Using an exponential function, it is found that the total amount of waste these households are expected to produce in 2020 is of 117,649 tones.
What is an exponential function?A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.In this problem, we have that:
The households produced a total of 125 000 tonnes of waste in 2017, hence A(0) = 125000.The total amount of waste is expected to fall by 2% each year, hence r = 0.02.Thus, the equation is:
[tex]A(t) = 125000(1 - 0.02)^t[/tex]
[tex]A(t) = 125000(0.98)^t[/tex]
2020 is 3 years after 2017, hence the amount is:
[tex]A(3) = 125000(0.98)^3 = 117649[/tex]
The total amount of waste these households are expected to produce in 2020 is of 117,649 tones.
You can learn more about exponential functions at https://brainly.com/question/25537936
The temperature was x° F. It increased by 24°F and is now 6°F. What was the original
temperature?
Answer:
The original temperature was -18°F
Step-by-step explanation:
x°F + 24°F = 6°F
or, x°F = 6°F - 24°F
so, x°F = -18°F
Determine the axis of symmetry of the quadratic function!
Answer: x=2
Step-by-step explanation:
The axis of symmetry is the vertical line that divides the parabola into two congruent halves. Therefore whatever the x-intercept is, that is the answer.
Fiona loves pizza. She ate of a pizza for dinner one night. She ordered another pizza the
next day and ate of it for lunch. What fraction of a whole pizza did Fiona eat all together?
[tex]\stackrel{1st~night}{\cfrac{5}{6}}+\stackrel{\textit{2nd night}}{\cfrac{1}{3} }\implies \cfrac{(1)5~~ +~~(2)1}{\underset{\textit{using this LCD}}{6}}\implies \cfrac{7}{6}\implies 1\frac{1}{6}[/tex]
What is a positive integer? what is a negative integer?.
1. 4 : 5 = __ : 30
2. 63 : 81 = 14 : _
please answer quick im having trouble on these two questions!
Answer:
1. 24
2.18
Step-by-step explanation:
1.24 bc
30/5=6
6x4=24
2.18 bc
63/14=4.5
81/4.5=18
Rewrite 2 as an improper fraction.
Answer:
Improper Fraction:A fraction in which the numerator is larger than or equal to the denominator.
Several examples of 2 written as an improper fraction:
[tex]\frac{2}{1} , \frac{4}{2} ,\frac{6}{3}, \frac{20}{10}[/tex]
Hope this helps! Brainliest would be much appreciated! Have a great day! :)(it urgent)
Find the AREA of the SHADED REGION
Answer:
i will answer but there is no picture
Step-by-step explanation:
sorry
The perimeter of a basketball court is 90 meters and the
length is 6 meters longer than twice the width. What are the
length and width?
a
What is the width?
m
What is the length?
m
Answer:
w = 13 m
l = 32
Step-by-step explanation:
let 'w' = width
let '2w+6' = length
P = 2l + 2w
90 = 2(2w+6) + 2w
90 = 4w + 12 + 2w
90 = 6w + 12
78 = 6w
w = 13
length = 2(13) + 6 → 32
l = 32
check:
2(13) + 2(32) should equal 90
26 + 64 = 90
90 = 90 checks out
Write the following in the ratio form a) 0.5 b) 0.6 c) 1.25 d) 3.4
Answer:
A) 1:2
B) 3:5
C) 5:4
D) 17:5
Step-by-step explanation:
Step 1) Convert the decimal number to a fraction
Step 2) Multiply the numerator and denominator by 10 to eliminate the decimal point.
Step 3) Simplify the fraction in the previous step by dividing the numerator and the denominator by the greatest common factor (GCF)
Step 4) Convert the fraction in the previous step to a ratio by replacing the divider line with a colon
Heres an example. I'll do the last one.
3.4 = 3.4/1
(3.4 x10) /(1 x 10)= 34/10
34 /2 = 17
10/2 = 5
17/5 = 17:5
You are a sales rep for a large sheet metal manufacturing firm and want to sell off
some scrap metal. Company A has offered you $13.50 a pound, and it will cost you
$200.00 to package and ship 150 lbs of scrap metal to them. Company B has offered
you $13.20 a pound, and it will cost you $175.00 to package and ship 150 lbs of
scrap metal to them. How much is the most profit you can make on 150 lbs?
Answer:
1,825
Step-by-step explanation:
Multiply $13.50 by 150 then subtract the shipping fee do it on the other answer and you will get your final answer which is 1,825
Answer:
Company A: $1,825
Company B: $1,805
Step-by-step explanation:
Company A will end up giving you the most
1.) 13.50 (payment for 1 lb.) x 150 (# of lbs.) is $2,025
2.) Subtract the $200 shipping fee to get $1,825
Company B is next
1.) 13.20 (payment for 1 lb.) x 150 (# of lbs.) is $1,980
2.) Subtract the $ 175 shipping fee from the total to get $1,805
i need the answer to the question on the image
Answer:
x should equal 10 because 10 divide by -5 would equal -2
What is the slope of the line -9, -6 and 3, -9
Answer:
b
Step-by-step explanation:
We find the slope is 1/4 by graphing the points. Then counting the slope as rise/run
Help me with math I don't understand!please
let'sAnswer:
P ≈ 102.83 cm
Step-by-step explanation:
The window is practically a semi-circle. The formula for the perimeter of a semi-circle is πr + d.
*Remember that d (diameter) = 2 · r (radius)
Let's plug in everything that we know into the formula!
r = 20
d = 2(20) → 40
π(20) + 40 = 102.8318531
Now lets round the answer to the hundredths place.
102.8318531 → 102.83
Answer:
62.83 (estimate)
Step-by-step explanation:
The equation for the perimeter of a circle (also called circumference) is 2 times pi times the radius, or pi times the diameter. Since the window is a semi-circle, you divide the result by two.
[tex]2\pi r\\2(20)\pi = 40 \pi\\40\pi= 125.6\\125.663706144/2=62.83[/tex]
What is the y-intercept of the line?
Write a story problem to go with the multiplication problem 4 x 2/3 Then, solve the problem. PLEASE HELP ASAP
Answer:8/3x
Step-by-step explanation:tell if this didnt work
Jackson is two times older than Shelly if the sum of their ages is 18 how old is Jackson
Answer:
jackson is 12
Step-by-step explanation:
let the age be represented by x
jackson is 2 times older than shelly so
2x is jackson’s age and x is shelly’s age
since the sum of their ages is 18 then:
2x + x = 18
solve:
3x = 18 ➔ divide by 3 on both sides
x = 6
so now we know shelly is 6
jackson is 2 times older than her so:
2(6) = 12
hope this hello and hope it is right
Answer:
12
Step-by-step explanation:
since we know that Jackson is 2x Shelly - we can use trial and error.
for instance,
let's suppose Shelly is 6; that means that Jackson must be 12 (6 x 2)
we can check this answer by adding the two;
12 + 6 = 18
therefore, Jackson is 12
Rhea and Cecil shared Php 500 each to buy the following for their brother's birthday: 12 pies at Php 20.50 each, 6 watermelons at Php 45.50 each, 4 cans of juice at 23.50 each. They spent the rest of the money for ice cream and cookies. How much did they spend for the ice cream and cookies? Round-off to the greatest place value and estimate the product
A. 300
B. 400
C. 500
D. 600
4. Alvin bough
pasagot po need na
What’s the value of x? Show your work
Help me to answer this Math pls
the sum of two consecutive even numbers is 18.find the numbers
Answer:
Numbers are 8 and 10
Step-by-step explanation:
10 + 8 = 18
mike has 5 2/3 pounds of sugar. he used 2 4/5 pounds of sugar to make cakes how many pounds of sugar dose he left
Answer:
[tex]2\frac{13}{15}[/tex]
Step-by-step explanation:
Given the following question:
[tex]5\frac{2}{3} -2\frac{4}{5}[/tex]
In order to find the answer to the question we have to subtract the initial amount of sugar by the amount of sugar Mike has left over after baking the cakes.
[tex]5\frac{2}{3}-2\frac{4}{5}[/tex]
To subtract fractions, we have to convert the mixed numbers into improper fractions and then find the least common denominator (LCD) to solve.
[tex]5\frac{2}{3} =3\times5=15+2=\frac{17}{3}[/tex]
[tex]2\frac{4}{5} =5\times2=10+4=\frac{14}{5}[/tex]
[tex]\frac{17}{3} -\frac{14}{5}[/tex]
Find the least common multiple:
[tex]LCD=15[/tex]
[tex]17\times5=85[/tex]
[tex]3\times5=15[/tex]
[tex]14\times3=42[/tex]
[tex]5\times3=15[/tex]
[tex]\frac{85}{15} -\frac{42}{15}[/tex]
Subtract the numerators:
[tex]85-42=43=\frac{43}{15}[/tex]
Convert into mixed number:
[tex]\frac{43}{15} =43\div15=2\frac{13}{15}[/tex]
[tex]=2\frac{13}{15}[/tex]
Hope this helps.
Mrs. House wants to buy a wireless speaker for her husband. She has narrowed down her choice
to two stores:
• Kohls is selling the speaker for $60.00. Mrs. House has a Friends and Family discount coupon
for 25% off.
• Target purchased the speaker for $38.00 and marked it up by 15% to sell in the store.
1) How much would Mrs. House be paying for the speaker at Kohl’s please i need help on how to show work
Answer:
60/4 is 45 and 38 times 1.15 is 43.70 kohls is more expensive
Step-by-step explanation:
Answer: 15 maybe i do not know
Step-by-step
A solid figure is shown Below. What is the volume in cubic inches? Show your work
Answer: 300 cubic inches
Explanation:
Imagine slicing the T shape into two pieces such that we have two rectangular blocks.
The larger block down below has volume of 3*12*5 = 180 cubic inches.The smaller block on top has volume of 8*3*5 = 120 cubic inchesThe overall volume of this T shape is 180+120 = 300 cubic inches.
Help, how do I do number 16??
HELP HELP IT WORTH A LOT OF POINTS
Answer:
radius= diameter/2= 10/2
*radius=5
circumference= diameter*pi=10*3.14
*circumference=31.4
Step-by-step explanation: hope this helps
if 1 000 bottles of an award-winning wine are to be packed in special gift boxes which can hold six bottles each, calculate how much gift can be filled completely
Answer:
166 gift boxesStep-by-step explanation:
Divide 1000 by 6 and find the whole number:
1000/6 = 166.66Its whole part is 166
..... -4c - 1 > 15 ..... please show your work !!
Answer:
c must be more than -5
Step-by-step explanation:
-4 x -5 =20
20-1=19
HELP!!!!! Explain how to solve 7x−3 = 26 using the change of base formula. Include the solution for x in your answer. Round your answer to the nearest thousandth.
Point A is located at (0, 4), and point B is located at (−2, −3). Find the x value for the point that is 1 over 4 the distance from point A to point B. −1. 5 −2 −0. 5 −1.
Determine the domain of the following graph:
if this question can be answered by 6:25 you'll literally be saving my life
Answer:
Domain: -5, -3, -2, 1, 3
Step-by-step explanation:
Find all the points on the x-axis that line up with the line shown on the graph.
