Answer:
D. $2071.20
Step-by-step explanation:
The table tells you that Bob's monthly payment on a 4-year loan at 6.5% will be $23.71 per thousand borrowed. The sum of those 48 payments is ...
48 × $23.71 = $1138.08
That means, Bob pays $138.08 in total finance charge for each $1000 he borrows. He is borrowing 15 times $1000, so his total finance charge will be ...
finance charge = 15 × $138.08 = $2071.20 . . . matches choice D
Answer this question
Answer:
The answer is 10%
Step-by-step explanation:
Given,
C.P = 50
Profit = 5
So, S.P = 55
Now,
[tex]Percentage=\frac{S.P-C.P}{C.P}=\frac{55-50}{50}=0.1[/tex]
= 0.1 × 100% = 10%
Hope you have understood this.....
ask me if you have any confusion.....
if you liked it pls mark it as the brainliest
Find the missing side. Round answer to the nearest tenth.
Tanθ = opposite / adjacent
[tex] \tan(32) = \frac{x}{25} \\ 0.624 = \frac{x}{25} \\ x = 15.6 \\ x = 16[/tex]
I hope I helped you ^_^
The expression below has _____ terms 4x - 8 + 2y - w
Answer:
4
Step-by-step explanation:
4x - 8 + 2y - w
None of the terms can be combined, so there are 4 terms
4x, -8, 2y, and -w
Which of the following equations has roots x = 3 (multiplicity 3) and x = -i?
A. f(x) = x3 - 3x2 + x - 3
B.f(x) = x + 9x4 + 28x3 + 36x2 + 27x + 27
C.f(x) = x - 9x4 + 28x3 – 36x2 + 27x – 27
D.f(x) = x3 + 3x2 + x + 3
Answer:
The first and third polynomials have roots in x = 3 and x = -i. (A, C)
Step-by-step explanation:
The quickest form to determine if [tex]x = 3[/tex] and [tex]x = -i[/tex] are roots consist in evaluating each polynomial and proving that result is zero.
A. [tex]f(x) = x^{3}-3\cdot x^{2}+x-3[/tex]
x = 3
[tex]f(3) = 3^{3}-3\cdot (3)^{2}+3-3[/tex]
[tex]f(3) = 27-27+3-3[/tex]
[tex]f(3) = 0[/tex]
x = -i
[tex]f(-i) = (-i)^{3}-3\cdot (-i)^{2}-i-3[/tex]
[tex]f(-i) = i + 3-i-3[/tex]
[tex]f(-i) = 0[/tex]
B. [tex]f(x) = x^{5}+9\cdot x^{4}+28\cdot x^{3} + 36\cdot x^{2}+27\cdot x +27[/tex]
x = 3
[tex]f(3) = 3^{5}+9\cdot (3)^{4}+28\cdot (3)^{3}+36\cdot (3)^{2}+27\cdot (3)+27[/tex]
[tex]f(3) = 2109[/tex]
x = -i
[tex]f(-i) = (-i)^{5}+9\cdot (-i)^{4}+28\cdot (-i)^{3}+36\cdot (-i)^{2}+27\cdot (-i)+27[/tex]
[tex]f(-i) = -i+9 -28\cdot i +36-27\cdot i +27[/tex]
[tex]f(-i) = -56\cdot i +64[/tex]
[tex]f(-i) = 64 -56\cdot i[/tex]
C. [tex]f(x) = x^{5}-9\cdot x^{4}+28\cdot x^{3} - 36\cdot x^{2}+27\cdot x -27[/tex]
x = 3
[tex]f(3) = (3)^{5}-9\cdot (3)^{4}+28\cdot (3)^{3}-36\cdot (3)^{2}+27\cdot (3)-27[/tex]
[tex]f(3) = 0[/tex]
x = -i
[tex]f(-i) = (-i)^{5}-9\cdot (-i)^{4}+28\cdot (-i)^{3}-36\cdot (-i)^{2}+27\cdot (-i)-27[/tex]
[tex]f(-i) = -i - 9+28\cdot i+36-27\cdot i-27[/tex]
[tex]f(-i) = 0[/tex]
D. [tex]f(x) = x^{3}+3\cdot x^{2}+x+3[/tex]
x = 3
[tex]f(3) = (3)^{3}+3\cdot (3)^{2}+(3)+3[/tex]
[tex]f(3) = 60[/tex]
x = -i
[tex]f(-i) = (-i)^{3}+3\cdot (-i)^{2}+(-i)+3[/tex]
[tex]f(-i) = -i+3-i+3[/tex]
[tex]f(-i) = 6-i\,2[/tex]
The first and third polynomials have roots in x = 3 and x = -i. (A, C)
Please help!! Thank you in advance! Will mark Brainliest!
Answer:
F , D, E
Step-by-step explanation:
The smallest angle is opposite the smallest side
The largest angle is opposite the largest side
DE is smallest so F is smallest
Then EF so D
DF is largest so E is the largest angle
Evaluate -3(8).
I know the answer is -24 but I don’t know who to work it out, can someone please help me
Answer:
-24
Step-by-step explanation:
-3 multiply 8 = -24
Because when ever you multiply a negative number with a positive number result will always be negative and 3 multiply 8 is 24.
Answer: -24
Step-by-step explanation: When you're asked to multiply
positives and negatives together, the rules are simple.
positive times a positive is a positive
positive times a negative is a negative
negative times a positive is a negative
negative times a negative is a positive
One way that I think will help you is to think
about the problem in terms of the signs.
If the signs are the same, the product will always be positive.
For example, (+3) · (+6) = +18 and (-6) · (-2) = +12.
If the signs are different, the product is negative.
So (+6) · (-4) is -24 and (-10) · (+5) is -50.
So don't get caught up on the signs.
Do the problem first, then determine if the
signs are the same or if they are different.
8 less than half of n
Answer:
n/2>8
Step-by-step explanation:
Half of N is N/2
And if 8 is less that half of N or N/2
then
N/2 has to be greater than 8
N/2>8
What are the vertical and horizontal asymptotes for the function f(x)=
3x2/x2-4
Answer: f(x) will have vertical asymptotes at x=-2 and x=2 and horizontal asymptote at y=3.
Step-by-step explanation:
Given function: [tex]f(x)=\dfrac{3x^2}{x^2-4}[/tex]
The vertical asymptote occurs for those values of x which make function indeterminate or denominator 0.
i.e. [tex]x^2-4=0\Rightarrow\ x^2=4\Rightarrow\ x=\pm2[/tex]
Hence, f(x) will have vertical asymptotes at x=-2 and x=2.
To find the horizontal asymptote , we can see that the degree of numerator and denominator is same i.e. 2.
So, the graph will horizontal asymptote at [tex]y=\dfrac{\text{Coefficient of }x^2\text{ in numerator}}{\text{Coefficient of }x^2\text{ in denominator}}[/tex]
i.e. [tex]y=\dfrac{3}{1}=3[/tex]
Hence, f(x) will have horizontal asymptote at y=3.
Form a formula based on the following situation
a) The sum of x and 2y is 14
Answer:
x + 2y = 14
Step-by-step explanation:
That’s the answer
label the parts of the expression for me please ️
Answer:
Step-by-step explanation:
3. When Antoine or Adriane is halfway to the top of the Ferris wheel, what is his or her elevation? (Use the
diameter of the Ferris wheel to determine the correct vertical shift for your modeling function.) (1 point)
Answer: 70
Step-by-step explanation:
Antoine's elevation when he is halfway to the top is 70. You cut the diameter (120) in half which gets you 60 and you add the height of the stand holding the wheel (10) which gets you 70.
The his or her elevation should be 70.
Calculation of the elevation:Since the diameter is 120 And, elevation of Antoine should be halfway to the top so here we split the diameter into half i.e. half of 120 is 60 and there is the height for stand holding the wheel i.e. 10
So, the elevation should be
= 60 + 10
= 70
Therefore, The his or her elevation should be 70.
Learn more about elevation here: https://brainly.com/question/16616666
Sally left Tampa traveling 66 mph. Keith, to catch up, left some time later driving at 75 mph. Keith caught up after 8 hours. How long was Sally driving before Keith caught up?
Answer:
9.1 hours
Step-by-step explanation:
Given
Sally
Speed = 66mph
Keith
Speed = 75mph
Time = 8 hours
Required
Determine how long Sally has traveled
To solve this, we make use of Speed formula.
Speed = Distance/Time
Make Distance the subject of formula
Distance = Speed * Time
For Sally:[Substitute 66mph for speed]
Distance = 66 * Time ------ Equation 1
For Keith [Substitute 75mph for speed and 8 hours for Time]
Distance = 75 * 8
Distance = 600m----- Equation 2
From the question, we understand that Keith caught up; this implies that they've both traveled the same distance.
Hence;
Equation 1 = Equation 2
66 * Time = 600
Time = 600/66
Time = 9.1 hours
Hence, Sally has traveled 9.1 hours
0.741 round to nearest one
Answer:
Step-by-step explanation:
Since round to the nearest one is too vague, i'll give everything this can be rounded too
Rounded to the nearest whole number
0.741 = 1
Rounded to the nearest tenth
0.741 = 0.7
Rounded the the nearest hundreth
0.741 = 0.74
Hopefully this helps
Please help At a party of 102 people, 72 lb of potato salad is served. Write and solve and equation to find how many people each pound of potato salad serves.
Answer:
1.417
Step-by-step explanation:
102/72=1.417
What is the volume of a right square pyramid with a height of 3cm and a base that measures 8cm by 8cm?
Answer:
64 cm^3
Step-by-step explanation:
Volume of a square pyramid is given by (side)^2*(height)/3. The volume of the pyramid in question is (8)^2*(3)/3=64 cm^3
Jonah will cover a cube in wrapping paper. Each edge of the cube is 25 cm long. What is the least amount of
wrapping paper he needs to cover the cube?
15 625 square centimeters
25 square centimeters
37.5 square centimeters
42 25 square centimeters
Save and Exit
Next
Subm
MO
Answer:
3750 cm²
Step-by-step explanation:
To find the answer, we need to find the surface area of the cube. The surface area formula for a cube is 6a² where a = the length of an edge. We know that a = 25 so the surface area is 6 * 25² = 6 * 625 = 3750 cm².
Answer:
37.5 hopefully this is the answer you were looking for!
Step-by-step explanation:
What is the minimum of 52, 59, 61, 65, 65, 71, 72, 73, 74, 76, 83, 88, 92, 94, 97, 98, 101, 102, 103, 110
Answer:
52
Step-by-step explanation:
The minimum of the data set is the smallest number. Therefore, the minimum is 52.
i need help with this asap plz in a hurry rushing; im desprateeeee
Answer:
19)tu=12
20) true
Step-by-step explanation:
19) (22+5x)+(19-2x)=35
3x+41=35
3x=-6
x=-2
TU=22+5*-2
=12
what is the sum of the rational expression below?
Answer:
D. [tex]\frac{9x^2+14}{18x}[/tex]
Step-by-step explanation:
Find the common denominator, 18x.
Simplify.
Add.
I hope this helps!
Answer: D
Step-by-step explanation:
Common denominator 18x
18x/2=9x.
(9x)(x) = 9x^2
18x/9x=2
(2)(7)=14
(9x^2+14)/18x
Consider the functions...
[tex]g(x) = \sqrt{x - 5} + 2 \\ g(5) = \sqrt{5 - 5} + 2 = 0 + 2 \\ g(5) = 2[/tex]
I hope I helped you^_^
5. Simplify: 2/5 +3/7+(-6/5)+ (-13/7)
Answer: -78 / 35
Step-by-step explanation:
Given
2/5 + 3/7 + (-6/5) + (-13/7)
Combine terms that have the same denominator
= 2/5 + (-6/5) + 3/7 + (-13/7)
= -4/5 - 10/7
Convert denominator by Least Common Multiple (LCM)
= (-4 × 7) / (5 × 7) - (10 × 5) / (7 × 5)
= -28/35 - 50/35
= -78 / 35
Hope this helps!! :)
Please let me know if you have any questions
Answer:
[tex] \frac{2}{5} + \frac{3}{7} + ( - \frac{6}{5} ) + ( - \frac{13}{7} ) \\ \frac{2}{5} + \frac{3}{7} - \frac{6}{5} - \frac{13}{7} \\ ( \frac{2}{5} - \frac{6}{5} ) + ( \frac{3}{7} - \frac{13}{7} ) \\ \frac{2 - 6}{5} + \frac{3 - 13}{7} \\ \frac{ - 4}{5} + \frac{ - 10}{7} \\ \frac{ - 4}{5} - \frac{10}{7} \\ \frac{ - 28 - 50}{35} \\ \frac{ - 78}{35} \\ - \frac{78}{35} [/tex]
[fill in the blank]
In this figure,AB and CD are parallel.
AB is perpendicular to line segment_____. If the length of EF is a units, then the length of GH is_____units.
Answer:
1. GH
2. a
Step-by-step explanation:
Perpendicular: When 2 lines meet at 90 degrees
1. It is line segment GH because AB and GH meet at a 90 degree angle (since there is a box at angle GHF indicating that it is 90 degrees)
2. It has to be a units because it is a rectangle where the top and bottom are congruent and the sides are too
This is a rectangle since AB and CD are parallel and GH can be a transversal line, according to same side interior angles theorem EGH is a also 90 degrees. That means FEG is 90 degrees too because then the quadrilateral will add up to 360 degrees
Find x and y in the figure
Answer:
x=10, y=25
Step-by-step explanation:
First, in a trapezoid, the two angles on the same leg (the legs are the opposite sides that are not parallel) add up to 180 degrees. Therefore, 4y as well as (2y+3x) are supplementary. We can write this out as
4y + (2y+3x) = 180
6y+3x = 180
Next, the angles of a triangle add up to 180 degrees. Therefore, as the angles 2y, 4y, and (5x-20) make up a triangle, they add up to 180 degrees. We can write this as
4y + 2y + (5x-20) = 180
6y + 5x -20 =180
Our two equations are thus
6y + 5x - 20 = 180
6y + 3x = 180
If we subtract 6y from both sides in each equation, we can say
5x - 20 = 180-6y
3x = 180-6y
Therefore, we can write
5x-20 = 180-5y = 3x
5x-20=3x
subtract 3x from both sides to make all x variables on the same side
2x-20 = 0
add 20 to both sides to isolate the x and its coefficient
2x = 20
divide both sides by 2 to isolate x
x = 10
Therefore,
x = 10
6y + 3x = 180
6y + 30 = 180
subtract 30 from both sides to isolate the y and its coefficient
6y = 150
y = 25
Dena uses 7.4 pints of white paint and blue paint to paint her bedroom walls. 2/5 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use yo paint her bedroom walls
Answer:
4.44 pints
Step-by-step explanation:
7.4 times 3/5
What is the answer please
Answer:
I think it should be (C)
Answer:
B
Step-by-step explanation:
The fastest way to solve this would to plug in a number for x such as 1 in both equations to find which 2 are equivalent.
When you plug 1 into the top equation it equals 3.5, so now we need to find the correct equation below that equals 3.5 when 1 is plugged in for x.
When you plug 1 into equation B you are also left with 3.5.
Which expression is not equivalent to the other expressions?
-6(2x-4)
-(12x-6)+18
-3(4x-3)+15
-4(3x+6)
what is the equation of the line that passes through (1,5) and (3,1)
Answer:
Below
Step-by-step explanation:
First let's find m
m = Δy / Δx = y2 - y1 / x2 - x1
= 1 - 5 / 3 - 1
= -2
Now to find b, you can sub in the values of (x,y) for (1,5)
5 = (-2)(1) + b
-b = -2 - 5
-b = - 7
b = 7
Final equation
y = -2x + 7
Hope this helped!
Answer:
4x + 2y - 14
Step-by-step explanation:
I hope it is understandable.
Plz help me out with this
Given,
HK is the perpendicular bisector of GJ. So, GK = KJ.GK = 2x + 10KJ = 3x - 15_______________
Find KJ .
_______________
First find the value of x
[tex] \sf \: GK \: = KJ \\\sf 2x + 10 = 3x - 15 \\\sf 2x - 3x = - 15 - 10 \\ \sf - x = - 25 \\ \sf \: - > \boxed{\bf \: x = 25}[/tex]
Now, find the value of KJ.
[tex]\sf3x - 15 \\ \sf= 3(25) - 15 \\ \sf=7 5 - 15 \\ = \boxed{\bf \: 60}[/tex]
-> The value of KJ is 60.
_______________
Hope it helps.
RainbowSalt2222
Answer:
KJ = 60
Step-by-step explanation:
In order to find the length of KJ we must find the value of x
Perpendicular bisectors split lines into two EQUAL parts.
If GJ is bisected then the two parts that make it up are equal to each other.
In other words GK = KJ
If GK = 2x + 10 and KJ = 3x - 15 then
2x + 10 = 3x -15
Solve for x
2x + 10 = 3x -15
Subtract 2x from both sides
10 = x - 15
Add 15 to both sides
x = 25
Now to find KJ we simply plug in the value of x into KJ's given expression
Expression given: 3x - 15
x = 25
KJ = 3(25) - 15
Multiply 3 and 25
KJ = 75 - 15
Subtract
KJ = 60
Given 12 consecutive integers, how many ways can three of these integers be selected to give a sum which divides by 4.
Disclaimer: A lot of points to be given, Full explanation required. Not only answer. Remember the sum of the number must be divisible by 4. I think modular arithmetic is the way to solve it, but who knows???
Answer:
55 waysStep-by-step explanation:
Out of 12 consecutive integers:
3 - divide by 4, so the remainder is 0 3- give remainder of 1 3- give remainder of 2 3 - give remainder of 3Sum of 3 integers will be divisible by 4 if the remainders are:
0 - 0 - 0 ⇒ 1 combination 0 - 1 - 3 ⇒ 3*3 = 9 combinations 0 - 3 - 1 ⇒ 3*3 = 9 combinations 1 - 1 - 2 ⇒ 2*3 = 6 combinations 1 - 2 - 1 ⇒ 2*3 = 6 combinations 2 - 1 - 1 ⇒ 2*3 = 6 combinations 3 - 0 - 1 ⇒ 3*3 = 9 combinations 3 - 1 - 0 ⇒ 3*3 = 9 combinationsSo total number of combinations is:
1 + 9*4 + 6*3 = 55 Jessica recently purchased her dream car a Porsche 911. for $55,000. the value of this car will depreciate by 8% each year. Find the value of the car after 5 years.
55,000(0,92)^5= $36,249.
Answer:
The future value of the car after 5 years is $36,249.5
Step-by-step explanation:
Given the value at which a car depreciates, we are interested in finding the value of the car after a period of 5 years.
To find the value, we make use of an exponential equation;
The exponential equation to use is;
FV = PV(1 - r)^n
where FV is the future value of the car which is what we want to calculate
PV is the present value of the car which is $55,000
r is the depreciation percentage = 8% = 8/100 = 0.08
n is the number of years.
So now, we input these values into the formula;
FV = 55,000(1 -0.08)^5
FV = 55,000(0.92)^5
FV = $36,249.5