2. R10 000 is invested for two years at 8% per year compounded quarterly
a) Calculate the value of the investment after two years.
b) Determine the Interest earned by the investment.
Finding the volume of the cone
Answer:
[tex]\frac{686\pi }{3}[/tex] or 718.3775
Step-by-step explanation:
Formula:
[tex]\pi r^2\frac{h}{3}[/tex]
we have
[tex]\pi *7^2*\frac{14}{3}= \frac{686\pi }{3}[/tex]
The price of a mobile phone was £980.
In a sale the price is reduced by 25%.
On the final day the sale price is reduced by a further 8%.
How much is saved in total by buying the mobile phone on the final day
of the sale?
Answer:
Amount saved = £ 303.80
Step-by-step explanation:
Original Price = £980
After 25% discount :
[tex]980 - (25 \% \times 980) = \£ 735[/tex]
On the final day further discount of 8%.
That is ,
[tex]735 - (8 \% \times 735) = \£ 676.20[/tex]
Total savings if buying on the final day of sale = 980 - 676.20 =£303.80
x/6 + 12 = 6
Please help me
Answer:
[tex]x=-36[/tex]
Step-by-step explanation:
[tex]\frac{x}{6} +12=6[/tex]
[tex]\frac{-36}{6} +12=6[/tex]
[tex]-6+12=6[/tex]
Hence, x = -36
Answer:
X = -36
Step-by-step explanation:
x/6 + 12 = 6
-12 = -12
x/6 = -6
(6) = (6)
x = -36
3. f(-4) - 3.9(-2) =
Answer:
Step-by-step explanation:
How can you solve X^2 +2x=-1
1.Round 3 601 111 to the nearest million
2. Round 17.81 to the nearest whole number
3. Round 59.52 to the nearest 1 d.p.
4. Round 7.176 to the nearest 2d.p.
(Pls help me…)
Answer:
See explanation
Step-by-step explanation:
Rules to follow when rounding
1. If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. Eg: 56 rounded to the nearest ten is 60
2. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down. Example: 23 rounded to the nearest ten is 20
3. All the numbers to the right of the place you are rounding to become zero
1.Round 3 601 111 to the nearest million
= 4,000,000
2. Round 17.81 to the nearest whole number
= 18
An whole number is a number without a decimal point
3. Round 59.52 to the nearest 1 d.p.
= 59.5
1 d.p means one digits after the decimal point
4. Round 7.176 to the nearest 2d.p.
= 7.18
2 d.p means two digits after the decimal point
How are exponents and roots related?
Step-by-step explanation:
sana po nakatulong sainyo thanks❤
The formula for the lateral area of a right cone is LA = rs, where r is the radius of the base and s is the slant height of the cone.
Which are equivalent equations? Select two correct answers.
Step-by-step explanation:
The formula for the lateral area of a right cone is :
LA = rs
Where
r is the radius of the base and s is the slant height of the cone
Equivalent expression,
[tex]r=\dfrac{LA}{s}[/tex]
or
[tex]s=\dfrac{LA}{r}[/tex]
Hence, this is the required solution.
In this exercise we have to use the formula for volume of the cone and we find that:
[tex]s=\frac{LA}{r}[/tex]
The formula for the lateral area of a right cone is :
LA = rs
Where:
r is the radius of the base s is the slant height of the coneEquivalent expression is:
[tex]s=\frac{LA}{r}[/tex]
See more about volume at brainly.com/question/1578538
You have 88 grams of a radioactive kind of actinium. How much will be left after 44 years if its half-life is 22 years?
Answer:
22 grams
Step-by-step explanation:
loses 50% of it's mass per 22 years
so after 22 years the mass would be 44 grams
22 years later would leave 50% of 44 grams = 22 grams
365.12x =36,512 please help
Answer:
x = 100
Step-by-step explanation:
365.12 x = 36512
36512 / 365.12 = x
x = 100
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
The circle below has center T. Suppose that mUV = 68 and that UW is tangent to the circle at U. Find the following. Does anyone know this?
Answer:
Step-by-step explanation:
Angle UTV is a central angle. The rule is that the measure of a central angle is the same as the measure of the arc its rays intercept. Angle UTV intercepts arc UV which measure 68 degrees. Therefore, angle UTV also measures 68 degrees.
As far as the next angle goes, angle VUW, the rule is that the measure of the angle is half the measure of the arc it intercepts. So angle VUW = 34 degrees
Find mZP.
P
26
2./13
R
mZP =
I’m confused
Answer:
45 degrees
Step-by-step explanation:
Since we have a right triangle, we use the appropriate trigonometric ratio
The angle marked P faces QR and that makes it the opposite side
PR faces the right angle and that makes it the hypotenuse
The trigonometric ratio that links the opposite and the hypotenuse is the sine
It is the ratio of the opposite to the hypotenuse
Thus;
sin P = √26/2 √13
Sin P = √2/2
P = arc sin √2/2
P = 45 degrees
Help...................
Answer:
area=3.14 yd^2
Step-by-step explanation:
radius=diameter/2
=2/2
=1
area =π*r^2
=3.14&1
=3.14 yd^2
Answer:
3.14 yd^2
Step-by-step explanation:
First we need to find the radius
r = d/2 = 2/2 =1 yd
The area of a circle is given by
A = pi r^2
= 3.14 ( 1)^2
= 3.14 yd^2
Find the volume of a pyramid with a square base, where the perimeter of the base is 16.9\text{ cm}16.9 cm and the height of the pyramid is 19.6\text{ cm}19.6 cm. Round your answer to the nearest tenth of a cubic centimeter.
Answer:
Volume of square based pyramid = 116.62 cm³
Step-by-step explanation:
Given:
Perimeter of square base = 16.9 cm
Height of pyramid = 19.6 cm
Find:
Volume of square based pyramid
Computation:
Perimeter of square base = 16.9 cm
4[Side] = 16.9
Side = 4.225 cm
Area of square = Side x Side
Area of square = 4.225 x 4.225
Area of square = 17.85 cm²
Volume of square based pyramid = [Area of square][Height of pyramid] / 3
Volume of square based pyramid = [17.85][19.6] / 3
Volume of square based pyramid = 349.86 /3
Volume of square based pyramid = 116.62 cm³
How is this one done?
What is the total SURFACE AREA of a cylinder with a radius of 5 cm and a height of 7 cm?
Answer:
SA=376.9911184cm^2
Step-by-step explanation:
SA=2πrh+2πr^2
376.9911184cm^2=(2*π*5*7)+(2*π*5^2)
A store sells two different packages of soda as described below. (Standard 6.EE.9) Package A: 18 soda Package B: 10 soda Write an equation for Package A and an equation for Package B that represent the total number of sodas, g, in p packages.
Answer:
[tex]g = 18p[/tex] --- A
[tex]g = 10p[/tex] ---- B
Step-by-step explanation:
Given
[tex]Package\ A: 18\ soda[/tex]
[tex]Package\ B: 10\ soda[/tex]
Required
The equation of both packages
The given details represent the number of sodas in each package.
So, the equation of A is:
[tex]g = 18p[/tex]
And the equation of B is:
[tex]g = 10p[/tex]
Fill in the blanks on the unit circle.
HELP ASAP
Find the missing dimension of the prism. Round your answer to the nearest hundredth.
Volume = 72.66 in.?
Х
2 in.
Answer:
[tex]x = 6.99in[/tex]
Step-by-step explanation:
Given
[tex]l =2in[/tex]
[tex]Volume = 72.66in^3[/tex]
See attachment for prism
Required
Find x
The prism has a regular hexagon base
The base area is calculated as:
[tex]Base\ Area= \frac{3\sqrt 3}{2}l^2[/tex]
This gives:
[tex]Base\ Area= \frac{3\sqrt 3}{2} * 2^2[/tex]
[tex]Base\ Area= \frac{3\sqrt 3}{2} * 4[/tex]
[tex]Base\ Area= 3\sqrt 3 * 2[/tex]
[tex]Base\ Area= 6\sqrt 3[/tex]
Side x represents the height.
So, we have:
[tex]Volume = Base\ Area*x[/tex]
Make x the subject
[tex]x = \frac{Volume }{ Base\ Area}[/tex]
[tex]x = \frac{72.66in^3}{6\sqrt 3 in^2}[/tex]
[tex]x = \frac{72.66}{6\sqrt 3}in[/tex]
[tex]x = \frac{12.11}{\sqrt 3}in[/tex]
[tex]x = 6.99in[/tex] --- approximated
2- La longueur d'un rectangle mesure 2 cm de plus que le triple de sa largeur. Si le périmètre de ce rectangle est supérieur à 12 cm, mais d'au maximum 48 cm, dans quel intervalle se situe la largeur de ce rectangle?
Answer:
5 < L < 18,5
5 < L < 18,52 < W < 5,5
Step-by-step explanation:
longeur = length = L
largeur = width = W
L = 3W +2
12 < 2L+2W < 48
———————————————
12 < 2*(3W+2)+2W < 48
12 < 6W+4 +2W < 48
12 < 8W+4 < 48
8 < 8W < 44
2 < W < 5,5
———————————————
12 < 2L+2W < 48
L = 3W +2
L - 2 = 3W
L/3 -2/3 = W
12 < 2L +2*(L/3 -2/3) < 48
12 < 2L + ⅔L -4/3 < 48
12 < 2⅔L -4/3 < 48
13⅓ < 2⅔L < 49⅓
5 < L < 18,5
hope it helps.
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A tablet and a digital camcorder are both on sale for 30% off. The regular price of the tablet is $185. The regular price of the camcorder is $140.
Part A
Find the sale price of the tablet. Explain.
Part B.
Dylan wants to buy both the tablet and
the camcorder. How much will he pay if he buys them during the sale?
Answer:
355
Step-by-step explanation:
$355 because have you got to add 185 with 140 that will get you that 322 then u got to add to 322 with 30
so sánh căn 3+ căn 2 và căn 2 + căn 6
Answer:
13 is the correct answer
Answer:
Step-by-step explanation:
căn 2 + căn 6 lớn hơn
What is the surface area of the regular pyramid below? 19 16 16
A. 864 units²
B. 856 units²
C. 756 units²
D. 952 units²
Answer:
A. 864 units²
Step-by-step explanation:
(16×16)+(4×½×16×19)
= 256 + 608
= 864
The surface area of the regular pyramid is S = 864 units²
What is the surface area of the pyramid?The total surface area is the summation of the areas of the base and the three other sides. A = B + ( 1/2 ) ( P x h ), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid
Surface Area of Pyramid = B + ( 1/2 ) ( P x h )
Given data ,
Let the surface area of the pyramid be S
Now , let the base area of the pyramid be B
where the side length of the pyramid is a = 16 units
So , B = 16² units² = 256 units²
And , let the height of the pyramid be h = 19 units
And , the perimeter of the pyramid P = 4 x 16 = 64 units
So , Surface Area of Pyramid = B + ( 1/2 ) ( P x h )
On simplifying , we get
S = 256 + ( 1/2 ) ( 64 x 19 )
S = 256 + 608
S = 864 units²
Hence , the surface area is 864 units²
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Which table represents a linear function?

Answer:
c I am pretty sure of deep nuts u am playin it c
20 divided by 34 HEEEEELPPPPPPPPPPP
Answer:
0.58823529411
Answer:0.8
Step-by-step explanation:
CAN SOMEONE HELP ME I HAVE LIKE LESS THAN 15 MINUTES TO FINISH
Experimental probability of the name Alex being drawn is 4/10
This is because out of the ten times a name was drawn, Alex was drawn four times.
If the experiment was repeated 1,000 times, Ella's name could be expected to be drawn 200 times.
This is because of the ten names drawn, Ella's name was drawn twice which is 20% and 20% of 1,000 is 200.
I need help with can you guys show me the work.
Answer:
Δy = 30 ft.
Step-by-step explanation:
From the question given above, the following data were obtained:
Angle θ = 17.5°
Hypothenus = 100 ft
Opposite = Δy =?
The value of Δy can be obtained by using sine ratio as follow:
Sine θ = Opposite / Hypothenus
Sine 17.5 = Δy / 100
Cross multiply
Δy = 100 × Sine 17.5
Δy = 30 ft
I will give anyone who can give me the right answer to the Brainist! I really need an answer!
Answer:
a. 49 ft (nearest ft)
b. 24.5 sec
Step-by-step explanation:
a. work out TOP
[tex] \sqrt{ {45}^{2} + {20}^{2} } \\ = 49.24 \\ = 49[/tex]
b.
[tex] \frac{49}{2} \\ = 24.5[/tex]
divide by 2 coz its 2 ft per second. so 49 ft for 24.5 sec
Answer:
49 feet
25 seconds
Step-by-step explanation:
use the pythagorean theorem
a² + b² = c²
20² + 45² = c²
400 + 2,025 = c²
2425 = c²
Take the square root of both sides
c = 49.244289009
Rounded
49 feet
------------------------
time
t = 49 /2
t = 24.5 seconds
Rounded
25 seconds
A candy bar sells for 4 for $5. How many can be bought for 20 dollars?
100 bars
80 bars
16 bars
4 bars
Answer:
The number of candy which can be bought for 20 dollars is 16 candies. Hence, the required answer is 16. The number of candy bars that can be bought for $20 are 16.
16 candy bars can be bought for 20 dollars. Hence, the correct answer is C.
An expression is a mathematical representation or statement that combines variables, constants, and mathematical operations. It does not contain an equals sign (=) and does not make a statement of equality or inequality. Instead, an expression represents a value or a computation.
To determine how many candy bars can be bought for 20 dollars, we need to use the given information that 4 candy bars can be purchased for $5.
To find the cost of one candy bar, we divide $5 by 4:
Cost of one candy bar = $5 / 4 = $1.25
Now, we can calculate how many candy bars can be bought for $20 by dividing 20 by the cost of one candy bar:
Number of candy bars = $20 / $1.25 = 16
Therefore, 16 candy bars can be bought for 20 dollars. Hence, the correct answer is 16 bars.
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