Answer:
Last option
Step-by-step explanation:
Fritz Benjamin buys a car costing $24600. He agrees to make payments at the end
of each monthly period for 6 years. He pays 7.2% interest, compounded monthly.
What is the amount of each payment? Find the total amount of interest Fritz will
pay.
Answer:
$525.62
$13,244.64
Step-by-step explanation:
A = P(1 + r/n)^nt
Where,
A = future value = ?
P = principal = $24,600
r = interest rate = 7.2% = 0.072
n = number of periods = 12
t = time = 6 years
A = P(1 + r/n)^nt
= 24,600(1 + 0.072/12)^12*6
= 24,600(1 + 0.006)^72
= 24,600(1.006)^72
= 24,600(1.5384)
= 37,844.64
12 months × 6 years = 72 months
Each monthly payment = Total payment / number of months
= $37,844.64 / 72
= $525.62
Total amount of interest = Total payment - Principal payment
= $37,844.64 - $24,600
= $13,244.64
Simplify
2(x+7) 2x + 20
- 2 =
x+4
2x + 8
Answer:
x = 0
Step-by-step explanation:
2(x+7) 2x + 20 - 2 = x+4(2x + 8) start by distributing
2(x+7) would be 2x+14
4(2x+8) would be 8x+32
2x+14 x 2x + 20 - 2 = x + 8x + 32 now combine like terms
2x and 2x can be combined on the left side
x and 8x can be combined on the right side
4x + 14 + 20 - 2 = x + 8x + 32
4x + 32 = 9x + 32 you can now solve this equation
start by subtracting 4x on both sides
32 = 5x +32 now subtract 32 on both sides
0 = 5x so x = 0
Answer:
x = 0
2(x+7) 2x + 20 - 2 = x+4(2x + 8) start by distributing
2(x+7) would be 2x+14
4(2x+8) would be 8x+32
2x+14 x 2x + 20 - 2 = x + 8x + 32 now combine like terms
2x and 2x can be combined on the left side
x and 8x can be combined on the right side
4x + 14 + 20 - 2 = x + 8x + 32
4x + 32 = 9x + 32 you can now solve this equation
start by subtracting 4x on both sides
32 = 5x +32 now subtract 32 on both sides
0 = 5x so x = 0
The diameter of a circle measures 32 ft. What is the circumference of the cirle? Use 3.14 for n, and do not round tour answer. Be sure to include the correct unit in your answer.
Step-by-step explanation:
circumference=
π*d
3.14x32
=100.48
HELP!! Please, I'll give the first person to get it right a brainliest!
0.8/y =2: 3/4
Answer:
0.291 is the closest
Step-by-step explanation:
ok so 0.8/y=2 3/4
first of all turn it into a decimal
2 3/4= 2.75
2.75=0.8/y
0.8/?=2.75
What is the equation of this graphed line?
Enter your answer in slope-intercept form in the box.
Answer:
Step-by-step explanation:
y=1/2-5x
Answer:
y = -1/3x - 5Step-by-step explanation:
Using points on the graph to get the equation
Slope intercept form:
y = mx + bFrom the graph, point (0, -5) we can see y-intercept is b = -5
An calculating the slope using two points (-6, -3) and (6, -7):
m = (-7 - (-3)) / (6 - (-6)) = -4 / 12 = -1/3So the line is:
y = -1/3x - 5Please someone help me
m=69 miles
you can find this because if you divide the 9 by 6 as they are matching sides you get 1.5, take that number and multiply it by the 46 and get the 69! hope that helps :D
what is the slope between (0,-2) and (1,1)
Answer:
The slope would be 3
Step-by-step explanation:
Lmk if you need an explanation
Find two consecutive integers whose sum is 73. Which of the following equations could be used to solve the problem?
A. 2x = 73
B. 2 x + 2 = 73
C. x^2 + 1= 73
D. 2x + 1 = 73
Please help me with these four questions and thanks
Answer:
number 21 should be adding the 28 to the 375 not subtracting it. the student didn't use inverse operation.
#19 should be A
#20 should be D
Step-by-step explanation:
18- 8x = 8 + 3(1 - 3x)
Work shown please!
Answer
7 = -x
Step-by-step explanation:
18- 8x = 8 + 3(1 - 3x)
18- 8x = 8 +3-9x
18- 8x = 11 - 9x
7- 8x = -9x
7 = -x
Answer:
x=-7
Step-by-step explanation:
step by step in picture.
Jennifer says the quadrilaterals below must be congruent because their angles are congruent. Is she correct?
I've attached the complete question withe the 2 quadrilaterals.
Answer:
Jennifer is not correct because equal angles alone is not a proof of congruency.
Step-by-step explanation:
Now, in test for congruence, we use any of the following criteria;
SSS: Side - Side - Side
SAS: Side - Angle - Side
ASA: Angle - Side - Angle
AAS: Angle - Angle - Side
RHS: Right angle - Hypotenuse - Side
The assumption in the question is that all the angles are equal to determine that the quadrilaterals are congruent.
However, we don't use AAA(Angle - Angle - Angle theorem) as a congruence proof because it's very possible to have all the internal angles equal and yet all the corresponding sides don't have the same length.
Thus, Jeniffer is not correct.
What is the inverse of the function f(x) = 2x - 10?
Answer:
[tex]\huge\boxed{f^{-1}(x)=\dfrac{1}{2}x+5}[/tex]
Step-by-step explanation:
[tex]f(x)=2x-10\to y=2x-10\\\\\text{exchange x to y and vice versa}\\\\x=2y-10\\\\\text{solve for}\ y\\\\2y-10=x\qquad|\text{add 10 to both sides}\\\\2y-10+10=x+10\\\\2y=x+10\qquad|\text{divide both sides by 2}\\\\\dfrac{2y}{2}=\dfrac{x}{2}+\dfrac{10}{2}\\\\y=\dfrac{1}{2}x+5[/tex]
Sahil has a fish tank in the shape of a cuboid, as shown in the diagram
Answer:
12
bcz he can't put a 0.725 fish so it will be rounded up back to 12
The greatest number of neon tetra fish he puts in the tank is 12.
What is cuboid?A cuboid is a solid in three dimensions with six rectangular faces, eight vertices, and twelve edges. Three dimensions, including length, breadth, and height, define a cuboid. A cuboid with integer edges is referred described as being perfect.
Given:
Sahil has a fish tank in the shape of a cuboid, as shown in the diagram.
The tank is 55 cm wide, 28 cm long and height is 33 cm.
And the surface of the water in the tank is 3 cm below the top of the tank.
That means,
to determine the volume,
So, the volume of cuboid
= 55 x 28 x 33
= 50820 cubic centimeters.
And we know 1000 cubic centimeters is 1 liter of water.
So, 50820 = 50.820
And divide by 4
We get the greatest number of neon tetra fish he puts in the tank.
50.820 / 4
= 12.705
≈ 12
Therefore, 12 is the required number for neon tetra fish.
To learn more about the cuboid;
https://brainly.com/question/29568631
#SPJ2
Like y'all is so nice for helping me because this work is so hard so can yall help me and i will give barinlest☺️
Answer:
The answer is A I hope it’s right
Step-by-step explanation:
405-319=86
whats the slope of 10x+4y=-20
Answer:
In Explanation
Step-by-step explanation:
First, you should put the equation in slope intercept form (y = mx + b), where m is the slope.
10x + 4y = 20
Isolate the y term
10x + 4y – 10x = 20 – 10x
4y = 20 – 10x
Rearrange the terms
4y = –10x + 20
Divide both sides by 4
4y4=−10x+204
y=−104x+5
The slope of the given line is –10/4. A perpendicular line will have a slope with the opposite reciprocal. In simpler terms, you flip the slope and change the sign, therefore, the opposite reciprocal is 4/10.
Graph the line with slope 2/3 passing through the point (-1,3)
Answer:
Step-by-step
Plot the point (-1,3) and from the point rise up 2 points and run across 3 points, which will give the second point.
A group of friends receives a dinner bill for $87.50$87.50. The sales tax rate is 5%5%. They want to leave a 15%15% tip on the total bill after tax. How much money will they pay for their dinner with tax and tip?
Answer:
105.66
Step-by-step explanation:
87.5 times 1.05= 91.875
then you do 91.875 times 1.15 = 105.656
Answer:
I got $105.66
Step-by-step explanation:
I multiplied the subtotal by .05(to represent sales tax %) then added the solution to $87.50. then I multiplied .15(tip) to $87.50. Added that to the previous solution and got $105.66. Read below for clarification.
87.50(.05) = 4.375(or 4.38)
87.50 + 4.375 = 91.875
87.50(.15) = 13.125
91.875 + 13.125 = $105.66
HURRY PLEASE HELP ME!!!This graph shows a bicyclist moving at a constant rate. Write and equation for bicycle rider A.
Answer:
y= 30x
tep-by-step explanation:
i need help with this
Answer:
y= -5x+3
Step-by-step explanation:
Just replace the m and b by the m and b values they gave you
y=-5x+3
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
H
S
45°
299
N
106
E
29°
А A A
Answer:
Can you pls write it straight
Step-by-step explanation:
Shanika and Vanesa are comparing their electric bills for the past month. Shanika is on a standard u
is on an interval use plan. Each person's usage is listed on the chart below:
Standard Use Plan
7.5 cents/kWh for the first 400 kWh
10 cents/kWh for the next 400 kWh
12.5 cents/kWh for anything over 800 kWh
Interval Use Plan
On-peak hours - 15 cents/kWh
Off-peak hours - 3 cents/kWh
Both women use 1,325 kWh for the given 30 day period. Vanesa uses 500 kWh during on-peak hours
peak hours. Which person ends up paying more for their utilities? How much more?
a. Vanesa pays $35.88 more than Shanika.
b. Vanesa pays $99.75 more than Shanika.
C. Shanika pays $35.88 more than Vanesa.
d. Shanika pays $99.75 more than Vanesa.
Answer:
C
Step-by-step explanation:
EDGE2021
In order to keep a specific bacteria alive, the tempature in a science lab, cannot exceed -20F. The electricity went out, when the tempature was -72F, but is increasing at a rate of 6.5 per hour. How many hours do the scientist have until the bacteria is not safe?
Answer:
At most 8 hours
Step-by-step explanation:
Given
[tex]Maximum = -20F[/tex]
[tex]Rate = 6.5/hour[/tex]
[tex]Base\ Temperature =-72F[/tex]
Required
Determine the time taken
Represent time by t.
The relationship between all parameters is:
[tex]Maximum = Base\ Temperature + Rate * t[/tex]
[tex]Base\ Temperature + Rate * t \leq Maximum[/tex]
This is so (≤) because, according to the question, the temperature can not exceed the maximum.
So, we have:
[tex]-72 + 6.5*t \leq -20[/tex]
[tex]-72 + 6.5t \leq -20[/tex]
Collect Like Terms
[tex]6.5t \leq -20 + 72[/tex]
[tex]6.5t \leq 52[/tex]
Solve for t
[tex]t \leq 52/6.5[/tex]
[tex]t \leq 8[/tex]
Hence, they have at most 8 hours
2. Find the smallest number by which each of the following numbers must be multipliet
to obtain a perfect cube.
(i) 243
(ii) 256
(m) 72
(iv) 675
(v) 100
3. Find the smallest number by which each of the following numbers must be divided to
obtain a perfect cube.
(i) 81
(i) 128
(iii) 135
(iv) 192
(v) 704
Answer:
Step-by-step explanation:
2)-2(1-5) what’s the answer ?
Answer:
-2(1 - 5) = 8Step-by-step explanation:
-2(1-5) first parenthesises
= -2(-4) next multiplication (the product of two negative numbers is positive)
= 8
Peter, Bridget and Caroline share some sweets in the ratio 4:3:1. Peter gets 20 sweets. How
many sweets are there altogether?
Please help
Find the area of a triangle with sides of length 7 and 9 and included angle 72 degree.
Answer:
A = 29.96
Step-by-step explanation:
Area of a triangle
Side Angle Side (SAS) Method :
Given a triangle with two known sides a and b, and their included angle C, the area can be calculated as follows:
[tex]\displaystyle A=\frac{a.b.\sin(C)}{2}[/tex]
The triangle has sides of lengths a=7 and b=9 and their included angle is C=72°. Substituting:
[tex]\displaystyle A=\frac{7\cdot 9.\sin(72^\circ)}{2}[/tex]
A = 29.96
The diagram below represents which percent?
An area model with 32 shaded sections and 68 unshaded sections.
3.2%
8%
32%
42%
Answer:
32 percent
Step-by-step explanation:
32 plus 68 =100
32 divided by 100 equals .32 or 32 percent
Answer:
Your answer is C, 32%
Step-by-step explanation:
It is 32% because if there is 32 shaded and 68 unshaded you would count the ones that are shaded which would be 32%.
20 – 3n > 7n show work
Answer:
n>5
Step-by-step explanation:
move the 20 onto the other side of the > by subtracting 20 on the left side and adding 20 on the right side
now you have
-3n>7n-20
move the 7n onto the other side the same way. subtract 7n from one side and add it to -3n. now you have
4n>20
this is called adding similar terms or inverse operations what ever you wanna call it. Now you divide N by 4. This is because 4n can be simplified to 4×N and the opposite of multiplication is division. you do the same on the other side.
n/4>20/4.
you are left with n>5
Answer:
n<2
Step-by-step explanation:
Subtract 20 from both sides 20-3n-20>7n-20
Simplify -3n>7n-20
Subtract 7n from both sides -3n-7n>7n-20-7n
Simplify again -10n>-20
multiply both sides by -1 (-10n)(-1) < (-20)(-1)
Simplify 10n<20
Divide both sides by 10 Then you get your answer
The school band is selling candy to raise $1,800.00 to pay for their trip to a band festival. The band earns $1.50 from every box of candy sold. Kayla solved the inequality 150 x greater-than-or-equal-to 1,800 to find the number of boxes the band must sell to meet their goal. She graphed her solution on a number line and interpreted the solution to mean the band will meet their goal if they sell fewer than 12 boxes.
A number line going from 6 to 16. A closed circle is at 12. Everything to the right of the circle is shaded.
What errors did she make? Select two options.
o She used the wrong coefficient for x in her inequality.
o She should have used the less than or equal to symbol instead of the greater than or equal to symbol.
o She interpreted the graph incorrectly.
o She graphed a solution set that does not match her inequality.
o The graph should have an open circle at 12.
Answer:
The answers are
A - She used the wrong coefficient for X in her Inequality.
B- NO
C- She interpreted the graph incorrectly.
D-NO
Step-by-step explanation:
Answer:
A and C
Step-by-step explanation:
Took test on edge :)
The perimeter of a rectangular painting is 348 centimeters. If the width of the painting is 82 centimeters, what is its length?
1 centimeters
Answer:
Step-by-step explanation
Given
The perimeter of a rectangular painting =348 centimeter
the width of the painting=82cm
Solution
Perimeter of the rectangular painting=2(length+width)
2(Length +width)=348
2(Length+82)=348
2l+164=348
2l=348-164
2l=184
Length=184/2
So length =92cm.