Given:
The initial value of the car = $75,700
Decreasing rate = 4.3%
To find:
The value of r in the exponential DECAY formula.
Solution:
The exponential decay formula is:
[tex]y=a(1-r)^t[/tex]
Where, a is the initial value, r is the rate of decay on decimal and t is the time period.
The initial value of the car is $75,700 and its value decreases 4.3% annually. So,
[tex]a=75,700[/tex]
[tex]r=\dfrac{4.3}{100}[/tex]
[tex]r=0.043[/tex]
The required exponential decay formula is:
[tex]y=75,700(1-0.043)^t[/tex]
Therefore, the value of r in the exponential decay formula is 0.043.
what is the surface area of the cylinder?
A)176[tex]\pi[/tex] cm^2
B)376.8cm^3
C)376.8cm^2
D)120[tex]\pi[/tex] cm^2
Answer:
Step-by-step explanation:
A=2πrh+2πr2
Putting values
2(22/7)(4)(11) + 2(22/7)(4)^2
= 376.8cm^2
Option C is the correct answer
Plz 50 points im desperate
A show pony weighs at least 900 pounds. After a recent weigh in, the owner of a show pony amended the diet of his pony, increasing the animal's caloric intake, with the hope that the pony would gain weight to be shown in a few months. The data shown in the table and scatter plot below represents the pony's additional daily caloric intake and recorded weight gain (in pounds) of the show pony over the last ten weeks.
Additional Daily Calories Consumed Weight Gained
(in pounds)
1,500 3
1,575 7
1,650 3
1,725 4
1,800 8
1,875 9
1,950 13
2,025 7
2,100 17
2,175 15
Part A: Use the data shown in the table and scatter plot to create an approximate equation for the line of best fit.
Part B: In complete sentences, describe the show pony's weight gain in terms of the units used in the data.
Part C: According to the equation for the best fit line for the data, approximately how much weight would you expect the pony to gain in a week if its additional daily caloric intake for that week is 2,300 calories?
An approximate equation for the line of best fit is y-hat = 0.018x - 24.5111.
How to explain the equation?A linear regression equation for the line of best fit would be y-hat = 0.018x - 24.5111 where
y-hat is the predicted value for the recorded weight gain (in pounds)
x is the additional daily caloric intake.
b) The pony's additional calorie intake increases, the weight gain also increases in pounds
c) Set x equal to 2300 and solve for y-hat:
y-hat = 0.018x - 24.5111
y-hat = 0.018(2300) - 24.5111
y-hat = 41.4 - 24.5111
y-hat = 16.8889
Therefore, the predicted value for the weight gain based on an additional 2300 calorie intake is 16.9 pounds.
Learn more about equation on:
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Erik took out a loan for $8400 for 6 years at a compound interest rate of 5.5%-
How much interest does Erik owe from the loan?
$11,582.28
$108,084.86
$2,772
$3,182.28
Answer:
$2772
Step-by-step explanation:
Given data
Principal= $8400
Rate= 5.5%
Time= 6 years
The expression for the simple interest on the loan is found using the expression below
SI= PRT/100
substitute
SI= 8400*5.5*6/100
SI= 277200/100
SI= $2772
Hence the simple interest is $2772
Answer:The answer is actually 3,182.28
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLIEST!!!
There are 35 rows in an auditorium. The first row has 38 seats. Each row after that has three more seats than the previous row.
a) write an explicit formula that represents the number of seats in one of the rows.
b) How many seats are in row 25?
c) How many total seats are in the auditorium?
Answer:
b
please correct if wrong
Step-by-step explanation:
What are the measurements of the garden?
Answer:
length 60 feet
length 2=60 feet
width 1=30feet
width 2=30feet
those is because there is 4 sides to a rectangle
Step-by-step explanation:
because the length is twice the width, 2x 30=length
4 to the power of 6 multiplied by 4 to the power of 7
Answer:
Step-by-step explanation:
it would be 67108864
Answer:
[tex]4^{13}[/tex]
Step-by-step explanation:
In exponents multiplication, if base are same , add the powers
[tex]a^{m}*a^{n} = a^{m+n}\\[/tex]
[tex]4^{6}*4^{7}= 4^{6+7} = 4^{13}[/tex]
find the area of the base on prism
find the slope and y-intercept of (x+2)(x+3)=(x-2)(x-3)+y
Answer:
Slope: 10
y-intercept: (0,0)
Answer:
Y-intercept is 0 and slope is 10x
Y = 10x - 0
Step-by-step explanation:
Find the shaded angle
Answer:
61.5°
Step-by-step explanation:
The triangle is isosceles , the radii are congruent , then the 2 base angles are congruent.
The vertex = 360° - 303° = 57
shaded angle = [tex]\frac{180-57}{2}[/tex] = [tex]\frac{123}{2}[/tex] = 61.5°
Find the area of the shaded region. Each shape is a square.
Answer:
the area of the 2in. one is 4in.²
the area of the 3in. one is 9in.²
the area of the 6in. one is 36in.²
Step-by-step explanation:
the formula for area of a square is a²
Find the distance between the points.
(5.10),(5,4)
The distance is
Answer: 6??
Step-by-step explanation: Cause they are right next to each other and if u want me to be more specific its 6 units down :)
Answer:
The distance will be √(x2-x1)^2+(y2-y1)^2
=√(5-5)^2+(10-4)^2
=√(0)^2+(6)^2
=√(6)^2
=6 units
Please help I do not know how to do this
Answer:
B)1,200
Step-by-step explanation:
If you add up the close at 10pm numbers you get 60. Since the total number of people surveyed was 200 and the question asks if there were 4,000 you would divide 4,000 by 200 and you would get 20. Then you should multiply 60 by 20.
Please Help me with the questions in the picture
Answer:
Dave and Anna:
1. Income highlight:
combined take home pay of $900/week
Total income: 4(900) - because 4 weeks in most months = $3600
-----------------------------
2. Expense highlights:
bi-weekly mortgage of $675
property taxes of $1800
Car expenses $160
Car insurance: $128
House insurance: $35
Saving for kids: $200
-------------
Expense calculations:
Mortgage bi-weekly = 675 x 2 = $1350/month
Property taxes = 1800/12 months/year = 150/month
everything else is already monthly
1350 + 150 + 160 + 128 + 35 + 200 = 2,023
---------------------------------------
income - expenses
$3600 - 2023 = $1,577 surplus
-----------------------------------------------------------------------------
Jacob:
Income highlights:
Canada Pension Plan $848/month
Old Age Security: $484/month
Total income: $1332
--------------------------
Expense highlights:
property tax: $3000/yr = $250/month
burial expenses: $100/month (for 6 more months)
golfing: $500/year = $41.67/month
bowling: $100/year = $8.33/month
Total expenses: 250 + 100 + 41.67 + 8.33 = 400
-----------------------------
Income - expenses:
1332 - 400 = $932 surplus
what does x = ?
please please help
Question
what does x = ?
please please help
5x(2x+20)= 90
10x=90-20
10x=70
x=70/10
x=7
plz give brainliest +thanks
Answer:
10°
Step-by-step explanation:
5x + 2x + 20° = 90° { Being complementary angles }
7x = 90° - 20°
7x = 70°
x = 70° / 7
x = 10°
Hope it will help :)❤
Select the correct product.
(x2 + 4x+8)(2x - 1)
0x2+6 x+7
O 2x2 -782-12 X-8
O2 x° +7 x2 + 12 x -8
0x2+8 -8
Randy is playing a number game. Beginning with the number 6, he adds 4, multiples by
5, and then divides by -10. He then subtracts 2. What number does he find at the end of
the game?
A. -7
B. -3.6
C. -4.6
D. -5
Each day Theo walks dog 15 minutes in the morning and 25 minutes in the afternoon evaluate the expression 7 x (15 + 25) to find how many minutes to theo dog each week
Answer:
280 minutes
Step-by-step explanation:
Given that :
Daily dog walk routine :
Minutes walked in the morning = 15
Minutes walked in the afternoon = 25
Number of days per week = 7
The number of minutes Theo walks dog per week :
Number of days per week * (minutes walked in the morning + minutes walked in the afternoon)
7 * (15 + 25)
7 * (40)
= 280 minutes
-1.52=3.8x
solve for x
Answer:
x = -0.4
Step-by-step explanation:
2 4/8 - 1 3/4 pls help i got 1 min
Answer:
1 1/8
Step-by-step explanation:
Broccoli costs $1.50 per pound at a store. how much money does 32 ounces cost
Answer:
$ 3.00
Step-by-step explanation:
1 pound = 16 ounces
2 pounds will cost 32 ounces
2 x $ 1.50
= $ 3.00
At a bake sale, plates of cookies, p, are sold for $5 each. The amount of money from the sale of cookies is expressed as dollars, d. Which equation represents the earnings of the bake sale?
Correct Question:
At a bake sale, plates of cookies, p, are sold for $5 each. The amount of money from the sale of cookies is expressed as dollars, d. Which equation represents the earnings of the bake sale?
1. p = 5d
2. d = p + 5
3. d = 5p
Answer:
3. d = 5p
Step-by-step explanation:
As one plate of cookies price is 5 $
The d is expressed as numbers of dollars which are earned.
Earnings = d = 5 x number of plates sold (p)
therefore
d = 5p
Answer:
d+p5
Step-by-step explanation:
0.8 k - 20 = -60
what does ‘k’ equal?
Answer:
K = -50
Step-by-step explanation:
0.8(-50) - 20 = -60, because 0.8(-50) = -40, and when you subtract a negative you would "add" those numbers. So it would be 40 + 20 = 60, which would make it -60.
Answer:
k equals -50Step-by-step explanation:
0.8 k - 20 = -60
0.8k = -60 + 20
0.8k = -0
k = [tex]\frac{-40}{0.8}[/tex]
k = -50
A theme park has a ride that is located in a sphere. The ride goes around the widest circle of the sphere which has a circumference of 558.92 yd. What is the surface area of the sphere?
Answer:
The surface area of the sphere is = [tex]99426.41 yd^2[/tex]
Step-by-step explanation:
The area of a sphere can be calculated using this formula:
[tex]A=4\pi r^2[/tex]
However, we have a little problem: we do not have our radius yet to utilize in the formula above.
We can get our radius from the circumference of the circle which has been given to us.
circumference = [tex]2 \times \pi \times r[/tex]
[tex]r = \frac{circumference}{2 \pi} = \frac{558.92yd}{2\pi} = 88.95yd[/tex]
We now have our radius. we can input it into equation 1 above
The Surface area of sphere = [tex]4 \times \pi \times 88/95^2 = 99426.41yd^2[/tex]
What is the point-slope form
Can someone please solve these and explain how to do it. I'll give the brainliest to the best answer.
Answer:
5) 1/19x^6
6) 14a^3
7) 3/8
8) (3)/4s^3 r^8
Step-by-step explanation:
(-) exponents flip it to the other side of the bar
x^-6 = 1/x^6
With positive exponents, the exponent with the lower power subtracts from the higher power
Adult tickets to Space City Amusement park cost x dollars. Children's tickets cost y dollars. The Henson family bought 3 adult tickets and 1 child ticket for $163. The Garcia family bought 2 adult tickets and 3 child tickets for $174. Which equation represents the Hensons' cost?
3x+y=163 2x+3y=174
it should be like this {: and each point is one.
The lengths, in minutes, of the movies currently showing at a movie theater are shown in the data set. Create a histogram that represents the data. Drag the top of each bar to the correct height.
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as the required lengths are not given.
I will use the following data set to answer the question.
[tex]Dataset: 35, 51, 39, 42, 68, 62, 32, 59[/tex]
First, is to determine the range of the dataset
[tex]Range = Highest - Least[/tex]
[tex]Range = 68 - 32[/tex]
[tex]Range = 36[/tex]
Next, we will make use of 4 classes. So, we divide range by 10 to get the number of class. 10 represents the interval
[tex]Class= Range/10[/tex]
[tex]Class = 36/10[/tex]
[tex]Class = 3.6[/tex]
[tex]Class \approx 4[/tex]
So, we use 4 classes
Plot the frequency distribution table as follows:
[tex]\begin{array}{ccc}{Intervals} & {Observations} & {Frequency} & {31-40} & {32,35,39} & {3} & {41-50} & {42} & {1} & {51-60} & {51,59} & {2} & {61-70} & {62,68} & {2}\ \end{array}[/tex]
See attachment for histogram
NO LINKS!! PLEASEE HELPP QUICK I POSTED THIS SO MANY TIMES AND NOBODY ANSWERS PLSSS HELP MEEE Write the slope-intercept inequality for the graph below. If necessary, use <=
fors or >= for >
Answer:
y < 4/3x - 2
Step-by-step explanation:
Another way to find slope is to subtract [tex]\frac{y_{1}-y_{2} }{x_{1} -x_{2} }[/tex]. We are given two points. We can subtract the two y-values from each other for the numerator, then do the same for the x-values in the same order for the denominator.
We subtract the y-value 2 from -6.
2 - - 6 can also be taken as 2 + 6.
2 + 6 = 8.
Then, subtract the x-values.
Subtract 3 - -3, or 3 +3.
3 + 3 = 6.
Our slope, then, is [tex]\frac{8}{6}[/tex]. We can simplify this to [tex]\frac{4}{3}[/tex].
Now we can find our y-intercept. The line intersects with the y-axis at the point (0, -2)
The shading is on the left side and the line is dotted, so our sign is <.
The inequality is y < 4/3x -2.
a balloon is released at ground level, and it rises into the air at a constant rate. after 12 seconds the balloon is 180 feet above the ground.
complete the table to describe the proportional situation. type your answers in the blanks.
Answer:
y = 15x
0=0, 1=15, 2=30, 3=45, 4=60, 5=75, 6=90
Step-by-step explanation:
180/12 = 15 ft/s
Therefore, every second, the balloon rises 15 feet.
Express 0.35 ( non terminating recurring ) in the form of p/q ??
Answer:
7／20
Step-by-step explanation:
[tex]0.35 = \frac{35}{100} = \frac{7}{20} [/tex]
Answer:
Step-by-step explanation:
Hello Dear!!!!
Here's your answer...
x=0.353535...
this is equation 1
multiply with 100
100x = 35.353535...
this is equation 2
equation 2 - equation 1
100x = 35.3535...
x = 0.3535...
________________
99x = 35
x = 35/99
35/99 is the answer....
________________________________________
HOPE THIS HELPS YOU...