Answer:
£12,362.70
Step-by-step explanation:
I used the compound interest formula to work this out.
£12,000 (original amount) x 1.015²
1.015 = 1.5% --- squared because the investment was 2 years.
Hope this helps :D
A line passes through (-2,-4) and (-6,-5). What is the slope?
A) 3/4
B) -3/4
C) 1/4
D) -1/4
Answer:
1/4
Step-by-step explanation:
The slope is given by
m = (y2-y1)/(x2-x1)
= (-5- -4)/(-6 - -2)
= (-5+4)/(-6+2)
= (-1) / -4
find the area of each Arc. Use the 3.14 as the value of pi. Round your answer to the nearest tenth. Label unit
Answer:
18.8 m²
Step-by-step explanation:
The area of a sector is given by the formula ...
A = (1/2)r²θ . . . . . . . r is radius, θ is the central angle in radians
To convert an angle in degrees to one in radians, multiply by π/180°.
Your 135° sector has an area of ...
A = (1/2)(4 m)²(135°)(π/180°) = 6π m²
A ≈ 18.8 m²
What is the slope of the line represented by the equation y= 4/5x-3
Answer:
4/5 is the slope
Step-by-step explanation:
The line is written in the form
y = mx+b where m is the slope and b is the y intercept
y = 4/5x -3
4/5 is the slope and -3 is the y intercept
A company is designing a new cylindrical water bottle. The volume of the bottle will be 121 cmcubed. The height of the water bottle is 7.6 cm. What is the radius of the water bottle? Use 3.14 for pi.
Answer:
The radius of the water bottle is 2.25 cm
Step-by-step explanation:
The water bottle is said to be cylindrical, so its volume can be expressed as the volume of a cylinder.
Volume of a cylinder V = πr^2 h
Where;
h = height
r = radius
Making the radius the subject of formula;
r^2 = V/πh
r = √(V/πh)
Given:
Volume V = 121 cm^3
height h = 7.6 cm
π = 3.14
Substituting the given values;
r = √(121/(3.14×7.6))
r = 2.25 cm
The radius of the water bottle is 2.25 cm
A circle with circumference 20 has an arc with a 72º central angle.
What is the length of the arc?
Answer:
l = x · c / 360
l = 72 · 20 / 360
l = 1440 / 360
l = 4
Step-by-step explanation:
1. write down the arc length formula.
2. replace x and c by their values
3. multiply and then divide to get l
If you take a number, times by 8 then add 6. You get the same as if you took the number, times by 3 then subtract 7. What is the number?
I don't say you have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me....
Enter the next three terms in the geometric sequence.
−3,104, −1,552, −776, −388, ...
Answer:
-194, -97, -48.5
Step-by-step explanation:
-3,104 ÷2 is -1,552. I divided each number by 2.
Find x.
1.5
2
[tex]\sqrt{3}[/tex]
3[tex]\sqrt{3}[/tex]
Answer:
1.5
Step-by-step explanation:
Answer:
in triangle
tan60°=3/x
√3=3/x
x=(√3×√3)/√3=√3
Write 42 as a product of primes.
Answer:
The prime factorization of 42 is 2 × 3 × 7
Step-by-step explanation:
Multiply.
The carton of milk in the refrigerator has 3/4 of a quart left. John drinks 1/2 of this milk. How much does he drink?
Answer:
1 and a half quarts
Step-by-step explanation:
Answer: He drank 3/8 quart.
Step-by-step explanation:
3/4 * 1/2 = 3/8
-7.33 - 1.3n = -0.18
HELPPPPP!!!!
Answer:
The answer to your probem is -5.5
Answer:
-1.3n - 7.33 = -0.18
-1.3n = 7.15
n = -5.5
Step-by-step explanation:
Please help with this question!!!!
Answer:
work is shown and pictured
c. A vendor at a street fair sells popcorn in cones, all of height 9 inches. The sharing-size cone has 3 times the radius of the skinny-size cone. About how many times more popcorn does the sharing cone hold than the skinny cone?
Answer:
Sharing cone holds 9 times more popcorn than a skinny cone.
Step-by-step explanation:
Height of each cone = 9 inches
Radius of the sharing size cone = 3 times radius of the skinny size cone
Let the radius of skinny size cone = r
Then radius of the sharing size cone = 3r
Volume of the sharing size cone = [tex]\frac{1}{3}(\pi )(\text{Radius})^{2}(\text{Height})[/tex]
= [tex]\frac{1}{3}(\pi )(3r)^{2}(9)[/tex]
= 27πr²
Volume of the skinny size cone = [tex]\frac{1}{3}(\pi )(\text{Radius})^{2}(\text{Height})[/tex]
= [tex]\frac{1}{3}(\pi )(r)^{2}(9)[/tex]
= 3πr²
Ratio of the volumes = [tex]\frac{\text{Volume of sharing size cone}}{\text{Volume of skinny size cone}}[/tex]
= [tex]\frac{27\pi r^{2}}{3\pi r^{2} }[/tex]
= 9
Therefore, sharing cone holds 9 times more popcorn than a skinny cone.
Can anybody help me solve this? You must solve for x first.
(click on image for full picture)
Answer:
The measure of U is 106 degrees
Step-by-step explanation:
Ok, so first let's solve for x (noting that the interior angles add up to 360)
W=90 (right angle) V = 11x+1 X=75 U=12x+10
now let's put them into equation format:
90 + 11x + 1 + 12x + 10 + 75 = 360
combine like terms:
90 + 1 + 10 + 75=176 11x + 12x=23x
we get: 23x + 176=360
solve: -176 -176
23x = 184
/23x /23x
x = 8
Now we have to solve for U:
12(8) + 10 = ?
96 + 10 = 106
Thus, it is 106 degrees
simplify log 4 - log 8
Answer:
-log2
Step-by-step explanation:
log4 - log8 = log2² - log2³
= 2log2 - 3log2
= (2 - 3)×log2
= (-1)×log(2)
= -log2
Why is math so hard
Answer:
because their are so more calculaition
I idk how to put this please help me understand better
Can I get the ans for this qs of maths?
Answer:
2880 m
Step-by-step explanation:
find the area under the graph. i have split it into 3 areas A, B and C
A (trapezium) = 1/2 x (150 + 160) x 15 = 2325
B (trapezium) = 1/2 x (15 + 6 ) x (160 - 110) = 525
C (triangle) = 1/2 x 10 x 6 = 30
total = 2325 + 525 + 30 = 2880
A six-sided number cube is rolled two times. What is the probability of rolling a 4 both times?
Answer: 1/36
Explanation: In this problem, we're given that a number cube is rolled twice and we're asked to find the probability of rolling a 4 and a 4.
It's important to understand that the two rolls of the number cube are independent events because the results of one role does not affect the results of the other roll.
To find the probability of two independent events, we first find the probability of each event, then we multiply the probabilities.
So let's first find the probability of rolling
a 4 with our first role of the number cube.
We can find the probability of an event using the following ratio:
number of favorable outcomes over total number of outcomes
Since there's only one way to roll a 4 and there are six possible outcomes 1, 2, 3, 4, 5, and 6, the probability of rolling a 4 is 1/6.
Next, we find the probability of rolling a 4 with our second roll of the number cube, which would also be 1/6.
Now, to find the probability of rolling a 4 and a 4,
we simply multiply the probabilities.
Now multiply 1/6 x 1/6 by multiplying across the top and bottom.
This gives us 1/36.
So the probability or likelihood of rolling a 4 two times in a row is 1/36.
Only do question 12
50 points
Topic: Percentage
Answer:
a. 264.5
b.40.375
c.0.1
d.0.8
e.7656
f.500
Step-by-step explanation:
a. [tex]\frac{115}{100}*230=\frac{26450}{100}=264.5[/tex]
b.[tex]\frac{80*4+3/4}{100}*50=\frac{323/4}{100}*50=\frac{323/4*50}{100}=\frac{4037.5}{100}=40.375[/tex]
c.[tex]\frac{500}{100}*0.02=5*0.02=0.1[/tex]
d.[tex]\frac{1/10}{100}*800=1/10*1/100 *800=\frac{1}{1000}*800=\frac{800}{1000}=0.8[/tex]
e.[tex]\frac{63*5+4/5}{100}*12000=\frac{319/5}{100}=12000=319/5*1/100*12000=319/500*12000=\frac{319*12000}{500}= \frac{3828000}{500}=7656[/tex]
f.[tex]\frac{0.05}{100}*1000000=\frac{0.05*1000000}{100}= \frac{50000}{100}=500[/tex]
Brainliest question please help me now plz I need it
Answer:
As shown in picture:
A(-4, 1)
Z(-2, 3)
P(3, -4)
The length of AZ is calculated by:
L = sqrt((-4 - -2)^2 + (1 - 3)^2) = 2.83
The length of AP is calculated by:
L = sqrt((3 - -4)^2 + (-4 - 1)^2) = 8.60
THe length of ZP is calculated by:
L = sqrt((3 - -2)^2 + (-4 - 3)^2) = 8.60
=>Perimeter of triangle AZP is calculated by:
P = AZ + AP + ZP = 2.83 + 8.60 + 8.60 = 20.3
Hope this helps!
:)
Select all that are like radicals to /11. (i’ll give you brainliest answer)
Answer: B and E
Step-by-step explanation:
x√11 and -6√11 are the like radicals of √11.
What is Radicals?Radicals are expressions which includes root of any degrees like square root, cube root or generally any nth root.
Usually radical denotes the square root and cube root.
There are three different components for the radical namely radicand, symbol and degree.
Like radicals are radicals whose degree and radicands are the same. Radicand is the number inside the root and the degree of the root is the times that radicand is multiplied to itself.
So these two components must be the same for two radicals to be like radicals.
This does not depend on whatever coefficients the radicals have.
Here, x√11 and -6√11 are the like radicals of √11.
Hence, by the definition of like radicals, x√11 and -6√11 are the like radicals of √11.
To learn more about Radicals, click on the link given below:
https://brainly.com/question/1369233
#SPJ5
Given right triangle ABC what is the value of tanA AB=26 BC=24 AC= 10
Answer:
tanA = 12/5
Step-by-step explanation:
Find the area of this shape
Answer:
36cm. sq.
Step-by-step explanation:
Which equation can be used to calculate the surface area of the triangular prism net show below?
The net of a rectangular prism. The rectangular sides are 10 centimeters by 13 centimeters, 10 centimeters by 12 centimeters, and 10 centimeters by 5 centimeters. The triangular sides have a base of 5 centimeters and height of 12 centimeters.
[Not drawn to scale]
a
Surface Area = (one-half) (5) (12) + (5) (10) + (12) (10) + (13) (10)
b
Surface Area = (one-half) (5) (13) + (one-half) (5) (13) + (13) (10) + (12) (10)
c
Surface Area = (2) (5) (13) + (5) (10) + (13) (10) + (12) (10)
d
Surface Area = (one-half) (5) (12) + (one-half) (5) (12) + (5) (10) + (12) (10) + (13) (10)
What is the area of the composite figure?
A trapezoid has base lengths of 12 centimeters and 13 centimeters. The other sides have lengths of 5 centimeters and 10 centimeters. A rectangle with side lengths of 2 centimeters and 5 centimeters is connected to the side with length 10 centimeters.
a
70 square centimeters
b
100 square centimeters
c
105 square centimeters
d
130 square centimeters
Answer:
the answer is a
Step-by-step explanation:
PLSSSSSS HELPPPP MEEE WITHH THISS QUESTION ASAP NO GUESSING AND ANSWER CORRECTLY!!!!!!
Which of the following can be used to describe the crowds who attended Jackson's inauguration ceremony?
A. very crowded
B. violent
C. rowdy
D. not crowded
WILL BE MARKING BRAINIEST!!!!! SO PLEASEE SHOW, EXPLAIN, AND PUT EFFORT PLSSSSSSS!!!!!!
Answer:
Andrew Jackson showed he was a man of the people. He walked to
the inauguration ceremony. He bowed to the people afterwards. Then
he was nearly killed by the thousands of people that wanted to
shake his hand afterwards. so i would say either very crowded or violent hope this helps
Step-by-step explanation:
solve similar triangles
Answer:
16
Step-by-step explanation:
What is the slope-intercept equation of the line below?
Answer:
y = -x-2
Step-by-step explanation:
We are given a slope of -1 and the y intercept of -2
The slope intercept form of the equation for a line is
y = mx+b
where m is the slope and b is the y intercept
y = -1x +-2
y = -x-2
Answer:
y=-x -2
Step-by-step explanation:
Slope-intercept form is
y=mx+b
where m is the slope and b is the y-intercept
We know that the slope is -1. We also know that the y-intercept is (0, -2). For this form, we can disregard the 0, and say the y intercept is just -2.
So, m is -1, and b is -2. Substitute the values into the equation.
y=mx+b
y=-1x+-2
Simplify
y= -x -2
This is the equation of the line in slope-intercept form.
What is the circumference of the circle?
21.18
100.17
18.21
9.11
could you guys help me find the area of these please? i don't understand how to do this
Answer:
for 9, the answer is 246.49
Step-by-step explanation:
This is area of a circle correct?
The formula is PI x radius squared.
3.14 x the radius, which is 5, squared
I am re-editing this
so sorry the answer is actually 78.54
The reason why it is 78.54 is that you need to square the radius before multiplying with PI.
Step-by-step explanation:
okay, so the area of a circle can be found with the formula πr^2
this means you have to square the radius of the circle and multiply it by pi to find your answer.
9) r=5
πr^2
π(5)^2 = 25π or about 78.54cm^2
this is how you get the area of all other circles!
10) r=9
πr^2
π(9)^2 = 81π or about 254.47mi^2
11) r=8
πr^2
π(8)^2 = 64π or about 201.06mi^2
12) r=4.5
πr^2
π(4.5)^2 = 20.25π or about 63.62in^2
13) r=6.6
πr^2
π(6.6)^2 = 43.56π or about 136.85yd^2
14) r=2
πr^2
π(2)^2 = 4π or about 12.56cm^2
15) r=9
πr^2
π(9)^2 = 81π or about 254.47in^2
16) r=7
πr^2
π(7)^2 = 49π or about 153.94km^2