Answer:
4 Years.
Step-by-step explanation:
Given:Principle ⇒ 2000
Interest ⇒ 400
Rate ⇒ 5%
To Find:Time ⇒ _
Solution:Simple interest ⇒ p * x * t / 100
⇒ 400 = 2000 * 5 * t / 100
⇒ 400 = 200 * 5 * t / 10
⇒ 400 = 20 * 5 * t
⇒ t = 400 / 20 * 5
⇒ t = 40 / 2 * 5
⇒ t = 20 / 5
⇒ t = 4
2x = 37 find solve of x
Answer:
18.5
Step-by-step explanation:
37 divided by 2 is 18.5
x + y = 5 2x - y = 1 substitution method
[tex]x+y = 5~~...(i)\\\\2x-y = 1~~...(ii)\\\\\text{From (i):}\\\\x+y = 5\\\\\implies x = 5-y~~~.....(iii)\\\\\text{Substitute equation (iii) in equation (ii):}\\ \\2(5-y)-y = 1\\\\\implies 10 - 2y -y = 1\\\\\implies 3y = 9\\\\\implies y = \dfrac 93 = 3\\\\\text{Substitute y= 3 in equation (iii):}\\\\x= 5-3 = 2\\\\\text{Hence,}~ (x,y) = (2,3)[/tex]
Answer:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(2,3)
Equation Form:
x = 2, y = 3
Step-by-step explanation:
Please help! will give brainlest!
cscθ is the same as 1/sinθ
Explanation:
csc stands for cosec which is equivalent to 1/sinθ
The expression is thus equal to 1/[sin(4π/3)]
Since we know by consulting the unit circle that sin(4π/3) = - [(√3)/2]
we get the expression 1/[sin(4π/3)] = 1/(-√3/2)
which can be simplified to 1/(-√3/2) = 2/(-√3) = (-2√3)/3
Find the Area of Each shape. (Use pi = 3.14)
Answer:
Radius = 8 in
Area = πr2 = 3.14 x (8)2= 3.14 x (64)
Area = 201.1429 in²
Step-by-step explanation:
hope this helps if not please let me now
Finish the steps below to write a quadratic function for the parabola shown. use the vertex form, f(x) = a(x – h)2 k, and substitute in the values for h and k. f(x) = a(x – 5)2 3 use another point and substitute in values for x and f(x). solve for a. 5 = a(6 – 5)2 3 write the function, using the values for h, k, and a. the function is f(x) = (x – )2 .
The vertex form of the parabola after finishing the steps and putting the values for h, k, and a, is [2(x -5)²+ 3]
What is the vertex form of parabola?Vertex form of parabola is the equation form of quadratic equation, which is used to find the coordinate of vertex points at which the parabola crosses its symmetry.
The standard equation of the vertex form of parabola is given as,
[tex]y=a(x-h)^2+k[/tex]
Here, (h, k) is the vertex point.
Substitute the values for h and k in the above vertex form.
[tex]f(x) = a(x -5)^2+ 3[/tex]
Use another point and substitute in values for x and f(x). Solve for a.
[tex]5 = a(6 - 5)^2 +3\\5-3=a(1)\\a=2[/tex]
Rewrite the function, using the values for h, k, and a. The function is
[tex]f(x) = 2(x -5)^2+ 3[/tex]
Hence, the vertex form of the parabola after finishing the steps and putting the values for h, k, and a, is [2(x -5)²+ 3]
Learn more about the vertex form of the parabola here;
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Answer: 1st slot: 2 | 2nd slot: 5 | 3rd slot: 3 | correct on edge 2023!
Least common multiple of 45 and 7
Answer:
315
Step-by-step explanation:
45 x 7 = 315
Multiples of 7: 7, 14, 21, 28... 301, 308, 315
Multiples of 45: 45, 90, 135, 180, 225, 270, 315, 360, 405
If you need further explanation, let me know!
- profparis
Step-by-step explanation:
Least common multiple of 45 and 7 is 315
What is the volume of a hemisphere with a radius of 2.3 m, rounded to the nearest tenth of a cubic meter?
Answer:
25.3m³
Step-by-step explanation:
2. Jada fills her aquarium with water.
The graph shows the height of the water, in cm, in the aquarium as a function of time in minutes. Invent a story of how Jada fills the aquarium that fits the graph.
Answer:
Jada fills her aquarium with water at a constant rate of 5cm/minute for 2 minutes. She then stops the water from running for 1 minute. After that, she started to fill the aquarium at a constant rate of 10cm/minute for another 2 minutes. After 5 minutes, she reduces the water running at a rate of 5cm for 2 minutes. After 7 minutes, she turns off the water and the water is at 25cm.
A babysitter charges an hourly rate. The equation y = 12x represents the relationship between hours of babysitting, x, and total pay, y, in
dollars.
What is the salary per hour for the babysitter?
salary : $12 per hour
Find+the+z-scores+that+separate+the+middle+69%+of+the+distribution+from+the+area+in+the+tails+of+the+standard+normal+distribution
Answer and Explanation:
1 - 0.69/ 2 = 0.155
0.155 = -1.02
(-1.02, 1.02) = z
The z -score separates the middle 69% of the distribution from the area in the tails of the standard normal distribution is (-1.02, 1.02).
What is a z- score?Z- score refers to how much a given value differs from the standard deviation.
The z -score separates the middle 69% of the distribution from the area in the tails of the standard normal distribution.
α = 1 - 0.69/ 2
α = 0.155
0.155 = -1.02
z = (-1.02, 1.02)
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Alannah, Colin and Hannah visit the park and collect conkers and acorns.
In total they collect the same number of conkers and acorns.
Alannah, Colin and Hannah collect conkers in the ratio 4:7:9
Alannah, Colin and Hannah collect acorns in the ratio 3:1:5
(a) Did Hannah collect more conkers or acorns?
Hannah collected more acorns than conkers.
What is Ratio?Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.
The ratio of a and b is denoted as a : b.
Given that,
Ratio of collection of conkers by Alannah, Colin and Hannah = 4 : 7 : 9
Total conkers = 4 + 7 + 9 = 20
Ratio of conkers collected by Hannah to total conkers = 9/20
Ratio of collection of acorns by Alannah, Colin and Hannah = 3 : 1 : 5
Total acorns = 3 + 1 + 5 = 9
Ratio of acorns collected by Hannah to total acorns = 5/9
LCM (9, 20) = 180
9/20 = (9 × 9) / (20 × 9) = 81/180
5/9 = (5 × 20) / (9 × 20) = 100/180
Hence Hannah collected more acorns than conkers.
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Solve for X. Leave your answer in the simplest radical form.
Image down below!
Someone please help me with this, I’ll give you brainlist and points!
Apply Pythagorean theorem
P²=10²-4²P²=100-16P²=84p=2√21Again
x²=84-8²x²=84-64x²=20x≈√20=√4×5=2√5Answer:
2√5
Step-by-step explanation:
The given pyramid is composed of two right angle triangles. Notice the triangles of the pyramid share a common side. With the help of it, we can figure out x
recall Pythagoras theorem
[tex] {a}^{2} + { b }^{2} = {c}^{2} [/tex]
Case-1: Finding the opposite sidehere,
a=4c=10To find:
bnow plug in the value of a and c in the formula respectively:
[tex] {4}^{2} + { b }^{2} = {10}^{2} \\ \implies {b}^{2} = {10}^{2} - {4}^{2} \\ \implies {b}^{2} = 84 \\ \implies \boxed{ b_{1} = 2\sqrt{21}}[/tex]
Case-2: Finding xhere,
[tex]b_1 \implies c=2\sqrt{21}[/tex]b=8a[tex]\implies[/tex] xUtilizing Pythagoras theorem yields:
[tex] {x}^{2} + { 8}^{2} = {(2\sqrt{21})}^{2} \\ \implies {x}^{2} = {(2\sqrt{21})}^{2} - {8}^{2} \\ \implies {x}^{2} = 20\\ \implies \boxed{ x= 2\sqrt{5}}[/tex]
and we're done!
what is a pair lines that are parallel
Answer:
The pairs of lines that do not intersect or meet at any point are called parallel lines. These lines lie on the same plane but do not intersect. The line segments or rays that lie on the same plane but do not intersect are also parallel.
Step-by-step explanation:
Answer
A parallel line is a position of two lines on a plane that does not have a point of intersection even though the two lines are extended.Geometrically, parallel lines will never meet each other because they have the same slope (gradient). Parallel lines do not have to be the same length
Hi built the bookshelf shown below the bookshelf is 4 feet tall with a solid board on the back and each shelf measures 18 inches deep by 24 inches across if Chi wants to paint all the surfaces including the underside of each shelf and the base as well as both sides of the bookshelves back and sides how many square feet will paint
it should be 137
if not am sorry. am not the best at math
The radius of a circle is 14 feet. What is the area of the circle?
87.92 ft 2
615.44 ft 2
153.86 ft 2
1,230.44 ft 2
Answer:
615.44 ft 2
Step-by-step explanation:
radius times radius times 3.14(pie)
Answer:
Area of circle = pie r²
22/7×14²
616,,
According to me
Find the value of X
4.5
8.9
6.5
X
13
b
11
can someone answer
Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answers:
1) [tex]\sf \boxed{1} \ x^2 + \boxed{2} \ x -24[/tex]
2) [tex]\sf \boxed{2} \ x^2+ \boxed{-1} \ x-15[/tex]
3) [tex]\sf \boxed{6} \ x^2+\boxed{19} \ x+10[/tex]
4) [tex]\sf \boxed{2} \ x^2+\boxed{-11} \ x+5[/tex]
solving step wise:
1)
(x+6)(x-4)x² + 6(x) -4(x) -24x² + 2(x) - 242)
(2(x)+5)(x-3)2(x)² - 6(x)+5(x)-152(x)² - x - 153)
(3(x)+2)(2(x)+5)6(x)²+15(x)+4(x)+106(x)² + 19(x)+104)
(2(x)-1)(x-5)2(x)² -10(x)-x+52(x)² -11(x)+5#1
(x+6)(x-4)x(x-4)+6(x-4)x^2-4x+6x-24x^2+2x-24#2
(2x+5)(x-3)2x(x-3)+5(x-3)2x^2-6x+5x-152x^2-x-15#3
(3x+2)(2x+5)3x(2x+5)+2(2x+5)6x^2+15x+4x+106x^2+19x+10#4
(2x-1)(x-5)2x(x-5)-1(x-5)2x^2-10x-x+52x^2-11x+5Find base of triangle on coodinate plane 8,2 and 6,2
Answer:
The base of this triangle is 2 units wide
Step-by-step explanation:
Your explanation is in the picture shown below!!!
What value of c makes the polynomial below a perfect square?
Answer:
B
Step-by-step explanation:
x² + 9x
to complete the square
add ( half the coefficient of the x- term )² to x² + 9x
= x² + 2([tex]\frac{9}{2}[/tex] )x + ([tex]\frac{9}{2}[/tex] )²
= x² + 9x + [tex]\frac{81}{4}[/tex] ← the value of c
= (x + [tex]\frac{9}{2}[/tex] )² ← a perfect square
Find the volume of the solid. Use 3.14 for π.
Answer:
vol= 10366.3175in²Step-by-step explanation:
So this is a cylinder
formula: π r²hR= 8.75in
h=43.12in
So it will be = 3.14x8.75²x43.12
=> 3.14x76.5625x43.12
3.14x 3301.375
10366.3175in²i think it is correct
.
stay safe
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have a nice TIME
The number of calories consumed in an oreo cookie is directly proportional
can you help me pls? i need it
Answer:
$168.75
Step-by-step explanation:
In the morning you'll have a time of about 4 hours.
In the afternoon you'll have 8.5 hours.
You take these and add them together 4 + 8.5 = 12.5
Then you take your sum and multiply it by the wage you make per hour 13.50 x 12.5 = $168.75
Suppose a charity received a donation of $22.2 million. If this represents 34% of the charity’s donated funds, what is the total amount of its donated funds?
Answer:
ok so lets make this into a algrebra equation
22.2(mil)=0.34x
divide by 0.34
65294117.6471=x
x=65294118
Hope This Helps!!!
You have decided to purchase a car for $25,625. the credit union requires a 10% down payment and will finance the balance with a 9% annual interest loan for 36 months. the sales tax in your city is 7.5%, and the license and title charges are $175.13. what is the total purchase price of the car including tax, license, and title? round your answer to the nearest cent. a. $24,949.80 c. $27,722.01 b. $24,967.32 d. $27,735.14
The total purchase price of the car including tax, license, and title $27,722.01.
The purchase price of a car is $25,625 the credit union requires a 10% down payment and an annual interest 9% loan for 36 months. The sales tax is given 7.5%, and the license and title charges are $175.13.
What is the total sale?The total sale is the product of the selling price and one plus the sales tax rates.
Total sale = selling price × (1 + sales tax rate)
The price of the car including tax
= $25,625 × (1 +7.5%)
= $27,546.88
By adding license and title charges to the amount, we get
= $27,546.88 +175.13
= $27,722.01
Hence, The total purchase price of the car including tax, license, and title $27,722.01.
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simplify (3a^2-6a+3)/(a^2-1) if a is not 1
[tex]\dfrac{3a^2-6a+3}{a^2-1}\\\\=\dfrac{3(a^2 -2a+1)}{(a+1)(a-1)}\\\\=\dfrac{3(a-1)^2}{(a+1)(a-1)}\\\\=\dfrac{3(a-1)}{a+1}\\\\=\dfrac{3a-3}{a+1} ~~~\text{for}~ a\neq 1[/tex]
The lengths of all sides are different in which type of triangle?.
Answer: Scalene Triangle
Step-by-step explanation:
Answer:
Scalene Triangle
Step-by-step explanation:
Scalene Triangle: All sides are different
Isosceles Triangle: 2 sides are the same
Equilateral Triangle: All sides are the same.
What is the value of the expression when n = 3?
-2n(5+n-83n)
A bank is offering 2.5% simple interest on a savings account. if you deposit $5000,how much interest will you earn in one year?
Answer:
$125 you will end up w/ $5125
Step-by-step explanation:
ASAP GIVING 5 STARS AND A LIKE AND BRAINLIEST 412 ÷ 10¹
Answer:
Your answer would be:
41.2
10¹ = 10
412 / 10 = 41.2
Step-by-step explanation:
Have a great rest of your day
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A university class has had 8 graduate students enroll so far, as well as 8 other students. Considering this data, how many of the next 12 students to enroll should you expect to be graduate students?