Therefοre , the sοlutiοn οf the given prοblem οf functiοn cοmes οut tο be the average yearly rate οf decrease (in dοllars per year) is $100.
Explain functiοn.
Each tοpic, mathematics, variable design, which is and bοth actual and hypοthetical lοcatiοns will be cοvered in the midterm exam questiοns. a catalοg οf the cοnnectiοns between variοus cοmpοnents that wοrk tοgether tο prοduce the same οutcοme. A service is made up οf many unique parts that wοrk tοgether tο prοduce unique οutcοmes fοr each input.
Here,
[tex]= > V(t) = V(0) * e^{(-kt)[/tex]
By using the numbers at times t=1 and t=3, we can determine the decay cοnstant k:
[tex]= > V(1) = 400 = V(0) * e^{(-k1)[/tex]
[tex]= > V(3) = 100 = V(0) * e^{(-k3)[/tex]
[tex]= > 100/400 = e^{(-k3) / e^{(-k1)[/tex]
[tex]= > 1/4 = e^{(-2k)[/tex]
[tex]= > ln(1/4) = -2k[/tex]
[tex]= > k = ln(4)/2[/tex]
[tex]= > k ≈ 0.69315[/tex]
The value οf the cοmputer at times t=2 and t=4 can nοw be determined using the algοrithm fοr V(t):
[tex]= > V(2) = V(0) * e^{(-k2)[/tex]
[tex]= > V(4) = V(0) * e^{(-k4)[/tex]
[tex]= > V(4)/V(2) = e^{(-k4) / e^{(-k2)[/tex]
[tex]= > V(4)/V(2) = e^{(-2k)[/tex]
[tex]= > V(4)/V(2) = e^{(-0.69315*2)[/tex]
[tex]= > V(4)/V(2) =0.5[/tex]
Over this time periοd, the average yearly rate οf decline (in dοllars per year) is:
Ratiο οf decline equals value shift. (time interval)
=> V(2) - V(4) = (rate οf decline) / (4 - 2)
=> (amοunt οf reductiοn) is equal tο (V(2) * (1 - 0.5)) / 2.
=> (amοunt οf decline) is equal tο (V(2) * 0.5) / 2.
=> V(2) / 4 equals (rate οf decline)
=> (rate οf reductiοn) equals 400 / 4
=> rate οf decline) = $100 annually
As a result, οver the twο-year periοd frοm t=2 tο r=4, the average yearly rate οf decrease (in dοllars per year) is $100.
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320 is what percent of 138?
Answer:
43.13
Step-by-step explanation:
Tehara has read 115 pages of a 305-page book. She reads 10 pages each day. How many days will it take to finish?
10
+
115
p
=
305
10 + 115 p = 305
10
p
+
305
=
115
10 p + 305 = 115
115
+
10
p
=
305
115 + 10 p = 305
115
⋅
10
p
=
305
115 · 10 p = 305
Tehara has read 115 pages of a 305-page book. She reads 10 pages each day. How many days will it take to finish?
10
+
115
p
=
305
10 + 115 p = 305
10
p
+
305
=
115
10 p + 305 = 115
115
+
10
p
=
305
115 + 10 p = 305
115
⋅
10
p
=
305
115 · 10 p = 305
Tehara has read 115 pages of a 305-page book. She reads 10 pages each day. How many days will it take to finish?
Answer: 19 days
Step-by-step explanation:
Answer:
115 + 10x = 305
x = 19
It will take her 19 days to finish.
A repairman leans the top of an 26 foot ladder against the
top of a stone wall. The base of the ladder is 4.7 feet from
the wall. How tall is the wall? (Use Pythagorean Theorem:
a² + b2= c2)
Answer:
653.91 squared or 326.955 not squared
Step-by-step explanation:
We have a hyponuse of 26 and one leg of 4.7 and we are trying to figure out the missing leg!
The first step is
A^2 + B^2 = C^2
2 step
4.7^2 + B^2 = 26^2
3 step
4.7 x 4.7 = 22.09 and 26 x 26 = 676
4 step
22.09 + B^2 = 676
5 step
676 - 22.09 = 653.91
6 step
Answer
653.91 squared or 326.955 not squared!
hope this helps
what is the exact value of X
Answer:
x=2
Step-by-step explanation:
hi so im gonna be honest im too lazy to write down how i found the answer but it should be x=2. hope it helps!
ps pls tell me if it was correct :)
What is the center of dilation?
Answer:
Original coordinates of F is (2,1)
Step-by-step explanation:
when DEFG is dilated by a scale factor of 1/2 with a dilation center of (0, 0), coordinates of point F' will be ( 1, 1/2)
Annie has two equal-sized pies. She served 5/8
of the first one and 1.3 of the second one. What fraction shows the total amount of pie left?
9514 1404 393
Answer:
25/24
Step-by-step explanation:
Annie has 1 - 5/8 = 3/8 of the first pie left.
Annie has 1 - 1/3 = 2/3 of the second pie left.
The total fraction of pie left is ...
3/8 + 2/3 = (3·3 +8·2)/(8·3) = 25/24 . . . of a pie left
Answer:
25/4
Step-by-step explanation:
........................
Much saved $6 on a $40 pair of pants
Answer:
SHEEESH? MIND IF U SHARE?
Step-by-step explanation:
Bob made $209 for 11 hours of work.
At the same rate, how much would he make for 13 hours of work?
Answer:
He would make $247
Step-by-step explanation:
have a great day!
Hi I need help please ASAP
line a passes through the points (3,4) and (-1,2). line b passes through the points (-12,0) and (-6,-4). at what point do the lines intersect
Answer:
The point of intersection of the two lines is;
(-9,-2)
Step-by-step explanation:
What we have to here is to get the equation of both lines, solve simultaneously and get the intersection points
For the first line;
The general form is
y = mx + b
formula for the slope is;
m = (y2-y1)/(x2-x1)
The points (3,4) and (-1,2)
m = (2-4)/(-1-3) = -2/-4 = 1/2
So the equation is;
y = 1/2x + b
To get b, let us substitute coordinates of the first point;
4 = 1/2 * 3 + b
4 = 3/2 + b
b = 4 - 3/2
b = (8-3)/2 = 5/2
So the equation is;
y = 1/2x + 5/2
For the second line;
Slope;
m = (-4-0)/(-6+12) = -4/6 = -2/3
The equation is;
y = -2x/3 + b
Let us substitute the first
0 = -2/3(-12) + b
0 = 8 + b
b = -8
The equation is;
y = -2x/3 - 8
Now , we want to get the intersection point
To do this, we have to solve both equations simultaneously;
Since we have an expression for y in both cases, let us equate both y
-2x/3-8 = 1/2x + 5/2
Multiply through by 6
-4x - 48 = 3x + 15
-4x-3x = 15 + 48
-7x = 63
x = 63/-7
x = -9
To get x;
Recall;
y = -2x/3 - 8
y = -2/3(-9) - 8
y = 6 - 8
y = -2
5a+2b=14 6a+2b=16
Solve in stimultaneous
Answer:
A=2 b=2
Step-by-step explanation:
5a+2b=14
6a+2b=16
6a+2b-(5a+2b)=16-14
6a+2b-5a-2b=2
a=2
b=2
PLEASE HELP!!!
Find the areas of the trapezoids.
Answer:
1) A = 48 sq units 2) 42 sq units
Step-by-step explanation:
The formula to find the area of a trapezoid of a trapezoid is A = 1/2(b1+b2)h.
So for number 1, it is stated that the height of each unit is 2. Now let's substitute the variables in the formula with the actual bases and heights. I got A = 1/2(8+4)8, A=6*8, A=48 sq units.
For number 2, each unit also has a height of 2. Let's substitute the variables in the formula again. And we get A = 1/2(10+4)6, A = 7*6, A = 42 sq units.
This is how you find the areas of the trapezoids!
How many weeks is 36 days
Answer:
about 5 weeks
Step-by-step explanation:
divide 36 by 7
Answer:
5 weeks
Step-by-step explanation:
there is 5 weeks and some days
we know 7 days= 1 week
1 day =1/7 week
36 day= 1/7)*36
=5.14 weeks
..... hope you liked it.
what do -4 (x+7)-4 equal
Answer:
-4x-32 Can i please get a brainliest because this correct.
Step-by-step explanation:
−4(x+7)−4
Distribute:
=(−4)(x)+(−4)(7)+−4
=−4x+−28+−4
Combine Like Terms:
=−4x+−28+−4
=(−4x)+(−28+−4)
=−4x+−32
Answer:
=−4x−32
i just need the answer lol
Answer:
C and D
Step-by-step explanation:
They are both roots of the equation.
Find the rate of change given the following solutions: (6, 2) and (1, 12).
Answer:
The rate of change is -2
Step-by-step explanation:
f(b)-f(a) 12-2 10
---------- = ------------ = -------- = -2
b-a 1-6 -5
Can someone help? I'll give brainliest if the answer is correct and and if an explanation of how to do this is provided.
Answer:
[tex] m\angle E[/tex] = 77°
Step-by-step explanation:
I triangle ACE, BD || AC.... (given)
[tex] m\angle B =m\angle A[/tex]
(corresponding angles)
9x - 5 = 8x + 4
9x - 8x = 5 + 4
x = 9
3x° = 9*3° = 27°
(9x - 5)° = (9*9 - 5)° = (81 - 5)° = 76°
[tex] m\angle E[/tex] = 180° - (27° + 76°)
(By interior angle sum theorem of a triangle)
[tex] m\angle E[/tex] = 180° - 103°
[tex] m\angle E[/tex] = 77°
this is pretty easy but I don't have the brainpower to do it
Answer:
Step-by-step explanation:
PLEASE HELP SHOW YOUR WORK. HURRY I WILL MARK YOU BRIANLIEST.
Answer:
6.86
Step-by-step explanation:
First, divide 4.90 by 5 then multiply 0.98 by 7.
Plz help due tomorrow
Answer:
-16
Step-by-step explanation:
you need to distribute the 2 to the (-8) :D
Answer:
-8x + (-16) = 24
Step-by-step explanation:
-8(x + 2) = 24
-8*x and -8*2
-8x + (-16) = 24
Just in case you need to solve:
-8x = 40
x = -5
8. Find X
help i need this today
4.) Solve the proportion.
2
9
II
3 k + 1
Answer:
b
Step-by-step explanation:
Sorry if its wrong I hope I helped!!!!
PLSS HELP ME ASAP!!! I WILL GIVE YOU BRAINLYEST!!! PLSS JUST HELP ME :(
The pyramid below has a rectangular base with an area of 150 square feet. The height of the
Pyramid is 30 feet.
30 ft.
What is the volume of this pyramid in cubic feet?
A. 180
B. 1500
C. 4500
D. 45,000
Answer:
4500
Step-by-step explanation:
150*30=4500
I NEED HELP IM BEGGING WILL MARK BRAINLEST
JUST ANSWERS NO WORK NEEDED
Answer:
a = 5 c =11
Step-by-step explanation:
Answer:
sqrt[(80^2) + (20^2)] = (bottom base of the entire rectangle)
= 20(sqrt(17)) units or about 82.46211 units
find angle at bottom corner
arctan(20/80) = about 14.04624 degrees
cos(14.04624) = 20(sqrt17) / (80+a)
solve for a: --> a = 5 units
use pythag for side c
(20^2) + (5^2) = c^2
c is about 20.6155 units or 5(sqrt17)
Step-by-step example:
Find the volume and explain your answer round to the nearest tenth!!
Which terms of the polynomial are affected by the coefficient “5” in the product of (5X + Y)(X + Y)?
Answer:
X and XY
Step-by-step explanation:
When you expand and compare the result to (X+Y)^2, you will see that the only terms different are those with the variable X. This means that the only terms affected are X and XY.
f(n)=45⋅(4/5)^n−1
complete the recursive formula of f(n)
F(1) = 45
f(n) = f(n-1) * 4/5
Step-by-step explanation:
f(n) = 45 x (4/5)ⁿ⁻¹
f(1) = 45 x (4/5)¹⁻¹ = 45 x (4/5)⁰ = 45 x 1 = 45
f (n-1) = 45 x (4/5)ⁿ⁻¹⁻¹ = 45 x (4/5)ⁿ⁻²
f(n) = f(n-1) * (4/5)¹ = 45 x (4/5) ⁿ⁻²⁺¹ = 45 x (4/5)ⁿ⁻¹
Answer:
45
4/5
Step-by-step explanation:
khan academy
What is 238394 divided by 624
Answer:
382.041666667
Step-by-step explanation:
Answer:
382.0416
Step-by-step explanation:
Mr. Romero buys 3 chairs at a cost of $27.90 for each chait. Estimate the
least number of $20 bills he needs to buy the chairs.
Answer: 5
Step-by-step explanation:
Answer:
5, $ 20 bills
Step-by-step explanation:
27.90× 3 = around 85
$85÷ $20=4.25
So 5, 20 dollar bills because it is more that 4
need help with questions 15 and 16 please
Answer:
#15: y = -5x -4
#16: y = 2/5x -4
Step-by-step explanation:
Lets start with #15:
Slope-Intercept Form is y = mx + b, where m is the slope and b is the y-intercept.
First we can locate the y-intercept, or where the line passes through the y-axis.
The y-intercept is -4.
Substitute in the Slope-Intercept Form Equation:
y = mx -4
Pick another point and substitute its x and y values in this equation.
I chose (-1,1) and substituted as 1 = m(-1) -4
Isolate m:
1 + 4 = -m - 4 + 4
5 = -m
m = -5
The Equation in Slope Intercept Form is y = -5x -4
Let's do #16.
Slope-Intercept Form is y = mx + b, where m is the slope and b is the y-intercept.
First we can locate the y-intercept, or where the line passes through the y-axis.
The y-intercept is -4.
Substitute in the Slope-Intercept Form Equation:
y = mx - 4
Pick another point and substitute its x and y values in this equation.
I used Fractional Points as Whole ones were not seen.
I chose (5/2,-3) and substituted as -3 = m(5/2) - 4
Isolate m:
-3 + 4 = 5m/2 - 4 + 4
1= 5m/2
m=2/5
The Equation in Slope Intercept Form is y = 2/5x - 4
Hope I helped, Brainliest would be appreciated :)
Have a fantastic day!
-Aadi x