Answer:
[tex]f(x) = 175000*1.025^x[/tex]Step-by-step explanation:
Exponential function has the form
[tex]f(x) = ab^x[/tex]Where a- initial value, b- growth rate
Find the growth rate b
[tex]b = 1 + 2.5/100 = 1 + 0.025 = 1.025[/tex]The function is
[tex]f(x) = 175000*1.025^x[/tex]Answer:
[tex]y = 175000 \cdot {1.025}^{x} [/tex]
Step-by-step explanation:
recall exponential function:
[tex]y = a \cdot {b}^{x} [/tex]
where:
a is the initial valueb is the growthx is the independent variabley is the dependent variableFinding the exponential function:
firstly,It says In 2010 , Cornfield Farms produced 175,000 bushels of corn. It simply refers that, The initial value is 175,000, therefore,
[tex]a \implies 175000[/tex]secondly, It assers that Each year since 2010, their total corn harvest has increased by 2.5% over the previous year, thus
[tex] b \implies 1 + \frac{2.5}{100} = 1.025[/tex]finally, just plug in the value of a and b into the function,
[tex]y = 175000 \cdot {1.025}^{x} [/tex]
and we're done!
I really need help on understanding how the exponents relate to each other ?
because after the exponents it devides
Which fraction is closer to 0 than to 1 ? Choose all that apply .
A. 5/8
B. 2/6
C. 1/4
D. 4/6
E. 3/8
Find the distance between (1, 1) and (3, 4).
Answer:
√13
Step-by-step explanation:
Let,
( x1, y1 ) = ( 1, 1 )
Here,
x1 = y1 = 1
( x2, y2 ) = ( 3, 4 )
Here,
x2 = 3
y2 = 4
Formula : -
( Distance )² = ( x2 - x1 )² + ( y2 - y1 )²
( Distance )² = ( 3 - 1 )² + ( 4 - 1 )²
= 2² + 3²
= 4 + 9
( Distance )² = 13
Distance = √13
Answer:
3.61
Step-by-step explanation:
length=[tex]\sqrt{(x_{2}-x_{1} )^{2}+(y_{2}-y_{1} )^{2} )}[/tex]
=[tex]\sqrt{(3_{}-1_{} )^{2}+(4_{}-1_{} )^{2} )}[/tex]
= 3.61
Simplify the equation
X^2 +x
x^2 + x
---Both of these terms both contain an x, which means we can factor out one x.
x(x + 1)
Simplified: x(x + 1)
Hope this helps!
Samir and Ayisha are on one side of a river. Katia is on the other side. The distance between Samir and
Katia is 82 ft. The distance between Ayisha and Katia is 80 ft. If the angle from Samir to Katia to Ayisha is 18°, how far apart are Samir and Ayisha?
The distance between Samir and Ayisha is 2 ft.
Samir and Ayisha are on one side of a river. Since they are on the same side, they may likely be close to each other.
Katia is on the other side of the river. It is likely Katia is far from Samir and Ayisha.
The distance between Samir and Katia is 82 ft. Therefore, the distance between Ayisha and Katia is 80 ft.
How to find distance between between Samir and AyishaThe distance between Samir and Ayisha = 82 ft - 80 ft
The distance between Samir and Ayisha = 2 ft
learn more on distance here:https://brainly.com/question/8387377
A circular flower bed is 24m in diameter and has a circular sidewalk around it that is 2m wide. Find the area of the sidewalk in square meters. Use 3.14 for pie (round to nearest 10th)
Answer:
163.3m²
Step-by-step explanation:
area = Pi(r²)
r = d / 2
r = 12
12² = 144
144 x 3.14 = 452.16
diameter of bigger circle = 24 + 4 (2 on each side)
28 / 2 = 14
14² = 196
196 x 3.14 = 615.44
sidewalk = bigger - smaller
sidewalk = 615.44 - 452.16
sidewalk = 163.3
Need help asap please!!!
Answer:
Bottom Right = (2 x 10^-3) x (4 x 10^4) = 8 x 10^1
Step-by-step explanation:
The table shows the number of points Malik and Alexia scored while playing a video game together.
The table is titled Video Game Scores. The table has two columns and three rows. The first column is labeled Malik's Score represented by m, the second column is labeled Alexia's Score represented by a. Malik scored sixty, Alexia scored ninety. Malik scored seventy, Alexia scored one hundred. Malik scored eighty, Alexia scored one hundred ten.
Which equation relates Alexia’s score, a, to Malik’s score, m
Answer:
a = m+30
Step-by-step explanation:
malik is always 30 points under alexia so in order for malik to be equal to alexia he would have to add an additional 30. i hope this helps :)
(За + 2b) (2а — b) HELP ME PLEASE
Answer:
6a^2 + ab - 2b^2
Step-by-step explanation:
[insert something smart]
Tiffany ate ¼ of a pizza. If there were 16 slices of pizza to begin with, how many slices did Tiffany eat?
Answer:
she ate 4 slices
Step-by-step explanation:
Answer:
1/4 × 16
=4
therefore she ate 4 slices
A 2,000 piece puzzle is in the shape of a trapezoid. The lengths of the bases are 7012 and 6512 inches long. The area of the puzzle is 1,224 square inches. What is the height of the puzzle?
in.
Answer:
0.18
Step-by-step explanation:
Maths big brain
which of the follwing is true?
Answer:
The correct one is B)
Step-by-step explanation:
Dividing with the same base subtracts the power
Choose the amount of money that is equal to 1 dollar 1 nickel.
25 nickels
21 nickels
22 nickels
23 nickels
HELLPPPP!!
So that is how it goes hope this helps
Answer: I think the answer is 25 nickels? Im sorry if I get it wrong
Step-by-step explanation:
Jamie needs to lease a car. At Big City Nissan, Jamie can lease an Altima for $3,000 down plus $420 per month. Big City will also give her the first two months of her lease free. At Rye Town Nissan, they offer her the same car for $3960 down plus $400 per month. Rye Town will give her the first four months free. After how many months would both deals cost the same?
Answer:
90 months
Step-by-step explanation:
Let x = number of months
Let y = total cost of deal
Big City Nissan
y = 3000 + 420x - 840
⇒ y = 2160 + 420x
Rye Town
y = 3960 + 400x
Equate the equations and solve for x
2160 + 420x = 3960 + 400x
⇒ 420x - 400 x= 3960 - 2160
⇒ 20x = 1800
⇒ x = 90
solve pls brainliest
Answer:
$645.89
Step-by-step explanation:
PLEASE HELP!!! I am stuck!!
How do I get question c)?
-15/-21 -14/x
-15x = -21 * -14
x = -19.6
answer -14c = -19.6 or about -20
answer 3c = .6 or about 1
formula would be
y= 1.2x -3
partial variation means the line doesn't go through (0,0)
Ann sells beaded necklaces. Each large necklace sells for $5.40 and each small necklace sells for $4.30. How much will she earn from selling 3 large necklaces and 1 small necklace?
Answer
20.5
Step-by-step explanation:
You multiply 5.4 and 3 to get 16.2. Then you add 16.2 and 4.3 to get 20.5.
Debbie has 65 tubs of yogurt and 16 boxes of granola. All four kids continue to eat the same amount of food each morning. Which kind of food will get used up first?_________
show your calculations and explain how you figured it out.
The kind of food that will finish and get used up first is the boxes of granola.
What is word problem?Word problem in mathematics is the use of critical understanding of the problem which then employs basic arithmetic operations, fractions, ratios, algebraic expression, etc to solve real-life problems.
From the parameters given:
Debbie has = 65 tubs of yogurtThe boxes of granola = 16The number of kids that consume the same quantity of both food types = 4The time at which the 65 tubs of yogurt will finish:
= 65/4
= 16th rounds with a remainder of 1 tub
The time at which 16 boxes of granola will finish:
= 16/4
= 4th round
A tub of yogurt is roughly 17 ounces while a box of granola is 1 ounce.
Therefore, we can conclude that the kind of food that will finish and get used up first is the boxes of granola.
Learn more about word problems here:
https://brainly.com/question/13818690
Help plsss 60 points
Step-by-step explanation:
please mark me as brainlest
Answer:
a) 5, -3, -4, 0
b) Curve B
Step-by-step explanation:
Given equation:
[tex]y=x^2-4x[/tex]
Inputting the values of x into the equation to find the missing values of y:
[tex]x=-1 \implies y=(-1)^2-4(-1)=5[/tex]
[tex]x=1 \implies y=(1)^2-4(1)=-3[/tex]
[tex]x=2 \implies y=(2)^2-4(2)=-4[/tex]
[tex]x=4 \implies y=(4)^2-4(4)=0[/tex]
[tex]\large\begin{array}{| c | c | c | c | c | c | c | c |}\cline{1-8} x & -1 & 0 & 1 & 2 & 3 & 4 & 5\\\cline{1-8} y & 5 & 0 & -3 & -4 & -3 & 0& 5\\\cline{1-8}\end{array}[/tex]
According to the table:
y-intercept of the curve = (0, 0)x-intercept of the curve = (4, 0)Therefore, Curve B matches the graph of [tex]y=x^2-4x[/tex]
To control pollination, pollen-producing flowers are often removed from the top of corn in a process called detasseling. The hourly rates for detasselers in Iowa are roughly normally distributed, with a mean of $12/hr and a standard deviation of $2/hr. What are the z-scores for a detasseler making $13 and $17 an hour? z13 = 0. 9, z17 = 1. 25 z13 = 0. 5, z17 = 1. 25 z13 = 0. 5, z17 = 2. 5.
The z-scores for a deta seller making $13 and $17 an hour will be [tex]Z_{13}=0.5 \ \ \ Z_{17}=2.5[/tex]
What is z- value ?The z-scores give us information about how many standard deviations from the mean the data are. This difference can be negative, if the data are n deviations to the left of the mean, or it can be positive if the data are n deviations to the right of the mean.
To calculate the Z scores, we calculate the difference between the value of the data and the mean and then divide this difference by the standard deviation.
[tex]Z=\dfrac{X-\mu}{\sigma}[/tex]
Where x is the value of the data, μ is the mean and σ is the standard deviation
In this case :
μ = 12 $/h
[tex]\sigma[/tex] = 2 $/h
We need to calculate the Z-scores for x=17 and x=13
[tex]Z_{13}=\dfrac{13-12}{2}=0.5[/tex]
[tex]Z_{17}=\dfrac{17-12}{2}=2.5[/tex]
Thus the z-scores for a deta seller making $13 and $17 an hour will be [tex]Z_{13}=0.5 \ \ \ Z_{17}=2.5[/tex]
To know more about z-Value follow
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Please mark me brainliest<3
Please help ASAP!!! Thank you!
Answer: 58 1/3 in^3.
Step-by-step explanation: To find the volume of a pyramid, you need to multiply the length, width, and height and divide it by 3. The length and width are both 5 and the height is 7, so the equation is 5 x 5 x 7. The answer to that is 175. Now, you have to divide 175 by 3, which is 58.33, or 58 1/3, which is your answer.
Let me know if this is right! :)
can someone please help me
Answer:
1 - 50
5 - 90
10 - 140
50 - 540
Step-by-step explanation:
The rate of change is 10/1, while the Y-intercept is 40. The equation would be Y=10x+40
show that the point (7,1) lies on the perpendicular bisector of the line joining (2,4) and (4,6)
Answer: True
Step-by-step explanation:
Let the point (7, 1) be Point A
Let the perpendicular bisector of the line joining (2,4) and (4,6) be Line PQ; P(2, 4) and Q(4, 6)
If A (7,1) lies on perpendicular bisector of P(2,4) and Q (4, – 6), then AP=AQ
[tex]\begin{aligned}\therefore \quad A P &=\sqrt{\left(2-7\right)^2+\left(4-1\right)^2}\:\\&=\sqrt{5^2+3^2}\\&=\sqrt{25+9}=\sqrt{34} \\\mathrm{and} \ \ \ A &=\sqrt{\left(4-7\right)^2+\left(6-1\right)^2}\: \\&=\sqrt{3^2+5^2} \\&=\sqrt{9+25}=\sqrt{34}\end{aligned}[/tex]
Therefore, (7, 1) does lie on the perpendicular bisector of the line joining (2,4) and (4,6)
calculate the value of s and t
Answer:
s = 4, t = 1.2.
Step-by-step explanation:
y = k/x (Inverse variation, k is some constant)
Substituting:
2 = k/3
k = 2*3 = 6
So the relation is y = 6/x.
So 1.5 = 6/s
s = 6/1.5 = 4.
t = 6/5 = 1.2.
IM STUCK IN THIS ONES AND THEY KEEP DELETING THE ANSWERS
Answer:
c
Step-by-step explanation:
40 cubic units
divide the shape into 2 pieces first.
4 × 4 ×2 = 32
4×2 = 8
32 + 8 = 40
the idea being that, each cube in the stack, is a 1x1x1 = 1 unit³, now if that's so, then, Check the picture below.
kassim has amoney box containing 100 mixed sh 5 and sh 10 coins with a totalvalue of sh 600. How many of each type of coin does the box contain
Answer:
sh 5 coins=80
sh 10 coins=20
use the intersect method to solve the equation
-2x+1=-x^2+4
The intersect method involves spliting an equation to a system of equations
The solutions to the equation are (-1, 3) and (3,-5)
How to solve the equation?The equation is given as:
-2x + 1 = -x^2 + 4
Using the intersect method, we have the following equations
y = -2x + 1
y = -x^2 + 4
Next, we plot the graph of both equations
From the graph (see attachment), we have the following points of intersection
(x,y) = (-1, 3) and (3,-5)
Hence, the solutions to the equation are (-1, 3) and (3,-5)
Read more about system of equations at:
https://brainly.com/question/14323743
Problem 1:
Solve for x: 3x+4=9x+3
A }
B
C-
D) None of the above.
Show work
Answer:
x=1/6
Step-by-step explanation:
3x+4=9x+3
isolate x
1=6x
1/6=x
[tex]======================================[/tex]
First, let's move all the x's to the left:
3x+4=9x+3
3x-9x+4=3
Now, move 4 to the right:
3x-9x=3-4
Combine Like Terms:
-6x=-1
Divide both sides by -6:
x=[tex]\displaystyle\frac{1}{6}[/tex]
[tex]=========================================[/tex]
Notes:Hope everything is clear.Let me know if you have any questions!Always remember: [tex]\boxed{Knowledge~is~power!}[/tex]Good luck & enjoy your day!Answered by:[tex]\mathcal{Diamond}[/tex] ([tex]\boxed{An~Emotional~Helper}[/tex])
What is the answer to how many 1/2 are in 3 1/2?
3.
Which system of equations has infinite solutions? Select all that apply.
A. y = 4x + 4
y=x - 4
B. y = -2x + 4
y=x+4
-6
C. y=4
x=-2
D. y = 5x + 3
3y = 15x +9
Answer:
B and D
Step-by-step explanation:
in D 15x+9=15x+9
in B x=0