Answer:
20 years
Step-by-step explanation:
Using the formula; A = P(1 + r)^t
We can plug in the known to find t
400 = 220(1.03)^t
then solve for t;
1.818 = 1.03^t
Introducing In
In 1.818 = t × In (1.03)
t = 20.225
t = 20 years to the nearest year
Answer:
20 years
Step-by-step explanation:
Plato
A line has a slope of a and has a y intercept of (0,b).Which equation represents this libe
Answer:
y = ax + bStep-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept → (0, b)
We have the slope m = a, and the y-intercept b.
Substitute:
y = ax + b
Juan and Rob are selling cookie dough for a school fundraiser . Juan has t cookie dough orders , and Rob has 40 cookie dough orders . They have a total of 75 cookie dough orders all together . Write a equation to describe this situation . How many cookie dough orders does Juan have?
Answer:
Juan has 35(t) cookie dough orders.
Step-by-step explanation:
75(Overall) - 40(Rob's) = 35(Juan's)
Hope this helps you. :)
Answer:
t+ 40 = 75; t = 35
Step-by-step explanation:
t + 40 = 75
Subtract 40 from each side.
t = 35
Juan has 35 cookie dough orders.
Solve these equations. Show solutions on a number line.
|x+8|=x+8
Answer:
-8 < x < inf
[-8 , inf )
Step-by-step explanation:
set up a +/- |x + 8| = x + 8
the setup a number line and use test points
Answer:
x > -8
Step-by-step explanation:
ummmmmm so its not negative lol
At the fair the ratio of male to females was 4:5. If there are 160 males at the fair, how many females are there? Show work.
2. Simplify 2(54−1)3 completely. Show as much work as possible for full credit.
[tex](2 \times 54 - 2)3 = 108 - 2 \times 3 = 106 \times 3 = 318[/tex]
Answer:
[tex]\boxed{\bold{318}}[/tex]
Step By Step Explanation:
Calculate Within Parenthesis: [tex]\bold{(54-1)}[/tex]
[tex]\bold{53}[/tex]
Rewrite Equation
[tex]\bold{2\cdot \:53\cdot \:3}[/tex]
Multiply: [tex]\bold{2\cdot \:53\cdot \:3}[/tex]
[tex]\bold{318}[/tex]
➤ [tex]\boxed{\bold{Mordancy}}[/tex]
Solve for x: 27/x +29=38
Answer:
x=3
Step-by-step explanation:
27/x +29=38
Multiply all terms by x and cancel:
27+29x=38x
29x+27=38x(Simplify both sides of the equation)
29x+27−38x=38x−38x(Subtract 38x from both sides)
−9x+27=0
−9x+27−27=0−27(Subtract 27 from both sides)
−9x=−27
−9x
−9
=
−27
−9
(Divide both sides by -9)
x=3
To solve for x, subtract 29 from both sides, multiply both sides by x, then divide both sides by 9 to get x = 3.
Explanation:To solve for x in the equation 27/x + 29 = 38, you first want to isolate the term with x. We can do that by subtracting 29 from both sides to get: 27/x = 38 - 29, simplified to 27/x = 9.
Next you want to get rid of the x in the denominator, which implies multiplication. You can multiply both sides of the equation by x, which will give: 27 = 9x.
To finally solve for x, divide both sides by 9 to get x = 27/9, so, x = 3.
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calculate the shaded area
Answer:
116cm^2
Step-by-step explanation:
This problem is just a matter of finding the area of the large and the small circle. To find the area of the large circle, you will use the equation: A = pi*r^2 in the following manner:
A = pi*r^2
A = pi*6.5^2
A = pi*42.3
A = 133
Next, you need to subtract the smaller circle from the area to only have the shaded area. Do this like the following:
A = pi*r^2
A = pi*2.3^2
A = pi*5.29
A = 16.6
Lastly, you just need to subtract! Do this like the following:
A = 133 - 16.6 = 116.4cm^2 = 116cm^2
The area of shaded area is 116.14 cm²
Step-by-step explanation:The area of circle is given by
A=πr²Wee have 2 radii
Lets find for the radius 2.3
A = π * 2.3²
A = 16.61
Now lets find for the radius 6.5
A = π * 6.5²
A = 132.73
Now
The shaded area is 132.75 - 16.61
Shaded area = 116.14
Plz help me I’m very confused plz explain I really need help
Since she has the most heads come up, making her chances to be best of getting heads.
-----------------------------------------------------------------------------------------------
Answer for problem 8 is D) JessicaDivide each of the four values (102, 164, 75, 139) by 250 to get
102/250 = 0.408
164/250 = 0.656
75/250 = 0.300
139/250 = 0.556
We see that Jessica's empirical probability of 0.556 is closest to that of 1/2 = 0.500 which is the theoretical probability of getting heads.
La réponse au problème 7
est B) Kelly
La réponse au problème 8
est D) Jessica
102/250 = 0,408
164/250 = 0,656
75/250 = 0,300
139/250 = 0,556
Nous voyons que la probabilité empirique de Jessica de 0,556 est la plus proche de celle de 1/2 = 0,500 qui est la probabilité théorique d'obtenir des têtes.
Find all real zeros of the function y=-5x-7
Answer:
x=1 2/5
Step-by-step explanation:
Replace y with 0 and solve for x.
Answer: The required zero of the given function is x = -1.4.
Step-by-step explanation: We are given to find all the real zeroes of the following function :
[tex]y=-5x-7~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
Since the given function is linear, so it will have only one real zero.
Also, the zeroes of a function y = f(x) is given by f(x) = 0.
So, the zero of the given function (i) is
[tex]y=0\\\\\Rightarrow -5x-7=0\\\\\Rightarrow 5x=-7\\\\\Rightarrow x=-\dfrac{7}{5}\\\\\Rightarrow x=-1.4.[/tex]
Thus, the required zero of the given function is x = -1.4.
How many students participated in the survey
50 people answered the survey.
70p divided by p squared
plz solve ASAP
solve the equation
-3(y-5)=24
y=?
Answer:
3
Step-by-step explanation:
Answer:
y=3
Step-by-step explanation:
-5 - 3 = -7
-8 * -3 = 24
bc a (-) plus a (-) equals a (+)
The table shows the daily temperatures for a city. What is the mean absolute deviation for this data?
A) 5.2
B) 6.1
C) 55
D) 57
Where is the picture
And I think the answer is 6.1
Answer:
A.) 5.2 is the deviation
Step-by-step explanation:
Allow me to explain!
The mean of the data is found by adding the four temperatures (5.2+6.1+55+57) and dividing by 4. This gives you 30.825. The number given that is furthest from this number is 5.2, making it your answer.
Which polynomial is a quintic binomial?
A: x^2+4x
B: 3x^5+2
C: x^4+2x^3-x^2+7x+11
D: 5x^2-2x+1
ANSWER :
Quintic binomial is a binomial having highest degree 5.So (B) 3x^5+2 is correct having highest degree .
Hope this helps
Thanks
Final answer:
The quintic binomial among the options given is B: 3[tex]x^5[/tex] + 2, as it has two terms and its highest degree is five.
Explanation:
The question asks to identify which polynomial is a quintic binomial.
A quintic polynomial is one where the highest degree of any term is five, and a binomial is a polynomial with exactly two terms.
Looking at the options provided, Option B: 3[tex]x^5[/tex] + 2 fits this description, as it has two terms and the highest degree is five.
What is the missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x? 1. The distributive property: 4x – 12 + 4 < 10 + 6x 2. Combine like terms: 4x – 8 < 10 + 6x 3. The addition property of inequality: 4x < 18 + 6x 4. The subtraction property of inequality: –2x < 18 5. The division property of inequality: ________ x < –9 x > –9 x < x > –
I couldn't understand the last part, I think they are just options
The last part should be x>-9
Hope it helps!
#MissionExam001
What is the radius of 8 cm. What is the radius, diameter,circumference
the radius is 8cm,the diameter is 16cm,and the circumference 50.27.
Answer:radius=8cm diameter=16cm
Circumference=16π
Step-by-step explanation:diameter= r•2 Circumference=2•π•r
I need help please????
The one you have highlighted is correct
the first one is the right one
Find the square inches
Answer:
The area of the figure is 16
Step-by-step explanation:
If you look closely there are four squares inside the figure so you get the area of one square and times it by four for the area of 16.
Answer:
16 in^2
Step-by-step explanation:
Think of the entire shape as a rectangle above and a square below. The rectangle's length and width are 6 inches and 2 inches. The side of the square is 2 inches.
area of rectangle: Ar = length * width
area of square: As = side^2
total area = Ar + As
total area = 6 in * 2 in + (2 in)^2
total area = 12 in^2 + 4 in^2
total area = 16 in^2
A bike shop charges x dollars to rent a bike for half a day.it charges (x+40)dollars to rent for a full day.the table shows the shops bike rentals for one day.on that day the shop made a total of $600from bike rentals.how much does it cost to rent a bike for a full day?
The cost of full-day bike rental cannot be calculated because the information about how many half and full day rentals exist was not provided. This is needed to create an equation using the given variable and total revenue.
Explanation:
The question is about finding the cost of a full day bike rental. From the problem, we know that the total revenue from the rentals was $600. However, as the necessary information about the number of half-day and full-day rentals for the given day is not provided, we cannot provide a specific price. Usually, if we know the number of half-day and full-day rentals, we can set up an equation to determine the cost of a full day rental, denoted as (x+40) in the problem.
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How do you find the area of 12ft and 20ft and 18ft
Answer:
106.65
Step-by-step explanation:
its the same formula as the area of a triangle.... smallest number as base
For which distributions is the median the best measure of center? Select each correct answer.
Answer with explanation:
Let me start answering this Question like this.
Why Median came into existence because Mean was not good enough to provide better solution to Statistical Data Set.
What, is Median.Median of a discrete data set ,is Middle value in the data set when arranged in ascending or descending order.Suppose you have to find whether wages of Employee in certain Organization is appropriate or not.You will use two measure of variation for that Purpose: 1. Mean 2.Median
Consider Bar graph of Data set 1
Variate in set builder form ={10,15,20,25,30,35,30,25,20,15,10}
When arranged in ascending order ={10,10,15,15,20,20,25,25,30,30,35}=11(Odd)
Mean
[tex]=\frac{235}{11}\\\\=21\frac{4}{11}[/tex]
Median =Mid value =20
Median - Smallest variate =20 -10=10
Largest Variate - Median =35-20=15
→→→Consider Bar Graph of Data set 2
Variate in set builder form ={22,18,20,26,30,28,20,9,9,5,4,3,3,2}
When arranged in ascending order ={2,3,3,4,5,9,9,18,20,20,22,26,28,30}=14(Even)
Mean
[tex]=\frac{199}{14}\\\\=14\frac{3}{14}[/tex]
Median
[tex]=\frac{9+18}{2}\\\\13.5[/tex]
Median - Smallest variate =13.5 - 2=11.5
Largest Variate - Median =30 -13.5=16.5
→→Consider Bar Graph of Data set 3
Variate in set builder form ={4,3,4,,4,5,5,5,4,5,5}
When arranged in ascending order ={3,4,4,4,4,5,5,5,5,5}=10(Even)
Mean
[tex]=\frac{44}{10}\\\\=4.4[/tex]
Median
[tex]=\frac{4+5}{2}\\\\4.5[/tex]
Median - Smallest variate =4.5 -3=1.5
Largest Variate - Median =5-4.5=0.5
Consider Bar graph of Data set 4
Variate in set builder form ={11,12,13,14,15,18,19,24,28,15,12,11}
When arranged in ascending order ={11,11,12,12,13,14,15,15,18,19,24,28}=12(even)
Mean
[tex]=\frac{192}{12}\\\\=16[/tex]
Median
[tex]=\frac{14+15}{2}\\\\14.5[/tex]
Median - Smallest variate =14.5 - 11=3.5
Largest Variate - Median =28 - 14.5=13.5
Drawing Box plot of four data set
Found that, for data set 3, median lies in the center.
Option 2 and Option 3
What is the sum of an infinite geometric series if the first term is 8 and the common ratio is 1⁄2?
A. 16
B. 8
C. 32
D. 4
Answer:
A
Step-by-step explanation:
The sum to infinity of a geometric series is
S (∞ ) = [tex]\frac{a}{1-r}[/tex] ( - 1 < r < 1 )
where a is the first term 8 and r is the common ratio, hence
S(∞ ) = [tex]\frac{8}{1-\frac{1}{2} }[/tex] = [tex]\frac{8}{\frac{1}{2} }[/tex] = 16
This sum of the infinite geometric series is 16 since the correct option is (A) 16.
Definition of infinite geometric series:The sum of infinite geometric sequences is called an infinite geometric series. There would be no final term in this series. The infinite geometric series has the general form a1+a1r+a1r2+a1r3+..., where a1 is the first term and r is the common ratio. The sum of all finite geometric series can be found.
How to find the sum of the series?In terms of the first term a1 and the common ratio r, the sum is...[tex]S =\frac {a_1}{(1-r)}[/tex]
We discover... by substituting the given numbers and performing the arithmetic...[tex]S = 8/(1 -1/2) = 16[/tex]
The total number of items in the series is 16.
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What is the product? 2y/y-3 multiplied by 4y-12/2y+6
The answer is 4y / y+3
Step-by-step explanation:See the attached figure
Answer:
D. 4y/y+3
thanks (:
How do you find the area of a circle if you already have the diameter
Answer:
If you have the diameter of a circle, you can use it to find the area of that circle. Just plug that value into the formula for the area of a circle and solve. Hope this helps. :)
Answer:
The area of a circle is Pi * Radius^2 or Pi * diameter.
So do 3.14 * the diameter.
if x/8 =5/4 then x=10 true false
Answer:
true
Step-by-step explanation:
given
[tex]\frac{x}{8}[/tex] = [tex]\frac{5}{4}[/tex] ( cross- multiply )
4x = 40 ( divide both sides by 4)
x = 10
Final answer:
The equation x/8 = 5/4 is solved by multiplying both sides by 8, resulting in the correct solution x = 10. Thus, the statement is indeed true.
Explanation:
To solve the equation x/8 = 5/4, we need to perform algebraic operations to solve for x. We multiply both sides of the equation by 8 to isolate x on one side, which gives us:
x = (5/4) × 8
Now, we simplify this further:
x = (5 × 2) = 10
Therefore, the statement 'if x/8 = 5/4 then x = 10' is true, since we have confirmed that multiplying 5/4 by 8 indeed equals 10. It is important to understand that multiplication and division are inverse operations, and we can solve for an unknown by isolating it on one side of the equation.
a 12 inches by 12 inches by 12 inches container of water was placed in the freezer.Water expands 4% when it is frozen.What is the volume of the container when it is frozen?
Solve for x: −3|x − 3| = −6
Answer:
x = 5 x = 1
Step-by-step explanation:
−3|x − 3| = −6
Divide each side by -3
−3/-3|x − 3| = −6/-3
|x − 3| = 2
An absolute value is equal to a positive and negative solution
x-3 =2 and x-3 = -2
Add 3 to each side
x-3+3 = 2+3 x-3+3 = -2+3
x = 5 x = 1
PLZ help me!!!! I have no idea how to do this!
Answer:
a)[tex]y^b z^{(b-1)}[/tex]
Step-by-step explanation:
Hope this helps :)
Answer:
Step-by-step explanation:
d is the answer
10y^2+10y+3=0 use quadratic formula to solve each equation
Answer: [tex]\bold{-\dfrac{1}{2}\pm \dfrac{\sqrt5}{10}}i[/tex]
Step-by-step explanation:
[tex]10y^2+10y+3=0\qquad \rightarrow \quad a=10,\ b=10,\ c=3\\\\y=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\y=\dfrac{-10\pm \sqrt{10^2-4(10)(3)}}{2(10)}\\\\\\.\ =\dfrac{-10\pm \sqrt{100-120}}{2(10)}\\\\\\.\ =\dfrac{-10\pm \sqrt{-20}}{2(10)}\\\\\\.\ =\dfrac{-10\pm 2i\sqrt5}{2(10)}\\\\\\.\ =\dfrac{-5\pm i\sqrt5}{10}\\\\\\.\ =-\dfrac{1}{2}\pm \dfrac{\sqrt5}{10}i[/tex]
Find the length of AC if AB=24
Answer: 48
Step-by-step explanation: If B is the midpoint AB make 24 if you want to know the whole length then you would add 24+24+48 which makes AC 48