Answer:
y = 10(1.01)^60
Step-by-step explanation:
The general equation of exponential growth is
y = ab^x
b has to do with the rate of growth.
b = 1 + r, so in this case, b = 1 + 1% = 1 + 0.01 = 1.01.
Now we have
y = a(1.01)^x
a is the initial value, so now we have
y = 10000(1.01)^x
where y is the number of books after x months
Since you need the number of books after 5 years, we must convert 5 years into months.
5 years * (12 months)/year = 60 months
The problem wants the expression in thousands of books, so we divide the initial value by 1000.
Answer: y = 10(1.01)^60
Expression representing the number of books after 5 years,
[tex]A(60)=10000(1.01)^{60}[/tex]
Exponential growth: Exponential growth function is given by,[tex]A(t)=A_0(1+r)^t[/tex]
Here, [tex]A(t)=[/tex] Final amount
[tex]A_0=[/tex] Initial amount
[tex]r=[/tex] Growth rate
[tex]t=[/tex] Duration or time
Given in the question,
Initial number of books = 10000 Growth rate = 1% Duration = 5 years ≈ 60 monthsSubstitute these values in the expression,
[tex]A(t)=A_0(1+r)^t[/tex]
[tex]A(60)=10000(1+0.01)^{60}[/tex]
Therefore, expression representing the number of books after 5 years will be → [tex]A(60)=10000(1.01)^{60}[/tex]
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Determine the value of the account if the initial investment is $150 compounded daily at a rate of
5% after 20 years.
Answer:
Step-by-step explanation:500
The diagram below shows a circular pizza with a diameter of 12 inches. The pizza is in a square box with side lengths of 14 inches. In square inches, how much of the box is empty?
Use π = 3.14 and round your answer to the nearest hundredth.
Answer:
Step-by-step explanation:
Area of box = 14^2 = 196 in^2
Radius r of pizza = 12/2 = 6
Area of pizza = πr² = 36π ≈ 113.04 in^2
Answer:
82.96
Step-by-step explanation:
Which of these statements is true for f(x)=(1/10)^x
A. The domain of f(x) is x > 0.
B. The graph contains (1)
C. It is always increasing.
D. The range of f(x) is y
Answer:it’s B trust me
Step-by-step explanation:
Statemen B is true about the given function.
What is the function?A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.
A. The domain of f(x) is x > 0 is true for the function [tex]f(x) = (1/10)^x[/tex] because any positive real number can be raised to any real power, so the domain of this function is all real numbers greater than zero.
B. The statement "The graph contains (1)" is not clear. If it means whether the point (1, f(1)) lies on the graph, then we can find that [tex]f(1) = (1/10)^1 = 1/10[/tex], so the point (1, 1/10) lies on the graph. Therefore, the statement is true.
C. The function [tex]f(x) = (1/10)^x[/tex] is always decreasing because as x increases, [tex]f(x) = (1/10)^x[/tex] becomes smaller and smaller, approaching zero as x approaches infinity.
D. The range of f(x) is y < 1 because as x increases, [tex](1/10)^x[/tex] becomes smaller and smaller, approaching zero but never equaling one. So, the range of the function is all real numbers less than one, but not including one itself.
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Give a decimal approximation of your answer to the second question using 3.14 to approximate pie. Answer for the second question: 112n cm^3. Answer choices: A. 154.68cm^3, B. 252.68cm^3, C. 351.68cm^3, D. 421.68cm^3
Answer:
C.
Step-by-step explanation:
It's 112 * 3.14
= 351.68 cm^3.
Pleasee helppp answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answer:
Hindi ko pa po alam solve nyan grade six palang po ako my apologies
Answer:
z = 40°
y = 40°
x = 121°
Step-by-step explanation:
121 + 19 = 140
180 - 140 = 40
z = 40
y = 40
x = 121
40 + 19 = 59
180 - 59 = 121
Of the second grade students at Hirsch Elementary, 16/20 like stuffed animals. Of the students who like stuffed animals, 4/12 prefer shaggy ones. What fraction of second grade students like shaggy stuffed animals?
Answer:
4 / 15
Step-by-step explanation:
Fraction that likes stuffed animal = 16/20
4/12 of fraction who like stuffed animals prefer shaggy ones ;
Fraction of second grade that like stuffed shaggy animals ;
4/ 12 of 16/20
(4 /12) * (16 / 20)
(4 * 16) / (12 * 20)
= 64 / 240
= 4 / 15
Ben bought 19 first class stamps at $0.39 each and 8 postcard stamps at $0.24 each. How much money did Ben spend?
Answer:
Ben spent $9.32 on stamps total
Step-by-step explanation:
19x0.39= 7.41 because it says he bought 19 of these and they each cost $0.39 so you just multiply the two
8x0.24= 1.92 because of the same reason for the other it says he bought 8 of these and each costs $0.24 so you just multiply the two which gets you 1.92
next you add together the two totals of the stamps which is 7.41 and 1.92
7.41+1.92= 9.32
Linda made $270 for 18 hours of work.
At the same rate, how much would she make for 7 hours of work?
$
Answer:
105
Step-by-step explanation:
so you divide 270 by 18 hours to get 15 , so she gets paid £15 every hour
you times 15 by 7 = 105
Answer:
Linda would make $105 for 7 hours of work, she made the same amout of money per hour.
Step-by-step explanation:
270/18=15
15 x 7= 105
A certain translation takes point D(-3,10) to point D'(-12,21).
What is the image of E(17,-9) under this translation?
Answer:
(8, 2)
Step-by-step explanation:
Subtract the two D points.
(-12) - (-3) = -9
21 - 10 = 11
Then, use it to translate.
(17,-9)
(x - 9, y + 11)
= (8, 2)
The image of E(17,-9) under the translation will be (8,2)
Concept:The D and D' points are given First we will subtract D' from D and we will get X pointsTo find translation of of point E we will add X to E pointHow to solve this problem?The steps are as follow:
GivenD(-3,10)
D'(-12,21)
To find X we will subtract D' from DD'-D = (-12+3,21-10)
X(-9,11)
To find translation of E point we will add X points in EE' = (17-9,-9+11)
E' = (8,2)
Therefore the image of E(17,-9) under the translation will be (8,2)
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Pleasee helpp answer correctly !!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answer:
x = 116º
Step-by-step explanation:
the sum of angles on the same side equals 180º so:
x + 64º = 180º subtract 64º from both sides
x = 116º
Answer: 116º
Step-by-step explanation:
Hello I have two questions for my math homework.
The first question is the attachment-
The second questions is- Mr. Candelaria estimates that the drama club sold 400 tickets to the school play. The drama club actually sold 462 tickets. Calculate Mr. Candelaria’s percent error.
TY!!!!
Answer:
Answers are listed :)
Step-by-step explanation:
1. -81/2 or -40.5
Both answers are correct forms I just didn't know if you wanted fraction or decimal form :)
2. Lots of answers for this one but ill give you mine: Mr. Candeleria probably rounded down his estimate number and in most cases like this you should round up.
Hope this helps :)
The solution is
a) The value of the equation is -40.5 or -81/2
b) Percentage error of Mr.Candelaria in estimating the tickets is 13.42 %
What is Percentage Error?
The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.
Percentage error is the difference between the measured value and the true value , as a percentage of the true value
Percentage Error = [ ( | Measured Value - True Value | ) / True Value ]x 100
Given data ,
a)
Let the equation be represented as A
Now , the value of A is
A = ( 3 4/5 )x - ( 2 1/2 )
On simplifying the equation , we get
A = ( 19/5 )x - ( 5/2 )
when x = -10 , substitute the value of x = -10 , we get
A = ( 19 × -2 ) - 5/2
A = -38 - 5/2
A = -81/2
A = -40.5
Therefore , the value of A is -40.5
B)
The measured value = 400 tickets
The true value = 462 tickets
Now , the percentage error in estimating the tickets by Mr. Candelaria is given by the formula ,
Percentage Error = [ ( | Measured Value - True Value | ) / True Value ]x 100
Substituting the values in the equation , we get
Percentage Error = [ | 400 - 462 | / 462 ] x 100
Percentage Error = [ | -62 | / 462 ] x 100
Percentage Error = 0.134199 x 100
Percentage Error = 13.419 %
Therefore , the percentage error is 13.42 %
Hence , the percentage error of Mr.Candelaria in estimating the tickets is 13.42 %
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Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
The asymptote of the function f(x) = 3^x + 4 is y=
Answer:
your answer is 4
Step-by-step explanation:
3.102 x 10^3 in standard form
Answer:
3102x
Step-by-step explanation:
BRAINLY DON'T FAIL ME STOP SCROLLING AND ANSWER ME THIS IS THE LAST QUESTION ON A TEST I HAVE BEEN TAKING FOR 12 STRAIGHT HOURS PLZ TAKE THE TIME TO HELP ME PLEASE PLEASE
Answer:
Third option
Step-by-step explanation:
All the other ones have a certain proportion
Solve for the variable: 15/2.1 = 12/c
Answer:
answer is C=1.68
im sorry if im incorrect
mark as brainliest if i helped you :)
Step-by-step explanation:
3x + 6y = 24 solve for x
Answer:
x=8 y=4
Step-by-step explanation:
Im assuming that you are learning standard form and to solve for a variable you set the other value to 0.
3x+6(0)=24
3x=24
divide by 3
x=8
Answer:
I love algebra anyways
the ans is x=8−2y its in the picture and so is the steps
(hope that helped can i plz have brainlist it will make my day :D hehe)
Step-by-step explanation:
5(y+2/5)=-13
what is y
Answer:
y=-3
Step-by-step explanation:
please need help asap
Answer:
90
Step-by-step explanation:
Answer:
i dont know..
Step-by-step explanation:
Which 01 the following options best describes the zeros of the quadratic function above?
0) Imaginary zeros
() 2 real zeros
1 real zero and 1 Imaginary zero
f 1 real zero
Answer:
Option (1)
Step-by-step explanation:
Vertex form of the quadratic equation is given by,
y = (x - h)² + k
Where (h, k) is the vertex.
From the graph attached,
Vertex of the parabola is (0, 4).
Therefore, equation of the parabola will be,
y = (x - 0)² + 4
y = x² + 4
Function representing the parabola will be,
f(x) = x² + 4
For the zeros of the quadratic function we find the value of x where f(x) = 0.
x² + 4 = 0
x² = -4
x = ±√(-4)
Since, square root of a negative number is not defined, zeros of the function will be imaginary.
Therefore, both the zeros will be imaginary.
It's clear from the graph, there are no x intercepts of the function Or zeros are imaginary.
Option (1) will be the answer.
1.-18(12)
2. -352 + -225
Answer:
1.-204.5 2.-557
Step-by-step explanation:
125 < 28 + 72 + 6x < 200
Answer:
The answer is 25/6 < x < 50/3
Step-by-step explanation:
Move all terms not containing x from the center section of the inequality.
hoped this helped!
Brainly, please?
Lacey deposited $4,860 in a new credit union savings account on the first day of the quarter. The principal earns 4% interest compounded quarterly for 6 months.(a) the amount
Answer:
$4956.23 approx
Step-by-step explanation:
Given data
P= $4860
R= 4%
T= 6 months = 0.5 years
Applying the compound interest formula we have
A=P(1+r)^t
Substitute
A=4860(1+0.04)^0.5
A= 4860(1.04)^0.5
A=4860*1.0198
A=4956.228
Hence the balance will be $4956.23 approx
2a)Please choose how the triangles in part 1 above are similar.
1)SAS
2)SSS
3)ASA
4)AA
Answer:
1) SAS
2) AA
3) SSS
Step-by-step explanation:
Writing the quadratic equation in standard form is typically the last step to take in graphing quadratic equations?
Yes or no?
Answer:
No
Step-by-step explanation:
Writing the quadratic equation is usually the first step to take in graphing quadratic equations. Afterward you define the variables in the equation.
Question 2 - Find the nth term of the following
a) 10, 7, 4, 1
b 6, 4, 2,0
c) 9,4 -1,-6
d) 2.5, 2. 1.5, 1
Please help me quick
Answer:
nth term = 10 + (n - 1)-3
Step-by-step explanation:
a) 10, 7, 4, 1
First term,a = 10
Common difference,d = 7 - 10 = -3
nth term = a + (n - 1)d
nth term = 10 + (n - 1)-3
b 6, 4, 2,0
First term,a = 6
Common difference,d = 4 - 6 = -2
nth term = a + (n - 1)d
nth term = 6 + (n - 1)-2
c) 9,4 -1,-6
First term,a = 9
Common difference,d = 4 - 9 = -5
nth term = a + (n - 1)d
nth term = 9 + (n - 1)-5
d) 2.5, 2. 1.5, 1
First term,a = 2.5
Common difference,d = 2 - 2.5 = -0.5
nth term = a + (n - 1)d
nth term = 2.5 + (n - 1)-0.5
Can someone help me thank you.
Answer:
7 groups of 9 and one group of 4 (total of 8 groups)
Step-by-step explanation:
Answer:
7 full groups, small group 4, total groups together 8
Simplify the expression by combining like terms.
-7p+15-2q +11q-2p-3
Answer:
12+9q−9p
Step-by-step explanation:
−7p+15−2q+11q−2p−3
Combine −2q and 11q to get 9q.
−7p+15+9q−2p−3
Combine −7p and −2p to get −9p.
−9p+15+9q−3
Subtract 3 from 15 to get 12.
−9p+12+9q
Answer: −9p+9q+12
Step-by-step explanation:
the contstants of the p and q variable will add up to 9 and the number will add to 12
I need help with this please! 20 points!
How far did Andrew drive?
1. 8 miles
2. 10 miles
3. 288 miles
4. 298 miles
Answer:
So the answer is 8
Step-by-step explanation:
48 divided by 2 24
------- ---------
6 divided by 2 3
24 divided by 3 is 8 your welcome. just thank me
7(y + 6) = 21x + 14
Is this true or false?
Step-by-step explanation:
no false because can't be y and x in the same question
Answer:
No
Step-by-step explanation:
Because 7(y+6) = 7y + 42, not 7x + 42.
Find a and d for the function f(x) = a cos(x) + d such that the graph of f matches the figure.
a=
d=
Answer:
Step-by-step explanation:
f(x)=-5cos(x)-5
a=-5
d=-5