Answer:
£6911 is the smallest amount Cynthia should invest to get £8000 after three years
Step-by-step explanation:
lets Assume that amount needs to invested for three years = £ x Rate of Interest = R = 5% per year Duration in years = n = 3 year
Amount expected after three years when compounded annually = A = £8000 Formula for Amount of compound interest annually is a follows A = P( 1 + R/100)^n In our case Principal P = x , Amount A = 8000 , R = 5% and n = 3( since compounded annually). On substituting these values in above formula we get 8000 = x ( 1 + 5/100)^3 ⇒8000 = x ( 105/100)^3 ⇒8000 = x ( 21/20 )^3 ⇒(8000 × 20 × 20 × 20)/(21×21×21) = x ⇒x = 6910.70≈6911
Hence £6911 is the smallest amount Cynthia should invest to get £8000 after three years
A bag contains 42 red, 45 green, 20 yellow, and 32 purple candies. You pick one candy at random. Find the
probability that it is purple or not red.
Answer:
97/139
Step-by-step explanation:
You add every thing but red so 45+20+32 which equals 97, so 97 is your numerator and to get the denominator you add all the numbers together so 42+45+20+32 which equals 139.
Probability that candy picked is purple or not red is [tex]\frac{32}{151}[/tex].
What is probability?The probability of an event can be calculated by probability formula by simply dividing the favorable number of outcomes by the total number of possible outcomes. The value of the probability of an event to happen can lie between 0 and 1 because the favorable number of outcomes can never cross the total number of outcomes. Also, the favorable number of outcomes cannot be negative.
According to the question
A bag contains 42 red, 45 green, 20 yellow, and 32 purple candies.
You pick one candy at random.
We have to find probability that it is purple or not red.
Formula for probability:
[tex]P(E) = \frac{Number \ of \ favorable \ outcomes}{Total \ number \ of \ favorable \ outcomes}[/tex]
Total number of favorable outcomes = [tex]42+45+20+32 =151[/tex]
Number of favorable outcomes = 32
Probability that it is purple or not red.
[tex]P(E)=\frac{32}{151}[/tex]
Hence, Probability that candy it is purple or not red is [tex]\frac{32}{151}[/tex].
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The trapezoids are similar. In the figure below KLMN ~ WXZY. What is the value of b?
Write (9−4i)2(9−4i) 2 in simplest a+bia+bi form.
Step-by-step explanation:
(9−4i)2(9-4i)2
Rewrite (9−4i)2(9-4i)2 as (9−4i)(9−4i)(9-4i)(9-4i).
(9−4i)(9−4i)(9-4i)(9-4i)
Expand (9−4i)(9−4i)(9-4i)(9-4i) using the FOIL Method.
Tap for more steps...
9⋅9+9(−4i)−4i⋅9−4i(−4i)9⋅9+9(-4i)-4i⋅9-4i(-4i)
Simplify and combine like terms.
Tap for fewer steps...
Simplify each term.
Tap for more steps...
81−36i−36i−1681-36i-36i-16
Subtract 1616 from 8181.
65−36i−36i65-36i-36i
Subtract 36i36i from −36i-36i.
65−72i
A swiming pool has a perimeter of 72 feet.
The short sides measure 16 feet. What is the length of the longer sides of the pool
Answer:
40 for both of the long sides.
Step-by-step explanation:
Hope this helps! <3
Answer: Each long side is 20
Step-by-step explanation: If the short side were 16 then you would subtract 32 from 72. This would give you 40 you would divide this by two because you have two sides. So each long side is 20.
scrap metal buyer pays $3.18 Per square foot of steel. how much can you earn by selling the steel drum below? round your answer to the nearest dollar.
Answer:
79.82
(Rounded to the nearest dollar 80)
Step-by-step explanation:
Surface area of Cylinder:
Circle:
π[tex]r^{2}[/tex]=
1π = π
so since there are 2 circles it is 2π
Rectangle:
length*width=
3*Circumference
3*(2π)=
6π
Add them all together:
2π + 6π = 8π
≈ 8*3.14
so the answer is approximately 79.82
Hope this helps :)
75
25
Simplify fraction to a mixed number
Answer:
75/25= 3 wholes
Step-by-step explanation:
Because 25*3=75 so it would be 3 wholes
1
Write 15% as a fraction in simplest form:
Answer:
3/20
Step-by-step explanation:
15 / 100
divide both the numerator and denominator by 5: 3 / 20
Answer:
3/20 is it's simplest form.
Step-by-step explanation:
How can we solve this?
we know we can simplify this if we can divide the numerator and denominator by the same number.15% is equal to 15/100.
15 divided by 5 equals 3.100 divided by 5 equals 20.Therefore, 15/100 can be simplified to 3/20.
2x + 2x - 4y - y = 4x + ( ? )
Answer:
-5y
Step-by-step explanation:
combine them -4y +(-1y)
each of equal sides of an isosceles triangle is 4cm greater than its height .If the base of triangle is 24 cm ,calculate the perimeter and the area of the triangle
192 cm²
Step by step explanation :-Let us take the height be x , then its side = x + 4. Now half of base will be 12 cm .
According to Pythagoras Theorem :-
=> base² + perpendicular ² = hypontenuse ²
=> 12² + x² = (x+4)²
=> 144 + x² = x² + 16 + 8x
=> 8x = 144-16
=> 8x = 128
=> x = 128/8
=> x = 16 cm .
Hence the height of ∆ is 16 cm .So the area will be half the product of base and altitude.
= 1/2 * 16 cm * 24cm .
= 192 cm²
★ Hence the area of the triangle is 192 cm² .1. There are 16 boys and 18 girls in a Grade 6 math class. Write the ratio of girls to boys in words as simply as possible.
2. The ratio of blue marbles to yellow marbles is 5:1. For every yellow marble, there are ___ blue marbles.
Answer:
1.)8 boys yo 9 girls
2.)5
Step-by-step explanation:
1)divide by 2
2.) every yellow marble is 1 and there is 5 marbles for each yelllow marble
The ratio of boys to girls in the Grade 6 math class is =
8 : 9.
For every yellow marble, there are five blue marbles.
To find the ratio of a given two quantities how many times one quantity is greater or smaller than the other.
To find the ratio of boys to girls in Grade 6 math class simplify by dividing through with two.
Therefore, 16/18 = 8/ 9, that is 8 boys is to 9 girls.
The 5:1 ratio of blue to yellow marbles means for every yellow marble, there are five blue marbles.
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Verify the identity.
[tex]cos 4u = cos^{2} 2u - sin^{2} 2u[/tex]
Answer:
Yes, it is an identity
Step-by-step explanation:
For 30 points pls help me!
Answer:
6.A
7.C
8.E
Step-by-step explanation:
Elaina charged $83 on her credit card to buy groceries. If the
balance is now $294, what was the balance before she bought
groceries?
Answer:
211?
Step-by-step explanation:
I'm not sure if this is correct, but:
294-83=211.
Hope this helps! :)
The balance before she bought the groceries was $277.
What are mathematical operations?In mathematics, an operation is a function which takes zero or more input values (also called "operands" or "arguments") to a well-defined output value.There are five fundamental operations in mathematics: addition, subtraction, multiplication, division, and modular formsGiven is that Elaina charged $83 on her credit card to buy groceries. The balance is now $294.
The balance before she bought the groceries is -
294 + 83
277
Therefore, the balance before she bought the groceries was $277.
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The area of a square is 81 square centimeters. What is the perimeter of the square?
Answer:
p = 36cm
Step-by-step explanation:
p = 4a
4 × 9 = 36
good luck, i hope this helps :)
a rectangular guitar case has a unique rhombus design on the top that has a height of 13 inches and a base of 2 feet. what is the area of the design in square inches?
Answer:
312
Step-by-step explanation:
Answer:
312
Step-by-step explanation:
Determine the INTEREST ONLY for $4,331.00 earning 5.5% for 4 years, compounded semi-annually.
Which statement not true
I'm not sure because There isn't attached
You roll a number cube. What are the odds of getting a six.
Divide
f)(4b²+13b + 21) ÷(b+8)
Write an equation to represent 'twice a number (x) is fifty"
Answer:
2x=50
Step-by-step explanation:
Hi there,
Your question is "twice a number (x) is fifty"
Recall how a number is represented by x.
Twice a number would be represented as 2x.
Therefore, to represent that twice a number is equal to 50, that would result in the expression: [tex]2x=50[/tex]
If you're looking to solve this equation, it's often best to think about the "reverse" of the current equation.
Notice how 2 is multiplying the x.
To isolate x, divide that side by 2.
However, recall that whatever is done to one side of an equation must also be done to the other side of the equation. Therefore, you will need to divide both sides by 2.
[tex]2x=50[/tex]
[tex]\frac{2x}{2} = \frac{50}{2}[/tex]
[tex]x=25[/tex]
Equation: [tex]2x=50[/tex]
Solving for x: 25
Hope that helps!
b) Factorise fully
8x + 12x
Answer:
20x simplified
4x(2+3) factored
Raul quiere agregar a su artículo algunos recursos visuales, para que su tema que-
de más comprensible. ¿Cuál opción los muestra?
1. Gráficas
2. Cita textual
3. Ilustraciones
4. Tablas de datos
5. Referencias bibliográficas
B) 1, 4, 5
A) 1, 3, 4
D) 3,4,5
C) 2,3,4
chos Reservados. GOB. EDO. SEECH. MEAD
Answer:
La respuesta es la opción A
What is the area of the figure?
Enter your answer in the box.
in2
Which measurement is closest to the area of the circle in square centimeters ? A. 31.4cm² B. 78.5cm² C.62.8² D.50.2cm²
Answer: it’s a
Step-by-step explanation: took the test got it right
The required measurement closest to the area of the circle in square centimeters is 78.5cm². Option B is correct.
What is an area circle?The area of the circle is given by the pie times square of the radius.
Area of circle = πr^2
Here,
Let the radius of the given circle be r = 5 cm
Area of the circle = πr²
Substitute the value in the above expression,
Area of the circle = π 5²
Area of the circle = 78.5cm²
Thus, the required measurement closest to the area of the circle in square centimeters is 78.5cm². Option B is correct.
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??????????????????????????
Please help me find the area of this polygon.
Answer:
28²
Step-by-step explanation:
area for square
4×4=16
area for triangle
6×2=12
12÷2=6(the formula for finding a triangle area is height×length after that divided by 2)
for both triangle
6×2=12
after that add 12+16 then you have the answer and don't forget your ²...
Arithemetric sequence 4,16,28,40,52
Answer:
-8 + 12n
Step-by-step explanation:
First term = a = 4
Common difference = d = second term - first term
= 16 - 4
= 12
Nth term = a + (n -1) *d
= 4 + (n - 1)*12
= 4 + n*12 - 1*12
= 4 + 12n - 12
= 4 - 12 + 12n
= -8 + 12n
Can you help me with number 8
Answer:
A. :)
Step-by-step explanation:
Brainly?
what value of d makes the equation true
Answer:
16.8
Step-by-step explanation:
the one above would the y
The diameter of a circle is 4 m. Find its area to the nearest tenth.
Answer:
12.6m²
Step-by-step explanation:
radius=2
Area=π2²=12.6(1dp)