Answer:
A) car 1: exponential
car 2: linear
B) car 1: [tex]f(x)=18500(0.94)^{x-1}[/tex]
car 2: [tex]f(x)=-1000x+19500[/tex]
C) Yes, there will be a significant difference of $1,100.40 which is approx 10% of the value of the cars after 10 years.
Step-by-step explanation:
Part A
Car 1: exponential as the projected value is not decreasing by the same amount each year
Car 2: linear as the projected value decreases by the same amount each year ($1000)
Part B
Car 1
General form of exponential function: [tex]y=ab^x[/tex]
a = initial value = 18500
b = growth factor = [tex]\dfrac{17390}{18500}=0.94[/tex]
[tex]\implies f(x)=18500(0.94)^{x-1}[/tex]
NB We have to change x to "x-1" since we are told in the table that after 1 year the car's value is 18500.
Car 2
General form of linear function: [tex]y=mx+b[/tex]
[tex]m=\dfrac{\textsf{change in} \ y}{\textsf{change in} \ x}=\dfrac{17500-18500}{2-1}=-1000[/tex]
[tex]y-y_1=m(x-x_1)[/tex]
[tex]\implies y-17500=-1000(x-2)[/tex]
[tex]\implies f(x)=-1000x+19500[/tex]
Part C
Car 1 after 10 years: [tex]\implies f(10)=18500(0.94)^{10-1}=\$10,600.40[/tex]
Car 2 after 10 years: [tex]\implies f(10)=-1000(10)+19500=\$9,500[/tex]
Difference = 10600.40 - 9500 = 1100.40
Yes, there will be a significant difference of $1,100.40 which is approx 10% of the value of the cars after 10 years.
3/m = 45/50 HELP, WILL GIVE BRAINLIST IF PERFECT ANSWER, its hard
Answer:
m=10/3
Step-by-step explanation:
[3/(10/3)]3=9/10
(9/10)5=45/50
HELP PLEASE ASAP NO LINKS OR SCAMS
Answer:
1
a. 5
b. 32
c. 130
d. 26
2
a. 5.65234
b. 5652.34
c. 8.1253758
d. 8125375.8
Step-by-step explanation:
36,156 feet to fathoms
Answer:
Approx. . 6026
Step-by-step explanation:
Hope This Helps!!!!1
Find the value of x.
Answer:
x = 24
Step-by-step explanation:
A triangle has a total of 180 degrees as its inner angle measurement.
If you look at the bigger triangle, it has two out of three angles: 94 and 41.
Since we know the angle has to be 180, we can simply subtract the sum of 94 and 41. We get 45 degrees.
Now that we have that measurement, we look at the smaller triangle. The 45 degrees is shared both by the bigger one and the smaller one. Which gives us two out of three angles for the smaller one.
Again, add 111 and 45 and then subtract the result from 180. We get 24 degrees.
I WILL GIVE BRAINLIEST PLEASE ANSWER!!! How much should be invested now at an interest rate of 5.5% per year, compounded continuously, to have $3500 in two years?
Do not round any intermediate computations, and round your answer to the nearest cent.
Answer:
$3,135.42
Step-by-step explanation:
[tex]p{e}^{.055 \times 2} = 3500[/tex]
[tex]p = \frac{3500}{ {e}^{.11} } = 3135.42[/tex]
The person should invest $3135.42 at an interest rate of 5.5% compounded continuously to have $3500 in two years.
What is continuous compounding?The practice of continuous compounding involves computing interest and reinvesting it into the balance of an account for an endless number of periods.
Given that, the interest rate is n = 5.5%comp continuously and the final amount after x = 2 years is P(x) = $3500.
The formula for the final amount in continuous compounding is:
P(x) = P₀eⁿˣ (1)
Where P(x) is the amount after x years, P₀ is the initial amount, and n is the interest rate.
Substitute the values into equation (1):
[tex]3500 = P_{0}e^{5.5\%(2)}\\\\p_{0}=\frac{3500}{e^{0.11}}\\\\P_0=3135.42[/tex]
Hence, the person should invest $3135.42 at an interest rate of 5.5% compounded continuously to have $3500 in two years.
Learn more about continuous compounding:
https://brainly.com/question/19522540
#SPJ2
What is the median of 10 , 9 , 8 , 13 , 10
Answer:
8
Step-by-step explanation:
The median is 8 because it is the middle number.
Answer:
10
Step-by-step explanation:
How do you subtract decimals? I need examples
Answer:
Examples: 0.9 - 0.3 = 0.6; 1.5 - 1.2 = 0.3, 10.8 - 5.3 = 5.5
Step-by-step explanation:
It's the same way of subtracting any regular number just line up the two numbers based on the position of the decimals. Then subtract them, then put the decimal in the position where you have originally lined up to be in the new number.
Look at the diagram I posted for the example!
Hope that helps!
Use given triangle to fill in the blank.
PLEASE HELP ME!!!!!!!!!!!!!!!
Answer:
b/c
Step-by-step explanation:
Sin B = opposite side/ hypotenuse = AC/AB
Which table does NOT represent a linear function?
Please Help hurry pls
A tailor uses 75 yards of material to make 30 sweatshirts of the same size. At this rate, how much material is needed to make 1 sweatshirt? 0.4 yard
Answer:
75 yards makes 30 sweatshirts
x yards makes 1 sweatshirt
cross multiply
x = 75/30
2.5 yards
a 20 inch rod fits perfectly in a box 15 inches tall what is the measurment of x in the diagram round to the nearest tenth
The 20-inch rod forms a right triangle with the 15 inches tall box
The value of x in the diagram is 13.2 inches
How to determine the value of xTo calculate the value of x, we make use of the following Pythagoras theorem
[tex]20^2 = 15^2 + x^2[/tex]
Evaluate the exponents in the above equation
[tex]400 = 225 + x^2[/tex]
Subtract 225 from both sides of the equation
[tex]175 = x^2[/tex]
Take the square root of both sides
[tex]x = 13.2[/tex]
Hence, the value of x in the diagram is 13.2 inches
Read more about Pythagoras theorem at:
https://brainly.com/question/654982
simplify the expression below
[tex]7x { - }^{2} - 4z + 8x { - }^{2} - 5z[/tex]
Answer: -9z + 15/x^2
The correct answer is -9z + 15/x^2 when simplified
Hope this helps =)
PLEASE HELP ME QUICK!!
Kelvin wants to know whether he skied without falling more than twice as long as anyone else in his family. His dad tells him that he can check by using the inequality 2f < 223, where f is the time skied in seconds for each person. Plug the values for the time skied by each person into the inequality to find the answer.
Answer: yes kevin skied as long as lori
draw a related picture for each of the following
Answer:
where is it?
Step-by-step explanation:
Persevere with Problems A student scored 98, 94, 96, and 88 points out of 100 on the last four science tests. What score must the student score on the fifth test to have an average of at least 94 points? The student must score at least points on the fifth test to have an average of at least 94 points for all of the tests.
Find the surface area of the prism. Write your answer as a fraction or mixed number
- HELP PLEASEEE!!!
Answer:
2 and 2/3
Step-by-step explanation:
(2/3)x(2/3)x6=
2 and 2/3
1÷b +2b÷x=2
solve for x
2b^2/1-2b
Step-by-step explanation:
hope this helps
A cone has a slant length of 5 and a diameter of 4. What is the volume of the cone? Use π ≈ 3. 14. 12. 56 cubic units 18. 84 cubic units 20. 93 cubic units 25. 12 cubic units.
The volume of the cone which has slant length of 5 and a diameter of 4 is 12.56 cubic units.
What is of volume of solid?Volume of solid is the amount of quantity, which is obtained by the solid or object in the 3 dimensional space.
The more the volume of a object is obtains the more space. The volume of the cone can be given as,
[tex]V=\dfrac{1}{3}\pi r^2h[/tex]
Here, (r) is the radius of the base of the cone and (h) is the height of the cylinder.
The diameter of the cone is 4 units. Thus, the radius of the cone is,
[tex]r=\dfrac{4}{2}\\r=2\rm units[/tex]
As the cone has a slant length of 5. Thus, the height of the cone is,
[tex]h=\sqrt{5^2-4^2}\\h=\sqrt{9}\\h=3 \rm units[/tex]
Here, the height is 3 units and the radius 2 units long. Thus the volume of the cone is,
[tex]V=\dfrac{1}{3}\times3.14\times (2)^2\times3\\V=12.56\rm units^3[/tex]
Hence, the volume of the cone which has slant length of 5 and a diameter of 4 is 12.56 cubic units.
Learn more about the volume of solid here;
https://brainly.com/question/1355179
Factor
k2+7k+10
PLEASE HELP
Answer:
(k + 5) (k + 2)
Step-by-step explanation:
k² + 7k + 10
k² + 2k + 5k + 10
k(k + 2) + 5(k + 2)
(k + 5) (k + 2)
What are 10 words that can be used to explain what a right triangle is? 10 points for 10 words
Answer:
A triangle with one of the angles being ninety degrees.
Step-by-step explanation:
100 PTS PLS I NEED IT
Which problem can be solved by performing this multiplication?
3/4×8/9
A. Three out of 4 containers hold lemonade. Each container holds 8/9 quart of lemonade. How much lemonade do the containers all hold?
B. Evan practiced piano this week for 3/4 hour. Last week he practice for8/9 hour. How much longer did Evan practice last week than this week?
C. Jada rode her bike 3/4 mile. Sarah rode her bike 8/9the distance that Jada rode her bike. How far did Sarah ride her bike?
D. Amelie drove 3/4 mile. She then drove another 8/9 mile. How many miles did she drive in all?
Answer:
The answer is C, because you would have to essentially find the percentage of a fraction
Step-by-step explanation:
What is the diameter if the radius is 6ft?
Answer:
Step-by-step explanation:
The radius is approximately . 96 ft.
We will use the formula Circumference = 2pi(radius)
=> C=2pi(r)
=> Substitute 3.14 for pi, and 6 for C
=> 6 = 2(3.14)r
=> 6 = 6.28r
=> .955 =r
=> The radius is approximately .96 ft.
PLOT THE POINT [1.5 -2] PLS HELP ASAP
Answer: 1.5 will be on the point of 1 but just a little bit higher. -2 will be plotted exactly on -2
Step-by-step explanation:
Was £16, Now 20% increase.
Answer:
16 x (1+0.2) = 19.2
Step-by-step explanation:
There you go hope that helps
answer below please!
Answer:
[tex]x=-\frac{11}{18}[/tex]
Step-by-step explanation:
[tex]-1\frac{7}{9}=(-2\frac{5}{6} + \frac{1}{3})x[/tex]
Solve parenthesis first
[tex]-2\frac{5}{6} + 1/3[/tex]
Find a common denominator.
The common denominator would be 6.
Because the first expression already has a denominator of 6 it stays the same.
[tex]\frac{1}{3} = \frac{2}{6}[/tex]
[tex]-2\frac{5}{6} + \frac{2}{6} = -2\frac{7}{6} = -1\frac{1}{6}[/tex]
Put that into the original equation.
[tex]-1\frac{7}{9}=(-1\frac{1}{6} )x[/tex]
Isolate the x. Add [tex]1\frac{1}{6}[/tex] to each side.
[tex]-1\frac{7}{9}+ 1\frac{1}{6}=x[/tex]
Find a common denominator.
we can use 18 as the common denominator.
[tex]-1\frac{7}{9}+ 1\frac{1}{6}= -1 \frac{14}{18} +1\frac{3}{18}= x[/tex]
Add.
[tex]-\frac{11}{18} =x[/tex]
We cannot simplify so our answer stays the same.
3 to the seventh power
Answer:2187
Step-by-step explanation:
3 to the power of 7 can be expressed as 37 = 3 × 3 × 3 × 3 × 3 × 3 × 3 = 2,187. The two important terms used frequently in exponents are base and powers.
Answer:
2187
Step-by-step explanation:
Given the following question:
3 to the seventh power
3 to the seventh power = 3^7
Solve:
[tex]3^7=3\times3\times3\times3\times3\times3\times3=2187[/tex]
[tex]=2187[/tex]
When dealing with exponents you have to multiply the base by itself as many times as the exponent. In this case 3 (the base) multiply by itself seven times (exponent) to receive the answer 2187.
Hope this helps.
Who wants 100 points? just answer this question… 9+10
Answer:
=19
Step-by-step explanation:
What is the how many prime numbers are there from 100-110.
Answer:
9+10=19 now if yu did 9*10 you would get 90
Step-by-step explanation:
Hopw this helps
have a great day
Thanks for the points
Work out (3. 6 x 10^-5) divided by (1. 8 x 10^2)give your answer in standard form
(3.6 × 10⁻⁵) / (1.8 × 10²)
= (36 × 10⁻⁶) / (18 × 10¹)
= (36/18) × 10⁻⁶⁻¹
= 2 × 10⁻⁷
= 0.0000002
HELP ME PLS. Number 6. WILL GIVE BRAINLIEST
Answer:
64.7!
Step-by-step explanation:
By removing the slowest time, you get an odd number of times. The middle of those odd numbers (63.5, 63.6, 64.7, 65.3, 65.4) is 64.7. Good luck! :)
1, 2, 3, 4, 5.
It would be this one, the third one.
Find the -intercept and -intercept of the line given by the equation. If a particular intercept does not exist, enter none into all the answer blanks for that row.
Answer: Check out the image attached below
y intercept = (0,15)
x intercept = (24,0)
================================================
Explanation:
The y intercept always occurs when x = 0.
Plug in x = 0 and solve for y.
5x+8y = 120
5(0)+8y = 120
8y = 120
y = 120/8
y = 15
The y intercept is located at (x,y) = (0,15)
-------------------
On the flip side, the x intercept always happens when y = 0.
5x+8y = 120
5x+8(0) = 120
5x = 120
x = 120/5
x = 24
The x intercept's location is (x,y) = (24,0)
Refer to the diagram below to see how the boxes are filled in.
Make sure you use parenthesis when writing the ordered pairs.
