With the help of some mathematical operations, we can conclude that after 42 months, coach will have a total amount of $8,356 in his bank account.
What exactly are mathematical operations?A mathematical "operation" is the process of calculating a value utilizing operands and a math operator.There are predefined rules associated with the math operator's symbol that must be applied to the supplied operands or numbers.The order of operations is a rule that outlines the proper steps to take when analyzing a mathematical equation.We can recall the PEMDAS steps in the following order: Parentheses, Exponents, Multiplication, Division (from Left to Right), Addition, and Subtraction (from left to right).So, we know that coach gets 2.3% simple interest monthly.
Now, calculate the total amount after 42 months as follows:
4250/100 × 2.3 = $97.75Then, on monthly basis, the coach gets $97.75 as interest.
Then, for 42 months:
97.75 × 42 = $4,105.5Hence, the total amount after 42 months:
4250 + 4,105.5 = $8,355.5Rounding off: $8,356Therefore, with the help of some mathematical operations, we can conclude that after 42 months, coach will have a total amount of $8,356 in his bank account.
Know more about mathematical operations here:
brainly.com/question/28937023
#SPJ13
Correct question:
Coach deposits $4250 in the bank and gets 2.3% simple interest monthly. He keeps the money in the bank for 42 months without any deposits or withdrawals. How much money will he have in the bank after 42 months? Round to the nearest cent.
The age distribution of a population is shown. a. The probability that a person chosen at random is at least 15 years old is %. b. The probability that a person chosen at random is 25−44 years old is %.
Answer is :
The chosen at random is 25 - 44 years old is = 26 %.
Probability determines how likely it is that a stated event would
occur. This event would occur. This probability lies between 0 and 1.
The probability that a person chosen at random is at least
15 years = sum of percentages of people at least 15 years old :
14 + 13 + 13 + 15 + 12 + 13 = 80%
the probability that a person chosen at random is 25 - 44 years old :
13% + 13% = 26%
Therefore The probability is 26%.
To know more about the probability :
https://brainly.com/question/11234923
#SPJ1
Write a function rule for the table. x ƒ(x) –3 –6 –2 –4 –1 –2 0 0 ƒ(x) = x + 2 ƒ(x) = –2x ƒ(x) = x – 2 ƒ(x) = 2x
A function rule for the table: f(x) = 2x
In this question, we have been given a table.
We need to write a function rule for the table.
x ƒ(x)
-3 -6
-2 -4
-1 -2
0 0
We can observe that f(x) = 2x
Therefore, a function rule for the table: f(x) = 2x
Learn more about function here:
https://brainly.com/question/28193995
#SPJ9
If polygon A is the original shape, what is the scale factor to get polygon B?
Answer:
scale factor = 2
Step-by-step explanation:
the scale factor is the ratio of corresponding sides , polygon B to polygon A
in figure A the vertical side RS = 2 units
the corresponding vertical height in figure B = 4 units , then
scale factor = [tex]\frac{4}{2}[/tex] = 2
Can anyone write the equation of the graph?
The equation of the absolute value function graph is: y = |x - 3| + 5.
How to Write the Equation of the Graph of Absolute Value Function?The equation, y = a|x – h| + k, represents the equation of an absolute value function in the vertex form, where:
(h, k) = vertex of the graph a = determines if the graph opens up or opens down.h = horizontal translation factor (this determines how far left or right the parent function is translated)k = vertical translation factor (this determines how far up or down the parent function is translated)We are given the following from the graph:
Vertex (h, k) = (3, 5)
Plug in the values of h and k into the equation, y = a|x – h| + k:
y = a|x - 3| + 5
A point on the graph is (5, 7). Find the value of a by substituting (x, y) = (5, 7) into y = a|x - 3| + 5:
7 = a|5 - 3| + 5
7 = a|2| + 5
7 = 2a + 5
7 - 5 = 2a
2 = 2a
2/2 = 2a/2
1 = a
a = 1
Write the equation of the absolute function graph by substituting a = 1 into y = a|x - 3| + 5:
y = |x - 3| + 5
Learn more about equation of absolute value function on:
https://brainly.com/question/25290500
#SPJ1
re-write the statement 19 + 7 divided by 2 - 5
by including one pair of brackets to make the total value equal to 8
Re-write the statement 19 + 7 divided by 2 x 6 + 1 by including two pairs of brackets to make the total value equal to 2
Answer:
[19+7] / [2 x 6 + 1]
Step-by-step explanation:
[19+7] / [2 x 6 + 1]
[26] / [13]
[2]
8 Here are the descriptions of two numbers.
The smallest multiple of 5 greater than 1000
The largest multiple of 9 with three digits
Work out the difference between these two numbers.
I need help it’s due by 11:59pm
I need
Range=
Domain=
Answer:
Range: [tex]\text{y} \ge 0[/tex]
Domain: [tex]\text{x} \ge 0[/tex]
Both involve "greater than or equal to 0".
==============================================
Explanation:
The domain is the set of allowed inputs (x). The smallest input allowed in this case is x = 0, as it corresponds to the left-most point (0,0) on the blue graph. There is no largest x value since it stretches forever to the right.
Either x = 0 or x > 0 which condenses to [tex]\text{x} \ge 0[/tex] and this is the domain as an inequality.
--------
The range will have us look at the possible y values or possible outputs. We have y = 0 as the smallest output possible, which corresponds to the lowest point (0,0).
There is no largest y value since the blue graph goes forever upward.
Either y = 0 or y > 0 to give us the range of [tex]\text{y} \ge 0[/tex]
CAN SOMEONE HELP ME
Michael has v sweets.
Lily has 5 more sweets than Michael.
James has 8 more sweets than Lily.
They have 75 sweets altogether.
what is the number of sweets Michael has.
Answer:
Michael has 19 sweets
Step-by-step explanation:
19+24+32 = 75
Lilly has: 24
James has: 32
5) Can you give some real world examples (at least two for each) of positive and negative slope?
The positive slope is tilted towards the right on a coordinate plane and the negative slope is tilted towards the left on the coordinate plane.
What is the positive and negative slope?When two variables have a positive slope, it means that they are positively correlated; that is, when x rises, y rises as well, and when x falls, y falls as well. A line on a line graph that has a positive slope rises as the line advances from left to right.
A line that slopes downward from left to right is said to have a negative slope. In other words, the rise-to-run ratio of the line is negative.
The graph of the two real-life situations is attached with the answer below. In which the equation y = 4x means that the value of y is increasing by 4. Similarly, the equation for negative slope is y = -4x means that the value of y is increasing in opposite direction by factor 4.
To know more about positive and negative slopes follow
https://brainly.com/question/26384955
#SPJ1
2x^2 + y^2 = 19
x + 3y = 0
Answer:
(-3,1) & (3, -1)
Step-by-step explanation:
Solving quadratic equation and linear equation:
2x² + y² = 19 -----------------(I)
x + 3y = 0 -----------------(II)
x = -3y --------------(III)
Substitute x = -3y in equation (I) and we can find the value of y.
2(-3y)² + y² = 19
2*9y² + y² = 19
18y² + y² = 19
Combine like terms,
19y² = 19
y² = 19 ÷ 19
y² = 1
y = √1
y = ±1
Substitute y = ±1 in equation (III) and find the value of x.
When y = 1,
x = -3*1
x = -3
When y = -1,
x = -3*(-1)
x = 3
Solutions: (-3, 1) ; (3, -1)
A bakery sells 4 dozen cupcakes every 3 hours. If the bakery is open 8 hours each day, how many days does it take to sell 640 cupcakes?
5 days does it take to sell 640 cupcakes.
Given:
A bakery sells 4 dozen cupcakes every 3 hours.
If the bakery is open 8 hours each day.
4 dozen cupcakes = 4*12 cupcakes
= 48 cupcakes
48 cupcakes = 3 hours
divide by 3 on both sides
3hours/3 = 48/3 cupcakes
1 hour = 16 cupcakes
Number of cupcakes for 8 hours = 8 * 16 = 128 cupcakes.
128 cupcakes sells in one day.
To sell 640 cupcakes = 640/128
= 5 days.
Therefore 5 days does it take to sell 640 cupcakes.
Learn more about the bakery and cupcakes here:
https://brainly.com/question/14466478
#SPJ1
If the plants grew 12 mm one season, how much rain fell?
The point (8, 6) represents that when there was 8 cm rainfall the plant grew 6 mm. When the plant grew 12 mm in one season, there were 16 mm rainfall
The graph shows the proportional relationship between rainfall during the growing season and seasonal growth of a type of plant
The x axis represents the rainfall during the growing season and y axis represents the seasonal growth of a type of plant.
The point (8, 6) represents that when there was 8 cm rainfall the plant grew 6 mm.
8 represent the x axis measurement and 6 represent the y axis measurements
When the plant grew 12 mm in one season, there were 16 mm rainfall
Hence, the point (8, 6) represents that when there was 8 cm rainfall the plant grew 6 mm. When the plant grew 12 mm in one season, there were 16 mm rainfall
The complete question is:
The graph shows the proportional relationship between rainfall during the growing season and seasonal growth of a type of plant. What does the point (8,6) represent? If the plants grew 12 mm one season, how much rain fell?
Learn more about proportional relationship here
brainly.com/question/13457626
#SPJ1
What is an equation of the line that passes through the points (4, -2) and (2, 3)
The slope-Intercept form of the given line is y=1.5x.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is y-intercept.
The given line passes through (4, -2) and (2, 3). Therefore, the slope of the given line can be written as,
Slope of the line, m = (-2 - 3)/(4 - 2)
= 3 / 2
= 1.5
Now, the equation of the line passing through (2, 3) can be written as,
y = mx + c
(3) = 1.5(2) + C
3 = 3 + C
3 - 3 = C
C = 0
Substitute all the value in the equation of the line,
y = m(x) + c
y = 1.5(x) + 0
y = 1.5x
Hence, the equation of the given line is y=1.5x .
Learn more about Equation of Line here:
brainly.com/question/21511618
#SPJ1
PLEASE PLEASE HELP ME WITH THIS QUESTION Two systems of equations are given below.
For each system, choose the best description of its solution.
If applicable, give the solution.
Micah is making salsa at a factory using tomatoes
and onions in the ratio of 5:2. If the total volume
of salsa Micah makes is 147 cups, find the volume
of the tomatoes Micah uses.
Answer: 21 Tomatoes
Step-by-step explanation:
5 + 2 = 7
147 / 7 = 21
21 Tomatoes
In quadrilateral BADC, AB=AD and BC=DC. Which of the following contains only true statements?
Answer:
abad
Step-by-step explanation:
you want to order posters to advertise your band. a company charges $109.95 for the first 100 posters and $65 for each additional 100 posters. a. write the equation where $y$ represents the total cost (in dollars) as a function of $x$ , the number (in hundreds) of posters ordered.
The required question based on number of posters is y = 109.95 + 65x.
The cost of additional posters = 65x, based on the mentioned information.The 100 posters make 1 set. Assuming the total number of posters be x. So, the additional sets will be calculated by the formula = (x - 100)/100.
Now, the equation will be the sum of the cost of first 100 posters and the cost of remaining posters.
y = 109.95 + 65x
Thus, the equation with the total cost (in dollars) as a function of the number (in hundreds) of posters ordered is y = 109.95 + 65x.
Learn more about equations -
https://brainly.com/question/21405634
#SPJ4
Use function notation to write the rule for each function
f{(0,1) (1,3) (2,5) (3,7) (4,9)}
Answer: y=2x+1
Hope this helps
the probability that jacie will eat cheese on any given day is 0.6 while the probability that robyn will eat cheese on any given day is 0.25. if these events are independent, what is the probability that jacie or robyn will eat cheese on a randomly selected day?
The probability for Jacie or Robyn would consume cheese on a random day is 0.15.
What is defined as the independent events?Two occurrences are considered independent if indeed the occurrence of one does not alter the likelihood of the occurrence of the other. The mathematical expression of event independence A and B is the chance of both A and B occurring being equal to the sum of both the probabilities of both B and A (i.e., P) (A and B).The likelihood of Jacie eating cheese on any particular day is 0.6.
The likelihood of Robyn eating cheese on any particular day is 0.25.
Both events are independent.
As a result, the probability for Jacie or Robyn would consume cheese on a random day is;
P(Jacie or Robyn) = P(Jacie). P(Robyn)
P(Jacie or Robyn) = 0.6 x 0.25
P(Jacie or Robyn) = 0.15
Thus, the probability for Jacie or Robyn would consume cheese on a random day is 0.15.
To know more about the independent events, here
https://brainly.com/question/22881926
#SPJ4
The length of the base of an isosceles triangle is x. The length of a leg is 4x-4. The perimeter of the triangle is 37. Find x.
Answer:
x = 9
Step-by-step explanation:
According to the question,
Perimeter of an isosceles triangle = 37
Length of the base = x
Length of one leg = 4x - 4
As it is an isosceles triangle so length of the other leg will also be 4x - 4.
Perimeter of triangle is equal to sum of all the lengths of the triangle.
[tex] \therefore [/tex]
[tex] \rm \implies Length \: of \: base + Length \: of \: one \: leg + Length \: of \: other \: leg = 37
\\ \\ \rm \implies x + 4x - 4 + 4x - 4 = 37
\\ \\ \rm \implies 9x - 8 = 37 \\ \\ \rm \implies 9x = 37 + 8 \\ \\ \rm \implies 9x = 45 \\ \\ \rm \implies x = \frac{45}{9} \\ \\ \rm \implies x = 5
[/tex]
Patricia’s brother Kevin likes his lemonade. Best way to use a ratio of 3 tablespoons of lemon juice to 24 ounces of water. Does Kevin favorite lemonade juice taste the same as Patricia
Kevin favorite lemonade juice can't taste the same as Patricia's.
What is ratio?Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).
1 table spoon = 0.5 ounce
Therefore, 24 ounces will be:
= 24 × 0.5
= 12 tablespoon
In this case, they have different tablespoon and therefore won't have same taste.
Learn more about ratio on:
brainly.com/question/2328454
#SPJ1
what is this asap
x=6+29
Answer:
x=35
Step-by-step explanation:
29+6=35
btw are you sure that you are in highschool???
Answer:
35
Step-by-step explanation:
29+6 is 35 u sure in high school?
Sophia spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -2.1°F. Between 9am and noon, the temperature increased by 10.8°F. Between noon and 3pm, the temperature decreased by 13°F. Between 3pm and 6pm, the temperature dropped 18.4°F. What was the temperature at 6pm? PLEASE
Answer:
Step-by-step explanation:
-22.7
Determine whether the relation is a function. Then list the domain and range.
{(1, -2), (-1,2), (-2,4), (1,3)}
The domain of the relation is 1,-1,-2, and 1. The range of the function is -2,2,4, and 3.
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and the independent variable.
A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values. The domain of the function is defined as the set of all the possible values of the function.
The domain of the relation is 1,-1,-2, and 1. The range of the function is -2,2,4, and 3.
To know more about functions follow
https://brainly.com/question/2833285
#SPJ1
A seamstress usually sews 55 pieces per day. on a certain day,
she sews 77 pieces. what is the percent increase in the number
of pieces she sews on that day?
The percentage increase in the number of pieces she saws on that day is 40%.
Here it is given that a seamstress sews 55 pieces per day.
But on a certain day, 77 pieces were sewn.
We have to find the percentage increase in the number of pieces she sews on that day.
So first we have to find the increase in the number of pieces she sews.
Increase in the number = 77 - 55
= 22
The original number per day = 55
Formula to find the percentage increase in the number.
Percentage increase = Increase in number/ original number × 100
Now putting the values in the equation:
Percentage increase = 22 / 55 × 100
= 2/5 × 100
= 40%
Therefore there is a 40% increase in the number of pieces.
To know more about the percentage refer to the link given below:
https://brainly.com/question/24877689
#SPJ4
125 = 7m - 1 please answer
Answer:
m=18
Step-by-step explanation:
Hi if someone could help me I would be very grateful.
I submitted a photo of the questions
Answer:
5/12
6/15
10/18
Step-by-step explanation:
In the figure below, lines m and n are parallel.
What is the value of x?
OA. 30
B. 35
OC. 45
OD. 40
m-
n+
(4x + 5)°
xo
Answer:
B. 35
Step-by-step explanation:
Because lines m and n are parallel, we know that x+(4x+5)=180.
So all you have to do is simplify.
x+(4x+5)=180
5x+5=180
5x=175
x=35
So the only possible value of x is 35
what if n is negative what is the value of the equation below n(2)+8 divided by 4 = 11
If n is negative the value of the equation that we have below would be -18
How to solve the equationWe have to rewrite the equation in a way that it would be easier to understand first.
[tex]\frac{-2n+8}{4} =11[/tex]
Next we would have to cross multiply
this would give us
-2n + 8 = 11 * 4
-2n + 8 = 44
take the like terms
-2n = 44 - 8
-2n = 36
divide through by -2 from the above
-2n / -2 = 36 / -2
n = - 18
Therefore given that we have that the value of the equation after n is negative is -18.
Read more on equations here: https://brainly.com/question/22688504
#SPJ1
Can you find the measure of the indicated angle and type the correct code? Please remember to type in ALL CAPS with no spaces,
Answer:
hey I need this answer and puzzle 4 and 5 you got these things?
Step-by-step explanation:
please
The measure of angles A, B , C and D°are 36°, 63°, 71° and 111° respectively
How to determine the measure of the indicated angle?
To find the measure of angles of A, B, C and D, you need to apply some of the angle geometry concepts as follows:
1. m<A
(x+24)° and A = 3x
Since alternate angles are equal, thus:
3x° = (x+24)°
3x -x = 24
2x = 24
x =24/2 = 12
Also, A = 3x = 3(12) = 36°
2. m<B
B = 10x-27 and 7x
Since corresponding angles are equal, thus:
10x -27 = 7x
10x -7x = 27
3x = 27
x = 27/3 = 9
Also, B = 10x -27 = 10(9) -27 = 90-27 = 63°
3. m<C
C = (5x+1)° and (6x-13)°
Since corresponding angles are equal, thus:
(5x+1)° = (6x-13)°
6x -5x = 13+1
x = 14
Also, C = 5x+1 = 5(14) + 1 = 70+1 = 71°
4. m<D
(6x+3)° and D = (4x+39)°
Since alternate angles are equal, thus:
6x+3 = 4x+39
6x-4x = 39-3
2x=36
x = 36/2 =18
Also, D = 4x+39 = 4(18) + 39 = 72+39 = 111°
Therefore, the m<A = 36°, m<B = 63°, m<C = 71° and m<D =111°. Since B, A, H and E correspond to m<A, m<B, m<C and m<D respectively, so type BAHE in the answer box
Learn more about measure of angles on:
https://brainly.com/question/25716982
#SPJ1