[tex]\bf ~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$410000\\ r=rate\to 3.85\%\to \frac{3.85}{100}\dotfill &0.0385\\ t=years\dotfill &1 \end{cases} \\\\\\ I=(410000)(0.0385)(1)\implies I=15785[/tex]
PLEASE HELP NOW PLEASE
Volume of a rectangular prism is V = L x W x H
The length for the small prism is 6
The width for the small prism is 4
The height for the small prism is 3
So 6 x 4 x 3 = 72
The length for the large prism is 16
The width for the large prism is 9
The height for the large prism is 2
So 16 x 9 x 2 = 288
Now you add the two volumes together: 288 + 72 = 360 ft cubed.
can someone help me with this math problem?
Answer:
14 cm
Step-by-step explanation:
10 plus 8 plus 6
perimeter means add up the sides
Given a spinner with 9 equal-area sections, a trial of 100 spins resulted in an experimental probability of 13% for the spinner
landing on 4. Which of the following statements must be false?
A. The theoretical probability P(spinner < 4) = 100%
B. The theoretical probability P(spinner =4) = 11%
C. In a new trial of 100 spins, the experimental probability, P(spinner=4) may be different.
D. The experimental probability P(not spinner =4) = 87% for this trial.
Answer:
b
Step-by-step explanation:
Answer:
The answer is spinner B. There are 8 sections on the spinner and 4 of them have letter A, so P(A)= 1/2.
Find the next letter in the sequence W, T, Q, N, K, H
Answer:
E
Step-by-step explanation:
The pattern is 3 letters before.
The sum of two numbers is -284. One number is 62 less then the other. Find the numbers
Answer:
It could be -111 and -173
Step-by-step explanation:
-111 is 62 more than -173 and together they are -284.
2 times 10 to the 16th plus 7 times 10 to the 16th in scientific notation
Answer:
The answer is [tex]9\times 10^{16}.[/tex]
Step-by-step explanation:
Given:
2 times 10 to the 16th plus 7 times 10 to the 16th in scientific notation.
Now, to solve in scientific notation.
So, we change into scientific notation:
2 times 10 to the 16th
[tex]=2\times 10^{16}[/tex]
7 times 10 to the 16th
[tex]=7\times 10^{16}[/tex]
Now, to add:
[tex]2\times 10^{16}+7\times 10^{16}[/tex]
As, we see the powers are same so we add the numbers in this standard form:
[tex]=(2+7)10^{16}[/tex]
[tex]=9\times 10^{16}.[/tex]
Therefore, the answer is [tex]9\times 10^{16}.[/tex]
when did WWII start (please dont delete ansers i will do that ok)
There are a couple different dates that people say WW2 started but the main start of the war was when the Nazi’s invaded Poland September 1, 1939
Tyler's age is three less than his brother's age. The sum of their ages is 11.
How old is Tyler?
14
7
4
2
Answer:
His Age is 4 years old
Step-by-step explanation:
His brother is 7
Answer: 4
Step-by-step explanation:
If Tyler is 4 years old then his brother would be 7 and 7+4=11
If X = 6 cm and Y = 8 cm, what is the length of Z?
Y=2/3x+5 find the slope and y-intercept of the linear equation
The slope is always rise/run and has a variable. In this case, 2/3x is the slope.
The y-intercept is always the number at the end, which is the y-value. This would mean that 5 is the y-intercept.
Answer:
Step-by-step explanation:
Y = ⅔X + 5
Comparing with y = mx + c
Where m is the slope and c is the intercept
m = ⅔ and c = 5
A middle school contains sixth seventh and eighth graders each grade level contains approximately the same number of students the principal wants to find the answer to a survey question affecting each student in the school he has a sample group what time do you get up in the morning which of these characters is to find the best sample
Answer:
an equal number of students chosen at random from each grade level
In statistics, a sample is a little amount that reveals how the remainder is or should be.
What are statistics?Statistics is the study of collection, analysis, interpretation, and presentation of data or to discipline to collect, and summarise the data.
A middle school contains sixth, seventh, and eighth graders each grade level contains approximately the same number of students the principal wants to find the answer to a survey question affecting each student in the school.
An equal number of pupils from each grade level were chosen at random.
We could simply collect the information of all the pupils by randomly picking some students such that there are an equal number of students from each grade.
More about the statistics link is given below.
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Four more than 5 times the number x is less than 50
Answer:
4+5x<50
Step-by-step explanation:
5n < 50 <--- subtracts 4 from both sides
n < 10 <--- divides both sides by 5
Check: testing n=0, we have 4 + 5(0) = 4 + 0 = 4 < 54, so yes it works
testing n=10, 4 + 5(10) = 4 + 50 = 54.
testing n=11, 4 + 5(11) = 4 + 55 = 59 <--- fails as expected.
X < 10, proven, verified, correct
The inequality 'Four more than 5 times the number x is less than 50' translates to '5x + 4 < 50'. By solving, we find the solution is 'x < 9.2', indicating that x must be less than 9.2.
Explanation:The question "Four more than 5 times the number x is less than 50" can be translated into a mathematical inequality. The 'four more than' suggests addition, and '5 times the number x' indicates multiplication.
Therefore, we have the inequality 5x + 4 < 50. To find the range of values for x, we need to solve the inequality for x.
Step 1: Subtract 4 from both sides to isolate the term with x on one side of the inequality. 5x < 46.
Step 2: Divide both sides by 5 to solve for x. x < 9.2.
So, the solution to the inequality is that x must be less than 9.2. This inequality does not require the quadratic formula as suggested in some parts of the provided information.
The assumption that 'The value of x is not less than 5% of 0.50' is also not relevant to solving this particular inequality.
Please help!!
Find the inverse of y=7x-10. Is the inverse a function?
Answer: [tex]f^{-1}[/tex] (x) = [tex]\frac{x+10}{7}[/tex]
Step-by-step explanation:
To find the inverse , all we need do is to make x the subject of the formula.
y = 7x - 10
Add 10 to both sides
y + 10 = 7x
divide both sides by 7
Therefore:
x = y + 10 / 7 , that is
[tex]f^{-1}[/tex] (x) = [tex]\frac{x+10}{7}[/tex]
Answer:
Step-by-step explanation:
y=7x-10 calculate x : 7x-10 =y
7x = y+10
x = 1/7 y +10/7
the inverse of y=7x-10 is ; y = 1/7 x +10/7
please help me with this
What is 4x+7z-x+5-(4z) when combining like terms
Answer:
When combining like terms the given expression turned to the simplest form of expression 3(x+z)+5
That is 4x+7z-x+5-(4z)=3(x+z)+5
Step-by-step explanation:
Given expression is 4x+7z-x+5-(4z)
To combining the given expression to solve it as below :
4x+7z-x+5-(4z)
=4x+7z-x+5-4z
=4x-x+7z-4z+5 ( combining the like terms of x and z )
=3x+3z+5 ( here adding the like terms )
=3(x+z)+5 ( taking the common factor )
Therefore 4x+7z-x+5-(4z)=3(x+z)+5
When combining like terms the given expression turned to the simplest form of expression 3(x+z)+5
That is 4x+7z-x+5-(4z)=3(x+z)+5
10x^2=6x how do i solve ? quadratic equation
Answer:
x=0 or x=6/10
Step-by-step explanation:
10x^2=6x ⇔ 10x^2 - 6x = 0 ⇔ x(10x-6)=0 ⇔ x=0 or x= 6/10
You're locked out of your
house and the only open
window is on the second
floor, 20 feet above the
ground. You need to borrow
a ladder from one of your
neighbors. There's a bush
along the edge of the house,
so you'll have to place Lie
ladder 15 feet from the
house. What length of
ladder do you need to reach
the window?
Answer:
25 feet
Step-by-step explanation:
In this problem, you would need to use the pythagorean theorem, a^2 + b^2 = c^2.
It doesn't matter which you decide to be a and which you decide to be b, but the diagonal line, or hypotenuse, must be c. In this case, that is the ladder.
Now you plug numbers into the equation. 20^2 + 15^2 = c^2.
Simplify the left side of the equation. 400 + 225 = c^2, 625 = c^2.
Now, since c is still squared, take the square root of both sides. c = 25.
Another way to solve this is using the special triangles. One of the easiest to remember is the 3-4-5 triangle. That is what this triangle is, once you factor out a 5 from all of the numbers (15/5=3, 20/5=4, 25/5=5). Them you just multiply whatever missing number you are looking for by the factor you took out (5 × 5 = 25).
Is 13/8 greater less or equal to 15/12
Greater than bc the pieces is bigger
Will make brainliest if answered correctly
These two boxes have the same volume.
Box A
Height: 2 in., Width: 3 in., Length: 6 in.
Box B
Height:3in., Width:4in., Length:?
What is the length of Box B?
A.2in
B.3in
C.4in
D.9in
Answer:
Option B.) 3 inches
Step-by-step explanation:
Let us first express some principles that we can use to solve our problem. Generally, the Volume of a Box is given by:
[tex]V=h*w*l[/tex]
where
[tex]V[/tex] : is the volume
[tex]h[/tex] : is the height
[tex]w[/tex] : is the width
[tex]l[/tex] : is the length
Now we know that:
Volume of Box A ( [tex]V_{A}[/tex] ) is Equal to Volume of Box B ( [tex]V_{B}[/tex] ) so we have:
[tex]V_{A}=(2in)(3in)(6in)\\V_{A}=36 in[/tex]
So now we can find the Length ( [tex]l_{B}[/tex] ) of Box B easily, as we now the volume along with the height and the width, as follow:
[tex]V_{A}=V_{B}=36in\\\\36in = (3in)(4in)l_{B}\\\\36in=(12in)l_{B}\\\\l_{B}=\frac{36in}{12in}\\ \\l_{B}=3in[/tex]
So the Length of Box B is 3 inches, thus Option B. is correct.
Consider the graph and equation, y = 3x, that represent Alonso’s walking speed. What relationship is represented by this equation and graph? What would the points (3, 9) and (5, 15) represent?
Answer:
The equation y = 3x represents a proportional relationship, where y represents distance in miles, and x represents time in hours. The point (3, 9) represents that Alonso walks 9 miles in 3 hours. The point (5, 15) represents that Alonso walks 15 miles in 5 hours.
The graph of line y = 3x represents how much distance is covered in how much time.
Here x is the time and y represents distance traveled. So, for points (3, 9) and (5, 15), it represents that Alonso covered 9 units of distance in 3 units of time and 15 units of distance in 5 units of time.
What is the equation of line?The general equation of line is,
y = mx + c
where m is the slope and c is the intercept.
Now the given equation is,
y = 3x
This represents Alonso's walking speed.
So it is explained that y distance is covered in x time.
Hence for points (3,9),
x = 3
y = 9
So,
Alonso covered 9 units of distance in 3 units of time.
For point (5,15)
x = 5
y = 15
So,
Alonso covered 15 units of distance in 5 units of time.
Thus,for points (3, 9) and (5, 15), it represents that Alonso covered 9 units of distance in 3 units of time and 15 units of distance in 5 units of time.
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The difference between two numbers is 9. The first number plus twice the other number is 27. Find the two numbers.
The two numbers are 15 and 6
Solution:
Let the two number be "a" and "b"
Let the first number be "a" and second number be "b"
Given that,
The difference between two numbers is 9
a - b = 9 -------- eqn 1
The first number plus twice the other number is 27
First number + twice the second number = 27
a + 2b = 27 ---------- eqn 2
Let us solve eqn 1 and eqn 2
From eqn 1,
a = 9 + b ------ eqn 3
Substitute eqn 3 in eqn 2
9 + b + 2b = 27
3b = 27 - 9
3b = 18
Divide both sides of equation by 3
b = 6Substitute b = 6 in eqn 3
a = 9 + 6
a = 15Thus the two numbers are 15 and 6
Forty times the sum of forty-three and fifty seven
Answer: 4000
Step-by-step explanation:
40(43+57)
40(100)
4000
Answer:
3600
Step-by-step explanation:
(43+47)*40
=90*40
=3600
Find excluded values
[tex]\frac{5x-20}{14x^{2}-7x }[/tex]
1. In a factory, all employees work a basic week of 38 hours. Any overtime worked during week-days is paid for at time and a half. Overtime worked on Saturday is paid for at double-time,whilst on Sunday it is paid for triple-time. If the basic rate is $8.96 per hour, determine the gross wage of a man who worked 15 hours overtime from Monday to Friday, 3 hours overtime on Saturday and 2 hours overtime on Sunday.
2. In an urea manufacturing plant, all employees work a basic week of 40 hours. Any overtime worked during weekdays is paid for at time -and-a-quarter. Overtime worked on Saturday is paid for time-and-a-half, whilst on Sunday it is paid for at double-time. If the basic rate is $14.60 per hour and a man worked 15 hours overtime during weekdays, 6 hours overtime on Saturday and 5 hours overtime on Sunday. Calculate:
(a) His basic wage
(b) His overtime wage
(c) His gross wage for the week.
3. At a chemical factory, the basic week is 40 hours. During a particular week Mr. James earned a gross wage of $518.00, but $148.00 was for overtime.
(a) Calculate Mr. James basic rate of payment.
(b) If overtime was paid for at double-time,calculate how many hours Mr. James worked overtime.
Answer:
Step-by-step explanation:
1. reg pay: 8.96,week days: 1.5 overtime pay, sat: double pay, sun: triple pay
38 hrs regular pay : 38 * 8.96 = 340.48
15 hrs overtime during week : 15 * 1.5(8.96) = 15 * 13.44 = 201.60
3 hrs overtime on saturday: 3 * 2(8.96) = 3 * 17.92 = 53.76
2 hrs overtime on sunday: 2 * 3(8.96) = 2 * 26.88 = 53.76
Gross wage = (340.48 + 201.60 + 2(53.76) = 649.60 <====
===============================
2. reg pay : 14.60, weekday pay: 1.25,sat pay: 1.5 , sun pay: double
(a) basic wage = 40(14.60) = 584 <==
(b) overtime wage : 15 * 1.25(14.60) + 6 * 1.5(14.60) + 5 * 2(14.60) = (15 * 18.25) + (6 * 21.9) + (5 * 29.2) = 273.75 + 131.40 + 146 = 551.15 <==
(c) gross wage : 584 + 551.15 = 1135.15 <==
================================
3. basic work wk: 40 hrs...earned 518...overtime 148
(a) basic pay rate : (518 - 148) / 40 = 370/40 = 9.25 per hr <==
(b) if overtime is paid for at double time.....so overtime pay is (2 * 9.25) = 18.50 per hr....and he got paid 148....148/18.5 = 8 hrs <==
The gross wage of the man who worked overtime from Monday to Friday, on Saturday, and on Sunday is $582.40.
Explanation:In order to determine the gross wage of the man, we need to calculate the wages for each type of overtime worked. Let's start with the basic wage calculation for each scenario:
Question 1:
The man worked 15 hours overtime on week-days, so he will receive 15 x 8.96 = $134.40 for week-day overtime.
He also worked 3 hours overtime on Saturday, so he will receive 3 x (2 x 8.96) = $53.76 for Saturday overtime.
Lastly, he worked 2 hours overtime on Sunday, so he will receive 2 x (3 x 8.96) = $53.76 for Sunday overtime.
Now let's calculate the gross wage by adding the basic wage and the overtime wages together:
Gross Wage = Basic Wage + Week-day Overtime Wage + Saturday Overtime Wage + Sunday Overtime Wage
= (38 x 8.96) + 134.40 + 53.76 + 53.76
= $340.48 + $134.40 + $53.76 + $53.76
= $582.40
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Jackson decided to exercise. He has at most 45 minutes to exercise and he wants to burn at least 400 calories. He burns 10.4 calories per minutes.
Answer: 38.46
Step-by-step explanation:
400/10.4= 38.46
Amanda has 5 pieces of wire that are each 15.5 feet long . She wants to cut the wire into 3.5 feet long pieces. Any extra wire will be considered scrap . How much scrap will Amanda have ?
Keith’s dad is 44 years old if this is 4 years less than three times Keith’s age how old is Keith
Answer:
13
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
44+4=48
48/3=16
Simplify each expression. (y + 22) + 3
To simplify, remove the parentheses and combine like terms:
( y + 22) + 3
Y + 22 + 3
Answer: Y + 25
solve the linear system of equations using the linear combination method.
4x-9y=20
2x-6y=16
The solution is (-4,4)
Step-by-step explanation:
Given equations are:
[tex]4x-9y = 20\ \ \ \ Eqn1\\2x-6x = 16\ \ \ \ Eqn2[/tex]
In linear combination method, we have to make coefficients of any one variable opposites by multiplying with an integer
So multiplying 2nd equation by -2
[tex]-2(2x-6y=16)\\-4x+6y=-32\ \ \ \ Eqn3[/tex]
Adding Equation 1 and Equation 3:
[tex]4x-9y-4x+12y = 20-32\\3y = -12[/tex]
Dividing both sides by 3
[tex]\frac{3y}{3} = \frac{-12}{3}\\y = -4[/tex]
Putting y=-4 in equation 1
[tex]4x-9(-4) = 20\\4x +36= 20\\4x = 20-36\\4x = -16[/tex]
Dividing both sides by 4
[tex]\frac{4x}{4} = \frac{-16}{4}\\x = -4[/tex]
Hence,
The solution is (-4,4)
Keywords: Linear combination, linear equations
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Henry is hosting a party at his house, and his guests have requested pizza. He invites four of his best friends and two new friends from his class. If Henry and his friends eat 2/8 slices of pizza, how many pizzas should Henry order? Solve and explain your thinking using mathematical reasoning