Using an exponential function, it is found that it's annual growth rate is of 4%.
What is an exponential function?An increasing 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 growth rate, as a decimal.In this problem, the card appreciates exponentially in value by 50% over 10 years, hence:
A(10) = 1.5A(0).
Thus:
[tex]A(t) = A(0)(1 + r)^t[/tex]
[tex]1.5A(0) = A(0)(1 + r)^{10}[/tex]
[tex](1 + r)^{10} = 1.5[/tex]
[tex]\sqrt[10]{(1 + r)^{10}} = \sqrt[10]{1.5}[/tex]
1 + r = 1.04.
r = 0.04.
0.04 x 100% = 4%.
It's annual growth rate is of 4%.
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I am thinking of two numbers whose difference is 32. Twice the smaller number is 12 more than the larger number. What are my numbers?
can anyone solve this?
Answer:
The answer is 14/50
Step-by-step explanation:
sin=opp/hyp
sin=14/50
26. The length of ABC is 110 ft. What is the radius
of circle D? Round to the nearest tenth.
Answer:
The radius of the circle is 20.6
amount if you decrese 35 by 20%
Answer:
26.25
Step-by-step explanation:
So if you want to remove 25% from 35 you have to multiply the two you get 8.75 then minus that from 35 you get 26.25
For the function y = x -2, make a table of ordered pairs and graph the function on a coordinate plane.
Answer:
Step-by-step explanation:
Start by plugging in the x values -2, -1, 0, 1, and 2 into the equation to receive the y values.
For example, the first point on the table would be y=(-2)-2, or (-2, -4). Continue plugging in the points for all the points on the table
The table of ordered pairs gives an exponential function.
Write an equation for the function. NEED ASAP!!!
Answer:
12+34+67+12
Step-by-step explanation:
im in 12th grade with straight as trust me
check if 5/11 and 7/6 are rational numbers.
Answer:
they are rational numbers
Step-by-step explanation:
Any fraction with integers in numerator and denominator is a rational number.
__
5, 6, 7, 11 are integers, so the fractions 5/11 and 7/6 are rational numbers.
There are 12 boys and 15 girls in Mr. Fraioli’s math class. He will randomly call on one person to answer the problem of the day. What is the probability that he will choose a girl
n = 12 + 15 = 27
Probability of choosing girl,
p = 15/27
Probability of choosing boy,
q = 1 - 15/27 = 12/27
[tex]P(X = 1) = \binom{27}{1} { (\frac{15}{27}) }^{1} ( { \frac{12}{27} )}^{26} \\ = 1.045552364 \times {10}^{ - 8} [/tex]
The probability that he will choose a girl will be equal to 15/27.
What is the probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favourable outcomes / Number of sample
Given that there are 12 boys and 15 girls in Mr Fraioli’s math class. He will randomly call on one person to answer the problem of the day.
The probability that he will choose a girl,
n = 12 + 15 = 27
Probability of choosing a girl,
p = 15/27
Probability of choosing boy,
q = 1 - 15/27 = 12/27
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All the dimensions of a pentagon were multiplied by the same factor, and the area of the figure changed by a factor of 25. By what factor were the dimensions of the pentagon multiplied?
12. 5
625
5
50
Answer:
625
Step-by-step explanation:
I just did this question
Solve it
x / 5 + (x - 1) / 3 = 1/5
Hello ~
My name is Irxdscent, and I will be answering your question today! :D
[tex]\huge\pmb{\frak{\underline{Answer:}}}[/tex]
[tex]\sf{x = 1}[/tex]
[tex]\huge\pmb{\frak{\underline{Explanation:}}}[/tex]
[tex]\sf{\frac{x}{5} \: + \: \frac{(x \: - \: 1)}{3} = \frac{1}{5}[/tex]
[tex]\sf{\frac{x}{5} \: + \: \frac{x \: - \: 1}{3} = \frac{1}{5}[/tex]
Find The Least Common Multipler of [tex]\bold{^5^,^3^: \: ^1^5}[/tex]Multiply by LCM = [tex]\bold{15}[/tex]
[tex]\sf{\frac{x}{5} \: . \: 15 \: + \frac{x \: - \: 1}{3} \: . \: 15 = \frac{1}{5} \: . \: 15}[/tex]
Simplify :[tex]\sf{3x \: + \: 5(x \: - \: 1) = 3[/tex]
Expand [tex]\sf{^5^(^x \: ^- \: ^1^)^: \: ^5^x \: ^- \: ^5}[/tex][tex]\sf{3x \: + \: 5x \: - \: 5 = 3}[/tex]
Add similar elements: [tex]\sf{^3^x \: ^+ \: ^5^x \: ^= \: ^8}[/tex][tex]\sf{8x \: - \: 5 \: + \: 5 \: = 3 \: + \: 5}[/tex]
Simplify :[tex]\sf{8x \: = \: 8[/tex]
Divide both sides by [tex]\bold{8}[/tex][tex]\sf{\frac{8x}{8} = \frac{8}{8}[/tex]
Simplify :[tex]\sf{x = 1}[/tex]
Hope It Helps! ~
~ Learn With Lrxdscent ~
[tex]\underline{Answer :}[/tex]
ɪ ʀ x ᴅ ꜱ ᴄ ᴇ ɴ ᴛ
Answer:
x = 1Step-by-step explanation:
In the question we have given an equation that is x / 5 + ( x - 1 ) / 3 = 1 / 5 . And we are asking to solve the equation that means we have to find the value of x.
Solution : -
[tex] \longmapsto \qquad \dfrac{x}{5} + \dfrac{(x - 1)}{3} = \dfrac{1}{5} [/tex]
Step 1 : Bye taking L.C.M solving left side :
[tex] \longmapsto \qquad \dfrac{3x + 5(x - 1)}{15} = \dfrac{1}{5} [/tex]
On further calculations, We get :
[tex] \longmapsto \qquad \dfrac{3x + 5x - 5}{15} = \dfrac{1}{5} [/tex]
[tex] \longmapsto \qquad \dfrac{8x - 5}{15} = \dfrac{1}{5} [/tex]
Step 2 : Multiplying 15 on both sides :
[tex] \longmapsto \qquad \dfrac{8x - 5}{ \cancel{15}} \times \cancel{15 } = \dfrac{1}{ \cancel{5}} \times \cancel{15}[/tex]
On further calculations, We get :
[tex] \longmapsto \qquad 8x - 5 = 3[/tex]
Step 3 : Adding 5 on both sides :
[tex] \longmapsto \qquad8x - \cancel{5} + \cancel{ 5} = 3 + 5[/tex]
On further calculations, We get :
[tex] \longmapsto \qquad8x = 8[/tex]
Step 4 : Dividing with 8 on both sides :
[tex] \longmapsto \qquad \dfrac{ \cancel{8}x}{ \cancel{8}} = \cancel{\dfrac{8}{8} }[/tex]
On further calculations, We get :
[tex] \longmapsto \qquad \blue{\underline{\blue{\boxed{ \frak{x = 1}}}}}[/tex]
Henceforth, value of x is 1 .Verifying : -
We are verifying our answer by substituting value of x in the given equation . So ,
x / 5 + ( x - 1 ) / 3 = 1 / 51 / 5 + (1 - 1 ) / 3 = 1 / 51 / 5 + 0 / 3 = 1 / 5 (0 / 3 is equal to 0) 1 / 5 + 0 = 1 / 51 / 5 = 1 / 5 L.H.S = R.H.SHence , Verified .Therefore, our solution is correct .
#Keep LearningWhich of the following is a net of a triangular prism? A) Figure A B) Figure B C) Figure C D) None of these
Step-by-step explanation:
Figure A is the triangular prism
The function H(n) describes the total amount of money a movie theater receives for n ticket sold.
which domain is appropriate for this function.
all integers
all real numbers
all positive integers and zero
or
all positive real numbers and zero
The domain which is appropriate for the function, H(n) is; all positive integers and zero.
Domain of functionsFrom the task content;
We are required to identify the domain which is most appropriate for the function.On this note, we are required to determine the possible values for the number of tickets bought, n.
Ultimately, since tickets are whole, it follows that the appropriate domain for this function is; all positive integers and zero.
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help i need help and this is due soon
Answer:
8π or 35.133 (3 d.p.)
Step-by-step explanation:
Volume of cone is [tex]V=\pi r^{2}\frac{h}{3}[/tex], where V is the volume, r is the radius, and h is the vertical heightSubstitute in the values[tex]V=\pi\times 2^{2}\times\frac{3}{3}[/tex][tex]V=4\pi\times 1[/tex][tex]V=4\pi[/tex]There are 2 cones, so times by 2This gives 8πAnja divides (8x3 – 36x2 54x – 27) by (2x – 3) as shown below. what error does anja make? 2 x minus 3startlongdivisionsymbol 8 x cubed minus 36 x squared 54 x minus 27 endlongdivisionsymbol. minus 8 x cubed minus 12 x squared to get a remainder of negative 24 x squared 54 x. minus 24 x squared 36 x to get a remainder of 18 x minus 27. minus 18 x 27 to get a remainder of 0 and a quotient of 4 x squared minus 12 x 9 she makes a subtraction error. she makes an error choosing the x-term in the quotient. she makes a multiplication error. she makes an error rewriting the problem in long division.
Anja divides (8x3 – 36x2 54x – 27) by (2x – 3) in this process she makes a multiplication error.
We have given,
Anja divides (8x3 – 36x2 54x – 27) by (2x – 3)
2 x minus 3start long division symbol 8 x cubed minus 36 x squared 54 x minus 27 end long division symbol.
What is the division of polynomials?
To divide each term in the polynomial by the monomial, and then write each quotient in the lowest terms.
minus 8 x cubed minus, 12 x squared to get a remainder of negative 24 x squared 54 x.
minus 24 x squared 36 x to get a remainder of 18 x minus 27.
minus 18 x 27 to get a remainder of 0 and a quotient of 4 x squared minus 12 x 9.
Therefore we can conclude that she makes a multiplication error.
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The Anja makes multiplication error, she writes 18x + 27 instead of 18x - 27 option third is correct.
What is polynomial?Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.
We have dividend polynomial:
[tex]\rm 8x^3 -36x^2+54x-27[/tex]
Divisor polynomial:
[tex]\rm 2x-3[/tex]
If divide [tex]\rm 8x^3 -36x^2+54x-27[/tex] by [tex]\rm 2x-3[/tex] we will get, quotient polynomial[tex]\rm 4x^2-12x+9[/tex], and remainder is zero but in the process of Anja's divide she did multiplication error as:
9(2x - 3) ⇒ 18x + 27
She put positive sign instead of negative.
The correct way of multiplication is as follows:
9(2x - 3) ⇒ 18x - 27
Thus, the Anja makes multiplication error, she writes 18x + 27 instead of 18x - 27 option third is correct.
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PLEASE HELP I WILL GIVE YOU 5 STARS
Answer:
3/4 lbs.
Step-by-step explanation:
In order to find how much more the heavier boxes weigh than the lighter boxes, we have to subtract the lighter box weight from the largest box weight.
Lighter box weight = 4 1/2
Heavier box weight = 5 1/4
Now we can find their difference:
The heavier box weight - lighter box weight = 5 1/4 - 4 1/2 = 21/4 - 9/2 = 21/4 - 18/4 = 3/4.
The heavier boxes weigh 3/4 lbs. more than the lighter boxes.
Answer:
3/4 lbs
Step-by-step explanation:
The heavier box weight - lighter box weight = 5 1/4 - 4 1/2 = 21/4 - 9/2 = 21/4 - 18/4 = 3/4.
The difference is:
The heavier boxes weigh 3/4 lbs. more than the lighter boxes.
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Determine the average rate of change in median age per year from 1930 to 1960
A. -0.5 years of age per year
B. 20 years of age per year
C. -0.05 years of age per year
D. +0.05 years of age per year
Answer:
It's C -0.05 years of age per year
Step-by-step explanation:
Omar thinks you should sell sundae cups and raspberry ripple cones. He recommends that the costs to you for frozen treats be no more than $450. Based on Omar's recommendation, enter an inequality that represents the
number of sundae cups, x, and the number of raspberry ripple cones, y, that will cost you no more than $450.
Considering that a sundae cone costs $5 and a raspberry ripple cone $7, the inequality is:
[tex]5x + 7y \leq 450[/tex]
What is the inequality that models this situation?The total price can be no more than $450, hence:
[tex]T \leq 450[/tex]
To find the total price, we need the price of each a sundae cone and a raspberry ripple cone, which are not given. Hence, considering that a sundae cone costs $5 and a raspberry ripple cone $7, the total price is given by:
T = 5x + 7y
Hence, the inequality is:
[tex]5x + 7y \leq 450[/tex]
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12 and a 1/2 % of a day is how many hours
Answer:
3 hours
Step-by-step explanation:
12.5% of a day will be equal to :
12.5% of 24
10% is 2.4 hours
2.5% is 0.6 hours
adding these up gives us 3 hours.
Hope this helps and Brainliest please
everday at 9:15 am jessie takes his for a walk for 30 min he takes the next 2 hours to work on his computer before he eats lunch what time does he eat lunch
Answer:
11:45 AM
Step-by-step explanation:
9:15 +30 mins is 9:45
9:45 +2 hours is 11:45
Hope this helps!
I am less than my half and greater than my double. The sum of me and my square is zero.
Who
am I?
Answer: -1
Step-by-step explanation:
[tex]\frac{-1}{2}[/tex] is greater than -1 as it is closer to 0
[tex](2)-1=-2[/tex]
-1 is greater than -2 as -1 is closer to 0
[tex]-1+(-1)^2\\-1+1\\0[/tex]
The sum of -1 and its square is 0
y = 3x + 1, -x + 2y = -3
Answer:
X= -1 y= -2
Step-by-step explanation:
y= 3x+1
y-1 =3x
X= y-1/3...(1)
-x+2y= -3
-(x-2y)= -3
x-2y=3
(y-1/3)-2y =3 (from eq (1))
y-1-6y =3×3
-5y= 10
y= -2
X= y-1/3
= -2-1/3
x = -1
Solve the linear equation
Please send the work as well
2/5x + 25= 4/5x + 30
Answer:
x = 12 1/2
Step-by-step explanation:
Combine like terms, as follows: 25 - 30 = (4/5)x - (2/5)x, or
5 = (2/5)x
Multiplying both sides by (5/2) 'solves' this equation for x:
(5/2)(5) = (5/2)(2/5)x => (25/2) = x
Then x =25/2 or x = 12.5 or x = 12 1/2
What is the value of x?
Enter your answer in the box.
x =
17.3
52÷3=17.3
if i am mistaken
Those are vertical angles which are equal to each other:
2x + 2 = 3x - 52
Add 52 to both sides:
2x + 54 = 3x
Subtract 2x from both sides:
54 = x
Rewrite as x = 54
If humans lost the ability to see all color except one, which color would you want to survive?
Answer:
The color blue. There’s many shades of blue and plus blue is my favorite color. I’ll be able to tell if I’m drinking water or not.
A right cylinder with a diameter of 8 ft and a height of 15 ft. Help!!
Given :-
Diameter = 8ft , radius = 4ft.Height = 15ftWe can find Total Surface Area , Lateral Surface Area and Volume of Cylinder by given values.
Volume of Cylinder = πr²h
putting the known values ,Volume = 3.14×4²×15 cubic feet
Volume = 753.6 cubic feet
Total Surface Area of Cylinder = 2πr(r+h)
TSA = 2×3.14×4(4+15) square feet
TSA = 477.28 square feet
Lateral Surface Area Of Cylinder = 2πrh
CSA = 2×3.14×4×15
CSA = 376.8 square feet
How many 30 degrees angles fit in a right angle?
Answer:
3
Step-by-step explanation:
A right angle is 90 degrees. 90/30=3
6 is the answer. hope this helpsssss
Earl made a 1/2 pan of brownies using 2/3 cup of sugar How much sugar will it take for a whole pan of brownie
Answer:
It will take 4/3 cup of sugar or 1 and 1/3 cup of sugar
Step-by-step explanation:
1/2 + 1/2= 1
2/3 + 2/3=4/3 or 1 and 1/3
hope this helps:)
On Tuesday 27% of the customers who bought gas at a gas station made additional purchases. There were 300 customers who bought gas. How many of these 300 customers made additional purchases?
Answer:
81
Step-by-step explanation:
how to calculate procentage:
300(total) x 27(procentage) : 100 = 81
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Which of the following is least likely to be a warning sign that one's debt is at a critical point? a. all credit cards are at their limits b. having several credit cards c. making only minmum payments on credit cards d. using cash advances to pay bills please select the best answer from the choices provided. a b c d
The option which is least likely to be a warning sign that one's debt is at a critical point is having several credit cards.
What is a warning sign for credit cards?The most likely warning sign for credit cards is not paying or clearing the debt of the credit card in full each month.
The options given in the problem are,
a. All credit cards are at their limits. b. Having several credit cards. c. Making only minimum payments on credit cards. d. Using cash advances to pay bills.In these options, least likely to be a warning sign is having several credit cards as having multiple cards and well management of them required the carefulness and awareness.
Thus, the option which is least likely to be a warning sign that one's debt is at a critical point is having several credit cards.
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What are three ratios that are equivalent to 16:12.
Answer:
4:3 = 8:6 = 12:9 = 16:12 = 20:15 = 24:18 = 28:21 = 32:24 = 36:27 = 40:30
Step-by-step explanation:
Answer:
8:4, 32:24, 48:36
Step-by-step explanation:
16 ÷3=8
12÷3=4
↓
8:4
----------------------
16 ×2=32
12×2=24
↓
32:24
-----------------------
16×3=48
12×3=36
↓
48:36
Hope this helps! Have a good day! : )