Answer:
6.4%
Step-by-step explanation:
We solve this question in using the population growth rate formula
P(t) = Po(1 + r)^t
P(t) = Population after t years = 28 ft
Po = Initial Population = 20 1/2 feet or 20.5 feet
r = Growth rate = ?
t = Time in years = 5
Hence:
28 = 20.5 (1 + r)⁵
Divide both side by 20.5
28/20.5 = 20.5 (1 + r)⁵/20.5
1.3658536585 = (1 + r)⁵
5th root both sides.
5√(1.3658536585) = 5√(1 + r)⁵
1.0643411027 = 1 + r
r = 1.0643411027 - 1
r = 0.0643411027
Converting to percentage
r = 0.0643411027 × 100
r = 6.43411027%
Approximately = 6.4%
The yearly growth rate of the apple tree = 6.4%
What is X+Y?? and ( x+ y)- 7+8
Step-by-step explanation:
What is X+Y?
First note that if x + y = xy then neither x nor y can be equal to 1.
That being said, as a previous user already noted y = x/(x-1) and hence x - y = x - x(x-1) = x(x-2)/(x-1). Assume x - y = D. Then your question becomes what can D be so that the equation x(x-2)/(x-1) = D has a solution different than 1.
Rewrite this equation as x(x-2) = D(x-1) and note that x(x-2) = (x-1)^2 - 1. Replace x - 1 with z. So your question is what can D be so that the equation z^2 - 1 = Dz has a nonzero solution? Given that 0 cannot be a solution anyway of the previous equation. The question is really, for which D does the quadratic equation z^2 - Dz - 1 = 0 have solutions? By elementary 9th grade math, this equation has a solution when its discriminant D^2 + 4 is nonnegative. But D^2 + 4 is strictly positive regardless of the value of D. Hence D can be anything.
How to solve your question
Your question is
(+)−7+8
Simplify
1. Eliminate redundant parentheses
(+)−7+8
+−7+82
Add the numbers
+−7+8
++1
Solution
++1
Evaluate the power.
0.4 2=____
Answer:
0.2
Step-by-step explanation:
Answer:
0.16
Step-by-step explanation:
Mark goes to buy some food for his friends.He has $50 pocket money,and hes looking to buy chocolate pies for $5 each and apple pies for $4 each.Write the eniquality to decribe the possible number of chocolate pies and apple pies that mark can buy
Answer:
The inequality is given as:
5x + 4y ≤ 50
Step-by-step explanation:
Let the number of
Chocolate pies = x
Apple pies = y
He has $50 pocket money,and hes looking to buy chocolate pies for $5 each and apple pies for $4 each.
Hence:
$5 × x + $4 × y ≤ $50
The the inequality to describe the possible number of chocolate pies and apple pies that mark can buy is given as:
5x + 4y ≤ 50
Toni rows a boat 4.5 km/h upstream and then turns around and rows 5.5 km/h back downstream to her starting point. If her total rowing time is 48 min, for how long does she row upstream? Express your answer to the nearest minute.
A. about 30 min
B. about 26 min
C. about 44 min
D. about 24 min
Answer:
b
Step-by-step explanation:
PLEASE HELP ME WITH THIS! I WILL FAIL IF I DONT TURN THIS IN
Answer:
A
Step-by-step explanation:
I am 100% sure
Someone please help!!!
(1, 7.6)(2, 7.2)(3, 6.8)(4, 6.4)(5, 6)(6, 5.6)
Is this a function?
What is 7/2 divided by 5/4
Answer:
14/5
Step-by-step explanation:
7/2÷5/4
7/2×5/4
7×4/2×5
28/2×5
28/10
14/5
Answer:
Step-by-step explanation:
[tex]7/2/5/4[/tex]
This could be written as
[tex]7/2 (4/5)[/tex]
Multiply these answers
28/10 = 2.8
I need help with this question
Answer:
The scale factor is 1 to 3
Step-by-step explanation:
Here, we want to determine the dilation scale
As we can see we have a dilation of 9 to 27
The ratio here will be;
9 to 27
which is 1 to 3
If tan 0 = 8/15, what is sin 0?
If y = 2 and x = 5, Then solve
3x + 4 + 2y
A 20
B 61
C 23
D 0
Answer:
C
Step-by-step explanation:
Sebastian bought snacks for his team': practice. He bought a bag of popcorn for $1.68 and a 15-pack of juice bottles. The total cost before tax was $21.78. Write and solve an equation which can be used to determine x, how much each bottle of juice costs?
Answer:
Each bottle of juice costs $1.34.
Step-by-step explanation:
From the information given, the equation would indicate that the total cost is equal to the price per bag of popcorn for the number of bags plus the price per pack of juice bottles for the number of packs.
Total cost=(1.68*1)+15x
Total cost=1.68+15x
Now, you can replace the total cost with $21.78 and solve for x:
21.78=1.68+15x
21.78-1.68=15x
20.1=15x
x=20.1/15
x=1.34
According to this, the answer is that each bottle of juice costs $1.34.
Answer: $1.25
Step-by-step explanation:
jada made 10 cups of blueberry jam and divided the jam equally among 6 containers. how much jam went into each container
Answer:
3/5 or 0.6
Step-by-step explanation:
i dont really get the question, but 6+4= 10.
Order from least to greatest 5; -2; -10; -1
PLEASE ANSWER THISSS!!!!
Which answer choice describes y = -3x2 +7x - 2 accurately?
Answer:y = y = -7x
Step-by-step explanation: y - 14 = -7(x - (-2))
y - 14 = -7x - 14
Plz help ASAP I will mark brainleist
Answer:
6 units
Step-by-step explanation:
They are on the same y-point and so you just have to count the spaces between them on the x-axis.
12 units is the distance between q and r
A number minus twice another number is 4. Three times the first number plus two times the second number is 12. What are the numbers?
Answer:
4 and 0
Step-by-step explanation:
I hope this helps
The first number is 4 and the second number is 4.
What is the system of equation?One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.
Given:
A number minus twice another number is 4.
Three times the first number plus two times the second number is 12.
Let numbers are n and m.
According to the question;
n- 2m = 4 equation 1
3n + 2m = 12 equation 2
Now, we have the system of equation.
To solve the equation,
Add both of the equation,
4n = 16
n = 4
Then m = 0
Therefore, 0 and 4 are the numbers.
To learn more about the system of equation;
brainly.com/question/13729904
#SPJ2
It was recently estimated that homes without children outnumber homes with children by seven to five. If there are 3564 homes in the county, how many of them are homes without children
Answer:
2079
Step-by-step explanation:
Homes without children outnumbers homes with children by about 7 to 5 ;
If number of children = 3564
Number of homes without children :
Expressing the relaship interms of ratio :
Without children : with children = 7 :5
Total ratio = 7 + 5 = 12
Number of homes without children:
(7 / 12) * 3564
0.5833333 * 3564
= 2079
the the product of the zeros of
[tex] {x}^{2} + 4 {x}^{2} + x - 6[/tex]
is
a)-4
b)4
c)6
d)-6
can someone pls help!!!
3n+4=10
answer= n=2
c+2=18
record the letters in your triangle from left to right example ABCDEFGHI
Answer:
ABYARCIST
Step-by-step explanation: like that hope i did it right
Triangle is a polygon with 3 sides. The record of the letters in your triangle from left to right is EGFBIHDCA.
What is a triangle?A triangle is a polygon with 3 sides. Also, It has three vertices.
As the example is given to us, ABCDEFGHI is the record of the letters that are when seen from top to bottom, therefore, if we rotate the triangle such that the left side of the triangle is on the upper side, then the triangle we will get is given below.
Thus, the record of the letters in your triangle from left to right is EGFBIHDCA.
Learn more about Triangle:
https://brainly.com/question/25813512
At 3pm the outside Temperature was 4°F . The Temperature then fell steadily by 2°F every hour for the next four hours . What was the temperature at 7 PM
Answer:
Step-by-step explanation:
Temperature at 3pm: 4° F
After the decrease in temperature per hour by 2°F
Temperature at 4pm: 2°F
Temperature at 5pm: 0°F
Temperature at 6pm: -2°F
Temperature at 7pm:-4°F
Hence we can say that the temperature at 7pm is -4°F
1.Ms. Bowery bought five shirts and one pair of pants for a total of $56.23. Each shirt cost
the same price. The pants cost $7 more than a shirt. How much did each shirt cost? Round to
the nearest dollar and cent
A) $9.20
B) $49.26
C) $8.20
D) $10.20
Answer:
[tex]\mathrm{C)\:} \$8.20[/tex]
Step-by-step explanation:
Let [tex]s[/tex] represent the cost of each shirt in dollars. We can write the cost of the pants as [tex]s+7[/tex]. Using these terms, set up the following equation:
[tex]5s+(s+7)=56.23[/tex].
Solving, we get:
[tex]5s+s+7=56.23,\\6s=56.23,\\6s=49.23\\s\approx \fbox{$\$8.20$}[/tex]
Wgat is 7(y+5)-12y ?
Rachel has a ribbon that is 16.2 metres long. Sheena has a ribbon that is 8.3 metres shorter than Rachel's ribbon.What is the total length of the two ribbons?
Answer:
24.1m
Step-by-step explanation:
We have these informations to answer this question with.
Length of Rachel's ribbon = 16.2 m
Sheena's ribbon = 8.3m shorter than Rachael's
So,
Sheena's ribbon = length of Rachael's ribbon - 8.3m
= 16.2m - 8.3m
= 7.9m
The total length of the two ribbons
= length of Sheena's ribbon + length Rachael's ribbon
= 16.2 + 7.9
= 24.1 m
help appreciated.
How many hours of training would you need to have a salary of $2,000?
Answer: you will have 56
Step-by-step explanation:
Answer:
100 hours
Step-by-step explanation:
Because 18 would be 1800 and then 19 would be 1900 and then 100 would be 2000
Describe the features of the Free-market system
Answer:People often use the terms free enterprise, free market, or capitalism to describe the economic system of the United States. A free enterprise economy has five important characteristics. They are: economic freedom, voluntary (willing) exchange, private property rights, the profit motive, and competition.
Step-by-step explanation:
Answer:
Feature 1 # Property Rights:Property rights are social institutions that govern the ownership, use and disposal of resources, goods and services.
Feature 2 # Freedom of Private Enterprise:Allied to the property rights is freedom of enterprise which is another basic feature of a market economy. Freedom of enterprise means that everybody is free to engage in whatever economic activity he pleases. In other words, he is free to choose to work in any industry he likes or adopts any occupation or trade he desires.
Feature 3 # Profits and Prices: Incentives and Information:No individuals would work and save if adequate incentives are not provided to them in the form of wages and interest respectively. Similarly, the firms will not produce goods and services and bear risk of losing money if sufficient incentives are not given to them. Profits are earned from undertaking the task of producing goods and services and introducing new products and new techniques of production. Profits earned by the firm depend on prices of goods and services produced and cost incurred.
Feature 4 # Competitive Markets:In ordinary speech the word market means a place where buyers and sellers meet to buy and sell goods. In economics, market has a wider meaning and is interpreted to mean any arrangement that enables buyers and sellers to exchange things; they may contact each other through telephone, fax or direct computer link to negotiate prices of goods they buy and sell. In our above example, rational and self-interested consumers and profit-maximizing firms contact each other through any media and buy and sell things on the negotiated price.
if f(x) = 72(1.25)^x and f(1) = 72(1.25)^1 = 11.25 f(2) = 72(1.25)^2 = ?????????
I need this solved ASAP it is important please help me NO FAKE ANSWERS
Answer:
f(1)=101.25 and f(2)=112.5
Step-by-step explanation:
f(1) = 72(1.25)^1 = 11.25
f(1)=90=11.25
f(1)=101.25
f(2) = 72(1.25)^2
f(2)=72(1.5625)
f(2)=112.5
You can buy 20 fluid ounces of shampoo for $4.40 or, you can buy 24 fluid ounces for $4.80 which is the better buy? Please answer in complete sentences and i will give brainliest with most detail please don answer for points i will delete your answer
Answer: the 20 fluid ounces is better
Step-by-step explanation:
If you divide 20 by 4.40 that is 4.54 but if you divide 24 by 4.80 that is 5. You want to divide 20 by 4.40 because 20 is the fluid ounces and 4.40 is the money divide that to get the cost per fluid ounce then you do the same with the 24 fluid ounces and by doing that you get the sot for 1 fluid ounce then look at both of your answers and see which one is less. which one is less is the better one.
Need help ??????????????
Answer: the answer is the first one ,the third one , and the fourth
Step-by-step explanation:5x5 25
15x15 225
11. Sara borrowed *60,000 from a money lender at 15% rate of interest per annum. What is
the interest she paid after 4 years?
Answer:
36000
Step-by-step explanation:
Given the following
Principal = 60,000
Rate = 15%
Time = 4years
Using the simple interest formula
SI = PRT/100
SI = 60000*15*4/100
SI = 600 * 60
SI = 36,000
Hence the interest paid after 4 years is 36000