Answer:
A= 113.1 (I rounded my answer)
Step-by-step explanation:
A=πr^2=π·6^2=113.09734
Timothy purchased a computer for $1000. The value of the computer depreciates by 20% every year.
Answer:
We can apply the straight-line method to solve for the value of the computer every year.
Step-by-step explanation:
Step one:
What is depreciation?
It can be defined as the loss of value of a commodity.
In this problem, the percent depreciation is given as 20% which means that 20% of the worth of the computer is lost every year.
We are told that the computer cost is $1000
let the number of years taken for the computer to depreciate be x
Step two:
Say we want to find the value of the computer after 1 year, the value of the computer will be
Value of computer= 1000-20/100*1000
Value of computer= 1000-0.2*1000
Value of computer= 1000-200
Value of computer= $800
Step three:
For the second year, the value will be
Value of computer= 800-20/100*800
Value of computer= 800-0.2*800
Value of computer= 800-160
Value of computer= $640
Answer:
This situation represents exponential decay. The rate of growth or decay, r, is equal to 0.2. So the value of the computer each year is 80% of the value in the previous year. It will take 3 years for the value of the computer to reach $512.
Step-by-step explanation:
PLATOOOOOO
WILL mark brainliest
Answer:
do u have to find the pattern?
Step-by-step explanation:
In March, you have $220 in your savings account. By the end of April, your savings have increased by 30%. How much money do you have in your savings account at the end of April?
Answer:
286
Step-by-step explanation:
I dit 220+30%=286
Answer:
$286
Step-by-step explanation:
220 • 0.3 = 66
220 + 66 = 286
Jayden's car gets 23 miles to a gallon of gasoline. He filled up his car's gas tank with g gallons. Write an expression that shows how far Kurt can drive on a tank of gasoline.
Answer:
D= distance covered by amount (g) gallons
D=23g
Step-by-step explanation:
Joe has eaten 2/5 of a pizza.Jane has eaten 1/6 of a pizza how many more pizza has joe eaten than Jane?
Joe ate 7/30 more of pizza than Jane. You can just subtract 2 uneven denominators. So you would turn them into 30 because that’s the closest highest number that can go with 5 and 6. Then multiply 2 with 6 which is 12 and then multiply 1 with 5 which is 5 now you can subtract it. 12/30-5/30=7/30.
Final Result: 7/30
Solve for x: x — 10 = 3х – 12
Answer:
x=1
Step-by-step explanation:
Step 1: Subtract 3x from both sides.
x−10−3x=3x−12−3x
−2x−10=−12
Step 2: Add 10 to both sides.
−2x−10+10=−12+10
−2x=−2
Step 3: Divide both sides by -2.
−2x/−2 = −2/−2
x = 1
What is the gradient of the blue line?
Answer:
gradient = - 5
Step-by-step explanation:
Calculate the gradient (slope) m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (- 1, 0) ← 2 points on the line
m = [tex]\frac{0-5}{-1+2}[/tex] = [tex]\frac{-5}{1}[/tex] = - 5
Round the number 2.72603 to 2 decimal places.
Answer:
2.73
Step-by-step explanation:
You round 6 up to get 2.73
Please give brainliest and thank me if it helped
There are 24 carnations in each bunch and 12 roses in each bunch. Use your expression from question 1 or question 2 to determine the total number of carnations and the total number of roses Alison will distribute to each flower shop this week.
Answer: r/c
Step-by-step explanation:
96/48
or
24/12
- The output of a function is 3 less than 6 times the
input. Find the input when the output is 15.
Answer:
(15+3)/6= the input
18/6= 3
since the output is three less than 6x the input, you need to add three. and if the output is 6 times the input after adding three, you have to divide by 6 to find out what the input originally was. you can check it by doing:
6*3= 18
and 18-3= 15 so it checks out.
Step-by-step explanation:
I hope this helps :)
sorry but i have another question :| tysm all yall for helping meee ^w^
9514 1404 393
Answer:
4: {8, 12, 16, 24}7: {7, 42, 49}neither: {6, 11, 17}Step-by-step explanation:
Looking at the numbers individually, we have ...
16 = 4×4
42 = 2×3×7
6 = 2×3
17 = 1×17 (prime)
12 = 3×4
49 = 7×7
24 = 2×3×4
7 = 1×7 (prime, a multiple of 7)
11 = 1×11 (prime)
8 = 2×4
__
Multiples of 4:
16, 12, 24, 8
Multiples of 7:
42, 49, 7
Multiples of neither:
6, 17, 11
[tex]f(x)= \frac{X^2-x-12} {5x^2+4x}[/tex]
Find all x-intercepts of the following function. Write your answer or answers as coordinate points. Be sure to select the appropriate number of x-intercepts.
Answer:
(- 3, 0 ), (4, 0 )
Step-by-step explanation:
To find the x- intercepts let f(x) = 0
[tex]\frac{x^2-x-12}{5x^2+ 4x}[/tex] = 0
The denominator cannot equal zero as this would make f(x) undefined.
Equate the numerator to zero and solve for x
x² - x - 12 = 0 ← in standard form
(x - 4)(x + 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x + 3 = 0 ⇒ x = - 3
x- intercepts are (- 3, 0 ) and (4, 0 )
Please help!!:
What is the length of DE in the image provided? (Please explain so I can understand in the future)
A. DE=4
B. DE=5
C. DE=6
D. DE=7
==========================================================
Explanation:
We have these three facts:
The arc markings on angles C and D indicate those angles are congruent. We can say that angle ACB = angle EDB.Another pair of congruent angles are angle ABC and angle EBD. These are vertical angles. Lastly, we have a pair of congruent sides AB and BE because of the tickmarks.Those three facts allow us to use the AAS (angle angle side) congruence theorem to prove that triangle ABC is congruent to triangle EBD.
Then by CPCTC (corresponding parts of congruent triangles are congruent), we know that AC = DE. Note how 'A' and 'C' are the first and last letters of ABC; similarly, 'E' and 'D' are the first and last letters of EBD. Segment ED is the same as segment DE.
So to find the length of DE, we need to find the length of AC. To do that, we need the value of x.
----------------
Recall earlier that AB = BE. Use this to find x
AB = BE
1.5x = 3x-6
1.5x-3x = -6
-1.5x = -6
x = -6/(-1.5)
x = 4
Now we can find the length of AC
AC = x+3
AC = 4+3
AC = 7
This must mean DE = 7 as well.
Answer:
DE=7
Step-by-step explanation:
I just took test
Also please make me Brainliest
15 = 5/ 3(x + 12) solve for x in simplest form
Answer:
x= -10 1/5 or -10.2
Step-by-step explanation:
7th grade help me please:)
Answer:
4^9
262144
Step-by-step explanation:
Alazari rode her bike to school
then the hospital and back home.
If she lives 70 meters from school
and 60 meters to the hospital, how
far did she travel in all?
-
What is the exact value of tan(67.5°) ?
Answer:
[tex]\sqrt\frac{2+\sqrt{2}}{2-\sqrt{2}}[/tex]
Step-by-step explanation:
correct on edge2020
The required exact value of tan(67.5°) is -2 + √(2).
What are trig ratios?If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to calculate the measures of one (or both) of the acute angles.
Here,
The exact value of tan(67.5°) can be found using the half-angle identity for the tangent, which states that:
tan(x/2) = (1 - cos(x)) / sin(x)
We can use this identity with x = 135 degrees since 67.5 degrees is half of 135 degrees. So:
tan(67.5°) = tan(135°/2) = (1 - cos(135°)) / sin(135°)
We can then use the following exact values:
cos(135°) = -√(2)/2
sin(135°) = -√(2)/2
Substituting these values, we get:
tan(67.5°) = (1 + √(2)/2) / (-√(2)/2)
Rationalizing the denominator, we get:
tan(67.5°) = -2 + √(2)
Therefore, the exact value of tan(67.5°) is -2 + √(2).
Learn more about trig ratios here:
https://brainly.com/question/14977354
#SPJ6
8, 6, 4, 2, 0, ...
The first 5 terms of a linear sequence are shown above.
What is the 100th term in the sequence?
9514 1404 393
Answer:
-190
Step-by-step explanation:
The n-th term of an arithmetic (linear) sequence is given by ...
an = a1 +d(n -1)
where a1 is the first term (8) and d is the common difference. We note that each term is 2 less than the one before, so the common difference is -2.
an = 8 -2(n -1)
Then the 100th term is ...
a100 = 8 - 2(100 -1) = 8 -198 = -190
The 100th term is -190.
Writer the ratio in 3 ways 4 books for every 25 shelves
Answer:
400:2500 , 40:250 ,and 4:25
250% of a number is the same as increasing the number by what percent?
Answer:
Since I am not given an increase number i will solve for numbers 1-5
1 - 25000%
2 - 12500%
3 - 8333.333333333332% (I recommend you don't use this one)
4 - 6250%
5 - 5000 %
Each number, it will increase by 250% no matter what
Its the same as increasing by 250%
Hope this helps <3
An ice cream shop offers a choice of three types of cones and 31 flavors of ice cream a customer gets to choose a cone and a type of ice cream how many events are described
Answer:
2 events are described.
Step-by-step explanation:
Because only three types of cones and 31 flavours of ice cream.
Arlene has raised $56 for her class field trip. This is $14
more than three times the amount Adam has raised.
Which equation could you use to find how much money
Adam has raised?
Assuming Adams amount is x, three times his amount will be 3x. $14 more than the times Adam's amount will be 14 +3x.
Therefore if Arlene's money is $56 which is $14 more than three times Adam's amount, then the equation will be ;
14+3x=56
kristen is building a pattern using triangles, the table shows the number of triangles in the first 4 terms of that pattern. which formula describes the number of triangles in the nth term of the pattern.
A. n=t+2
B.n=t+3
C. n=2t-1
D. n=2t + 3
Answer:
its C. im doing test to i saw different page
Step-by-step explanation:
diff pge
the two angles measuring (30 + 2 a)degree and (125 -a) degree supplementary to each other, then find the value of a.
Answer:
The value of a is 25
Step-by-step explanation:
When two angles are supplementary, they add up to 180 degrees
Mathematically,
(30 + 2a) + (125-a) = 180
30 + 2a + 125 - a = 180
a + 155 = 180
a = 180-155
a = 25 degrees
A computer’s random number generator produces random integers from 1 to 50. What is the probability that the first 3 integers generated are single-digit numbers?
Answer:
A. 0.0058
Step-by-step explanation:
What is the perimeter of figure 12? (Show your work).
A bottle contains 15 marbles: 9 are white and 6 are green. What is the
probability of picking a white?
Answer: 3/5
Step-by-step explanation:
Fist find out how many whites are there and divide it by the total to find the probability.
9/15 simplify it to 3/5
need help on this asap pleaase
John jogged 4.5 miles on Thursday, 7 2/5 miles on Friday, and 10.4 miles on Saturday. How many miles does John have to run in order to run 25 miles for the week
im giving 20 points
Answer:
2.7 miles
Step-by-step explanation:
25 - 10.4 - 4.5 - 7 2/5 will give you 2.7
Answer:
8 miles
Step-by-step explanation:
If we divide 70 by 50, we get the unit rate for the ratio 70 minutes for every 50 miles.
70÷50=1.4
So the runner is running 1.4 minutes per mile. We can multiply this unit rate by the number of miles:
1.4 minutes mile × 5 miles = 7 minutes
Thus it will take her 7 minutes to run 5 miles at this pace.
If it takes her 7 minutes to run 5 miles, it will take her 7÷5 = 1.4 minutes to run 6÷3=2 miles at the same pace.
If it takes her 1.4 minutes to run 5 miles, it will take her 1.4×5=7 minutes to run 4×2=8 miles at the same pace. Since 60 minutes is 1 hour, she is running at a speed of 8 miles per hour.
We found her pace in minutes per miles in part (a).
Divide 2x^4+3x^3-5x+6 by x^2+3x-2 .
2x^4 + 3x^3 - 5x + 6 ÷ x^2 + 3x - 2
= 2x^6 + 3x^5 − 2x^3 − 2x^2 + 6/ x^2