Answer:
Part A
30
44
26
Part B
176
Step-by-step explanation:
Total: 65+110+75 = 250
P(O) = 75/250 × 100 = 30%
P(A) = 110/250 × 100 = 44%
P(K) = 65/250 × 100 = 26%
Apple juice:
44% of 400
44/100 × 400
176
Mr. Morris asked Rob to shovel the snow from his driveway every day that it snowed during the month of January. He agreed to pay Rob $0.01 for the first day, $0.02 for the second day, $0.04 for the third day, $0.08 for the fourth day, and so on. If it snowed for 13 days in January, how much would Mr. Morris pay Rob on the 13th day?
Do not answer if you do not know. Only good answers with explanations.
Answer:
Total amount to be paid on 13th day is $40.96.
Step-by-step explanation:
Mr. Morris pays Rob $0.01, $0.02, $0.04 ..... on 1st, 2nd , 3rd .... day respectively.
We can clearly see that the next number is becoming double of the previous value.
The above sequence of numbers are in a Geometric Progression with
First term, a = 0.01 and
Common ratio, r = 2
We have to find the total amount paid on 13th day.
We know that the [tex]n^{th}[/tex] term of a GP is given by:
[tex]a_{n} =ar^{n-1}[/tex]
Where, a is the first term of GP
r is the common ratio
We have to find the [tex]13^{th}[/tex] term of the GP as per question statement.
Putting the values in the formula above:
n = 13
a = 0.01 and
r = 2
[tex]a_{13} = 0.01 \times 2^{13-1}\\\Rightarrow 0.01 \times 2^{12} \\\Rightarrow 0.01 \times 4096\\\Rightarrow 40.96[/tex]
Total amount to be paid on 13th day is $40.96.
what is the value of x?
Answer:
16.1
Step-by-step explanation:
please help , 20 points
Answer:
68+4x
-0.3+0.3y
11m + 1n
72 - 12a + 72a
1 3/4h + h/10
Step-by-step explanation:
What is the shape of the graph of the function?
h(t) = 0.32 - 0.5t
Its pretty obvious since the other answer has 1 star, but its B. I got it right on khan academy:)
The correct statement is option A)
What are functions?Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given here: The graph of the function h(t)=0.32-[tex]0.5^t[/tex]
which can be re written as h(t)= [tex]\frac{8}{25}[/tex] - [tex]\frac{1}{2} ^t[/tex]
Thus clearly as the value of t increases or as we move from negative to positive values the graph of the function tends towards zero and is negative for negative values of t.
For instance, at t= -4 we have
8/25 - 16=15.68
and at t=4 we have
8/25 - 1/16 =0.2575
And it intercepts the x-axis at (1.644,0)
Clearly h(t) is smaller for negative values of t and higher for higher values of t and thus has a upward curvature when we input the values from left to right.
Hence, The curve should slowly bend towards x-axis and option A is the correct answer because the graph is higher values for higher values of t.
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Find the measure of the missing angle in the quadrilateral
Answer:
11) x=80
12) x=40
13) x=8
What is the sticker price for a vehicle with the following features and costs: suggested retail price of $13,760, destination charge of $475, equipped with AC, cruise control, and a custom sound system for $800, $235, and $490, respectively?
$15,760
$13,760
$13,370
$11,760
Answer:
15,760
Step-by-step explanation:
I just added all of them...
The sticker price we just need to add all the extras to the suggested retail price. The total sticker price would be $15,760.
What is addition?The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.
To find the sticker price we just need to add all the extras to the suggested retail price:
suggested retail price $13,760
air conditioner $800
cruise control $235
custom sound system $490
destination charge $475
total sticker price = 13,760 + 800 + 235 + 490 + 475
= 15,760
The total sticker price would be $15,760.
The sticker price includes all the extras that the car dealer adds to the MSRP, and is generally the price of ready-to-sell cars.
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Solve the system of linear equations by adding or subtracting.
3x + 7y = −17
4x − 7y = 10
Enter your answer as an ordered pair.
Answer:
3x + 7y = −17
4x − 7y = 10
Add up both sides of 2 equations, then
7x = -7
=> x = 1
=> y =(3 x 1 - 17)/7 = -14/7 = -2
Hope this helps!
:)
You open your first interest-bearing savings account with an initial deposit of
$2,500. Interest is compounded quarterly at a rate of 3.5%. Assuming you do not
deposit any more money into the account, how much money will you have in the
account after 5 years?
Answer:
$2,975.85
Step-by-step explanation:
Lets use the compound interest formula provided to solve this:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
P = initial balance
r = interest rate (decimal)
n = number of times compounded annually
t = time
First, change 3.5% into a decimal:
3.5% -> [tex]\frac{3.5}{100}[/tex] -> 0.035
Since the interest is compounded quarterly, we will use 4 for n. Lets plug in the values now:
[tex]A=2,500(1+\frac{0.035}{4})^{4(5)}[/tex]
[tex]A=2,975.85[/tex]
After 5 years, the account will have $2,975.85
how do i solve this?
Answer:
idk
Step-by-step explanation:
idk
Answer:
that is to hard
Step-by-step explanation:
Determine the values of the variables in isosceles trapezoid CHLE below.
Enter numbers only, do not enter units.
Answer:
The values of variables x and m are 11 and 17
Step-by-step explanation:
The question has missing details as the diagram of the trapezoid isn't attached.
(See attachment).
Given that trapezoid CHLE is isosceles then the angles at the base area equal (4x)
And
The angles at the top are also equal
8m = 11x + 15
At this point, the four angles in the trapezoid are 8m, 11x + 15, 4x and 4x..
The sum of interior= 360
So,
11x + 15 + 8m + 4x + 4x = 360
Collect like terms
11x + 4x + 4x + 8m = 360 - 15
19x + 8m = 345
Substitute 11x + 15 for 8m
19x + 11x + 15 = 345
30x + 15 = 345
30x = 345 - 15
30x = 330
Divide through by 30
30x/30 = 330/30
x = 11
Recall that 8m = 11x + 15;
8m = 11(11) + 15
8m = 121 + 15
8m = 136
Divide through by 8
8m/8 = 136/8
m = 17
Hence, the values of variables x and m are 11 and 17
Declan says that for any number n, the product 4x n is greater than 4. Which value of n shows why Declan is incorrect
Answer:
[tex]n > 1[/tex]
Step-by-step explanation:
Given
Statement: 4x n is greater than 4
Required
Value of n
First we need to rewrite the statement in algebraic form;
Product 4 * n is represented by 4n
greater than 4 is represented by > 4
Bringing these two together, it gives the following
[tex]4n > 4[/tex]
Divide through by 4
[tex]\frac{4n}{4} > \frac{4}{4}[/tex]
[tex]n > 1[/tex]
We've arrive at solution;
This means that n is greater than 1
So, the values of n must start from 2 to show that the condition is true
The value of n = 7/8 makes the inequality 4n > 4 false because 7/8 is less than 1.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.
We have n as a number.
4n > 4
Plug n = 5
20 > 4 (true)
Plug n = 9/5
36/4 > 4
9 > 4 (true)
Plug n = 3
12 > 4 (true)
Plug n = 7/8
28/8 > 4
3.5 > 4 (false)
Thus, the value of n = 7/8 makes the inequality 4n > 4 false because 7/8 is less than 1.
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What are the solutions to the equation?
x2 + 6x = 40
Ox=-10 and x = 4
O x= -8 and x = 5
Ox= -5 and x = 8
x= -4 and x = 10
Answer:
A. x=4 and x= -10
Step-by-step explanation:
x^2 +6× = 40
x^2 +6x -40
(x-4)(x+10)
x-4 = 0
x+10 = 0
x= 4
x=-10
The solutions to the equation are x = -10 and x = 4.
Option A is the correct answer.
What is a solution?Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.
We also find the solution in a system of equations using the substitution or elimination method.
Example:
2x + 4 = 8
The solution is x = 2.
We have,
To solve the equation x² + 6x = 40,
We need to first rearrange it into the standard quadratic form of:
ax² + bx + c = 0.
x² + 6x - 40 = 0
Now, we can factor the quadratic expression or use the quadratic formula to solve for x.
Factoring:
(x + 10)(x - 4) = 0
Setting each factor equal to zero and solving for x gives:
x + 10 = 0 or x - 4 = 0
x = -10 or x = 4
Therefore,
The solutions to the equation are x = -10 and x = 4.
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XYZ Software employed three different salespeople last year. Person 1
earned $3900 in the first quarter, Person 2 earned $20,100 in the first quarter,
and Person 3 earned $6900 in the first quarter. What are the maximum FUTA
deductions for the first quarter?
Answer:
Total FUTA : $669.6
Step-by-step explanation:
Given the information
Person 1 earned $3900 in the first quarter Person 2 earned $20100 in the first quarter Person 3 earned $6900 in the first quarterAs we know, FUTA is short for Federal Unemployment Tax Act, and the FUTA tax rate is 6.2% applied to a maximum cumulative earnings of $7,000.
So in this situation, only person 1 and 2 must pay FUTA tax because ther earning are lower than $7,000.
Person 1: 3900 x 6.2% = $241.8Person 3: 6,900 x 6.2% = $427.8=> Total FUTA : $669.6
Answer:
$1103.60
Step-by-step explanation:
You spin the spinner and flip a coin. Find the probability of the compound event.
The probability of spinning an even number and flipping tails is
Answer:
The answer would be 1/2
Step-by-step explanation:
Heads or tails are 50/50 chances as well as the odd and even numbers.
What are the coordinates of point K?
(-
)
()
Answer:5/8 and 1/4
Step-by-step explanation:
The coordinates of point K can be given by (-1/4, 5/8).
What are cartesian coordinates?Cartesian coordinates are the values on a graph that can be used to show the location of a point on the graph.
The coordinates of point K can be found as follows:There are 4 lines between 0 and -1 on the x-axis which divide it into 4 equal parts.
Point K lies on the first line. This means that the x-coordinate of the point is -1/4.
There are 8 lines between 0 and 1 on the y-axis which divide it into 8 equal parts.
Point K lies on the fifth line. This means that the y-coordinate of the point is 5/8.
From this, we can understand that the coordinates of the point K on the graph can be given by (-1/4, 5/8).
Therefore, the coordinates of point K can be given by (-1/4, 5/8).
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NEED HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
C. l only
Step-by-step explanation:
when the input of the function is -4 what is the output of the function
Answer:
The output is 5
Step-by-step explanation:
-4 is the input (x value). To find the output, you have to find where -4 is on the line. -4 is on the line when 5 is the y coordinate (output).
(1/3)^3 Evaluate the expression. This question is designed to test your intelligence.
Answer:
1/27
Step-by-step explanation:
That means
1/3 * 1/3 * 1/3
1/9 * 1/3
1/27
Answer:
1/27
Step-by-step explanation:
(1/3)^3
1/3*1/3*1/3
1/27
What is the area of a rhombus if one diagonal is 6 centimeters and the other diagonal is 8 centimeters?
Answer:
24 cm²
Step-by-step explanation:
The area (A) is calculated as
A = [tex]\frac{1}{2}[/tex] product of the diagonals, that is
A = 0.5 × 6 × 8 = 24 cm²
The average test mark of the class? mark of a class of 20 student is 65. Twum's mark was recorded as 35 instead of 55. What is the correct average mark of the class
Answer:
66
Step-by-step explanation:
Wrong total mark = 65 * 20 = 1,300
remainder of Tum score to be added= 55-35 = 20
Add this to total = 20 + 1300 = 1320
Correct average score = 1320/20 = 66
Answer:
66
Step-by-step explanation:
(Please help :) Look at the sequence of numbers in each question and write the expression using n (find the nth term, eg, 3n+6)
Answer:
1. 4n+2
2. 2n+2
3. 5n-3
4. 4n+1
5. 3n
That's all I can work out I'm sorry
Solve for y: 12x + 4y = 24
Plz help
A) y=4
B) y=-3x+6
C) y=-1/2x+4
D) y=2x+4
Answer: b
Step-by-step explanation:
What is the area of the triangular part of the flag below
Which are these two, please help
Answer:
4. this would be a positive correlation
5. this has no correlation
Step-by-step explanation:
I hope that was the answer you are looking for
Answer:
The first one has a positive association. You can see that if you were to make a like marking the average rate of change, it would be positive.
For the second one, it would actually be both positive and negative. But Since it does both, it has no correlation.
Step-by-step explanation:
Find the first five multiples of the number 5.
A. 10, 15, 20, 25, 30
B. 5, 10, 15, 20, 25
c. 1, 5, 10, 15, 20
D. 5, 15, 25, 35, 45
Answer:
B. 5,10,15,20,25
Step-by-step explanation:
The first 5 multiples of a number are that number multiplied by 1-5 so
5(1),5(2),5(3),5(4),5(5) so
5,10,15,20,25 so
B. 5,10,15,20,25
Answer:
5,10,15,20,25
Step-by-step explanation:
How do u not know this ur in middle school
AJ is the bisector of ∠HJI. Determine the value of x.
Question 2 options:
A)
12
B)
10
C)
2.5
D)
22.5
The value of x is 2.5 if the AJ is the bisector of ∠HJI option (C) 2.5 is correct.
What is the triangle?In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
We have a triangle shown in the picture.
AJ is the bisector of ∠HJI.
In this case the ratio between the adjacent sides are equal.
[tex]\rm \dfrac{8}{15}=\dfrac{4}{3x}[/tex]
After cross multiplication:
24x = 60
x = 2.5
Thus, the value of x is 2.5 if the AJ is the bisector of ∠HJI option (C) 2.5 is correct.
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A car travels at a constant speed for 45 minutes. During this time the car goes
48 miles. If the car continues at this same constant speed, write an equation that
models the number of miles, m, it will travel in t hours?
How far will the car travel in 7 hours ?
Answer:
IDK
Step-by-step explanation:
Answer: 308
Step-by-step explanation:
sorry if wrong............
If you answer can you write how you solved it?
Answer:
[tex]145.3in^2[/tex]
Step-by-step explanation:
[tex]A_{L} =2\pi rh=2*\pi *2.5*9.25\\=145.3in^2[/tex]
asapppp
What is the lateral area of the rectangular prism
shown below?
a. 128 ft2
b. 135 ft2
c. 238 ft2
d. 504 ft2
Complete the equation of the line whose slope is -2 and y-intercept is (0,-8)
y=
Answer:
y = -2x - 8
Step-by-step explanation:
We want to find the slope-intercept form of this equation. Slope-intercept form is denoted by: y = mx + b, where m is the slope and b is the y-intercept.
We already know that the slope is -2, so that means m = -2.
We also know the y-intercept (or the point where the line crosses the y-axis) is (0, -8), which means b = -8.
Thus, our equation is: y = -2x - 8.
~ an aesthetics lover
y=-2x-8 this should be right i had this same problem before :)
