Answer:
A) 1.3 represents the number of foodbank users in thousands in the year 2006
B) 0.81 per year
C) 124.79%
D) the doubling rate is less than a year.
Step-by-step explanation:
A) We are given N(t) = 1.3e^(0.81t) where t in thousands the number of years since 2006. N(t) is in thousands
Thus, in 2006,t = 0.
So, N(0) = 1.3e^(0.81 × 0)
N(0) = 1.3
Thus,1.3 represents the number of foodbank users in thousands in the year 2006
B) From the question, we see that the continuous growth rate is 0.81t.
This is 0.81 per year
C) The exponent of the growth rate is e^(0.81t).
Thus gives; 2.2479^(t)
This means the annual growth factor for each year is 2.2479.
Thus,annual percent growth rate is;
(2.2479 - 1) × 100% = 124.79%
D) From C above we saw that the annual percent growth rate is more than 100%. This means that it takes less than a year for the number of users to be doubled.. Thus, the doubling rate is less than a year.
Kevin and monica lead visitor tours at a museum. Last month, both kevin and monica led the same number of vistors. Kevin lead 150 adults, plus 6 student groups. Monica led 134 adults, plus 8 student groups. If each student group had the same number of students, which equation could be used to determine the number of students in each group?
Answer:
Number of students in each group = 8
Step-by-step explanation:
kevin and monica led the same number of vistors.
Let x = number of students in each group
Kevin lead 150 adults, plus 6 student groups.
150 + 6x
Monica led 134 adults, plus 8 student groups.
134 + 8x
Equate both equations
150 + 6x = 134 + 8x
Collect like terms
150 - 134 = 8x - 6x
16 = 2x
Divide both sides by 2
x = 16 / 2
= 8
x = 8
Number of students in each group = 8
Linda has outgrown the bike she rode when she was small. So, for her twelfth birthday, her parents surprise her with a five-speed Blaze Rider 2000! Linda has never had a bike with multiple speeds before, and she is eager to learn how it works. She starts by testing the middle speed. There is a proportional relationship between the number of times Linda pedals, x, and the number of times the wheels rotate, y. The equation that models this relationship is y=3x. How many times do the wheels rotate when Linda pedals 2 times? Write your answer as a whole number or decimal
Answer:
6 times
Step-by-step explanation:
Given the proportuonal relationship between exists between the number times Linda pedals (x) and the number of times wheels rotate (y) as ;
y = 3x
How many times do the wheels rotate when Linda pedals 2 times
Here, x = 2
From ; y = 3x
y = 3(2) = 6
Hence, wheel rotates 6 times.
Answer:
Step-by-step explanation:
yall play copter royale ?
Answer:
i do i am right noww lol
Step-by-step explanation:
Ariana buys an ant farm from a store near her home. The ant farm’s price is $12, and the sales tax is 7%. What is the total price of the ant farm?
Answer:
$12.84
Step-by-step explanation:
Start by dividing 12 by 100 to get 0.12 to get 1% of the price of the ant farm.
Then multiply 0.12 by 107 to get the price + tax.
You'll end up with 12.84.
Then just add your units to get $12.84.
One car rental agency charges $0.29 per mile plus a $10 weekly fee. Another rental agency charges $.0.35 per mile with no fee. You need to rent the car for 3 weeks. Write and solve an equation to find the number of miles for which both agencies will charge the same.
Answer:
166.67 miles.
Step-by-step explanation:
let the number of mile for which the cost for both car rental be same is x mile
For first car rental
weekly fees charged = $10
cost of 1 mile = $0.29
cost of x miles = x*cost of 1 mile = $0.29x
total money charged by first car rental = $10 + $0.29x
For other car rental
weekly fees charged = 0
cost of 1 mile = $0.35
cost of x miles = x*cost of 1 mile = $0.35x
total money charged by other car rental = $0.29x
_______________________________________
since we have to find miles for which charges are same
thus
total money charged by first car rental = total money charged by other car rental
10 + 0.29x = 0.35x --------------------equation required
=> 10 = 0.35x - 0.29x
=> 10 = 0.06x
=> x = 10/0.06 = 166.67
Thus, the number of miles for which both agencies will charge the same is 166.67 miles.
PLZ ANSWER THIS QUICK! THANKS!
Answer:
a) 300m
b) 15 miles
Step-by-step explanation:
a) 1 : 30 000
= 1x 30 000
= 30 000cm
= 30 000cm/ 100 Representing in metres
= 300m
b) 1 : 6
= 1x 2.5 : 6x 2.5
= 2.5 : 15
= 15 miles
of
estion
Instructions: Write the equation of the line in
Slope-Intercept Form given the information
below. Use Point One in your answer.
Point One = (0, -2)
Point Two = (-3, -5)
Slope-Intercept Form:
can somebody help please
Answer:
(x^3y)/2
Step-by-step explanation:
i need help with this
Answer:
x1=-1/97/12xx2=1 1=/97/12
Step-by-step explanation:
2
X=6x^2+4=0
-6x2^-x+4=0
Math helppppppppppp
-0.05/ -5/8
6 1/4/ -5/16
-3/5 / 2 1/4
-9/10/ 1 3/5
Answer:
1) 0.08
2) -20
3) -4/15 or -0.26 repeating
4) -9/16 or -0.5625
1.) In a department store, a $120 belt is marked 25% off.
What is the discount?
What is the sale price of the dress?
Answer:
$30
$90
Step-by-step explanation:
Given parameters:
Selling price of belt = $120
Percentage discount = 25%
Unknown:
Discount = ?
Sale price of the dress = ?
Solution:
Discount is a reduction in the price of a commodity.
Discount = percentage discount x selling price of belt
Input the parameters and solve;
I. Discount = [tex]\frac{25}{100}[/tex] x 120 = $30
II. Sale price of the dress;
= selling price - discount amount
= $120 - $30
= $90
It takes 40 units of maple sap to produce 1 ounce of maple syrup. Jane and her family are bottling maple syrup in 20 -ounce bottles. She notices that they leave about 2 ounces of air every time they fill a bottle, to avoid overfill. How much maple sap did they need to collect to fill 15 bottles? How much less maple sap did they need than if they would have filled each bottle to the top? Express your answer as a negative number.
Answer:
10,800
-1200
Step-by-step explanation:
Given that :
40 units of maple sap = 1 ounce of maple syrup
Using a 20 - ounce bottle, 2 ounces of air is left
Ounces of actual syrup = (20 - 2) = 18 ounces
Number of maple sap required to fill 15 bottles :
Number of maple saps required to fill 18 ounces bottle :
40 units = 1 ounce
x = 18 ounces
Hence, for 18 ounces of maple syrup :
(40 * 18).= 720 units of maple sap
For 15 bottles of 18 ounces maple syrup:
(720 * 15) = 10,800 units of maple sap
If they had filled each bottle to the top:
(40 * 20 * 15) = 12000 units of maple sap
10,800 - 12000 = - 1200 units of maple sap
estimate then divide 36712 divided by 52
Answer:
7060 Step-by-step explanatiojo:
can someone who KNOWS WHAT theyre doing and is good at angles please help
m1=51
m2=18
m3=123
m4=39
***remember the 180 rule, and supplementary/complementary angles!
180 rule: all triangle's internal angles add up to 180, this means if you know any two angles you can always find the last one
supplementary angles:
angles that add up to 180, 180 is a straight line so they can be found on almost all triangle problems.
if there is a straight line and you know one of the angles that is on the line, you can find the other one by subtracting it from 180
complementary angles:
same thing ^ but with 90
i hope my explanations make sense! let me know if you have any more questions :)
The shoes cost 35.00 and the tax is 6.5%. How many tax will you pay on the shoes?
Answer:
The tax is 2.28
Step-by-step explanation:
Take the cost of the shoes and multiply by the tax rate
35 * 6.5%
Change to decimal form
35 * .065
2.275
Round to the nearest cent
2.28
The tax is 2.28
1. (3x + 7) + (8x + 2)
can you tell me the answer
Highlands
The dot plots show rainfall totals for several spring
storms in highland areas and lowland areas.
What is the range of rainfall for the highland storms?
4 0 8 10 12 14 16 18 20 22 24 26 28 30 32
Lowlands
What is the range of rainfall for the lowland storms?
2 4 6 8 10 12 14 16 18 20 22 24 26 28 30
Answer:
30
26
Step-by-step explanation:
Tony is selling boxes of cookies. He charges $7 for the box plus $2 per cookie.One filled box sells for $35 how many cookies will fit in the box
Answer:
14
Step-by-step explanation
you start at 7$ then you add 2$ per cookie to get the total in this case you can fit 14 cookies for 35$
An animal shelter has $2500 in its reserve fund. The shelter charges $40 per animal placement and would like to have at least $4000 in its reserve fund. Write an inequality to represent this situation.
Answer:
Step 1
Write and solve the inequality:
2,500 + 40a ≥ 4,000, or 40a ≥ 1,500
a ≥ 37.5
Step 2
If the shelter places 30 cats and 10 dogs,
or 40 animals, that will be enough to meet
its goal, because a = 40 is a solution to the
inequality a ≥ 37.5.
Maria receives a commission of 11.5% for each pair of shoes she sells. She earned $207 in commission last week. What was the dollar amount of shoes she sold?
The dollar amount of shoes she sold is $1800
Let the amount of the shoe sold e xWhat is commission?It is the amount earned on a product bought or sold.
If she receives a commission of 11.5% for each pair of shoes she sells and earned $207, the amount earned is calculated using the formula:
11.5% of x = 207
0.115x = 207
Divide both sides by 0.115
x = 207/0.115
x = $1800
Hence the dollar amount of shoes she sold is $1800
Learn more on discount here: https://brainly.com/question/24304697
What is an equation of the line that passes through the points (6,-4) and (1,6)?
Put your answer in fully reduced form.
Answer:
y
=
m
x
+
b
to find the equation.
y
=
−
2
x
+
8
Step-by-step explanation:
8 x 101 which one is it?
8
8O
800
Answer:
808
Step-by-step explanation:
(essay)
I was suprised that i....
It was about Mathematics factoring polynomials
Answer:
yes you should be surprised
Please help number 7
Answer:
Ok, so first, at the end of the equation, It says "+ 4" , right? So you put a point on positive 4 on the y-axis (the one that goes up and don, the vertical line.). Then, 2x means that's your slope, but since your graph only goes up to five, you gotta count down ward. So, go down from your point on the y-axis (4) twice and over to the LEFT (<--) once. Plot your point where you end up. then use a straightedge like a ruler, and connect your two points on the graph, and you have your line!
Hope this helps!
Answer:
it is cubix 12
Step-by-step explanation:
yw hope it helps!
The Blue Plane travels at a constant speed of 120 miles per hour. If it travels for 2 1/2 hours to get to Pennsylvania how far did it go?
Answer:
The answer is 300 miles
Step-by-step explanation:
120x2=240
120x .5= 60
240+60=300
Jill is building a wooden raised bed garden for her vegetable she wants the frame to have dimension X feet by X +3 feet if she wants the garden to have a maximum area of 50 ft.² what are the possible values of X
Answer: 0ft < X ≤ 5.73ft
Step-by-step explanation:
In this case, we have a rectangle.
For a rectangle of length L and width W, the area is:
A = L*W.
And we have:
L = X
W = X + 3ft.
Then the area will be:
A = X*(X + 3ft) = X^2 + 3ft*X.
And we want to have a maximum area of 50ft^2.
Then we can write:
A = X^2 + 3ft*X ≤ 50ft^2
Now let's solve this for X.
Now, the first thing we can see is that both coefficients in our quadratic equation are positive, so as the absolute value of X increases, also does the whole equation.
Then makes sense start for the upper limit of X, this is when:
X^2 + 3ft*X = 50ft^2.
Now we can solve the quadratic equation:
X^2 + 3ft*X - 50ft^2 = 0
Applying the Bhaskara formula, the solutions are:
[tex]X = \frac{-3ft +- \sqrt{(3ft)^2 - 4*1*(-50ft^2)} }{2} = \frac{-3ft +-14.46ft }{2}[/tex]
Then we have two solutions:
X = (-3ft - 14.46ft)/2 = -8.73 ft.
X = (-3ft + 14.46ft)/2 = 5.73 ft
Because X represents a distance, it can only be positive, then we must select the option X = 5.73ft.
This is the maximum value of X, and we will have:
0ft < X ≤ 5.73ft
Where the lower limit is there because we can not have X = 0ft, as this does not have physical meaning.
Rounded 2.317 to the nearest thousand
Answer:
2.32
Step by Step Explanation:
5 and above, Give it a shove
1 rounds to 2 because of the 7
2.317 = 2.32
HELP PLEASE HELP I’m doing geometry please help
Answer:
(4x - 10) + x = 90 degrees
x = 20
Find the value of a and b when x =10
Answer:
A=250
B=10
Step-by-step explanation:
You plug in 10 for x and solve