Answer:
3.4%
Step-by-step explanation:
For given problem:
P=8000
n=2*12=24 compounding perods
A=12000
A/P=(1+i)^24
12000/8000=(1+i)^24
1.5=(1+i)^24
take log of both sides
log1.5=24log(1+i)
log1.5/24=log(1+i)
.007337=log(1+i)
10^(.007337)=1+i
1+i=1.017
i=1.017-1=.017 (interest rate per compounding period)
annual interest rate=2*.017=.034 or 3.4%
Consider the expression 40+24 Find the greatest common factor of the two numbers and rewrite the expression using the distributive property
Answer:
Greatest Common Factor of 40+24 is 8
Rewriting the expression using the distributive property we get 8(5+3) =8(5)+8(3)
Step-by-step explanation:
We need to F=find the greatest common factor of the two numbers 40+24 and rewrite the expression using the distributive property
Greatest Common Factor:The greatest number that is divisible by both numbers is known as greatest common factor.
So, Greatest Common Factor of 40+24 is 8
Now, Taking 8 common we get: 8(5+3)
Distributive property:It is written as: a(b+c) = ab+ac
So, we have 8(5+3) =8(5)+8(3)
Rewriting the expression using the distributive property we get 8(5+3) =8(5)+8(3)
i can you help me build the equation
i can graph it though :)
Answer:
x + 5y ≤ 30
Step-by-step explanation:
Calculate a rough estimate of the total lineal footage of lumber needed for a rectangular house 35’ x 40’?
A. 375’
B. 1,500’
C. 3,000’
D. 750’
Answer:
B. 1,500’
Step-by-step explanation:
Given;
dimension of the rectangular house, = 35’ x 40’
The actual total linear footage of lumber needed = 35’ x 40’ = 1,400'
The rough estimate should be greater than the actual estimate in 100s;
rough estimate = 1,400' + 100' = 1,500'
Therefore, the rough estimate of the total linear footage of lumber needed is 1,500'.
A submarine spots a speedboat on the
surface of the water at a 42° angle of
elevation. The sub and the boat are
separated by a straight line distance of
35 feet. How far beneath the surface is
the submarine traveling?
Answer:
Ships A and B are 1,425 feet apart and detect a submarine below them. The angle of depression from ship A to the submarine is 59°, and the angle of depression from ship B to the submarine is 47°.
How far away is the submarine from the two ships? Round to the nearest hundredth of a foot.
The distance from ship A to the submarine is about
feet.
The distance from ship B to the submarine is about
feet.
Step-by-step explanation: answer this and ill answer yours.
The table shows the amount of gasoline g (in gallons) left in your tank after you travel m miles.
Miles, m Gallons, g
0 20
20 19
40 18
60 17
A) Write a linear function that relates the amount of gasoline to the traveling distance.
B) How many gallons of gasoline are left after you drive 120 miles?
Answer:
A) [tex]y=-\frac{1}{20}x+20[/tex]
B) 14 gallons of gasoline
A linear function that relates the amount of gasoline to the traveling distance is : y = - (1/20)x + 20 and the gallons of gasoline left after you drive 120 miles will be 10 gallons.
What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.equation modelling : Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis and results of the given problemGiven is a table shows the amount of gasoline [g] (in gallons) left in your tank after you travel [m] miles.
The given table is -
Miles [m] Gallons [g]
0 20
20 19
40 18
60 17
We can write the linear function as -
y = mx + c
We can write the slope as -
m = {(19 - 20)/(20 - 0)}
m = (- 1/20)
At [x] = 0, then [y] = 20. So, the equation will be -
y = (-1/20)x + 20
y = - (1/20)x + 20
At [x] = 120 miles -
y(120) = (-1/20 x 200) + 20
y(120) = - 10 + 20
y(120) = 10 gallons
Therefore, a linear function that relates the amount of gasoline to the traveling distance is - y = - (1/20)x + 20 and the gallons of gasoline left after you drive 120 miles will be 10 gallons.
To solve more questions on functions, expressions and polynomials, visit the link below -
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I need the answer asappp
- this is a proportion so you can cross multiply to find the answer.
162.5 25
--------- = ---------
x 54
162.5(54) = 25x
8775 = 25x
x = 351
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Brandy made $58,474 this past year. She spent half of it on her bills and spent $15,545 on a new car. After all of Brandy’s expenses, how much does she have left?
Divide 2.875x10^6by2.3x10^3
Answer:
1875L = 1.875x10^6 mL
multiply by density to get 2.14x10^6
multiply by percentage to get 6.63x10^4 g of NaCl (66.3 kg)
Step-by-step explanation:
Alles Company uses a job costing system that applies factory overhead on the basis of direct labor dollars. No job was in process on February 1. During the month of February, the company worked on these three jobs:
Job Number
B10 C44 G15
Direct labor ($6/hour) $ 35,000 ? $ 10,500
Direct materials 43,000 62,000 ?
Overhead applied ? 22,000 5,250
During the month, the company completed and transferred Job B10 to the Finished Goods Inventory. Jobs C44 and G15 were not completed and remain in Work-in-Process at the cost of $158,650 at the end of the month. Actual factory overhead costs during the month totaled $40,000.
Required:
1. What is the predetermined factory overhead rate?
2. Compute the amount of underapplied or overapplied overhead for February.
Questions to answers are below:
Question 1:
What is the predetermined factory overhead rate? (round answer to 2 decimal places.)
Overhead rate____?____ per direct labor dollar.
Question 2:
Compute the amount of underapplied or overapplied overhead for February. (Do not round intermediate calculations.)
Overapplied overhead ____?_____.
Answer:
The labor force participation rate and the employment-population ratio were both unchanged over the month, at 61.5 percent and 57.4 percent, respectively. These measures are up from their recent April lows but are lower than in February by 1.8 percentage points and 3.7 percentage points, respectively.Jan 8, 2021
www.bls.gov › pdf › empsitPDF
Unemployment - Bureau of Labor Statistics
write the interval expressing all real numbers less than or equal to 0 or greater than or equal to 1 using interval notation.
Answer:
The requited interval is:
(-∞, 0] U [0, ∞)Step-by-step explanation:
We have to write two intervals in our case:
The first interval must highlight all real numbers less than or equal to 0.
Therefore,
This interval starts at -∞ and ends at 0, which is written as: (-∞, 0]
The second interval must highlight all real numbers greater than or equal to 0.
Therefore,
This interval starts at 0 and ends at ∞, which is written as: [0, ∞)
But, we have to combine these two sets. We can achieve this by placing the union symbol 'U' between the two intervals.
Therefore, the requited interval is:
(-∞, 0] U [0, ∞)Create a dot plot for the given set of data.
1 2 2 3 3 4 4 4 4 5 5
5 5 6 6 6 6 7 7 8 8 8
hope this helps. let me know if you can see what i have attached.
The box- plot is attached below.
What is dot- plot?Data points are represented as dots on a graph with an x- axis and y-axis in a dot plot, sometimes referred to as a strip plot or dot chart, which is a straightforward type of data visualisation. These kinds of graphs are employed to visually represent particular data trends or groupings.
Given:
1 2 2 3 3 4 4 4 4 5 5
5 5 6 6 6 6 7 7 8 8 8
Now, 1 Appears 1 time
2 Appears 2 time
3 Appears 2 time
4 Appears 4 time
5 Appears 4 time
6 Appears 4 time
7 Appears 2 time
8 Appears 3 time
Learn more about dot- plot here:
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PLEASE HELP IM GONNA FART HELP ME what is the prime exponent form of 192
Answer:
2^6 * 3
Step-by-step explanation:
Answer:
2^6x3
Step-by-step explanation:
its 2 to the power of 6. Then multiply it by 3
Given f(x)=-5x+2, find f(6)
Estimate the answer by rounding each fraction to the nearest whole number and then subtracting.
Answer:
5
Step-by-step explanation:
estimated would be 8 - 3
To solve the problem we must know about fractions.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction [tex]\frac{1}{4}[/tex] can be described as 0.25
What is a Mixed Fraction?A mixed fraction is a fraction that contains a whole number and a fraction whose denominator is greater than the numerator.
The solution to this problem is [tex]5\dfrac{13}{40}[/tex].
Given to us
[tex]8\frac{1}{5}-2\frac{7}{8}[/tex]
Converting the mixed fractions to fraction
[tex]8\dfrac{1}{5}-2\dfrac{7}{8}\\\\=\dfrac{(8 \times 5)+1}{5}-\dfrac{(8\times 2)+7}{8}\\\\=\dfrac{41}{5}-\dfrac{23}{8}\\\\[/tex]
Taking LCM,
[tex]=\dfrac{41\times 8}{5\times 8}-\dfrac{23\times 5}{8\times 5}\\\\=\dfrac{328}{40}-\dfrac{115}{40}\\\\=\dfrac{328-115}{40}\\\\=\dfrac{213}{40}[/tex]
Converting to Mixed Fractions,
[tex]=5\dfrac{13}{40}[/tex]
Hence, the solution to this problem is [tex]5\dfrac{13}{40}[/tex].
Learn more about Fraction:
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Pls help I need a good grade
Answer:
y=3/2x
Step-by-step explanation:
Slope is 3/2 and starts at the origin.
What is the value of 599 x (400+37)?
Answer:
261763
Step-by-step explanation:
599*437
=261763
Reflect
Allie and Roman are trying to graph the blue line shown
on the left. Only one of them has a correct answer.
Allie entered this equation: y = 2x - 8
Roman entered this equation: y = -2r + 8
+
Who is correct?
Allie
Roman
Answer:Step-by-step explanation:
Solve for y in the equation C = 5x² +y
Answer:
y=C-5x^2
Step-by-step explanation:
I NEED HELP IMMEDIATELY!!!!
I am doing this for math homework and don't know if these equations are proportional or not!
25 points available!
Answer: Looks Proportional
Answer:
The first one is proportional but the second one is not proportional
Step-by-step explanation:
Hope this helps!
Complete the recursive formula of the arithmetic sequence 12, 10, 8, 6,...12,10,8,6,...12, comma, 10, comma, 8, comma, 6, comma, point, point, point.
b(1)=b(1)=b, left parenthesis, 1, right parenthesis, equals
b(n)=b(n-1)+b(n)=b(n−1)+b, left parenthesis, n, right parenthesis, equals, b, left parenthesis, n, minus, 1, right parenthesis, plus
Complete Question:
Complete the recursive formula of the arithmetic sequence 12, 10, 8, 6, ....
[tex]b_1 = [\ ][/tex]
[tex]b_n = b_{n - 1} + [\ ][/tex]
Answer:
[tex]b_1 = 12[/tex]
[tex]b_n = b_{n-1} - 2[/tex]
Step-by-step explanation:
Required
Complete:
[tex]b_1 = [\ ][/tex]
[tex]b_n = b_{n - 1} + [\ ][/tex]
From the question, the first term is 12.
So:
[tex]b_1 = 12[/tex]
Solving further:
[tex]b_2 = 10 = 12 - 2 = b_1 - 2[/tex]
[tex]b_3 = 8 = 10 - 2 = b_2 - 2[/tex]
[tex]b_4 = 6 = 8 - 2 = b_3 - 2[/tex]
Following the above sequence:
[tex]b_n[/tex] can then be calculated as
[tex]b_n = b_{n-1} - 2[/tex]
if three distinct numbers have a sum of 10 and a product of 20, what is their median
Answer:
gfdsgfds
Step-by-step explanation:
fdgdsf
The combined of a pair of congruent rectangles can be represented in square units by the expression 18y^2 - 8
Answer:
2(3y+2)(3y−2)
Step-by-step explanation:
Any help? Bsbhsjsjsjjsjsjsjsjjsjsjsjsjsjsjs
in 116th congress, the senate consists of 25 women and 75 men. if 3 different senators are randomly selected, what is the probability that they are all men
Answer
53
Step-by-step explanation:
75-15=50+3=53
Need today right nowvery easy
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Answer:
thanks
Step-by-step explanation:
your welcome
Which equation has a graph parallel to the graph of 9x + 3y =22?
Answer:
y = -3x + 8.3
Step-by-step explanation:
You need to rearrange 9x + 3y = 22 in the form y = mx +c.
9x+3y = 22
3y = -9x +22
y = -3x + 7.3
As long as the gradient is the same, the lines will be parallel. So you can give any number to the intercept (in this case I gave 8.3) and you will have parallel equations.
9
Are the expressions below equivalent? How do you know?*
(3 Points)
8x + 16 versus 4(2x + 4)
Enter your answer
Answer:
Step-by-step explanation:
these expressions are equivalent
4(2x+4)= 8x+16 after multiplying 4 with 2x+4
Answer:
yes
Step-by-step explanation:
Yes. If I substitute a number for x, the result is the same.
Can someone finish this!!! Quickly!!!!
Answer: A linear function always has a rate of change.
Step-by-step explanation: In the first table, the function is linear since both the x and y values increases by a constant number. Each time the x value increases by 1, the y value increases by 5.
In the second table, the y value does not change by a constant number.
For example, the first time, the y value increases by 6, then it increased by 2, then by 4. This means the second table is non-linear since the rate of change isn't constant.
A solution set always includes
A
all the numbers that make the inequality false.
B
all the numbers that make the inequality true.
zero and infinity.
D
negative infinity
Answer:
B, all the numbers make the inequality true:).
Step-by-step explanation: