In 2014, the average price of a new car was $37,600. For the period shown, new-car prices increased by approximately $1250 per year. If this trend continues, how many years after 2014 will the price of a new car average $46,350? In which year will this occur?
Answers
The year in which the average price of a new car would average $46,350 is 2021.
In which year would the price of a new car average $46,350?The price of a new car increases by $1250 per year. This is known as appreciation. The value of a new car can be represented with this equation:
Value of new car = value of the car now + (rate of increase x number of years)
Number of years = value of the new car - value of the car now) / rate of increase
(46350 - 37600) / 1250 = 7 years
7 + 2014 = 2021
To learn more about appreciation, please check: https://brainly.com/question/26847097
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4 mg string streched and spring constant 20cm what force constant
Answers
Find the exact value of tan 195°.
Answers
[tex]\tan 195^{\circ}\\\\=\tan\left(3 \times 90^{\circ} - 75^{\circ} \right)\\\\=\cot 75^{\circ}\\\\=\left(\tan 75^{\circ} \right)^{-1}\\\\= \textbf{[}\tan \left(30^{\circ} + 45^{\circ}\right) \right \textbf{]}^{-1}\\\\=\left(\dfrac{\tan 30^{\circ} +\tan 45^{\circ}}{1- \tan 45^{\circ} \cdot \tan 30^{\circ}} \right)^{-1}\\\\\\=\left( \dfrac{\dfrac 1{\sqrt 3}+1}{1- \dfrac 1{\sqrt 3}} \right)^{-1}\\\\\\=\left( \dfrac{\sqrt 3+1}{\sqrt 3-1}\right)^{-1}\\\\\\=\dfrac{\sqrt 3-1}{\sqrt 3 +1}\\[/tex]
[tex]=\dfrac{\left( \sqrt 3-1\right)^2}{\left( \sqrt 3+1\right)\left( \sqrt 3-1\right)}\\\\\\=\dfrac{3+1-2\sqrt 3}{3-1}\\\\\\=\dfrac{4-2\sqrt 3}{2}\\\\\\=2-\sqrt 3[/tex]
what is this sphere’s volume? radius is given, please round to nearest tenth
Answers
Answer:
179.59438
rounded to the nearest tenth would be 179.6
Step-by-step explanation:
use this formula
volume = (4/3) · π · r3
Rule 1: Multiply by 2, then add one third starting from 0. Rule 2: Add one half, then multiply by 4 starting from 1. What is the third ordered pair using the two sequences?
(0, 1)
(one third, 6)
(1, 26)
(two and one third, 106)
Answers
Answer:
i dont know at all im stuck to
Step-by-step explanation:
The third ordered pair using the two sequences as described in the task content is; (two and one third, 106).
What is the third ordered pair of the two sequences?It follows from the description of the task content that the third ordered pair of each sequence is as follows;
Sequence 1; 0(2)+1/3 = 1/3(2) + 1/3 = 1(2) + 1/3 = 2 1/3.Sequence 2; (1+1/2)4 = (6+1/2)4 = (26 +1/2)4 = 106.On this note, it follows that the required ordered pair is; (two and one third, 106).
Read more on sequences;
https://brainly.com/question/6561461
Please help! I wish you a good day :)
Answers
Answer:
A=p2-2p-3
Step-by-step explanation:
The area for a triangle is given by:
A=1/2bh
The base is p + 1 and the height is 2p - 6. Therefore:
A=1/2(p+1)(2p-6)
Simplify the second term:
A=(p+1)(1/2)(2p-6)=(p+1)(p-3)
Distribute:
A=p(p-3)+1(p-3)
Distribute:
A=p2-3p+p-3
Combine like terms:
A=p2-2p-3
Please I need help!!
Answers
Answer:
Min:3 Q:66-9 Med:9 Q3:10-14 Max19
4 1/2 x 2 1/2 x 8 1/2 =
Answers
Answer:
[tex]95\frac{5}{8}[/tex]
Step-by-step explanation:
[tex]4\frac{1}{2} * 2\frac{1}{2} * 8\frac{1}{2}[/tex] = 9/2 * 5/2 * 17/2
765/8 = [tex]95\frac{5}{8}[/tex]
If r = 11, t = 3, s = 9, then 8r - 10s =
Answers
Answer:
-2
Step-by-step explanation:
plug values for r and s into the equation 8r - 10s.
so, 8(11) - 10(9)
88 - 90 = -2
hope this helps!
what is 6/4 in its simplst form
Answers
Answer:
Fraction form: [tex]\frac{3}{2}[/tex]
Decimal form: 1.5
Mixed number form: 1 [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Find the greatest common factor between the two numbers in the fraction, in this case the largest number both can be divided by equally is 2, so,
Take [tex]\frac{6}{4}[/tex] and divide both parts by 2:
6 ÷ 2 = 3
4 ÷ 2 = 2
Which gives you [tex]\frac{3}{2}[/tex]
doess 0.6 come between 0.5 and 0.55
Answers
Answer:
no
Step-by-step explanation:
it comes after both the numbers
If you wanted to do this to make it easier, write .5 and .6 with an extra 0
Treat it as if it were a whole number
Does 60 go between 50 and 55? Your answer would be no. But just remember if you do this to remember adding a 0 at the end doesn’t change its value.
Solve the following:
four and seven twelfths plus six and nine twelfths
Answers
Ans:
11 and four twelfths
Step-by-step explanation:
PLEASE HELP *URGENT*
Answers
Answer: I have completed the worksheet in the image provided
Answer:
The full equation is below. :) I hope this helps! Have a lovely day/night!!
Step-by-step explanation:
[tex]\frac{z}{2} + 7 = 35\\\\-7 -7\\\\2 * \frac{z}{2} = 28 * 2\\\\z = 56[/tex]
For $1.80 a grocer buys a case of fruit which contains 12 dozen. He knows that 2 dozen will spoil before he sells them. At what price per dozen must he sell the good ones to gain 1/3 of the whole cost?
Answers
Answer:
i didnt understand the awnser fully but if i did the awnser is 5 cents a donut
Step-by-step explanation:
10x = 1.5(1.80*12)
x = 3.24
When should you suggest that a peer rearrange some of the paragraphs in her report?
when you’re having trouble understanding how the sentences are related to each other
when the most convincing or persuasive evidence appears first in the report, followed by background information
when you find a section that seems unrelated to the rest of the report
Answers
The main answer:
D: when you find a section that seems unrelated to the rest of the report
Step-by-step explanation:
I don't have an explanation for this, sorry!)
Hope it helps!
F r o g
Answer:
D: when you find a section that seems unrelated to the rest of the report
Step-by-step explanation:
What is the rule for 1 10 28 64 136
Answers
Answer:
2x+8
Step-by-step explanation:
The rule is 2x+8; the formula you have written and erased was correct. The next number in the sequence would be 568
1 yard (yd) = 3 feet (ft); 1 foot (ft) = 12 inches (in) how many inches are there in 5 yards?
Answers
Answer: 180 inches
Step-by-step explanation:
We can use dimensional analysis. Our desired units are inches per yard. Begin by writing down:
[tex]\frac{12in}{1ft}[/tex]
Then use the conversion factor of feet to yard. The units of feet will cancel giving:
[tex]\frac{12in}{1ft} *\frac{3ft}{1yd}=\frac{36in}{1yd}[/tex]
Multiply the top and bottom by 5 to get:
[tex]\frac{36in}{1yd} *\frac{5}{5} =\frac{180in}{5yd}[/tex]
what is the value of the expression 1/12 divided by 36
Answers
Answer:
1/2÷36=1/432 maybe this is the answer
20 points if you answer please.. The container is partially filled with unit cubes. How many unit cubes fit in the container?
A drawing of a rectangular prism-shaped container partially filled with unit cubes. There are 9 cubes along the length, 7 cubes along the width, and 5 along with the height.
The container can hold
unit cubes.
Answers
Answer:
length times width times height. 9x7x5= 315 unit cubes
Step-by-step explanation:
Looking for the best answer on this
Answers
Answer:
[tex]\tt B)\: \cfrac{x+3}{x-3}[/tex]
Step-by-step explanation:
[tex]\tt \cfrac{5x+15}{5x-15}[/tex]
Factor out the common term 5
5x+15 → 5(x+3)
5x-15 → 5(x-3):-
[tex]\tt \cfrac{5\left(x+3\right)}{5\left(x-3\right)}[/tex]
Cancel the common factor → 5
[tex]\tt \cfrac{x+3}{x-3}[/tex]
Therefore, your answer is B!!
_____________________
use Mental Math to determine if the circumference of a circle with a radius of 5in will be greater than or less than 30 in write an argument that can be used to justify your solution
Answers
Answer:
It will be greater than 30.
Step-by-step explanation:
(Any following math is easy to do in your head and therefore mental math.)
In order to find the circumference, you multiply the diameter by pi.
The radius is half of the circumference so if you double the radius you get the circumference.
5 × 2 = 10
The default for pi is 3.14, so it's a little more than 3.
10 × 3 = 30
If just 3 is 30, then anything more ( like the 0.14), will make it over 30.
Brainliest please?
Vectors r, s, t, u, and v are shown on the graph.
Which of the following vectors is equivalent to 2/3v (Image shown)
Answers
I neeed hellppppp plissss
Answers
Answer:
I believe C is the closest equation to the graph
Step-by-step explanation:
Which expression is equivalent to |x| < 11?
x > –11 or x < 11
x < –11 and x > 11
x < –11 or x > 11
x > –11 and x < 11
Answers
Find the slope and the y intercept of the line -7x-2y=10
Answers
Answer:
Gradient = -3.5, y - intercept = ( 0 , -5 )
Step-by-step explanation:
→ Rewrite into y = mx+ c format
-2y = 7x + 10
→ Divide everything by 2
-y = 3.5x + 5
→ Multiply everything by -1
y = -3.5x - 5
Frank got a gift for his sister and put it in a shoebox.
Note: Figure is not drawn to scale.
Now, he wants to wrap it with wrapping paper. If the length of the shoebox measures 12 in, the width measures 6 in, and the height measures 5 in, how much wrapping paper does he need to cover the shoebox?
A.
648 sq in
B.
162 sq in
C.
486 sq in
D.
324 sq in
Answers
We need TSA
2(LB+BH+LH)2(12×6+5×6+12×5)2(72+30+60)2(162)324in²Answer:
D. 324 in²
Step-by-step explanation:
Given :
Length of shoebox = 12 in
width = 6 in
height = 5 in
The Total surface area of cuboid = 2(lw + lh + wh )
=> 2 (12×5 + 12×6 + 5×6 )
=> 2( 60 + 72 + 30 )
=> 2( 162)
=> 324 in²
What is the measure of the angle?
Answers
Answer:
it a 90 degree angle hope this helps:)
Step-by-step explanation:
PEMDAS 4+5 x (6-2) what the answer
Answers
4+5 x (4)
4+ 20
24
Answer:4(5x+1)
Step-by-step explanation: you want to subtract the numbers 4+5x(6-2)/4+5x(4) so you'll need to multiply 5 and 4 so 4+5x*4 but i'm goin to make it smaller so it would be 4+20x but you have to rearrange it instead of it being 4+20x it would be 20x+4 .And the common factor would be 4(5x+1).
I hope this helps and makes sense.
how many inches are in 12 ft
Answers
Answer:
the answer is 144
Answer:
144 inches
Step-by-step explanation:
There are 12 inches in 1 foot,
So 12 times 12 is 144 inches.
8. Select the expression that is equivalent to 12/48.
A. 6(8+6)
B. 12(4+1)
C. 4(44+3)
D. 8(6+4)
Answers
Answer:
D
Step-by-step explanation:
Please help! I really need it
Answers
To find the volume of a triangular prism:
⇒ necessary to know the formula
[tex]Volume = (Area-of-Triangular- base)*(length)[/tex]
Let's first find the area of the triangular base:
⇒the formula for the finding the area of a triangle is ⇒ [tex]\frac{1}{2}bh[/tex]
b: length of base --> 3mmh: length of height: 6mmArea of the triangle is [tex]\frac{1}{2}*3*6=3*3=9[/tex]
Since the area of the triangular base is 9 and the length is 5.22
⇒ the volume is:
[tex]Volume = 9 * 5.22=46.98mm^3[/tex]
When the volume is rounded to the nearest tenth, the volume is 47.0 [tex]mm^3[/tex]
Hope that helps!