. In this case, the total cost is $2,975 + $1,534.89 = $4,509.89.
Therefore, the total cost of offer 1 is $4,509.89.
Part B: What is the total cost of offer 2?
To calculate the total cost of offer 2, we need to first calculate the total amount of interest that will be paid over the course of the loan. We can do this using the following formula:
Total interest = (interest rate/12) * loan amount * number of payments
In this case, the loan amount is $2,975, the interest rate is 22.90%, and the number of payments is 36 (3 years * 12 months/year). Plugging these values into the formula, we have:
Total interest = (0.2290/12) * $2,
To continue the calculation of the total cost of offer 2, we need to calculate the total interest using the formula:
Total interest = (interest rate/12) * loan amount * number of payments
In this case, the loan amount is $2,975, the interest rate is 22.90%, and the number of payments is 36 (3 years * 12 months/year). Plugging these values into the formula, we have:
Total interest = (0.2290/12) * $2,975 * 36
Calculating, we find that the total interest is approximately $1,405.70.
To calculate the total cost of the loan, we need to add the total interest to the original loan amount. In this case, the total cost is $2,975 + $1,405.70 = $4,381.70.
Therefore, the total cost of offer 2 is $4,381.70.
Part C: Which financing offer should the new homeowner choose?
Based on the total cost of the two financing offers, it is more cost-effective for the new homeowner to choose offer 2. Offer 2 has a lower total cost ($4,381.70) compared to offer 1 ($4,509.89), so it would be the better choice for the new homeowner.
Step-by-step explanation:
For every boy taking classes at the music school, there are 3 girls who are taking classes at the school. If there are 128 students taking classes, write and solve a proportion to predict the number of girls taking classes at the school.
Answer:
There are 96 girls taking classes at the music school, while the number of boys is 32.
Step-by-step explanation:
Since for every boy taking classes at the music school, there are 3 girls who are taking classes at the school, if there are 128 students taking classes, for write and solve a proportion to predict the number of girls taking classes at the school you must perform the following calculation:
1 + 3 = 4
128/4 x 3 = Girls
32 x 3 = Girls
96 = Girls
Therefore, there are 96 girls taking classes at the music school, while the number of boys is 32.