[tex] \large \mathfrak{Solution : }[/tex]
According to formula :
[tex] \boxed{ \boxed{simple \: \: interest = \frac{p \times r \times t}{100} }}[/tex]
[tex]6720 = \dfrac{12000 \times 8 \times t}{100} [/tex][tex]6720 = 120 \times 8 \times t[/tex][tex]t = \dfrac{6720}{120 \times 8} [/tex][tex]t = 7\: \: years[/tex]Which interval notation represents the set of all numbers greater than -2 and less
than or equal to 3?
Answer:
yes
Step-by-step explanation:
Answer:
(- 2, 3 ]
Step-by-step explanation:
parenthesis ( ) is used when the end value is not equal
brackets [ ] are used when the end value is equal
Here numbers are greater but not equal to - 2 and less than or equal to 3
(- 2, 3 ] ← is the appropriate interval notation
Can someone please help me it's urgent!
Write a statement about each pair of lines in this construction. (3 statements)
Pls help I am very confused
Answer: 22 weeks to gain $312.
Step-by-step explanation:
Let w be the number of weeks.
Equation: 48 + 12w
48 + 12(22)
= 48 + 264
= $312
It will take 22 weeks for Marty to gain $312.
Solve for d. 2(d − 10) = 18 d =
Step-by-step explanation:
[tex]2(d - 10) = 18 \\ 2d - 20 = 18 \\ 2d = 38 \\ d = \frac{38}{2} \\ d = 19 \\ thank \: you[/tex]
Find the equivalent equation that results from, halving both sides first and then subtracting
1 from both sides. Show each step. You do not have to solve the equation at the end,
Answer:
6x - 1 = 9
Step-by-step explanation:
1. first you have to divide every term in the equation by 2
12x/2 + 4/2 = 20/2
2. simplify
6x + 2 = 10
3. next you have to subtract one from both sides
6x + (2-1) = (10-2)
4. simplify
6x + 1 = 9
Write down the formula of calculating the average of the individual data
What's the area of a room that 18ft by 10ft
Answer:
180square feet
Step-by-step explanation:
Square footage is calculated by multiplying width by length. So if a room is 18 foot wide by 10 foot long, 18 x 10 = 180 square feet.
Answer:
180 square feet
Step-by-step explanation:
if a room 18ft wide by 10ft long.18×10=180 square feet
In your own words, what does supplementary mean?
Answer:
added or serving as a supplement.
Please help ASAP!!!!!!!!!!
Suppose u and v are orthogonal vectors with ||u|| =5 ||u||= 1/2 ||v||, find ||u+v||.
help pleas I will give you 15 points
Answer: 5*sqrt(5)
This is the same as sqrt(125).
It approximates to roughly 11.1803
=========================================================
Explanation:
Vector u is 5 units long as indicated by the notation ||u|| = 5. Some math books would say |u| = 5, and it's the same thing. The double bars are probably more fitting because it helps emphasize we're looking for the length of a vector and we're not using absolute value bars.
The second equation ||u|| = (1/2)*||v|| can be rewritten into ||v|| = 2*||u|| telling us that vector v is twice as long compared to vector u. Since vector u is 5 units long, that must mean vector v is 10 units long.
vector u = 5 units longvector v = 10 units longThe two vectors are orthogonal, i.e. they are perpendicular. The vector u+v represents the diagonal of the rectangle as shown below in the attached image. Vector u is horizontal, v is vertical, and u+v is the diagonal. Technically we don't know where vector u is pointed along a compass (it may or may not be pointing directly east), but I find it's easier to have it set up like this. The answer will be the same regardless of where vector u is pointed. Rotations don't affect vector lengths.
We can see that vector u+v effectively breaks down component-wise into the horizontal component u and vertical component v (think of them as x and y components respectively).
Furthermore, note how there are two right triangles that form when we draw in the diagonal of the rectangle.
To find the length of vector u+v, we apply the pythagorean theorem.
a^2+b^2 = c^2
( ||u|| )^2 + ( ||v|| )^2 = ( ||u+v|| )^2
( 5 )^2 + ( 10 )^2 = x^2
25 + 100 = x^2
125 = x^2
x^2 = 125
x = sqrt(125)
x = sqrt(25*5)
x = sqrt(25)*sqrt(5)
x = 5*sqrt(5) is the length of vector u+v
In other words, ||u+v|| = 5*sqrt(5)
Keep in mind that this trick using the pythagorean theorem only works when vectors u and v are orthogonal. The process to find ||u+v|| for non-orthogonal vectors u,v is a bit more complicated.
is 16 a natural, whole, integer, rational or irrational number?
Answer:
6 is a natural, whole and integer
Step-by-step explanation:
16 is a natural, whole and integer
it is not rational or irrational because
rational numbers are written in p/q as well as irrational
natural numbers start from 1 till infinite
whole numbers start from 0 to infinite
integers include all the positive and negative numbers
Answer:
rational
Step-by-step explanation:
is 2/3greater than 0.67
Answer:
0.67>2/3
Step-by-step explanation:
If you divide 2 by 3, you will end up with 0.6.
Now, you can compare the two numbers 0.6 and 0.67.
help find x for a,b,c and d i will rate thank u
Find a.
Round to the nearest tenth:
а
10 cm
150°
12°
a = [? ]cm
Law of Sines: sin A
sin B
11
sin C
sin C
С
Answer:
a= 24 cm
Step-by-step explanation:
[tex] \frac{ \sin(150) }{a} = \frac{ \sin(12) }{10} \\ a = 24[/tex]
I hope I helped you^_^
What is 3x+5 = 2x+11
The set S = {x\-4 Plz help ASAP
Answer:
[ - 4, 8 ]
Step-by-step explanation:
parenthesis ( ) is used when end values are not equal to x
brackets [ ] are used when the end values are equal to x
For - 4 ≤ x ≤ 8
Then x can equal both - 4 and 8 , so
[ - 4, 8 ] ← is the appropriate interval notation
a. If the average North Korean farmer produces 1,500 pounds of food per year, what is the opportunity cost, In pounds of food, of North
Korea's army?
______ pounds of food per year
b. If a person needs at least 500 pounds of food per year to survive, how many people could have been fed with the forgone food output?
_____ people
Answer:
1,920,000,000 pounds of food per year and 3,840,000 people.
Step-by-step explanation:
1,280,000 active military members could have been farmers that produced 1,500 pounds of food per year. (1,280,000 farmers x 1,500 pounds of food = 1,920,000,000).
1,920,000,000 divided by 500 pounds of food per person is 3,840,000.
According to the table. what is the ratio of pattern 2 to pattern 1?
A) 1/4
B) 1/2
C) 2/1
D) 1
PLS ANSWER QUICK
Answer:
Srry but there is no table.
Write an equation of the line that passes through the point (-6, -9) with slope-5.
A. y + 9 = 5(20+6)
B.y +6 = 5(x +9)
c.y+9= -5(x + 6)
D.y +6 = -5(x +9)
Answer:
[tex]y+9=-5(x+6)[/tex]
Step-by-step explanation:
We are being asked to write the equation in point-slope form:
[tex]y-y_1=m(x-x_1)[/tex] where m = slope and the first point = [tex](x_1,y_1)[/tex]
In this case, the slope is -5 and the point is [tex](-6,-9)[/tex] so the equation will be:
[tex]y+9=-5(x+6)[/tex]
Want to learn more about point-slope form? Check the link out:
https://www.albert.io/blog/point-slope-form/#What_is_point_slope_form
I need help on this question, geometry basics.
Step 1 : F
Step 2 : C
Step 3 : B
Step 4 : E
Step 5 : D
Step 6 : A
Answer this if you can boom bam bop
Answer:
D. $60Step-by-step explanation:
If the amount is equal and each is 20% = $12, then total is:
100% = 20%*5 = $12*5 = $60Correct choice is D
Answer:
60.00
Step-by-step explanation:
20% of 60 = 12 which equals the amount of money Peter has.
So, at $60, he has 20% and $12.00
On+monday,+hakim+stocked+up+on+bottled+water+for+the+trip.+On+tuesday,+he+purchased+five+more+bottles+to+add+to+his+collection.+On+wednesday,+half+of+his+entire+collection+remained+and+only+had+7+left.+How+many+did+he+have+on+Monday
Answer:
the answer for this question is 2
Marking brainliest
What else should I add
Step-by-step explanation:
........Student
........ Cousin
......... Child
Answer:
Step-by-step explanation:
daughter cousin (if you have any).mother (if you are one)family member (if it applies)best friend.Karabo is training by running for the Comrades Marathon ; he starts his training by running 40km per week . Each week he increases the distance covered by 10km (1) Use the formula to calculate the distance he runs in the 12 week of training
Answer:
hi
Step-by-step explanation:
hi
A triangle has a perimeter of 23 feet. Find the value of X
-99>5-8(m+6)
need help
Answer:
m > 7
Step-by-step explanation:
[tex] - 99 > 5 - 8(m + 6)[/tex]
[tex] - 8(m + 6) = - 8m - 8 \times 6[/tex]
[tex] = - 8m - 48[/tex]
[tex] - 99 > 5 - 8m - 48[/tex]
[tex]5 - 48 = - (48 - 5) = - 43[/tex]
[tex] - 99 > - 43 - 8m[/tex]
[tex] - 99 + 8m > - 43[/tex]
[tex]8m > - 43 + 99[/tex]
[tex]8m > 56[/tex]
[tex] = m > 7[/tex]
FIND THE MISSING SIDE OF THE TRIANGLE
Answer:
[tex]use \: pythagorean \: theoram \\ {hypotenuse}^{2} = {height}^{2} + {base}^{2} \\ {x}^{2} = {12}^{2} + {9}^{2} \\ {x}^{2} = 144 + 81 \\ {x}^{2} = 225 \\ x = \sqrt{225} \\ x = 15 \\ thank \: you[/tex]
Answer:
x=15
Step-by-step explanation:
[tex]x=\sqrt{a^2+b^2}[/tex]
[tex]=\sqrt{12^2+9^2}[/tex]
[tex]=\sqrt{225}[/tex]
[tex]=15[/tex]
Simplify 4(2x3 – 5x2 + 8x + 2) - 6x - 8x3
Answer:
- 20x² + 26x + 8
Step-by-step explanation:
Given
4(2x³ - 5x² + 8x + 2) - 6x - 8x³ ← distribute parenthesis by 4
= 8x³ - 20x² + 32x + 8 - 6x - 8x³ ← collect like terms
= - 20x² + 26x + 8
Please help meeeee!
I'm really in a rush rn!
Answer:
-3.392
Step-by-step explanation:
2.34
1.052
+_____
= 3.392
Are (2,9) and (-3,-6) both on the line y - 4x + 6? If not, find an equation for the line that does pass through both points.
Answer:
points doesn't lie in the given line.
Step-by-step explanation:
firmula for finding the equation of these points are
[tex] \frac{y - y1}{y2 - y1} = \frac{x - x1}{x2 - x1} [/tex]
x1=2 , x2=-3, y1= 9 ,y2=-6
subtitute all values in formula
[tex] \frac{y - 9}{ - 6 - 9} = \frac{x - 2}{ - 3 - 2} [/tex]
[tex]y - 3x - 3 = 0[/tex]
if we put (2,9) and (-3,-6) in new equation then they will satisfy equation.so this is the equation where points lie in the line