The age of the car that Devon purchased is given by: Option C: 5 years
How to calculate compound interest's amount?If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:
[tex]CI = P(1 +\dfrac{R}{100})^T - P[/tex]
The final amount becomes:
[tex]A = CI + P\\A = P(1 +\dfrac{R}{100})^T[/tex]
We can use compound interest's formula (with a bit modification if necessary) whenever there is compounding on a base amount on some fixed rate for some time.
For this case, there is decrement happening, so rate can be taken negative. Thus, we take:
R = -35%
Let the car is T years old.
Then, as we have: Initial price of the car = P = $16000, and the final price of the car = A = $2000, thus, we get:
[tex]A = P(1 +\dfrac{R}{100})^T\\\\2000 = 16000(1 + (-35/100) )^T\\1/8 = (1-0.35)^T\\0.125 = 0.65^T\\\\T = log_{0.65}(0.125)\\T \approx 4.827 \approx 5 \text{ (in years) }[/tex]
Thus, the age of the car that Devon purchased is given by: Option C: 5 years
Learn more about compound interest here:
https://brainly.com/question/11897800
Answer:
C 5 years
Step-by-step explanation:
i want answer
step by step
process by process
who will give correct answer i make him as a brainlists
(Assuming all these lines are parallel to each other)
Angle x = 70, because it is corresponding to the 70 angle.
Angle y = 70, because it is corresponding to x
Angle z = 70, because angle z and angle y are alternate angles
(corresponding angles and alternate angles are equal to each other with the condition of parallel lines)
Jean wants to put furniture in her clubhouse. She drew a floor plan of the clubhouse, as shown. Each grid unit represents one foot.
PLEASE HELP ME
Answer:
hexagon24 ft of baseboardStep-by-step explanation:
1.You have correctly counted the 6 sides of the figure. A 6-sided polygon is a hexagon.
__
2.The length of baseboard needed is the length of the perimeter of the figure. That length is the sum of the side lengths. Starting from the lower left corner and working clockwise, the side lengths are ...
1 ft + 5 ft + 2 ft + 1 ft + 5 ft + 10 ft = 24 ft
24 feet of baseboard are needed.
__
Additional comment
The area of the figure can be found several ways. One of them is to subtract the corner cutout area from the overall rectangle area. The overall rectangle is 10 ft wide and 4 ft high, for an area of (10 ft)(4 ft) = 40 ft². The upper left triangle cutout is 4 ft wide and 3 ft high, for an area of (1/2)(4 ft)(3 ft) = 6 ft². The upper right trapezoid cutout has bases of 1 ft and 4 ft, and a height of 4 ft, so its area is 1/2(1 ft +4 ft)(4 ft) = 10 ft².
Then the clubhouse area is 40 ft² -6 ft² -10 ft² = 24 ft².
Need help with this pls
Answer:
Answer:
SORRY
Step-by-step explanation:
ANSWER
Step-by-step explanation:
Answer:
SORRY
Step-by-step explanation:
ANSWERAnswer:
SORRY
Step-by-step explanation:
ANSWER
Sam’s teacher asked him to make observations about animals at the zoo. sam went to the zoo and filled in these two charts that the teacher gave him. what is the main difference between the species in group 1 and group 2? question 3 options: group 1 has small organisms, group 2 has large organisms. group 1 are endothermic, group 2 are exothermic. group 1 are vertebrates, group 2 are invertebrates. group 1 has exoskeletons, group 2 has soft bodies.
The difference between group 1 and group 2 is the species of group 1 are vertebrates and species of group 2 are invertebrates.
What are vertebrates?Vertebrates are those animals that have a spinal cord.
Invertebrates are those who do not have a spinal cord or vertebrae.
The animals, of group 1 are alligator, fish, frog, bird, and zebra, all are vertebrates.
The animals of group 2 are jellyfish, octopus, tarantula, and earthworms.
Thus, the correct option is C, group 1 are vertebrates, and group 2 is invertebrates.
Learn more about vertebrates
https://brainly.com/question/8825342
I need help first answer gets brainliest
To find which fractions are equal to each other, we must simplify or multiply to both denominator and numerator:
[tex]\frac{2}{6} =\frac{1*2}{3*2} =\frac{1}{3}*\frac{2}{2}=\frac{1}{3}*1= \frac{1}{3} \\\\\frac{8}{1}=8\\ \\\frac{2}{4} =\frac{1*2}{2*2} =\frac{1}{2}*\frac{2}{2} =\frac{1}{2} *1= \frac{1}{2} =\frac{1}{2}*1 =\frac{1}{2}*\frac{4}{4} =\frac{1*4}{2*4}=\frac{4}{8} \\\\\frac{2}{8} =\frac{1*2}{4*2}=\frac{1}{4}*\frac{2}{2} =\frac{1}{4} *1 =\frac{1}{4} \\\\\frac{4}{4} =1[/tex]
Hope that helps!
Answer:
2/6 = 1/3
8/1 = 8
2/4 = 4/8
2/8 = 1/4
4/4 = 1
Step-by-step explanation:
2/2 = 1 and 6/2 = 3 so that would make the equivalent fraction 1/3
for 8/1 it is the same as just 8
2*2 = 4 and 4*2 = 8 so that would make the equivalent fraction 4/8
and 2/8 is 1/4
and 4/4 is just 1
PLEASE RATE!! I hope this helps!!
If you have any questions let me know
A 30-foot ladder is leaning against an office building. if the base of the ladder is
12 feet away from the base of the building, find the angle of elevation. round to
the nearest degree (whole number). really need this for a test
Angle of elevation would be 66 degrees
A family uses 12,986. 64 Swiss francs per year to pay a mortgage that requires US dollars. Approximately how much, in US dollars, does the family spend per month on the mortgage? 1 US dollar = 0. 9019 Swiss francs 1 Swiss franc = 1. 11 US dollar $975 $1,080 $1,200 $1,440.
Unit conversion is a way of converting some common units into another without changing their real value. The amount that is paid by the family in mortgage per month is equal to $1200.
What is Units conversion?Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.
As it is given to us that the family uses 12,986.64 Swiss francs per year to pay a mortgage. Therefore, the amount that is paid by the family in mortgage per month can be written as,
[tex]\text{Mortgage for a month} = \dfrac{\text{Mortgage of the family for a complete year}}{\text{Number of Months}}\\\\\\\text{Mortgage for a month} = \dfrac{\rm 12,986.64\ Swiss\ francs}{12} = 1082.22\rm \ Swiss\ francs[/tex]
Thus, the family needs to pay 1082.22 swiss francs every month in the mortgage.
Now, it is mentioned in the problem that 1 Swiss franc = 1.11 US dollars, therefore, 1082.22 swiss francs when converted to US dollars will be equal to,
[tex]\rm 1\ Swiss\ francs = \$1.11 \\\\1082.22\ Swiss\ francs = 1082.22 \times 1.11 = \$1,201.26 \approx \$1,200[/tex]
Hence, the amount that is paid by the family in mortgage per month is equal to $1200.
Learn more about Units conversion:
https://brainly.com/question/4736731
CAN SOMEONE PLEASE HELP ME ITS DUE TODAY
[tex] \qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Here we go ~
To find Highest common factor (HCF) we have to check what primes are common between them along with their exponent. And multiply them ~
here, we get [ 2³ and 3 as common ]
[tex]\qquad \sf \dashrightarrow \:HCF = {2}^{3} \times 3 [/tex]
[tex]\qquad \sf \dashrightarrow \:HCF = {8}^{} \times 3 [/tex]
[tex]\qquad \sf \dashrightarrow \:HCF = 24[/tex]
So, HCF of the given numbers is 24
Adjacent --------------------- Vertical
DBC and ABC
ABC and DBE
CBD and EBA
EBA and ABC
put them where they're supposed to go
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Adjacent Angles are the angles that shares a common arm, where as the vertical angles are the ones that are exact opposite to each other.
Now, since we know the concept, let's dig in ~
DBC and ABC - Adjacent ABC and DBE - Vertical CBD and EBA - VerticalEBA and ABC - AdjacentQuestion 9 of 10
The vertex of this parabola is at (-1,-3). Which of the following could be its
equation?
(-1,-3)
O A. x = -2(y + 3)2-1
O B. x= -2(y-3)2-1
O c. x=-264 - 1)2-3
O D. x= -2(y + 1)2-3
Answer:
A is the answer
// x = -2(y + 3)2-1
PLEASE HELP ME I am so confused about what they mean
Plot the point A (2, 3). Then, plot point B that is 4 right and 5 up from point A. 2. Plot the point C (9, 7). Then, plot another point D that is 8 left and 2 down from point C.
Answer:
Step-by-step explanation:
1. То find the coordinates of point B, since it is a translation of point A 4 units right and 5 units up, we can add 4 to the x coordinate of point A and add 5 to the y coordinate of point A. This gives us that B(2+4,3+5) = (6,8)
2. Similarly, we can subtract 8 from the x coordinate of point C and subtract 2 from the y coordinate of point C. This gives us that point D has coordinates (1,5).
Answer:
they want you to take what you have (point a and point c) and take the moving places and add it to their respected points
if that doesnt help then...
point A is (2,3)
point B is (2,3) + to the right 4 and up 5 which turns the 2 into a 6 and the 3 into an 8
point b is (6,8)
point c is (9,7)
point d is (9,7) + 8 spaces to the left and 2 spaces down which makes the 9 into a 1 and the 7 into a 5
point d (1,5)
Step-by-step explanation:
Solve the following question
Answer:
x=-1
Step-by-step explanation:
First we can square both sides to remove the square roots:
[tex](\sqrt{x+7})^{2} +(\sqrt{x+2})^{2} = (\sqrt{6x+13})^{2}[/tex]
Simplify:
[tex]x+7+x+2=6x+13[/tex]
Now we simplify further:
[tex]2x+9=6x+13[/tex]
Now we subtract 13 from both sides:
[tex]2x+9-13=6x+13-13[/tex]
Simplify:
[tex]2x-4=6x[/tex]
Subtract 2x from both sides:
[tex]2x-4-2x=6x-2x[/tex]
Simplify:
[tex]-4=4x[/tex]
Divide both sides by 4:
[tex]\frac{-4}{4} = \frac{4x}{4}[/tex]
Simplify:
-1=x
x=-1
what is Seven less than a number is the same as 2 more than twice the number as a equation?
Please Help 30 Points
Answer:
Step-by-step explanation:
Which postulate or theorem proves that these two triangles are
congruent?
HL Congruence Theorem
ASA Congruence Postulate
AAS Congruence Theorem
SAS Congruence Postulate
Answer: AAS
Step-by-step explanation:
solve for x.
x/2 + 6 = 24
Answer:
[tex]\displaystyle 36 = x[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{x}{2} + 6 = 24 \hookrightarrow 18[2] = \frac{x}{2}[2] \\ \\ \boxed{36 = x}[/tex]
I am joyous to assist you at any time.
Hey there!
x/2 + 6 = 24
1/2x + 6 = 24
SUBTRACT 6 to BOTH SIDES
1/2x + 6 - 6 = 24 - 6
CANCEL out/ 6 - 6 because it give you 0
KEEP: 24 - 6 because it help solve for the x-value
NEW EQUATION: 1/2x = 24 - 6
SIMPLIFY IT!
1/2x = 18
MULTPLY 2 to BOTH SIDES
1/2x * 2 = 18 * 2
CANCEL out: 1/2 * 2 because it give you 1
KEEP: 18 * 2 because it help solve for the x-value (it actually give you the x-value)
NEW EQUATION: x = 18 * 2 or x = 2 * 18
SIMPLIFY IT!
x = 36
Therefore, your answer is: x = 36
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
17. Billy purchased 100 shirts at a cost of $15 each and planned to resell them. The first
week he sold some of them for $25 each. The second week he sold the rest for $20 each.
If his total profit was $600, how many shirts did he sell the first week?
Answer:
2100
Step-by-step explanation:
What is 9 5/9-2 5/27?
Answer:
[tex]=7\frac{10}{27}[/tex]
Decimal: 7.37
Step-by-step explanation:
[tex]9\frac{5}{9} -2\frac{5}{27} =\frac{81+5}{9} -\frac{54+5}{27} =\frac{86}{9} -\frac{59}{27}[/tex]
[tex]\frac{258}{27} -\frac{59}{27} =\frac{199}{27}[/tex]
[tex]=7\frac{10}{27}[/tex]
Hope this helps
7. A study was done to determine the relationship between a person's screen time and their age.
A group of participants was asked to record their average daily screen time, in minutes, and
their age. The line of best fit for the data had the equation y=-3.2x + 273.4, where x was
the person's age and y was their screen time in minutes. Which of the following is the correct
interpretation based on this model?
For every year a person gets older, their screen time increases by 273.4 minutes.
(2) For every 3.2 years a person gets older, their screen time decreases by one minute.
(3) For every 3.2 years a person gets older, their screen time increases by 273.4 minutes.
(4) For every year a person gets older, their screen time decreases by, 3.2 minutes.
x=age
SC mins= -3.2 laget 273.
The true statement about the equation of the line of best fit (d) For every year a person gets older, their screen time decreases by 3.2 minutes
How to interpret the line of best fit?The equation of the line of best fit is given as:
y = -3.2x + 274.4
Where:
x represents the persons agey represents the average daily screen timeA linear equation is represented as:
y = mx + b
Where:
m represents the slopeb represents the y-interceptBy comparison, we have:
m = -3.2 and b = 274.4
This means that:
For every year a person gets older, the average screen time decreases by 3.2 minutes
Hence, the true statement is (d)
Read more about line of best fit at:
https://brainly.com/question/17261411
find the value of angle a
Answer:
angle A = 153 degrees
Step-by-step explanation:
solve for the interior missing angle.
so from the interior we know that we have 2 angles
1 is 63 degrees and 1 is 90 degrees because we see that there is a right angle and all right angles = 90 degrees, we also know that the sum of all angles in a triangle should equal 180 degrees. if we have a 63 degree angle and a 90 degree angle we know that the sum of both of them is 153 degrees we still need to find that missing angle and we can do that by minusing 153 from 180 which is 27 so the measurement of the interior angle of the triangle is 27 but that is not what we are looking for but the answer is already given to us because we know that a straight line is 180 degrees so we just minus that missing angle from 180 degrees we conclude that A = 153 degrees
Use the graphing calculator to graph the quadratic function y = x2 − 5x − 36. Which value is a solution of 0 = x2 − 5x − 36?
−9
−4
4
6
Answer: -4
Step-by-step explanation:
Once you graph it, the solutions are where the graph meets the x axis.
This is at -4 and 9.
3. Felipe is ordering new carpet for his bedroom floor. (The floor is represented in the picture below as
rectangle JKLM). He knows the base edge, ML, measures 18 ft. And the distance of diagonal KM
measures 25 ft. What is the area of Felipe's bedroom floor? Show all work and round your answer to
the nearest tenth.
Please helpp
Answer:
312.3 feet
Step-by-step explanation:
ML = 18 and KM = 25 so we can put together that JM = 17.35
17.35 x 18 = 312.3 ft
Hope this helps K12 students :)
PLS HELP ASAP THANKS ILL GIVE BRAINLIEST PLS THANKS PLS ASAP PLS PLS THANKSS
Answer:
FIRST ONE IS 300
Step-by-step explanation:
5X8X7.5=300 l x w x h
Answer:
Question A:
Your Answer would be:
C.) 300ft2
5 x 8 x 7.5 =
(5 x 8) x 7.5 =
40 x 7.5 = 300ft2
Question B:
Your answer would be:
C.) 39.25in2
(not very sure about this one let me know if it's right or wrong)
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
A model of a house is 6 inch wide and 8 inches long. If the actual house is
20 yards long, how wide is the actual house?
OA) 2.4 yd
OB) 4.8 yd
OC) 15 yd
OD 26 yd
Answer:
its 15 <3
Step-by-step explanation:
i did the quiz.
In the adjoining figure triangle PQR is similar to triangle PMN , PM= 2MQ And PN = 2NR . Determine ratio of MN/QR
The triangles PQR and PMN are similar triangles
The ratio MN/ QR is 2/3
How to detemine the ratio MN/QR?The question is incomplete, as the figure of the triangles are not given.
So, I will give a general explanation
The given parameters are:
PM= 2MQ
PN = 2NR
Rewrite PM= 2MQ as:
PM/MQ = 2/1
The equation becomes
PM/(PM + MQ) = 2/(2 + 1)
PM/(PM + MQ) = 2/3
Add PM and MQ
PM/PQ = 2/3
The above means that:
PM/PQ = MN/ QR = 2/3
Hence, the ratio MN/ QR is 2/3
Read more about similar triangles at:
https://brainly.com/question/14285697
pls answer carefully
Answer:
The value of k = 16 and the measure of unknown angle is 48°
Step-by-step explanation:
=> 84°+48°+3k° = 180° { The sum of angles of a triangle is 180° }
=> 132°+3k° = 180°
=> 3k° = 180°-132°
=> 3k° = 48°
=> k = 48/3
=> k = 16
The measure of unknown angle is 3×k = 3×16 = 48°
i need help on this pls
Pete's Pottery observes the heights of the vases in inventory. The results are represented by the box plot shown below.
Select all of the true statements.
The data recorded must have been for 24 vases.
The box plot also gives data on the heights of mugs in inventory.
The heights are measured in centimeters.
The box plot gives data on the heights of vases in inventory.
There must be between 6 and 12 vases in inventory.
The heights are measured in inches.
Answer:
The box plot gives data on the heights of vases in inventory.The heights are measured in inches.Step-by-step explanation:
Given the question and the image, the following are the solution steps to answer the question.
STEP 1: Define box plot.
In descriptive statistics, a box plot or boxplot is a method for graphically demonstrating the locality, spread, and skewness groups of numerical data through their quartiles.
STEP 2: Choose the correct statement
The box plot shows the minimum height, maximum height, first and third quartiles, and the median.
Therefore,
The box plot does not show the number of vases recorded
The box plot does not show the heights of mugs, just vases.
The height is measured in inches, not centimeters.
please please me please
Answer:
3
Step-by-step explanation:
it is 3 because if the x value is 5 then the y value is 3
please answer fast this answer with image
Answer:
3/2
use a calculator to try it on your own
do the 1/4 - 4/9 (4/2/3-11/12) first
then times 9/17
then plus 1/1/8
at last divide by 9/16