The decimal form of the number is :
9804.0
What is the decimal number?
Decimals are a form of a number in algebra that has a full integer and a fractional portion separated by a decimal point. The decimal point is the dot that separates the whole number from the fractional element of the number. A decimal number is, for instance, 34.5.
If the question is,
4x1+8 x 100 + 9 × 1000, then simplify it first
4x1+8 x 100 + 9 × 1000=4+800+9000=9804
So, the decimal form is :
9804.0
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Drag each expression to the correct location on the table.
Match each expression to its simplified form.
Answer:
3x-3:
(1/3)(9x-9)
(9/2x - 2) -(3/2x +1)
(3/2x-2) + (3/2x-1)
2x-1:
(7/2 x -2) - (3/2 x - 1)
1/2(4x-2)
Step-by-step explanation:
(7/2 x -2) - (3/2 x - 1)
7/2 x -2 -3/2 x +1 Distribute the negative sign to both terms
4/2 x -1 Combine like terms
2x-1
(1/3)(9x-9)
3x-3 Distributive property
(9/2x - 2) -(3/2x +1)
9/2x -2 -3/2x -1 Distribute negative sign
6/2x -3
3x-3
(3/2x-2) + (3/2x-1)
3/2x -2 +3/2x -1 Can just get rid of parenthesis since everything is added.
6/2x -3
3x-3
1/2(4x-2)
2x-1 Distribute the 1/2 to both numbers
The face value of a simple discount note is $17,000. The discount is 4% for 160 days. Calculate the following. a. Amount of interest charged for each note. (Round your answer to the nearest cent.) b. Amount borrower would receive. (Round your answer to the nearest cent.)
The amount of interest to be charged on the note, based on the face value of the note, is $302. 22.
The amount the borrower would receive is $16, 697. 78.
How to find the interest charged?The interest charged on the simple discount note can be found by the formula:
= Face value of note x discount rate x number of days / total days in a year
= 17, 000 x 4% x 160 / 360
= $302. 22
The amount that the borrower would receive is then:
= Face value of note - Interest charged on note
= 17, 000 - 302.22
= $ 16, 697. 78
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Which expression is equivalent to 3x – 5?
Answer:
2x – 4 – 1 + x
Step-by-step explanation:
Answer:
Step-by-step explanation: -15
7. Wanda's Widgets used market surveys and linear regression to develop a demand function based on the wholesale price. The demand function is q = -140p + 9,000. The expense function is E = 2.00q + 16,000.
a. Express the expense function in terms of p.
b. At a price of $10.00, how many widgets are demanded?
c. How much does it cost to produce the number of widgets from part b?
I am so confused on how to answer these 3 sections, so if anyone could help I would really appreciate it!!
a. The expense function in terms of p is - 280p + 34, 000
b. At a price of $10.00, 7, 600 widgets are demanded
c. It costs $31, 200 to produce the number of widgets from part b
How to determine the valuesWe have that;
The demand function is q = -140p + 9,000The expense function is E = 2.00q + 16,000To express the expense function in terms of p, we have to take the following steps;
Substitute the value of q in the demand function into the function for the expense, we get;
Expense function = 2( -140p + 9,000) + 16, 000
Now, expand the bracket, we get;
Expense function = - 280p + 18, 000 + 16, 000
collect and add like terms
Expense function = - 280p + 34, 000
If p = $10. 00
Then,
Demand function is q = -140(10) + 9,000
expand the bracket
q = - 1400 + 9, 000
q = 7, 600
Substitute q in expense function
E = 2.00q + 16,000
E = 2. 00(7600) + 16, 000
E = $31, 200
Hence, the expense function is - 280p + 34, 000
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What happened to the native economies and cultures of Asia, Africa, and the Americas as a result of the Age of
Exploration?
They joined together to resist the attempts of Europeans to change them.
What was the Age of Exploration What major changes did it cause in the world?People have been captivated by global exploration and learning about new locations and civilizations for thousands of years. Traveling by sea was historically one of the most effective methods of globetrotting. Greeks in antiquity to medieval SpanishKings, because it provided the possibility of new business ventures and trade routes, exploration was a top priority for governments. Spanish ships, for instance, could travel to China and return with Chinese spices and silks (which were not accessible in continental Europe) to sell in Spanish marketplaces.In order to avoid deviating from their intended course, early explorers used a navigational system known as "dead reckoning," which involves calculating their position based on previous positions (such as landmasses). However, this technique may not be an exact science. Exploration became increasingly crucial as far as Europe's economic interests were concerned.Innovative tools that made exploration simpler and more accurate were created.Learn more about Age of Exploration refer to :
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WILL GIVE BRAINLIEST PLEASE HELP!!!!
A cat runs 10 meters north, sees a dog and runs 2 meters back south. It then runs 6 meters west. What is the displacement of the cat and the total distance it ran?
Answer:
The cat is at at 8 north 6 west
Step-by-step explanation:
The cat ran a total of 14 meters
Two triangles are shown below. 3 5 15 9 6 18 Which statement best describes the relationship between the two triangles ? The triangles are not similar all corresponding angles are not equal . The triangles are not similar ; all corresponding sides are not proportional . The triangles are similar ; the similarity ratio is 1: 3. The triangles are similar ; the similarity ratio is 2 :3.
The statement that best describes the relationship between the two triangles is the option;
The triangles are not similar; all the corresponding sides are not proportionalWhat are the conditions for the similarity of two triangles?Two triangles are similar if they satisfy the following conditions.
Two angles of one triangle are congruent to two angles in the other triangle (AA, Angle-Angle similarity postulate)Two sides of one triangle are proportional to two sides of the other triangle and the included angle of the two sides in each triangle are congruent (SAS, Side-Angle-Side similarity postulate)The three sides of one triangle are proportional to the three sides of the other triangle (SSS, Side-Side-Side, similarity postulate)The length of the sides of the triangles are;
First triangle, a₁ = 3, b₁ = 5. c₁ = 15
Second triangle. a₂ = 9, b₂ = 6, c₂ = 18
The ratio of the corresponding sides is therefore;
[tex]\dfrac{a_1}{a_2} = \dfrac{3}{9} =\dfrac{1}{3}[/tex]
[tex]\dfrac{b_1}{b_2} = \dfrac{5}{6}[/tex]
[tex]\dfrac{c_1}{c_2} = \dfrac{15}{18} =\dfrac{5}{6}[/tex]
The ratio of the three corresponding sides of the triangles are not the same such that the corresponding sides of the triangles are not constantly proportional.
Therefore the two triangles are not similar because all the corresponding sides are not proportional.
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I need help please answer
use f(x)=|x|
f(x) is shifted down 4 and right 3 to create h(x)
which answer shows the correct function for h(x)
Answer:
h(x)= |x-3|-4
Step-by-step explanation:
If f(x) = |x| is shifted down 4 and right 3 to create h(x), then h(x) = |x - 3| - 4
The function is given
f(x) = |x|
Translation of the shape mean the displacement of the shape from one place to another place. Some usually used displacements are shifted to right / left and shifted to up / down etc.
First f(x) is shifted down 4
Then the function will become
f(x) = |x| - 4
Then the function shifted right 3
Then the function will be
h(x) = |x - 3| - 4
Hence, if f(x) = |x| is shifted down 4 and right 3 to create h(x), then h(x) = |x - 3| - 4
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How many liters of paint are in a 5 gallon bucket round your answer to the nearest liter
Answer:
19 liters
Step-by-step explanation:
Car A is travelling east at a steady speed .......
Answer:
for 20 miles per hour
Step-by-step explanation:
.
For what value of x is g(x) = 2
Answer:
x = 2
Step-by-step explanation:
For the function g(x) to have to equal only 2, that would have to be for the input, x, to be 2 itself considering there's no equation given.
Hope this helps!
How do I calculate the area and perimeter of this triangle?
Step-by-step explanation:
to find the perimeter first:
13×3=39
13×3=39
5×3=15
5×3=15
39+39+15+15=108
P=108
i hope it's useful
hellp foo You are considering different investment strategies to save for your retirement.
Option 1: You invest $25/ month at a rate of 3.25% APR compounded monthly for 30 years.
Option 2: You invest $75/ quarter at a rate of 4.00% APR compounded monthly for 30 years.
Option 3: You invest $1,000 at a rate of 6.25% APR compounded monthly for 30 years.
1) Which option was the least amount invested and what was the investment plan?
2) Which option yielded the highest amount at the end of the 30 years and what was the basis of the plan?
3) What is the difference in the principal invested for the highest and lowest final balances? What is the difference in the interest earned?
4) Is it better to invest more money in the beginning or the end of the 30 years?
1) Option 3 had the least amount invested. The investment plan was to invest a certain amount in the beginning and let it grow at an interest of 6.25% APR compounded monthly for 30 years.
2) Option 2 yielded the highest amount at the end of 30 years. The plan was to invest $75/quarterly i.e, $25/monthly at an interest of 4.00% APR compounded monthly for 30 years.
3) Difference in principle is $8000 and the difference is interest is $2976.83
4) It is better to invest more at the end of 30 years.
Define interest.
When you borrow money, you must pay interest, and when you lend money, you must charge interest. The most common way to represent interest is as a percentage of a loan's total amount per year. The loan's interest rate is denoted by this proportion.
Solution Explained:
First, let's calculate the amount after adding the compound interest using
[tex]A = P(1 + \frac{r}{n})^{nt}[/tex], where P is principal, r = interest rate, n = number of times interest is compounded monthly, and t = time
After calculation (For Op 1 and 2, the principal is $9000 and 3 is $1000)
Option 1 has $15275.50
Option 2 has $17467
Option 3 has $6489.17
Interest for Option 1 = $6275.50
Interest for Option 2 = $8466
Interest for Option 3 = $5489.17
After this solving the questions will be easy to understand.
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Answer:
contributions:
1 $25/ month at a rate of 3.25% APR
2 $75/ quarter at a rate of 4.00%
3 $1,000 at a rate of 6.25% APR
total interest rate:
1 $6275.50
2 $8466
3 $5489.17
final balances:
1 $15275.50
2 $17467
3 $6489.17
questions 1-4
1: Option 3 had the least amount invested
2: option 2
3: Difference is $8000 – and interest difference in $2976.83
4: it’s better to invest more at the end of 30 years
Step-by-step explanation:
i did the assignment
8x^(3)-27=0
find the roots of x
Answer:
[tex] \sf Root \: of \: x \: are \: \dfrac{3}{2} \: and \: \dfrac{ - 6 \pm \sqrt{ - 108} }{8} [/tex]
Step-by-step explanation:
[tex] \rm \implies 8 {x}^{3} - 27 = 0 \\ \\ \rm \implies (2 \times 2 \times 2) {x}^{3} - (3 \times 3 \times 3) = 0 \\ \\ \rm \implies {(2x)}^{3} - {3}^{3} = 0 \\ \\ \boxed{ \rm {a}^{3} - {b}^{3} = (a - b)( {a}^{2} + ab + {b}^{2} )} \\ \\ \rm \implies (2x - 3)( {(2x)}^{2} + (2x)(3) + {3}^{2} ) = 0 \\ \\ \rm \implies 2x - 3 = 0 \: and \: 4 {x}^{2} + 6x + 9 = 0 \\ \\ \rm \implies x = \frac{3}{2} \: and \: x = \frac{ - 6 \pm \sqrt{36 - 144} }{8} \\ \\ \rm \implies x = \frac{3}{2} \: and \: x = \frac{ - 6 \pm \sqrt{ - 108} }{8} [/tex]
Determine when the function is positive, negative, increasing, or decreasing.
The function is positive and increasing from 0 to 2.5, at negative and decreasing from 0 to -2.5, respectively.
How to find returns to scale?
Returns to scale involves an increase in an output more than when all the inputs increase proportionately.
Using the graph, there is a line segment from the origin to a point. at the middle of the third block making 2.5. this shows an increase which is positive and on the other hand, there is a line segment from the origin towards left hand side on the number line showing a decrease and a negative from 0 to -2.5.
In conclusion, the line pointing upwards towards right hand side shows both positive and increase while the line pointing leftward shows decrease and negative.
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George invest $500 in his friend's startup company. his friend agrees to give him 8% of the original investment each year for the next 3 years. write a linear function for this situation.
The linear function for the situation is :-
Amount at the end of 3 years = Original investment + original investment*Rate*Time/100
It is given in the question that:-
Investment of George's friend in startup company = $ 500.
Interest percent = 8 %
Time period of investment = 3 years
We have to find the linear function for this situation.
As this interest is on original investment, the interest will be simple.
Hence,
The linear function for the situation will be :-
Amount at the end of 3 years= Original investment + original investment*Rate*Time/100
Amount at the end of 3 years = 500 + 500*8*3/100 = 500 + 120 = $ 620
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quotient of 2÷ 3/7 iready
Answer:
6/7
Step-by-step explanation:
2÷3/7=2*3/7
6/7
CLASSIFYING A FUNCTION. Is the function represented by the ordered pairs linear or nonlinear? Explain your reasoning.
A number x is such that dividing the number by 5 and then adding 2 gives the same outcome as adding 22 and then dividing by 10. Write down and solve an equation satisfied by x. Enter your answer in the box below as a number, rounded to one decimal place if necessary.
Answer:
x = 2
Step-by-step explanation:
You want x such that dividing by 5 and then adding 2 gives the same outcome as adding 22 and then dividing by 10.
Setup(x/5) +2 . . . . the value after dividing by 5 and adding 2
(x +22)/10 . . . . the value after adding 22, then dividing by 10
These two outcomes are the same:
x/5 +2 = (x +22)/10
SolutionMultiplying the equation by 10 gives ...
2x +20 = x +22
x = 2 . . . . . . . . . . . . subtract x+20
The number is x = 2.
__
Additional comment
The outcome in each case is 2.4.
What is tan 67 degrees
Two times the sum of a number and 3 is 8.
Use the variable c for the unknown number.
My answer is : 2(c+3)=8
The " is" throwing my brain off, thanks so much
Two times or Twice the sum of a number and 3 is 8. The value of the number will be 1.
Let the value of the unknown number or variable be c.
Given,
"Two times the sum of a number and 3 is equal to 8", which means when you add the unknown number with 3 and then multiply it by 2, then the final answer will come as 8.
If we form the statement into an equation, then finding the value of the unknown variable will be a lot easier.
The equation will be:
2(c + 3) = 8
=> 2c + 6 = 8
=> 2c = 8- 6
=> 2c = 2
=> c = 2/2
=> c = 1.
Hence, the value of the unknown number c will be 1.
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Pls help me, giving brainliest 50 POINTS!
Pls show your work and not only your answers pls
If you can’t answer it then don’t answer but if you can thank you
You will be reported if you put links
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Here we go ~
[tex] \textsf{1. Numbers are : 36, 3, 12 } [/tex]
[tex] \textsf{36 = 2 × 2 × 2 × 2 × 2 × 1} [/tex][tex] \textsf{3 = 3 × 1 } [/tex][tex] \textsf{12 = 2 × 2 × 3 } [/tex][tex] \textsf{HCF = product of total common factors of} [/tex][tex] \textsf{all three numbers, i.e : 2 } [/tex]
[tex] \textsf{LCM = product of highest power of each factor } [/tex][tex] \textsf{present in any three of them,} [/tex][tex] \textsf{i.e : 2⁵ × 3 = 32 × 3 = 96} [/tex]
Similarly,
[tex] \textsf{2. Numbers are : 6, 54, 12} [/tex]
[tex] \textsf{6 = 2 × 3 } [/tex][tex] \textsf{54 = 2 × 3 × 3 × 3 } [/tex][tex] \textsf{12 = 2 × 2 × 3 } [/tex][tex] \textsf{GCD = 2 × 3 = 6 } [/tex]
[tex] \textsf{[ 2 and 3 are the only ones common} [/tex] [tex] \textsf{among all three ]} [/tex]
[tex] \textsf{LCM = 2² × 3³ = 4 × 27 = 108} [/tex]
[tex] \textsf{3. Numbers are : 16, 8, 12 } [/tex]
[tex] \textsf{16 = 2 × 2 × 2 × 2} [/tex][tex] \textsf{8 = 2 × 2 × 2 } [/tex][tex] \textsf{12 = 2 × 2 × 3 } [/tex][tex] \textsf{GCD = 2 × 2 = 4 } [/tex]
[tex] \textsf{LCM = 2⁴ × 3 = 16 × 3 = 48} [/tex]
Answer:
Numbers are : 36, 3, 12
36 = 2 × 2 × 2 × 2 × 2 × 1
3 = 3 × 1
12 = 2 × 2 × 3
HCF = product of total common factors of all three numbers, i.e : 2
LCM = product of highest power of each factor present in any three of them, i.e : 2⁵ × 3 = 32 × 3 = 96
Similarly,
2. Numbers are : 6, 54, 12
6 = 2 × 3
54 = 2 × 3 × 3 × 3
12 = 2 × 2 × 3
GCD = 2 × 3 = 6
[ 2 and 3 are the only ones common among all three ]
LCM = 2² × 3³ = 4 × 27 = 108
3. Numbers are : 16, 8, 12
16 = 2 × 2 × 2 × 2
8 = 2 × 2 × 2
12 = 2 × 2 × 3
GCD = 2 × 2 = 4
LCM = 2⁴ × 3 = 16 × 3 = 48
Expand the brackets in each expression and then
combine like terms where possible.
a -7(7a + 4b) + 10a - 10b
4x-10 y
b 6(2x+6y) -
The expanded form of 7(7a + 4b) + 10a - 10b and 6(2x+6y) will be 59x+18b and 12x+12y.
What is expanded form?
The expanding form can be used to indicate the value of each digit in a number in arithmetic. Numbers that are expressed as the sum of each digit multiplied by its place value are known as expanded numbers.
It is given that,
a) 7(7a + 4b) + 10a - 10b
b) 6(2x+6y) -
a)
[tex]=7(7a + 4b) + 10a - 10b \\\\ =49a+28b+10a-10b \\\\ =49a+10a+28b-10b \\\\ =59a+28b-10b \\\\ =59a+18b[/tex]
b)
= 6(2x+6y) -
=12x+12y
Thus, the expanded form of 7(7a + 4b) + 10a - 10b and 6(2x+6y) will be 59x+18b and 12x+12y.
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Contains the points (5, 3) and (8, 12); slope-intercept form
Answer:
y = 3x + 12
Step-by-step explanation:
y = mx + b
The m is the slope and the b is the y intercept.
Slope:
Change in y over the change in x. The ordered pair is written in the form (x,y)
[tex]\frac{12-3}{8-5}[/tex] = [tex]\frac{9}{3}[/tex] = 3
The slope is 3.
Use the slope of the 3 and the x and y from one of the ordered pairs given. I am going to use the point (5,3), but either point will work
slope 3
x = 5
y=3 Plug these all in and solve for b
y = mx + b
3 = (3)5 + b
3 = 15 + b Subtract 15 from both sides
-12 = b
This is the y intercept
y = 3x - 12
Answer:
Slope-intercept form,
→ y = 3x - 12
Step-by-step explanation:
Formula we use,
→ y = mx + b
The value of slope will be,
→ m = (y2 - y1)/(x2 - x1)
→ m = (12 - 3)/(8 - 5)
→ m = 9/3
→ [ m = 3 ]
Then the value of b will be,
→ y = mx + b
→ 12 = (3)8 + b
→ b + 24 = 12
→ b = 12 - 24
→ [ b = -12 ]
Now the slope-intercept form is,
→ y = mx + b
→ [ y = 3x - 12 ]
Hence, the answer is y = 3x - 12.
How do I solve this question
Answer: [tex]6/(x-7) +( -5)/(x-5)[/tex]
Step-by-step explanation:
Let
[tex](x+5)/(x-7)(x-5) = A/(x-7) +B/(x-5)[/tex]
⇒[tex](x+5)/(x-7)(x-5)=( A(x-5) +B(x-7))/(x-7)(x-5)[/tex]
Comparing both the sides
[tex](x+5)= A(x-5)+B(x-7)\\x+5=Ax-5A+Bx-7B\\x+5= (A+B)x + (-5A-7B)\\[/tex]
Comparing both sides of the equation we get,
[tex]A+B= 1[/tex] ....eq(1)
[tex]-5A-5B=5[/tex] ..... eq(2)
solving eq(1) and eq(2),
we get B=-5 and A=6.
Hence the solution is [tex]6/(x-7) +( -5)/(x-5)[/tex]
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please help I need to find X
Answer:
x = 12
Step-by-step explanation:
if l and m are parallel that means that since the two angles are consecutive interior they add to 180
so add them both and set that to 180
9x - 4 + 5x + 16 = 180
now combine like terms
14x + 12 = 180
subtract 12 from both sides
14x = 168
divide everything by 14
x = 12
that is the answer
Answer:
[tex]\sf x=12^o[/tex]Step-by-step explanation:
Let's find x:-
[tex]\sf 9x-4+5x+16=180^o[/tex]
Combine like terms:-
[tex]\sf 9x+5x-4+16=180[/tex]
[tex]\sf 14x-4+16=180[/tex]
[tex]\sf 14x+12=180[/tex]
Add/Subtract numbers:-
[tex]\sf 14x+12-12=180-12[/tex]
[tex]\sf 14x=168[/tex]
Divide both sides by 14:-
[tex]\sf \cfrac{14x}{14}=\cfrac{168}{14}[/tex]
[tex]\sf x=12^o[/tex]
__________________
Hope this helps!
Have a great day!
Zahra and some friends are going to the movies. At the theater, they sell a bag of
popcorn for $3.50 and a drink for $5. How much would it cost if they bought 8 bags
of popcorn and 5 drinks? How much would it cost if they bought p bags of popcorn
and d drinks?
Total cost, 8 bags of popcorn and 5 drinks:
Total cost, p bags of popcorn and d drinks:
suppose v varies directly as g,and v=36 when x=4.Find v when g=11
Answer:
v = 99
Step-by-step explanation:
given v varies directly as g then the equation relating them is
v = kg ← k is the constant of variation
to find k use the condition v = 36 when g = 4 , then
36 = 4k ( divide both sides by 4 )
9 = k
v = 9g ← equation of variation
when g = 11 , then
v = 9 × 11 = 99
QUESTION 1
1 POINT
To study whether there is a correlation between regular exercise and sleep, a researcher randomly selected 100 people who
exercise regularly and 100 people who do not exercise regularly, and compared how many hours they sleep at night, on
average.
Is the study observational or experimental? If it is an experiment, what is the controlled factor?
Select the correct answer below:
The study is an experiment. The controlled factor is the amount of sleep.
O The study is an experiment. The controlled factor is the amount of exercise.
The study is an observational study.
O The study is an experiment. The controlled factor is the survey.
Since the researcher randomly selected 100 people who exercise regularly and 100 people who do not exercise regularly, and compared how many hours they sleep at night, on average: C. the study is an observational study.
What is an observational study?An observational study can be defined as a type of scientific study in which a researcher observes and measures the effect of a diagnostic test, risk factors, and specific treatments on individuals without intervening, manipulating, altering, or changing those who are or aren't exposed to it (controlled conditions).
In Science, a controlled variable must always be held constant and unchanged in an experiment in order to prevent it from affecting or influencing the result, which is not applicable to this research.
In conclusion, we can logically deduce that this research is an observational study because people (participants) were chosen through an appropriate process, however, no attempt was made to control any aspect of the people (participants), even though the variable of interest (exercise) was recorded for one of the group.
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