According to Belgium's 2018 Labor data: Number of employed= 1300, Number of unemployed = 300, Adult population =3,000. The unemployment rate of Belgium in 2018 was
a.10%
b.13%
c.18.75%
d.63.3%.
calculate the Geometric mean for the
distribution 8, 6, 3, 5 and 4
Answer:
Step-by-step explanation:
The geometric mean is the average of the 5 numbers
8 + 6 + 3 + 5 + 4 Just add.
Total = 26
There are 5 elements, so the average = 26/5 = 5.2
Drag the descriptions of each investment in order from which will earn the least simple interest to which will earn the most simple interest.
Answer:
Hello! I know I am a bit late but for those who come here in the future,
This is the order (Least to Greatest)
1) 1,500 at 8% simple interest for 6 years
2) 1,500 at 6% simple interest for 10 years
3) 1,500 at 8% simple interest for 10 years
Hope this helps!
In situation 3, a person will earn the least simple interest in situation 1, a person will earn the most simple interest.
What is simple interest?It is defined as the interest based on the principal amount, it does not include the compounded amount. The interest calculates on the initial amount or borrowed amount.
It is given for the three cases as,
P =$1500, R=8% , T = 10 years
P =$1500, R=8% , T = 6 years
P =$1500, R=6% , T = 10 years
The formula for the simple interest is,
Case 1,
SI = (P×R×T) / 100
SI = (1500×8×10)/100
SI = $ 1200
Case 2,
SI = (P×R×T) / 100
SI = (1500×6×10)/100
SI = $ 900
Case 3,
SI = (P×R×T) / 100
SI = (1500×8×6)/100
SI = $ 720
The simple interest for cases 1, 2, and 3 will be $ 1200, $ 900, and $ 720.
Thus, in situation 3, a person will earn the least simple interest in situation 1, a person will earn the most simple interest.
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The position of an object at any time t is given by
s(t)=3t4−40t3+126t2−9
.
1 Determine the velocity of the object at any time t.
2 Does the object ever stop changing?
3 when is the object moving to the right and when is the object moving to the left
Answer:
Step-by-step explanation:
I will ASSUME that your equation is
s(t) = 3t⁴ - 40t³ + 126t² - 9
1) velocity is the derivative of position
v(t) = s'(t) = 12t³ - 120t² + 252t
2) changing what? position? velocity? acceleration? gender? color?
position No the plot is continuous
velocity Yes both magnitude and direction. Zeros at t = 0, 3, and 7 s
acceleration Yes, both magnitude and direction. Zeros at approx. t = 1.306 and 5.361 s
gender? who knows
color? probably.
3) velocity is positive (moving to the right on a standard number line) for
0 < t < 3 and t > 7
Moves to the left for
t < 0 and 3 < t < 7
1. the velocity of the object at any time "t" is v(t) = 12t³ - 120t² + 252t.
2. the object stops changing at t = 6 and t = 3.5.
3. the object is moving to the right in the interval 0 < t < 3.5 and moving to the left in the interval t > 6.
To determine the velocity of the object at any time "t," we need to find the derivative of the position function "s(t)" with respect to "t."
1. Velocity of the object at any time "t":
The velocity is the rate of change of position with respect to time, which is given by the derivative of the position function, s(t).
s(t) = 3t⁴ - 40t³ + 126t² - 9
To find the velocity function, we take the derivative of s(t) with respect to t:
v(t) = d/dt (3t⁴ - 40t³ + 126t²- 9)
v(t) = 12t³ - 120t² + 252t
So, the velocity of the object at any time "t" is v(t) = 12t³ - 120t² + 252t.
2. Does the object ever stop changing?
The object stops changing when its velocity becomes zero. To find when the velocity is zero, we need to solve the equation v(t) = 0.
12t³ - 120t² + 252t = 0
Now, we can factor out common terms:
t(12t² - 120t + 252) = 0
Now, set each factor equal to zero and solve for "t":
1st factor: t = 0
2nd factor: 12t² - 120t + 252 = 0
To solve the quadratic equation, we can either factor it further or use the quadratic formula. Factoring the quadratic equation gives us:
(t - 6)(12t - 42) = 0
Setting each factor to zero:
1. t - 6 = 0
t = 6
2. 12t - 42 = 0
12t = 42
t = 3.5
So, the object stops changing at t = 6 and t = 3.5.
3. When is the object moving to the right and when is the object moving to the left?
The object is moving to the right when its velocity (v(t)) is positive, and it is moving to the left when its velocity (v(t)) is negative.
Let's analyze the velocity function
v(t) = 12t³ - 120t² + 252t
To find the intervals where the object is moving to the right or left, we need to determine when v(t) is positive or negative.
1. Find critical points by setting v(t) = 0 and solving for "t":
12t³ - 120t² + 252t = 0
As we already found earlier, the critical points are t = 6 and t = 3.5.
2. Test each interval created by these critical points using test points to determine the sign of v(t) in those intervals.
Pick a value of "t" in each of these intervals:
- When t < 3.5 (e.g., t = 0),
- When 3.5 < t < 6 (e.g., t = 4),
- When t > 6 (e.g., t = 7).
Now, substitute these test values into the velocity function v(t):
- v(0) = 12(0)³ - 120(0)² + 252(0) = 0
- v(4) = 12(4)³ - 120(4)² + 252(4) = 192
- v(7) = 12(7)³ - 120(7)² + 252(7) = -588
Based on the test points, we can conclude:
- The object is moving to the right when 0 < t < 3.5 (positive velocity).
- The object is moving to the left when t > 6 (negative velocity).
Therefore, the object is moving to the right in the interval 0 < t < 3.5 and moving to the left in the interval t > 6.
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Convert 244 16 to decimal:
Answer:
15.25 is your answer
Step-by-step explanation:
Answer:
I know it’s already been answered but I got 15.25
Step-by-step explanation:
Mayor distributed 300 sacks of rice. A sack of rice weighs 50 kg. how many grams of rice did the mayor distribute?
Answer:
15,000,000 grams
Step-by-step explanation:
300 * 50 = 15,000kg
kg to grams is *1000
15,000 * 1000 = 15,000,000
Answer:
15,000,000.
Step-by-step explanation:
A country in South America exported 62% of the 315,000 bags of coffee beans they produced in a given year. How many bags did they export? Can someone please help me without a link to go to.
Answer:
195,300
Step-by-step explanation:
62 percent *315000 =
(62:100)*315000 =
(62*315000):100 =
19530000:100 = 195300
Now we have: 62 percent of 315000 = 195300
Question: What is 62 percent of 315000?
Percentage solution with steps:
Step 1: Our output value is 315000.
Step 2: We represent the unknown value with x.
Step 3: From step 1 above,315000=100%.
Step 4: Similarly, x=62%.
Step 5: This results in a pair of simple equations:
315000=100%(1).
x=62%(2).
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
315000/x = 100/62%
Step 7: Again, the reciprocal of both sides gives
x/315000 = 62/100
x=195300
Therefore, 62% of 315000 is 195300
How can you express (15 + 30) as a multiple of a sum of whole numbers with no common factor?
A. 2 x (7.5 + 15)
B. 3 x (5 + 10)
C. 5 x (3 + 6)
D. 15 x (1 + 2)
Answer:
13 24 56 23 56 78 166 Yan Lang po thank
7. Add [-6-2 2] + [-3 2 1].
A. [-9-3-5]
B. [-3 0 3]
C. [-6 0 3]
D. [-9 0 3]
Solve 3h+g=5h-hg for h
Answer: [tex]h=\frac{-g}{g-2}[/tex]
Step-by-step explanation:
Let's solve for h.
[tex]3h+g=5h-hg[/tex]
Step 1: Add [tex]gh[/tex] to both sides.
[tex]g+3h+gh=-gh+5h+gh[/tex]
[tex]gh+g+3h=5h[/tex]
Step 2: Add [tex]-5h[/tex] to both sides.
[tex]gh+g+3h+-5h=5h+-5h[/tex]
[tex]gh+g-2h=0[/tex]
Step 3: Add [tex]-g[/tex] to both sides.
[tex]gh+g-2h+-g=0+-g[/tex]
[tex]gh-2h=-g[/tex]
Step 4: Factor out the variable [tex]h[/tex].
[tex]h(g-2)=-g[/tex]
Step 5: Divide both sides by [tex]g-2[/tex].
[tex]\frac{h(g-2)}{g-2} =\frac{-g}{g-2}[/tex]
[tex]h=\frac{-g}{g-2}[/tex]
Answer:
[tex]h=\frac{-g}{g-2}[/tex]
For each value of v, determine whether it is a solution to 59 = 3 - 7v.
Answer:
[tex]59=3-7v[/tex]
Subtract 3 from both sides:
[tex]59-3=3-7v-3[/tex]
[tex]56=-7v[/tex]
[tex]-7v=56[/tex]
[tex]v=-8[/tex]
-8 is the only solution.
Answer:
well I think it's -6
Step-by-step explanation:
7×-6=-42+3=39
Multiply.
(−3 6/7)⋅(−3 1/3)
What is the product?
Enter your answer as a simplified mixed number in the box.
9514 1404 393
Answer:
12 6/7
Step-by-step explanation:
The product of two negative numbers is positive, so we can ignore the signs.
(3 6/7)(3 1/3) = (3)(3) +(3)(1/3) +(6/7)(3) +(6/7)(1/3)
= 9 + 1 + 18/7 + 2/7
= 10 + 2 4/7 + 2/7
= 12 6/7
Solve the system, or show that it has no solution.
10x + 4y = 14
15x + 6y = 21
Answer:
Step-by-step explanation:
(6)10x + 4y = 14(6)
4(15x + 6y) = 21(4)
60x + 24y = 84
60x + 24y = 84
It has infinite, as if this were to be graphed the lines would overlap.
How long would it take to earn Php 8,000 on a principal of Php 20,000 at 5% simple interest rate?
The length of time it would take the given principal to become Php 8,000 is 8 years.
The formula that would be used to determine the length of time it would take Php 20000 to accumulate an interest of Php 8000 can be determined using this formula:
Time = Interest earned / (principal x interest rate)
8000 / (20,000 x 0.05)
= 8 years
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SIMPLIFIED POLYNOMIALS. Combine all the similar terms of each polynomial
1. 4x + 2x - 3x
2. 10xy + 4y - 8xy + 9y
3. 6x2 + y - 8x2 + 2 + 3y
4. 14a3 - a2 + 3a2 - 16a3 + a2
5. -5pq2 + 3pq2 - p2q + pq2 - 7p2q
Answer:
1. 3x
2. 2xy+13y
3. -2x^2+4y+2
4. -2a^3+3a^2
5. -2pq^2-7p^2q
Liam and Michael are going to play video games this afternoon. Together, they have 38 video games. If they decide to randomly choose two video games, what is the probability that the two they choose will consist of each of their favorite video games? Assume they have different favorites. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
Answer:
1 million
Step-by-step explanation:
1 +1 +2 with 36 video game
36(2)=82
I need help , how do we know if the graph are positive or negative
Answer:
The negatives are at the bottom and the positives are at the top, if you need help with the (x,y) let me know!!!
Step-by-step explanation:
Answer:
right and above side of graph are positive
and
left and bottom side of graph are negative
Jill had some candy to give to her five
children. She first took seven pieces for
herself and then evenly divided the rest
among her children. Each child received
five pieces. With how many pieces did
she start?
A new yo-yo factory is operating at 80%
of capacity and produces 4,000 yo-yos
daily. When the factory reaches 100%
of capacity, how many yo-yos should be
produced each day?
Answer:
5,000 yoyos per day
Step-by-step explanation:
80 x 1.25 = 100
4,000 x 1.25 = 5,000
How many arrangements can be made for the letters in the word TROTTING? In how many of these are N and G next to each other.
Answer:
6720.
1680.
Step-by-step explanation:
There are 3 T's and 5 other distinct letters in this word s
The number of arrangements
= 8! / 3!
= 8*7*6*5*4
= 6720 ways.
If N and G are next to each other we consider it to be 1 letter. Now we can have GN or NG so the answer is
(7!/3!) * 2
= 1680 ways.
HELP PLEASE!!
Use the drop-downs to complete the sentences about this arithmetic sequence.
32, 41, 50, ...
The common difference is ___.
The fourth term is ______
The fifth term is ______
Answer:9,59,68
Step-by-step explanation:
Just got it right
Susie has read 52 pages of an 80- page book. What is the percentage of the pages that susie has not read?
Answer:
35%
Step-by-step explanation:
52/80=0.65
0.65x100=65
65% is the percent that she has read.
100%-65%= 35%
She has not read 35% of the pages.
Answer:
She hasn't read 35% of the book
Step-by-step explanation:
1st way: Since 80 pages represent 100%
52 pages represent 100 * 52 / 80 = 65% pages read
100 - 65 = 35 pages page not read.
2nd way: 80 - 52 = 28 pages not read
28 pages represent 100 * 28 / 80 = 35% pages not read
Help help help help help help help help help
Answer:
A'(-2,3) B'(-1,1) C'(-4,0)
Step-by-step explanation:
Translating just means adding whatever numbers to each coordinate. Point A translated from (3,0) to (-2,3) because 3-5 is -2 and 0+3 is 3.
B. DIRECTION: Read and analyze each problem. Give the best answer you can give in order to solve the problem
1. what is asked in the problem?____________________
2. What operation are you going to use to slove the problem?________
3. Show your solution___________________
Answer:
1: How much longer did he run than walk.
2: Subtraction
3: 1/8 hour
Step-by-step explanation:
1: The last sentence says what is being asked.
2: We want to see how much longer something is so it is subtraction.
3: 3/4 = 6/8 7/8 - 6/8 = 1/8
Give the two missing numbers in the following sequences.8,9,11,14,?,23,?
Answer:
18 and 29
Step-by-step explanation:
8+0=8
8+1=9
9+2=11
11+3=14
14+4=18
18+5=23
23+6=29
As you can see, the number that you add to the previous number in the sequence is increased by 1 as the sequence grows in length. The number added goes from 0 to 1 to 2 to 3 and so on. :-)
100 POINT QUESTION!!!!!!!!!!!!!!!!!!!!!!!
Find the solution(s) of the system of equations.
y = –x2 + 2
y = x2 + 4x + 4
Question 16 options:
A)
(1, 1)
B)
(–1, 1) and (1, 1)
C)
(–1, 1) and (0, 2)
D)
(–1, 1)
Answer:
D) (–1, 1)
Step-by-step explanation:
The solutions can be found by equating the expressions for y, then solving for x. The y-value(s) can then be found using the solutions for x.
y = y
-x² +2 = x² +4x +4
2x² +4x +2 = 0 . . . . . . . . . add x² -2
2(x +1)² = 0 . . . . . . . . . factor
x = -1 . . . . . . . . . . one solution that makes the factors zero
y = -x² +2 = -(-1)² +2 = -1 +2 = 1
The only solution is (x, y) = (-1, 1).
4 and 3x - 2 are both---------------- of 12x-8?
Thank you
_8+5 I need helpplz
Answer:
8 plus five is 13..
Step-by-step explanation:
Help me solve this problem, i already did it but i want to be sure it’s right
Answer:
Would be C
Step-by-step explanation:
Because they need slope intercept
What is the property used and the solution 4.(-3).5
Answer:
60
Step-by-step explanation:
using the bodmas
multiply 4 by -3
then multiply with 5