1.01 is the growth factor that would be needed to provide 1/12th of 12% interest each month.
What are exponential growth and decay?A rise in the resultant quantity for a given quantity is referred to as exponential growth, and a decrease in the resultant quantity for a given quantity is referred to as exponential decay. Over time, exponential functions monitor constant growth. Examples from the actual world include radioactive decay, compound interest, and bacterial proliferation.
Given, the growth factor would be needed to provide 1/12th of 12% interest each month
Remember the formulas:
Increasing: y = a (1 + r)ˣ
Decreasing: y = a(1 - r)ˣ
(1 ± r is the growth factor, while r is the growth rate)
In our case,
since it is an interest It will show the growth rate
Growth rate = 12% of 1/12
Growth rate = 1%
Growth rate = 0.01
Thus,
Growth factor = 1 + r
Growth factor = 1 + 0.01
Growth factor = 1.01
Therefore, The growth factor will be 1.01.
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After the last ice age began, the number of animal species in Australia changed rapidly.
The relationship between the elapsed time, t, in years, since the ice age began, and the total number of animal species, S(t), is modeled by the following function:
S(t)=4,200,000⋅(0.72)t
Complete the following sentence about the yearly percent change of the number of animal species.
Every year, _______ percent of species are SUBTRACTED/ADDED from the total number of animal species.
Answer:
Every year 28 percent of species are SUBTRACTED from the total number of animal species.
Step-by-step explanation:
Exponential growth or decay:
The equation for exponential growth or decay has the following format:
[tex]A(t) = A(0)(1+r)^t[/tex]
In which A(0) is the initial amount and r is the growth/decay rate, as a decimal.
If r > 0, each year r percent is added to the total number, and if r < 0, each year, r percent is decreased from the total number.
In this question:
[tex]S(t) = 4200000(0.72)^t[/tex]
So
[tex]1 - r = 0.72[/tex]
[tex]r = 0.72 - 1 = -0.28[/tex]
Thus
Every year 28 percent of species are SUBTRACTED from the total number of animal species.
When Mrs. Weeks bought all of the baseballs and softballs, she paid
for them using four $100.00 bills. How much change did she receive?
2. Write expressions that include parentheses and order of operations to
show how to find the answer. Show your work.
3. After school began, Mrs. Weeks realized that she needed more
basketballs and footballs. If she spent $135.00 on basketballs and
$48.00 on footballs, how many more balls did she purchase?
4. Write expressions the include parentheses and order of operations to
show how to find the answer. Show your work.
Part 3
Directions: Use pictures and equations to show your work.
At the end of the year, Mrs. Weeks bought an assortment of new balls to
replace some of the old ones. She had $150.00 to spend. Describe two
different ways that Mrs. Weeks could spend her money if she bought at least
two of each of the balls.
Use coins or cut out the manipulatives on the next page to help you act out
the problem. I need help on this one the most please answer
Answer:
eeeee
Step-by-step explanation:
88.128 x 0.5 Multiplication question
Answer: 44.064
Step-by-step explanation:
Answer:
44.064
thats the answer
find the value of x in each case. will be posting more questions soon.
Ben rented a car. It cost $30.00 plus $0.25 per mile. If Ben paid $85.00 for the car rental, how many miles did he drive the car? Write an equation and then use your equation to find your answer.
Answer:
220 miles
Step-by-step explanation:
85-30=55
55/.25=220
220 = miles
Answer:
Equation:
30 + 0.25x = 85
Work:
30 + 0.25x = 85
85 - 30 = 55
55 / 0.25 = 220
Final answer:
200 miles
Step-by-step explanation:
Hope this helped and have a nice day!!!
The pentagons JKLMN and PQRST are similar.
Find the length x of PQ.
Answer:
[tex]x = 9[/tex]
Step-by-step explanation:
Given
The similar pentagons
Required
Find x
To do this, we make use of any equivalent ratios.
In this case, we use:
[tex]KL : QR = KJ : QP[/tex]
Replace each of the above with the side lengths
[tex]4 : 7.2 = 5 : x[/tex]
Express as fractions
[tex]\frac{4 }{ 7.2} = \frac{5 }{ x}[/tex]
Cross multiply
[tex]4 * x = 5 * 7.2[/tex]
[tex]4x = 36[/tex]
Divide by 4
[tex]x = 9[/tex]
what is the volume of the prism 2m x 3m x 5m
Answer:
30 m³
Step-by-step explanation:
2 m x 3 m x 5 m= 30 m³
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
The Scenario: Your manager has asked you to help plan your company's participation at a local trade show. You have $3000 to spend on the booth space and product brochures. Use what you know about solving inequalities to prepare a proposal that meets the budget.
Answer:
[tex]x + y\le 3000[/tex]
Step-by-step explanation:
Given
[tex]x \to booth[/tex]
[tex]y \to brochures[/tex]
[tex]Total = 3000[/tex]
Required
The inequality for this scenario
The total spending will not exceed the amount they have to spend; So, the inequality is:
[tex]x + y\le 3000[/tex]
IV
Evaluate the following:
a) A tea manufacturing company produces normal and green tea bags only. If 52.8% of 36850 total
production is normal tea bags, how many green tea bags are there?
b) If 61.6% of students out of 9855 total students are based in England, how many students are
based in England?
Answer:
A. Ans: Given,
Solution,
A tea manufacturing company produces normal and green tea bags only.
52.8% of 36850 production is normal tea bags.
Now,
Number of green tea bags=52.8% of 36850
=52.8/100×36850
=19456.8
Therefore, Number of normal tea bags=19456.8
The number of green tea bags is 17384
The number of students is 3071
What is Percentage?
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
Given data ,
a )
Total production of tea bags = 36850
Percentage of normal tea bags = 52.8 %
Total production of normal tea bags =
Percentage of normal tea bags x Total production
Total production of normal tea bags = ( 52.8 / 100 ) x 36850
= 19465.8 tea bags
Therefore , total amount of green tea bags = Total tea bags - Total normal tea bags
= 36850 - 19465.8
= 17384.2
≈≈ 17384
Hence , Total amount of green tea bags = 17384.2
b )
Total number of students = 9855
Percentage of students based in England = 61.6 %
Number of students based in England = Percentage of students x Total number of students
Number of students based in England = ( 61.6 / 100 ) x 9855
= 6070.68
≈ 6071
Hence , total number of students based in England = 6070.68
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Gary is cleaning windows. He sets his ladder 25 feet away from the wall of the house to reach the windows on the second story, which are at a height of 20 feet above the ground. He moves his ladder 15 feet closer to the wall to reach the windows on the third story of the house.
Approximately how high above the ground are the windows on the third story of the house?
A.33.5ft
B.28.3ft
C.30.4ft
D.32.0ft
The 28.3 feet high above the ground are the windows on the third story of the house.
It is required to find the height.
What is the Pythagorean Triple?The Pythagorean triple can be described as any three set of integers representing sides of a right triangle that are solutions to the Pythagorean Theorem, which is given as:
c² = a² + b².
Given that:
Distance between ladder and wall=25 feet
Height of window=20 feet
Closer distance between ladder and wall=15 feet
We know the Pythagoras theorem , we get
[tex]a^{2} +b^{2} =c^{2}[/tex]
we have
a=15 feet
b=?
c=25 feet
So,
[tex]a^{2} +b^{2} =c^{2}\\\\15^{2} +b^{2} =25^{2}\\\\225+b^{2} =625\\\\b^{2}=625-225\\\\b^{2}=400\\\\b=20 feet[/tex]≈28.3 feet
Therefore, the 28.3 feet high above the ground are the windows on the third story of the house.
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the sum of a number and its inverse is 3 29/52 . Find the number?
I want the working out and the answers please
Answer:
x1=
104
329+
329
2
−10816
x2=\frac{329-\sqrt{329^{2} -10816} }{104}x2=
104
329−
329
2
−10816
The sum of a number and its inverse is 3 29/52. Find the number?
x+1/x=329/52
x+1/x-329/52=0
solve the fraction
(\frac{(52x^{2} +52-329x)}{52x} =0
52x
(52x
2
+52−329x)
=0
52x^{2} +52-329x=052x
2
+52−329x=0
52x^{2} -329x+52=052x
2
−329x+52=0
using the quadratic formular
(-b+-√b^2-4ac) / 2a(−b+−√b
2
−4ac)/2a
x=\frac{329+-\sqrt{(329)^{2} -4*52*52} }{2*52}x=
2∗52
329+−
(329)
2
−4∗52∗52
x1=\frac{329+\sqrt{329^{2}-10816 } }{104}x1=
104
329+
329
2
−10816
x2=\frac{329-\sqrt{329^{2} -10816} }{104}x2=
104
329−
329
2
−10816
Which statements are true? Select all that apply.
Answer:
A,B, D
Step-by-step explanation: I just took that test and i got it right
2x^2 + 15x + 7 = 0
Step by step please!
Answer: How do you want this problem to be solved like by factoring? lmk
Step-by-step explanation:
Step-by-step explanation:
Let's solve your equation step-by-step.
2x2+15x+7=0
Step 1: Factor left side of equation.
(2x+1)(x+7)=0
Step 2: Set factors equal to 0.
2x+1=0 or x+7=0
x=−12 or x=−7
Answer:
x=−12 or x=−7
If bob has 10 apples and joe takes 2 how many apples does bob have ?
10-2=8
So,Bob has 8 apples left
Answer:
8 apples
Step-by-step explanation:
10-2=8 apples
How many apples does Bob have ? Bob is left with 8 apples now.
1/4 carton of ice cream divided wvenly by 3
Answer:
Hello There!!
Step-by-step explanation:
You multiply the reciprocal which is 4 by 3 and that is 12.
Another method: 1/4 ÷3 (use KFC) so it is keep 3,flip the fraction so it is 4/1 them change the sign ÷ into multiplication so it is 3×4/1=12. Therefore,the answer is 12.
hope this helps,have a great day!!
~Pinky~
3,984,896 rounded to the nearest hundred
Answer:
3,984,896 rounded to the nearest hundred is 3,984,900
RJ's teacher gave a pop quiz in math class yesterday. The scores on the quizzes ranged from 60% to 100%. What grade did most students earn on the pop quiz?
Answer:
Grade's of most student = 80% (Approx.)
Step-by-step explanation:
Given range:
Range of quiz = 60% to 100%
Find;
Grade's of most student
Computation:
⇒ Grade's of most student = Average grade
⇒ Average mean = Sum of observation / number of observation
⇒ Grade's of most student = [60 + 100] / 2
⇒ Grade's of most student = 160 / 2
Grade's of most student = 80% (Approx.)
In Exercises, we present descriptions of designed experiments. In each case, identify the
a. experimental units.
b. response variable.
c. factor(s).
d. levels of each factor.
e. treatments.
Oat Yield and Manure. In a classic study, described by F. Yates in The Design and Analysis of Factorial Experiments (Commonwealth Bureau of Soils, Technical Communication No. 35), the effect on oat yield was compared for three different varieties of oats and four different concentrations of manure (0, 0.2, 0.4, and 0.6 cwt per acre).
Answer:
Experimental unit = Oat
Response variable = Oat yield
Factors : Oat varieties ; Manure Concentration
Level of factors :
Oat = 3 levels
Manure concentration = 4 levels
Step-by-step explanation:
The experimental unit in this scenario is Oat, as it is the material or entity which we wish to research or learn about.
The response variable is what we intend to measure about the experimental unit, which is the yield of oat.
Factors here are the varieties of oat and the concentration of Manure which are the entities responsible for changes in the output or behavior of the dependent variable.
Level of factors : the different varieties of the factor variable, we have three Oat levels and 4 different Manure concentration levels.
Plzzzzz helpppp, Find the value of x
Answer:
51
Step-by-step explanation:
Which shows the best path to find the number of centimeters in 1 yard?
yards -> inches -> centimeters
yards -> feet -> centimeters
centimeters -> feet -> inches
centimeters -> feet -> yards
Answer:
yards feet centimeters
whats a mode in a data set
Answer:
The data value that appears the most.
Step-by-step explanation:
In the data set 1,1,1,2,2,3,4,4 one would be the mode, as it is the number that appears the most.
Which point is a solution to the system of inequalities?
StartLayout Enlarged left-brace first row y greater-than-or-equal-to one-half x squared + 4 second row y less-than StartRoot x + 2 EndRoot + 6 EndLayout
(–2, 6)
(1, 9)
(2, 8)
(0, 4)
D) (0,4)
Correct on Edge 2021
The correct option is 4. (0,4)
Given inequalities are [tex]y\geq \frac{1}{2} x^{2} +4[/tex] and [tex]y< \sqrt{x+2}+6[/tex] .
Taking first inequality,
[tex]y\geq \frac{1}{2} x^{2} +4[/tex]
Or, [tex]y=\frac{1}{2} x^{2} +4[/tex]
now checking which option satisfy the above equation.
Taking option 1.(–2, 6)
on putting x= - 2 and y=6, we get
[tex]6= \frac{1}{2} (-2)^2+4[/tex]
[tex]6=6[/tex]
Hence option 1 (–2, 6) satisfy the equation.
Similarly checking for option 2 and 3 we find that these options totally not follow inequality, so option 3 and option 2 must not be the solution of given inequality.
Now option 4 (0, 4).
Putting x=0 and y = 4, we get
[tex]4=0+4\\4=4[/tex]
Hence option 4 also satisfy the first inequality.
Now we have two option to choose our final answer option 1 and option 4.
since option 4 lies in the shaded region so option 4 will be correct option.
Hence the correct option is 4. (0,4)
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find the measure of the missing angle
Answer:
61
Step-by-step explanation:
Consider the three points (-7, -7), (21, 14), (49, 35). Part A: Which of the following points are on the same line that passes through the (-7, -7), (21, 14), (49, 35)? Select all that apply. A. (5, 9) B. (5, 2) C. (17, 11) D. (4, 3) E.) (33, 23) Part B: Show or explain how you determined which points were on the line and which were not on the line.
Answer:
A. (5, 9)
Step-by-step explanation:
Jill says that 1 2/3 equals 3:5 is Jill correct
Answer:
Not true. Actually, 1 2/3 equals 5/3.
Answer: No
Step-by-step explanation:
If we were to change 1 2/3 into an improper fraction, it would be 5/3. This is expressed as 5:3, not 3:5. These two ratios are not the same. Therefore, Jill is not correct.
Hope this helped :)
What is the domain for √(3x-3)? *
all real numbers except x=1
all real numbers for x≥1
all real numbers for x≥0
all real numbers except x=0
Find value of x
A. 15
B. 18
C. 16
D. 19
Answer:
x = 19
Step-by-step explanation:
By the Supplementary Angle Theorem we can say that;
123 + 3x = 180
3x = 57
x = 19
Hope this helps!
Three people are sitting on a bus. Porter is seated 8 feet directly behind Ellen and 3 feet
directly left of Alice. How far is Ellen from Alice? If necessary, round to the nearest tenth.
Answer:
Ellen is 8 Ft. and 5 In. away from Alice .
Step-by-step explanation:
By connecting the people like dots , you'd create a right triangle . The distance between Ellen and Alice would be the slant height .
To find the slant height , you could use the formula stated below .
Formula: A^2 + B^2 = C^2 .
A and B represent the distance between Porter between Ellen , as well as the distance between Porter and Alice . C represents the slant height , or how far Ellen is from Alice .
Substitute the variables with the given information and solve .
Substitution: 8^2 + 3^2 = 73 .
Simplify the final value by finding the square root of it .
√73 = 8.54400374532
As stated in the question , you should round the final value to the nearest tenth if necessary .
8.54400374532 ( Rounded ( Tenth ) = 8.5 Ft.
The rounded value would be 8.5 feet .
A circular plate has circumference of 26.4 inches. What is the area of this plate? Use 3.14 for pi.
Answer:
55
Step-by-step explanation:
i did the test and got 55. the actual answer is 55.49, but you have to round.
Please help !! If you help i’ll give 5 stars
Answer:
Imaginary
Step-by-step explanation: