Answer:
$1863
Step-by-step explanation:
The model for exponential decay (depreciation) is [tex]y=y_0e^{-rt}[/tex].
r is the depreciation rate (which can be found first)
t is the time since the initial purchase
y is the value of the car at time t
[tex]y_0[/tex] is the initial purchase price (t = 0)
Year 0 is 1995.
2000 is year 5.
So, [tex]6800=20000e^{-r\cdot5}\\\\\frac{6800}{20000}=e^{-5r}\\[/tex]
To solve for r take the logarithm of both sides.
[tex]-5r=\ln\left({\frac{6800}{20000}\right)\\\\r=-\frac{1}{5}\ln\left({\frac{6800}{20000}\right) \approx 0.215762[/tex]
Now find the value of the car in 2006, which is year t = 11.
[tex]y=20000e^{-0.215762\cdot11} \approx 1863[/tex]
how much more area does a large pizza with a 12in. diameter have than a small pizza with a 8 in. diameter? Round your answer to the nearest square inch
answers:
a) 63 in²
b) 38 in²
c)13 in²
d)87 in²
Answer:
A is the correct answer.
Step-by-step explanation:
First do 6 times 6 and then do 36 times 3.14 to get 113.04.
Then do 4 times 4 to get 16 times 3.14 for 50.24
Last do 113 minus 50 for 63 squared.
10% of the tickets sold at a school carnival were early-admission tickets. If the school sold 20 early-admission tickets, how many tickets total were sold? options: The school sold 2 tickets total. The school sold 30 tickets total. The school sold 120 tickets total. The school sold 200 tickets total.
Answer:
200 total tickets
Step-by-step explanation:
10% = 20
10% x 10 = 100%, so 20 x 10 = 200 total tickets
Due tonight *no links*
Answer:
Step-by-step explanation:
The sum of the measures of the interior angles of a decagon (10 sided polygon) is 1,440. We found this by using the formula (n-2)(180). Thus, to find the measure of each interior angle we simply divide the sum by the number of total sides in the polygon. 1,440/10 = 144.
I dont know how to do this, but this is what g**gle had to say about the matter. I hope this helps?
what is 5/9 x 2/5 x 7/2 A 7/45 B 14/45 C 7/9 D 7/8
Point c has the coordinate -7 and d has the coordinate 6 on a number line. What is the distance between c and d
Answer:
7
Step-by-step explanation:
Find the gradient of the line passing through the points (4a, -a) and (6a, 5a)
Answer:
3
Step-by-step explanation:
Gradient is also called slope .
=> m = y₂ - y₁ / x₂ - x₁
=> m = 5a + a / 6a - 4a
=> m = 6a / 2a
=> m = 3
Which word phrase represents the following expression: 6 - x?
A: the product of 6 and x
B: x take away 6
C: x less than 6
D: 6 less that x
Answer:
C. X less than 6
Step-by-step explanation:
please help thank you
Answer:
op.........bro.................................
what is the answer to 6 4/7 x 2/3
Answer:
4 8/27
Step-by-step explanation:
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
The answer is: C
Step-by-step explanation: So they tell you that each pencil cost the same as another and the same applies to the journals. With this information you know that you're spending the same for each one, meaning you can multiply the amount you bought by the price and get your total. So, as an example: Mr. Bowden bought 18 journals, in our situation journals cost *J*. So 18 multiplied by *J* would be our total for the journals Mr. Bowden bought. the same applies to pencils, and so Mr. Bowden bought 40 pencils, and each pencil costs *P*. We can multiply 40 and *P* to figure out what the pencils in total for Mr. Bowden cost. We can then add the total for journals and pencils for Mr. Bowden and get $95.42. I hope this helps :)
What is the area of the triangle ?
−5x−4y=−8
Escreva uma fórmula para f(x) em função de x
Answer:
-5x-4y=-8
-5x=4y-8
x/-5=4y-8÷-5
Solve the following quadratic equation for all values of x in simplest form.
4(2x-3)^2 + 14 = 34
Answer:
x=3±√5/2
Step-by-step explanation:
what is 1 half times 2
Answer:
1
Step-by-step explanation:
1/2 x 2 = 1
2 and 2 cancel out, leaving 1/1
Hope that helps! :)
<3 Cin
Answer:
I got the answer one
Step-by-step explanation:
1/2 x 2
2 x 1 = 2 ÷ 2 = 1
Vienna bought 8 yards of fabric and paid $35.60. How many more
yards can she purchase with $20?
(The paper this is one is due tmr. Help)
Answer:
4.49 more yards
Step-by-step explanation:
Given data
If 8 yards of fabric cost $35.60
then let x yards cost $20
cross multiply
35.60*x= 20*8
35.60*x= 160
x= 160/35.60
x= $4.49
Hence the $20 will purchase 4.49 more yards
Alli has $382.45 in her checking account and $450 in her savings account. She writes a check for $400. Alli's bank automatically takes money from her savings to cover the amount of a check if the money in the checking account is not sufficient. Unfortunately for Alli, the bank also withdraws $25 from her savings account for this service. Once the check has cleared, how much money does Alli have in her savings account?
Answer:
Alli has $450 in her saving account bank withdraws $25 from her saving account
alli's bank automatically takes $400
after the check is cleared
she will get = $450+$400-$25 = $825
Step-by-step explanation:
hope it helps ❤️
The amount left in Alli's savings account after the check has cleared is $407.54.
it is given that
money in checking account= $382.45
money in savings account= $450
the value of check= $400
service charge deducted by bank in case money is not sufficient in check account = $25
What will be the amount left in the savings account of Alli after the clearance of the check?the amount left in Alli's savings account after clearance of check will be:
the amount already present in the savings account - extra money needed for clearance of check - Service charge levied by the bank.
the amount left in Alli's savings account after clearance of check
450-(400-382.54)-25 = $407.54
therefore, the amount left in Alli's savings account =$407.54
to get more about word problems related to banking refer to the link,
https://brainly.com/question/14286115
Pythagorean theorem level 2 delta math
The third side is 4
So Pythagorean's theorem is the following
[tex]Short^2 + Long^2 = Hypotenuse^2[/tex]
From here we can input the following information that we know
[tex]Short^2 + \sqrt{33}^2 = 7^2\\Short^2 + 33 = 49\\Short^2 = 49 - 33\\Short^2 = 16\\Short = \sqrt{16}\\Short = 4[/tex]
Solve the ineqlality for y.
y - 4x < -7
Answer:
Step-by-step explanation:
So you want to isolate the y, so add 4x to both sides of the problem. So now we have y < -7 + 4x. Now since adding can go both ways (in its own equation) you can turn around the 7 and 4. So we have y < 4x -7
can anyone help me with these homework pages please i need them asap, thanks
Answer:
1. reflection
2. translation
3. rotation
4. dilation (enlargement)
5. dilation (reduction)
6. rotation
7. reflection
A map has a scale of 1.5 in : 26 mi. If the distance between city A and City
B on the map 15 inches find the real distance?
Answer:
The real distance is 260 miles
Step-by-step explanation:
From the question;
1.5 inches in map is 26 miles
Thus;
15 inches will be x miles
To get the value of x, we do a cross-multiplication
we have this as:
15 * 26 = 1.5 * x
x = (15 * 26)/1.5
x = 10 * 26 = 260 miles
Equations
Yes
No
5a -1 = 14
true for a = 3
O ㅁ
100-b2= 80
true for b= 10
32 = 16
true for f = 2
Answer:
yes
No
yes
Step-by-step explanation:
I think it will help you
Karl is making a pot of chili. The recipe calls for StartFraction 3 Over 8 EndFraction cup of chili powder, but Karl only wants to use half as much so it won’t be so spicy. How much chili powder should Karl use?
StartFraction 1 Over 16 EndFraction of a cup
StartFraction 1 Over 8 EndFraction of a cup
StartFraction 3 Over 16 EndFraction of a cup
Three-fourths of a cup
Answer:Karl is making a pot of chili. The recipe calls for StartFraction 3 Over 8 EndFraction cup of chili powder, but Karl only wants to use half as much so it won’t be so spicy. How much chili powder should Karl use?
StartFraction 1 Over 16 EndFraction of a cup
StartFraction 1 Over 8 EndFraction of a cup
StartFraction 3 Over 16 EndFraction of a cup
Three-fourths of a cup
Step-by-step explanation:
Karl is making a pot of chili. The recipe calls for StartFraction 3 Over 8 EndFraction cup of chili powder, but Karl only wants to use half as much so it won’t be so spicy. How much chili powder should Karl use?
StartFraction 1 Over 16 EndFraction of a cup
StartFraction 1 Over 8 EndFraction of a cup
StartFraction 3 Over 16 EndFraction of a cup
Three-fourths of a cup
Answer:
3/4 or D
Step-by-step explanation:
What is the simplified value of the exponential expression 27^1/3?
1/3
1/9
3
9
What is the median of the data set? History Test Scores 5 0 8 6 5 6 8 9 7 0 3 5 8 8 0 6 7 7 7 9 0 1 3 5 6 8 9 9 5 0 = 50 points
Answer:
The median is 6
Step-by-step explanation:
The graph of a system of two linear equations results in two parallel lines.
How many solutions are there for the system?
Answer:
no solutions
Step-by-step explanation:
a "solution" for a system of linear equations is defined as the point(s) of intersection for the two lines.
Parallel lines never touch, so they can never can never intersect
therefore, there are no solutions
hope this helps!
Pls help I will give branlist answer on the best one
Don’t explain it just strait up give me the answer for 1,2 and 3
Answer:
Step-by-step explanation:
1. 31,656
2. 32.3%
3. $5,516 roughly per month split evenly if you live paycheck to paycheck
In Algebra, we learn about many types of functions. These functions vary from simple to
complex. Think about the different types of functions we've explored so far (linear,
quadratic, and exponential). What features do they share, and how are they unique?
Answer:
they share some features like;exponents,
mathematical signs, variables and more
The shared feature is that the 3 are functions relating y and x, and the uniqueness is on the exponent (or degree for the first two cases).
What the functions have in common?A linear function is:
y = a*x + b
A quadratic function is:
y = a*x^2 + b*x + c
An exponential function is:
y = A*(b)^x
So, the thing that we can see that the functions have in common is that in all of them, the variable y depends on the variable x.
How these functions are different?Well, the exponents are clearly different.
The linear function is of degree 1, the quadratic function is of degree 2, and in the exponential function the variable is in the exponent (it is not a polynomial like in the first two cases).
If you want to learn more about functions:
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If there were 175 students in 5 buses, how many were in 1 bus?
Answer:
hi
Step-by-step explanation:
we must divide 175 to 5 then it is equal to 35
35 students in 1 bus
have a nice day
Answer:
35 students
Step-by-step explanation
Your equastion is 175 divided by 5 which equels 35.
Suppose the height of a triangle is tripled. How does this affect the area of the triangle? Explain
Answer:
A' = 3A
Step-by-step explanation:
The area of a triangle is given by :
[tex]A=\dfrac{1}{2}\times b\times h[/tex]
Where
b is base and h is height
If height is tripled, h' = 3h
New area,
[tex]A'=\dfrac{1}{2}\times b\times h'\\\\=\dfrac{1}{2}\times b\times 3h\\\\=3\times \dfrac{1}{2}\times b\times h\\\\=3A[/tex]
So, the new area becomes 3 times the initial area.
Please help, this is due soon
Answer:
21 miles
Step-by-step explanation:
Each 1/6 is equal to 1 mile because 5/6 is equal to 5 miles. 1/2 is 3/6 so 3 miles. 6/6 is 6 miles so 3 is 3*6. This means it is 18+3 or 21 miles.
Have a great day!