Answer:
The given exponential functions f(x) and g(x) will be equal for the value of x as 4.1466.
Step-by-step explanation:
We need to give exponential function to the given constraints.
since f(x) is a decreasing function so
f(x) = [tex]a(1-r)^x[/tex]
where
a = Initial value
r = rate at which function is decreasing
as we are given the values of a and r such as a = 800 and r = 12%
upon substituting these values in the equation we get
f(x) = [tex]800(1-0.12)^x[/tex]
= [tex]800(0.88)^x[/tex]
similarly we will do for g(x) but the only difference in f(x) and g(x) will be that f(x) in a decreasing exponential function whereas g(x) is an increasing function.
g(x) = [tex]a(1-r)^x[/tex]
where a is initial value and r is the rate at which the function is increasing so upon substituting these values we get.
g(x) = [tex]20(1+0.12)^x[/tex] = [tex]20(1.12)^x[/tex]
Now,
we need to find the value of x for which f(x) and g(x) will be equal.
so
[tex]800 (0.88)^x = 20(1.12)^x[/tex]
[tex]40(0.88)^x = (1.12)^x[/tex]
x will be approximately 4.1466
Therefore the given exponential functions f(x) and g(x) will be equal for the value of x as 4.1466.
I needdd help please! ):
9514 1404 393
Answer:
16. x = 11
17. x = 4
Step-by-step explanation:
The triangles of interest are congruent, so corresponding parts have the same measure.
__
16. 2x+2 = x+13
x = 11 . . . . . . . . . subtract x+2 from both sides
__
17. 4x+4 = 3x+8
x = 4 . . . . . . . . . subtract 3x+4 from both sides
Find DC (Image Below)
Answer:
79239729379249
Step-by-step explanation:
your aswer is 284389300 oo
find x. PLSSSS HELP HURRYYY !!
Answer:
x = 141
Step-by-step explanation:
There are 140 pages in a book, 25% of them have pictures. How many pages have pictures?
Answer:
140 x
25%=35 or 140/4 = 35
I think-
Step-by-step explanation:
The sum of twice a number and 4 times another number is 4. The difference of the numbers is 5. Find the numbers(help a sis out)
Answer:
1st number = 4
2nd number = -1
Step-by-step explanation:
Let n = 1st number
Let m = 2nd number
2n + 4m = 4
n - m = 5
Substitu method, let n = 5 + m
2(5+m) + 4m = 4
10 + 2m + 4m = 4
6m = -6
m = -1
find n:
n - (-1) = 5
n + 1 = 5
n = 4
What is 0.000056023 written in scientific notation?
Answer:
5.6023 × 10^-5
Step-by-step explanation:
Let me know if you need an explanation.
Answer:
0.00005602
Step-by-step explanation:
0.00005602
(hope this helps can i plz have brainlist :D hehe)
what is the answer to 35% of 820
Answer:
35%of 820
35/100×820
287
...........
Answer:
287
Step-by-step explanation:
100% = 820
35% = 820 ÷ 100 × 35
= 287
help me i dont understand this
Answer:
there monthly budget is $4000
Step-by-step explanation:
if 600 is 15% then there is 85% of there budget left so in order to find how much is 1% then 600/15=40 so $40 = 1% so 1%x100=100% and 40x100=4000 so 100% of there budget is $4000
hope this helps have a blessed day :)
y=-5/4x-1 what is the slope and y intercept
Answer:
Slope = -5/4. And y-int = (0,-1)
Step-by-step explanation:
A store sells 6 bananas for $4. Determine how much it would cost to buy 15 bananas
Answer:
$10
Step-by-step explanation:
Since 6 cost four dollars 3 would cost 2 dollars multiply 3 to get 15 bananas and 2 to get $10
Answer:
$10
Step-by-step explanation:
Make proportion:
?= cost of bananas
6 - 4
15 - ?
?= 15×4÷6=10
WILL GIVE YOU BRAINLYEST!!!!
Explain in detail, how you would find the volume of the triangle pyramid above.
Greetings I am BrotherEye
Answer: How find the volume of a triangular pyramid?
Triangular pyramid volume formula
In words: the volume of a triangular pyramid is one-third of the product of the base area and the pyramid's height
Step-by-step explanation:
Now in mathematical terms Use the formula for the volume of a triangular pyramid: V=13Ah , where A = area of the triangular base, and H = height of the pyramid.
Best of Luck!
Please help me if you can. If possible please write how you got the answer so I can remember it next time I get a question like this.
Answer:
Step-by-step explanation: ༼ つ ◕_◕ ༽つ
So what I'm thinking right. If it costs my pal bob $0.25 for each cupcake and an additional $15 per month we will probably need to variables. So check it
Our positive when we make money is when bob sells cupcakes right? but our negative where bob is spending his money is the $0.25 it cost per cupcake and the $15 a month he also has to pay for expenses
$1.50c-$0.25c-$15.00m
c represents the amount of cupcakes while m represents each month
So if Buddy Boy Bob sold 85 cupcakes in one month lets try to use our equation to solve for profit shall we.
$1.5(85)-$0.25(85)-$15(1)= Bob made about $91.25
how do i solve this??
Answer:
J (3; 9)
Step-by-step explanation:
Imagine each distance like a triangle and use Pythagorean theorem.
To illustrate I drew triangle ΔLON in the picture
Finding the distance between LN.
LO = [tex]y_{L} - y_{O}[/tex] = 5 - 1 = 4
NO = [tex]x_{N} - x_{O}[/tex] = 5 - 4 = 1
According to Pythagorean theorem
[tex]LN^{2} = LO^{2} + NO^{2}[/tex]
[tex]LN^{2}[/tex] = [tex]4^{2} + 1^{2}[/tex] = 17
LN = [tex]\sqrt{17}[/tex] (LN > 0)
Since ΔMLN ≅ ΔKLJ, JL = LN (they are clearly equal triangles)
Mark J coordinates as (x; y)
Draw another triangle JOL, ∠JOL = 90°)
OJ is parallel with x axis and OL is parallel with y axis. O coordinates then are (4; y)
OL = y - 5
OJ = 4 - x
Note that ΔLON = ΔJOL, so OL is the same as LO and therefore
OL = LO = y - 5 = 4;
y = 9
OJ = NO = 4 - x = 1
x = 3
So the coordinates of J are (3; 9)
Similarly find the coordinates of K
In the given figure, ABCD is a rectangle in which ∠APB = 100°. The value of x is:
Answer:
Given that angle APB = 100°
Angle CPB = 180°- 100°. (Angle APB and CPB form a linear pair)
We know all triangles formed here are isosceles
Therefore,
We can take angle PBC= angle PCB = x
Now,
Angle CPB+ x + x = 180°. ( Triangle sum property)
100° + 2x = 180°
2x = 180°- 100°
2x= 80°
x= 80°/2
x= 40°
Hope you found this helpful. Please mark this as the brainliest answer if you do.
write an equation of the line that passes through the points (0,3) and (2,11) y=?
Answer:
y=4x+3
Step-by-step explanation:
find the slope using y2-y1/x2-x1
11-3/2-0
simplify
8/2
simplify
4
find b by using the equation y=mx+b
since we know 4 is the slope, plug it in for m
plug an ordered pair into y=4x+b
3=4(0)+b
3=b
plug b in y=4x+b
y=4x+3
-5x = 25
what is the answer for x?
Answer:
i think its -5
Step-by-step explanation:
if you devide 25 by -5 you get -5
Answer: x = -5
Step-by-step explanation:
We can use inverse operations to solve the equation. Because the term "-5x" is multiplication (because you are multiplying x by -5), we can use division to solve the equation.
First, we will divide -5 from 25.
25 ÷ -5 = -5.
Because of this, x = -5!
If we're not sure, we can also check the equation.
-5 x -5 = 25, so the answer is true.
In conclusion, x = -5!
Sarah has to pay a one-time $300 deposit for her apartment. Each month she pays $700 for rent. How much would Sarah pay for “n” months?
Answer:
I don't know.
Step-by-step explanation:
Hey I'm Chloe, Can You Help Me Thank you :)
y varies proportionally with x. When x = 2, y = 18.
What is the constant of proportionality for this relationship?
Answer:
y = 9x
Step-by-step explanation:
Alfie has £10 note He buys 3 pens costing 1.45 each and some pencils costing 90p He gets 2.05 change. How many pencils did he buy?
Answer:
4 pencils
Step-by-step explanation:
Note= pencils costing 0. 90p
Given data
Balance= £10
pen= 3*1.45= £4.35
pencils=0.90p
change= £2.05
2.05= 10-4.35-90p
solve for p
2.05= 5.65-90p
collect like terms
5.65-2.05= 0.90p
3.6=90p
divide both sides by 90
p=3.6/0.90
p=4
HELP TIMED!!
WILL GIVE BRAINLIEST
A scientist is testing a new antibiotic on some bacteria she discovers the the antibiotic kills half of the Bactria every hour if she starts with 42000 bacteria what equation can be used to predict the number of bacteria after x hours
a). y= 42000(2)^x
b). y=42000(1/2)^x
c). y=42000(1.5)^x
d). y=(42000/2)^x
Michelle has 2/3 of her monthly allowance left. She plans to save 1/4 of the money she has left . What fraction of the original allowance does she plan to save
Answer: The fraction of the original allowance does she plan to save = [tex]\dfrac16[/tex]
Step-by-step explanation:
Let x = original monthly allowance
Monthly allowance left = [tex]\dfrac23x[/tex]
She plans to save = [tex]\dfrac14[/tex] of (Monthly allowance left)
= [tex]\dfrac14\times\dfrac23x[/tex]
[tex]=\dfrac{2}{12}x\\\\=\dfrac{1}{6}x[/tex]
i.e. the fraction of the original allowance does she plan to save = [tex]\dfrac16[/tex]
75 pints of juice in 5 containers
if you know what is a pie
Find the slope of the line segment.
Answer:
Option 1 = 3/2
Step-by-step explanation:
The rise = 3
The run = 2
Can anyone answer this for me thanks.
Answer:
ghhhbvhnv
Step-by-step explanation:
kjkjkjjn,nj,jn,jn
please someone help me, will give brainily
Answer:
sorry I don't know sis ☹️
mrs. kelly asked her students to plot the number of books they read over summer. Using the dot plot, how many students answered the question?
Answer:
18
Step-by-step explanation:
Add all the dots. 2+1+3+2+6+3+1=18
Question 6 of 17
The side lengths of a triangle are 9, 12, and 18. Is this a right triangle
The answer is A
AAAAAAAA
Answer:
A is the correct answer
Step-by-step explanation:
Please show workings.
To start a transport company, a business man needs at least 5 buses and 10 minibuses .
He is not able to run more than 30 vehicles all together.
A bus takes up 3 units of parking space, a minibus takes up 1 uni of parking space and there are only 54 units available.
If x and y are the number of buses and minibuses respectively.
a. Write down for inequalities which represents the restrictions of the businessman.
b. Draw a gaph that shows a region representing possible values of x and y.
c. Find the greatest number of:
i. buses
ii. minibuses that the business can run
9514 1404 393
Answer:
a) x≥5; y≥10; x+y≤30; 3x+y≤54
b) see attached
c) i. 14 buses; ii. 25 minibuses
Step-by-step explanation:
a. The given restrictions are ...
x ≥ 5 . . . . . . . . . minimum number of buses
y ≥ 10 . . . . . . . . minimum number of minibuses
x + y ≤ 30 . . . . .maximum number of vehicles
3x +y ≤ 54 . . . . maximum number of parking units
__
b. In the attached, we have chosen to make the solution space white. The boundaries are dashed where they are included in the solution space. The vertices of the solution space are marked on the graph.
__
c. The second attachment shows the maximum numbers of each.
i. maximum buses: 14 (and 12 minibuses)
ii. maximum minibuses: 25 (and 5 buses)