Answer:
0
Step-by-step explanation:
X-X
=0
Ben deposited $6,500 in a simple interest account that pays 2.8% interest annually. If Ben leaves the money in the account for 12 years, how much interest will he earn?
Answer:
$2,184
Step-by-step explanation:
$6,500 x 2.8% = annual interest
6,500 x 2.8% = $182 annual interest
$182 x 12 years = interest earned in 12 years.
182 x 12 = $2,184
Your brother tells you a secret. You see no harm in telling two friends. After this second
"passing" of the secret, 4 people now know the secret (your brother, you and two friends). If
each of these friends now tells two new people, after the third "passing of the secret, eight
people will know. Write an equation to express the "passing" of the secret. If this pattern of
spreading the secret continues, how many people will know the secret after 10 such
"passings"?
Answer:
After n passing, the total number of people knowing the secret [tex]= 2^n[/tex].
After 10 passing, 1024 peoples know the secret.
Step-by-step explanation:
Given that each friend can pass the secret to 2 people.
On 1st pass:
Total number of people knowing the secret = 1+1=2
On 2nd pass:
Total number of people knowing the secret = 1+1+1x2=4
On 3rd pass:
Total number of people knowing the secret = 1+1+2+2x2=8
This can be written as [tex]1+1+2+2^2=1+1+2+2^{3-1}=8[/tex]
Or, [tex]1+S_3=8[/tex], where [tex]S_3=1+2+2^{3-1}[/tex].
So, for the [tex]n^{th}[/tex] pass:
Total number of people knowing the secret = [tex]1+1+2+2^2+\cdots+2^{n-1}=1+S_n, where, S_n = 1+2+2^2+\cdots+2^{n-1}[/tex].
As [tex]S_n[/tex] is the sum of geometric progression of n terms having the first term, [tex]a_1=1[/tex], and the common radio [tex]r=2[/tex].
So, [tex]S_n = \frac{a_1(r^n-1)}{r-1}[/tex]
[tex]\Rightarrow S_n =\frac{1(2^n-1)}{2-1}=2^n-1[/tex].
Hence, after n passing, the total number of people knowing the secret
[tex]=1+S_n = 1+2^n-1=2^n.[/tex]
After, 10 passing, put n=10.
Total number pf peoples know the secret [tex]= 2^{10}=1024.[/tex]
How many solution of the system?
y = 2x + 3
3 y = 6 x + 9
Answer:
infinite number of solutions
Step-by-step explanation:
Given the 2 equations
y = 2x + 3 → (1)
3y = 6x + 9 → (2)
Divide the terms in (2) by 3
y = 2x + 3 → (3)
Since the equations are the same in (1) and (3) , then
The system has an infinite number of solutions
A round swimming pool has a diameter of 59 ft, you want to paint the bottom of the pool. If each can of paint can cover 300 ft^2. How many cans do you need to buy?
Answer: You need to buy about 10 cans of paint.
Step-by-step explanation:
Given : Diameter of round swimming pool = 59 ft
Radius = half of diameter
= [tex]\dfrac{59}{2}[/tex] ft
Area of circle = [tex]\pi r^2[/tex] , where r= radius
Area of bottom of pool = [tex]\dfrac{22}{7}\times\dfrac{59}{2}\times\dfrac{59}{2}[/tex]
[tex]=\dfrac{38291}{14}\ ft^2[/tex]
Each can of paint cover 300 ft².
So , Number of cans required to cover 1 ft² = [tex]\dfrac1{300}[/tex]
Number of cans required to cover[tex]\dfrac{38291}{14}\ ft^2[/tex] = [tex]\dfrac{38291}{14}\times\dfrac{1}{300}=9.1169047619\approx10[/tex]
Hence, you need to buy about 10 cans of paint.
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What are the input values?
392,196 divided by 87 (Using long division)
The result of 392,196 divided by 87 is 4,508.
What is long division?Long division is a mathematical process to divide numbers by using multiple steps. This process is applied to big numbers because it facilitates the process of dividing without using a calculator.
What are the steps for long division?Here are the steps you need to follow:
1. Identify the divident and the divisor.
Divident: 392,196
Divisor: 87 (number that divides)
2. Start dividing using one number at a time.
39 / 87 = 0392 / 87 = 4 (87x 4 = 348) - 4 is the first digit of the result392 - 348 = 44 (remainder)441 (next digit is one) / 87 = 5 (87x 5= 435) - 5 is the second digit441-435 = 6 (remainder)69 / 87 = not possible so add a 0, which is the third digit696 / 87 = 8 (87x 8 = 696)696- 696 = 0 (not remainder)Learn more about division in: https://brainly.com/question/369266
I’ll give you a brainliest if you answer the question in the picture
Answer:
1 2/4
Step-by-step explanation:
If two lines are parallel to the same line, then they are parallel to each other. Is there a specific name for this theorem when being used in proofs?
Answer:
For a line:
y = a*x + b
where a is the slope, and b is the y-intercept.
Any other line with the same slope but different y-intercept will be parallel to this line.
Then if we have two lines like:
y1 = a*x + c
and
y2 = a*x + k
Both of them are parallel to our first line, and as you can see, both of them have the same slope and different y-intercept, then these lines are also parallel.
Now, the statement says that:
"If two lines are parallel to the same line..."
Then we can have the lines:
y1 = a*x + k
y2 = a*x + k
Both of them are parallel to our first line (same slope)
Buth these lines are the same line, then these lines are not parallel to each other (a line is not parallel to itself, because it intersects itself in infinity points), then the actual statement should be:
"If two different lines are parallel to the same line, then they are parallel to each other".
Now, this theorem does not have a particular name, just call it as the above statement.
please help me find the area of this triangle!!! i put this question at 25 points!!!!
Answer:I believe the answer is 12
Step-by-step explanation: if you split the triangle into 2 then you can do 1/2bh then add them. (1/2)(2)(3)+(1/2)(6)(3)=12
the points on the graphs represent relations. Classify these relations according to whether or not they are functions
9514 1404 393
Answer:
functions: 2 graphs on the rightnot functions: 2 graphs on the leftStep-by-step explanation:
If a vertical line can be drawn that goes through 2 or more points on the graph, then it is not a function. That will be the case for the two graphs on the left side of your figure.
The two graphs on the right side pass this "vertical line test," so are functional relationships.
upper left: not a function
upper right: is a function
lower left: not a function
lower right: is a function
Help me with please and thanks
Answer: b
Step-by-step explanation:
The answer is b because both sides of the table start with zero and both sides of the table have a continues pattern the y side(right). They are increasing by a set # of points(3).
I AM NOT POSITVE ABOUT THE ANSWER, BUT IF I HAD TO GUESS- B WOULD BE THE ANSWER! sorry if its wrong!
first person to answer get brainliest. 75 × 62 - 58 + 68 - 58
Answer:
4602
Step-by-step explanation:
Answer:75 × 62 - 58 + 68 - 58 = 4602
Step-by-step explanation:
Pls hellppp!! !Reaally
What is the volume of a rectangular prism with the dimensions 7m 8m and 9m
Answer:
504 m³
Step-by-step explanation:
The volume of the rectangular prism is V = 504 m³
What is the volume of a prism?A three-dimensional solid object called a prism has two identical ends. It consists of equal cross-sections, flat faces, and identical bases. Without bases, the prism's faces are parallelograms or rectangles.
The volume of a prism is the product of its base area and height
Volume of Prism = B x h
where B = base area of prism
h = height of prism
Given data ,
Let the volume of the prism be represented as V
Now , the value of V is
Let the height of the rectangular prism be H = 9 m
Let the length of the rectangular prism be L = 7 m
Let the width of the rectangular prism B = 8 m
where the base area of prism B = L x W = 7 x 8 = 56 m²
Now , the volume of the prism V = B x H
The volume of prism V = 56 x 9 = 504 m³
Hence , the volume of the rectangular prism V = 504 m³
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write a equivalent equation for the 2
Each Saturday morning, Beau practices throwing pitches to his dad. His dad estimates the probability of each pitch Beau throws being a "strike" is 0.3. If each pitch is considered to be independent, what is the probability that the next three pitches thrown by Beau will all be strikes?
Answer: 0.27
Step-by-step explanation:
Given that :
Probability of being a strike ; p(strike) = 0.3
Note : the probability of each pitch Beau is independent :
Probability that next three will be a strike :
p(strike) * p(strike) * p(strike)
= 0.3 * 0.3 * 0.3
= 0.27
Danielle takes her dog to be groomed. The fee to groom the dog is $75.00
plus 6.75% tax. Is $80.00 enough to pay for the service including tax? Justify
your answer. Pleaseeee helppp thank you!!
Answer:
no, it won't be enough because you would need $80.06
Step-by-step explanation:
I just found 6.75% of 75 and added it on
What is the image point of (3, 8) after a translation right 3 units and down 5 units
Answer:
(6, 3)Step-by-step explanation:
Translation right (or left) means change of the x-coordinate.
Translation down (or up) means change of the y-coordinate.
(3, 8) → (3+3, 8-5) = (6, 3)
How many significant digits are there in 90,100?
Your answer should be:
three significant figures.The three significant figures would be the 9, 0, then 1.
Steve wants to buy a new car and sees $12,000 car for which the dealership will provide 8% financing because of Steve's poor credit score. Sam has a better credit score and did some research before trying to buy his vehicle, so he was able to get a $16,000 car at 1.5% interest. Assuming the interest is compounded annually, who will pay the more at the end of the 5-year term for these car loans? Support your answer by stating the equation AND answer for BOTH Sam and Steve
5000
Step-by-step explanation:
because u have to add
the difference of the product of 3 and m
minus the quotient of m divided by 2
m=6
Answer:5m/2
Step-by-step explanation:
3m-m/2
(2×3m-1×m)/2
(6m-m)/2=5m/2
Explain how to change an Linear Equation from Standard form to slope intercept form. Tell me two reasons that it is important to be able to have the linear equation in slope intercept form.
Answer:
A) The standard form of a linear equation is given as follows;
Ax + By = C
In order to change the above linear equation from standard form to slope and intercept form which is the form y = mx + c, we have;
1) Move the x-variable (and its coefficient) to the right side of the equation as follows;
By = C - Ax
2) Divide both sides of the equation above equation, by the coefficient of y as follows;
By/B = C/B - Ax/B
y = C/B - A/B·x
3) Rearrange the right hand side of the above equation
y = -A/B·x + C/B
The equation given above is in the slope and intercept form, y = m·x + c, where;
m = -A/B
c = C/B
B) Two reasons why it is important to have a slope and intercept form of a linear equation are;
1) The slope and intercept for shows the initial value of the dependent variable, y, when the dependent variable, x is 0 which is the constant term, c, in the equation
2) The slope coefficient term, m, in the slope and intercept form of a linear equation shows the rate of increase of the y-coordinate value with a unit increase in x-coordinate value.
Step-by-step explanation:
1.factor 12x^2+9
2.factor 25x^2-35
3.factor -x^2 - 2x
4.factor -5x^2+7x
5.factor -14x^2-7x
6.factor 27x^2-9x
A tow truck company in Houston charges a $40 service call fee and an additional fee of $15 per mile that the vehicle is towed. Write an equation in slope intercept form where c represents the total cost and m, represents the number of miles the vehicle is towed.
Answer:
c=15m+40Step-by-step explanation:
Step one:
given data
charged = $40 call fee
additional charges= $15 per mile
let the number of miles be m
and let the total charges be c
Required, the linear function which represents the total charges
Step two:
the equation for the charges in slope-intercept form is
c=15m+40
helpieeeeeeeeeeeeeeeee plzzzzzzzzzzzz owo Will make brainlist
Answer:
9x^2-3x - 12
Step-by-step explanation:
(9x^2 + 6x - 7) + (-9x -5)
Simplify the expression:
9x^2 - 3x - 12
Factor:
Add and subtract the second term to the expression and factor by grouping.
3( x + 1 ) ( 3x - 4 )
Standard form:
9x^2 - 3x - 12
I hope this helps :)
find the slope of a line parallel to each given line y = x + 2
Answer:
y = x + 4
Step-by-step explanation:
For a line to be Parallel it has to have the same slope but different y intercept
Answer:
1
Step-by-step explanation:
This equation is written in the
y = mx + b,
where "m" is the slope, and "b" is the y-intercept.
In this case, m=1, hence the "x" has no coefficient; therefore, the slope of the given line is 1.
When 2 lines are parallel, they run next to each other, for infinitely long, yet they never touch. This means that 2 parallel lines have the same slope. Hence a line running parallel to the given one will also have a slope of 1.
someone help 6th grade math i will mark brainliest
Answer:
B. -2 *4
Step-by-step explanation:
Buy 6 mangoes and get 2 free $2.00 per mango (a) Robin purchased $36.00 worth of mangoes. How many free mangoes did Robin get? (b) How many mangoes did he get all together? (c) Peter also bought mangoes. He received 40 mangoes. How much did Peter pay?
Answer:
A.) 6
B.) 24
C.) $60
Step-by-step explanation:
Given that :
Cost of Mango = $2
Purchase of 6 mangoes earns 2 free mangoes
(a) Robin purchased $36.00 worth of mangoes.
How many free mangoes did Robin get?
$36 / price per Mango
$36 / $2 = 18 mangoes
18 / 6 = 3
Hence, free mangoes (3 * 2) = 6 free mangoes
(b) How many mangoes did he get all together?
18 mangoes + 6 mangoes = 24 mangoes
(c) Peter also bought mangoes. He received 40 mangoes. How much did Peter pay?
Set of mangoes purchased:
40/ (6 + 2) = 40/8 = 5 sets of mangoes
Hence, amount paid :
2 * 6 * 5 sets
$60
26.5-9.3=?
help me pls
Answer:
17.2
Step-by-step explanation:
The graph of exponential function f(x) is shown. What is the value
The value of f(6)=64
Given :
The graph of an exponential function .
Explanation :
We need to find out f(6) using the given graph .
To find f(x), first we find out the function f(x) using the graph .
Pick any two points from the graph (0,1) and (1,2)
General form of exponential function is [tex]y=ab^x[/tex]
Substitute (0,1) in general equation
[tex]1=ab^0\\1=a\\a=1[/tex]
Now we plug in (1,2) in the equation
[tex]y=ab^x\\2=1(b)^1\\2=b\\b=2[/tex]
Substitute a=1, b=2 in [tex]f(x)=ab^x\\[/tex]
[tex]f(x)=1(2)^x\\f(x)=2^x[/tex]
To find out f(6), we plug in 6 for x in f(x)
[tex]f(x)=2^x\\f(6)=2^6\\f(6)=64[/tex]
Learn more : brainly.com/question/3971260