Answer:
The final balance is £20,489.21.
The total compound interest is £10,489.21
Step-by-step explanation:
pretty sure you know the answer after you round this
Which choice is equivalent to the expression below?
Answer:
[tex]\text{A. 8}i[/tex]
Step-by-step explanation:
The math constant [tex]i[/tex] represents [tex]\sqrt{-1}[/tex]. Because [tex]\sqrt{a\cdot b}=\sqrt{a}\cdot\sqrt{b}[/tex], we can rewrite the equation given the problem as [tex]\sqrt{-64}=\sqrt{64}\cdot \sqrt{-1}=\boxed{8i}[/tex].
Some steps to rewrite the expression x3 − 16x + x2 − 16 as a product of three factors are shown below:
Step 1: x3 − 16x + x2 − 16
Step 2: x3 + x2 − 16x − 16
Step 3: x2(x + 1) − 16(x + 1)
Which of the following best shows the next two steps to rewrite the expression?
Step 4: (x2 + 16)(x + 1); Step 5: (x + 4)(x + 4)(x + 1)
Step 4: (x2 − 16)(x + 1); Step 5: (x + 4)(x + 4)(x + 1)
Step 4: (x2 − 16)(x + 1); Step 5: (x − 4)(x + 4)(x + 1)
Step 4: (x2 + 16)(x + 1); Step 5: (x − 4)(x + 4)(x + 1)
Answer:
third one
Step-by-step explanation:
the third one should be the answer
step 4 came out becoz of taking the common factor(x+1) and combining x2 and (-16)
Step 5 came out becoz of the theory of (a^2-b^2) = (a+b)(a-b)
ps 16 here is equal to 4^2
HIYAAAAAAA I 'OPE YOUR ALL WELL THE PROBLEM IS THAT I STUGGLE WITH MATHS...
Trust me, you're not the only one who's bad at math. '-'
Please help me with this i didn’t get the answer
A random sample of 500 women and 500 men who eamed degrees in science and engineering (S&E) were asked if they work
In an S&E occupation. The results of the survey are shown.
S&E Occupations Non-S&E Occupations Total
Women
76
424
500
Men
169
331
500
Total
245
755
1000
A person from the survey is randomly selected. What is the probability of each event below?
Drag tiles to the empty boxes to create your answers.
• The probability that a randomly selected person works in an S&E occupation is
• The probability that a randomly selected person is a woman and works in an S&E occupation is
• The probability that a randomly selected person is a woman or works in an S&E occupation is
76
245
500
669
745
Answer:
0.245 ; 0.76 ; 0.669
Step-by-step explanation:
Occupations S&E Non S &E Total {Gender wise}
Women 76 424 500
Men 169 331 500
Total {occupation wise} 245 755 1000 [Grand Total]
1) Probability (any person in S & E) = Total people in S & E / Total people = 245 / 1000 = 0.245
2) Prob (woman & works in S & E) , ie P (W ⋂ S) = Total women in S & E / Total people = 76 / 100 = 0.76
3) Prob (woman or works in S & E), ie P (W U S) = P( Women) + P (S & E) - Prob (Women & SE), ie P (W) + P (S &E) - P (W ⋂ S) = ( 500 + 245 - 76 ) / 1000 = 669 / 1000 = 0.669
The probability that a randomly selected person works in an S&E occupation is 0.245.
The probability that a randomly selected person is a woman and works in an S&E occupation is 0.12.
The probability that a randomly selected person is a woman or works in an S&E occupation is 0.745
What are the probabilities?
Probability determines the odds that an event would happen.
The probability that a randomly selected person works in an S&E occupation = total number of people that work in SE / total number of people= 245 / 1000 = 0.245.
The probability that a randomly selected person is a woman and works in an S&E occupation = (number of women / total number of people surveyed) x (number of people that work in SE / total number of people surveyed)
500 / 1000 x (245 / 1000) = 0.12
The probability that a randomly selected person is a woman or works in an S&E occupation = (number of women / total number of people surveyed) + (number of people that work in SE / total number of people surveyed)
= 500 / 1000 + (245 / 1000) = 0.745
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what is the area for a radius of 8 mm
Answer:
A= 201.06
Step-by-step explanation:
A = pi r^2
A = pi x 8 x r^2 = 201.06
Find the values of x and y. Write your answers in simplest form.
Answer:
To find X you'll need this formula Tan 30, and this one to find y cos 30.
Step-by-step explanation:
tan 30 = 9 / x.
tan 30*x = 9
x = 9 / tan 30
x = 15.58
To find y, the value of X will be needed, which is 15.5 that we just found.
Cos= A/H
Cos 30 = 15.58/ y
Cos 30 * y = 15.58
y = 15.58/ cos 20
y = 17.99
[Easy Points] Kanna Kamui sees 3 snowmen. Then he sees 2 more. How many snowmen did Kanna see in all?
Answer:
the correct answer is 5 snowmen
vertex of the graph of x^2 + 8x + 12=0
Answer:
Step-by-step explanation:
Hope this helps u!!
help me plz I will give 20 point
Answer:
1) If we have a point (x, y), the angle between the x-axis and a ray that goes from the origin to the point is defined by:
cos(θ) = x/(√(x^2 + y^2))
sin(θ) = y/(√(x^2 + y^2))
Then for the point:
(√(7)/4 , 3/4)
x = √(7)/4
y = 3/4
√(x^2 + y^2) = √((√(7)/4)^2 + ( 3/4)^2) = (1/4)*√(7 + 9) = 1
Then replacing these values in the above equations for the cosine and sine functions, we get:
cos(θ) = x/(√(x^2 + y^2)) = (√(7)/4)/1 = √(7)/4
sin(θ) = y/(√(x^2 + y^2)) = (3/4)/1 = 3/4
2) To find the period, we just need to find the distance between two peaks, or two x-intersects (such that the slope is the same).
Let's look at the graph.
We can see that at x = 0, the graph intersects the x-axis and increases
The next point where this happens is at x = π/3
Then the period of this function is:
P = π/3 - 0 = π/3
The period is π/3
Are the dotted lines in the shape parallel, perpendicular or intersecting?
Answer:
Parallel
Step-by-step explanation:
The dotted lines are parallel because they have the same gradient to each other, this means the two dotted lines will never touch each other.
Have a great day <3
Find the area of a trapezoid with base 1 is 10 cm, base 2 is 12 and the height is 8
Answer:
88 sq cm
Step-by-step explanation:
A=(b1+b2) x H divided by 2
If the area of a triangle is 15 cm squared, and the base is 2 cm, then what is the height?
Please answer asap.
Answer:
15
Step-by-step explanation:
To find the area of an triangle use the formula BH(1/2) in this case
The base is 2 so the height must be 15 because 2 times 15 is 30 divided by 2 is 15
Tell me if I'm wrong if not
Hope this helped :]
The height of the triangle is 15 centimeters.
Given the following data:
Area of a triangle = 15 cm squaredBase of a triangle = 2 cmTo find the height of the triangle:
Mathematically, the area of a triangle is given by the formula;
[tex]Area \;of\; a \;triangle = \frac{1}{2}[/tex] × [tex]base[/tex] × [tex]height[/tex]
Substituting the values into the equation, we have;
[tex]15 = \frac{1}{2}[/tex] × [tex]2[/tex] × [tex]height[/tex]
Height = 15 cm
Therefore, the height of the triangle is 15 centimeters.
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Does anyone know how to solve this?
Step-by-step explanation:
Strictly increasing functions:
Let a function f(a) for x = a, then,
f(a + h), for x = a + h,
If f(a + h) > f(a), we say this a strictly increasing function, as with increase in x, f(x) also increases.
In the given graph, there are straight lines so you can say increasing interval would have +ve slope.
For x = -4 to 0, it increases = [-4, 0]
For x = 2 to 5, it increases = [2, 5]
Answer: [-4, 0], [2, 5]
pls pls help me pls
Patricia is testing some mineral properties to help her identify each mineral. For one test, she scrapes a mineral on a special plate to observe the color left behind.
For which of the following properties of minerals is she MOST LIKELY using this test?
Group of answer choices
cleavage
hardness
luster
streak
Keesha is conducting several tests on minerals to help identify them. She uses a small hammer to break the mineral. Which property of the mineral might Keesha be testing?
Group of answer choices
cleavage
texture
luster
streak
Haley tests the streak of two mineral samples using a streak plate. Both minerals leave a pale yellow streak. Which of the following might Haley conclude about the two mineral samples?
Group of answer choices
They both have dull luster.
They are very soft minerals.
They could be the same mineral.
They are both very hard.
The students in Mr. Leone’s class are studying rocks. The students tell Mr. Leone that several of their rocks are sedimentary. Which of the following could the students use as evidence for their thinking?
Group of answer choices
The rocks are grainy.
The rocks contain fossils.
The rocks are heavy.
The rocks have large crystals.
Answer: Hope This Helps!
Step-by-step explanation:
1: Streak: Streak is a word referring to the color of the streak that a rock makes when it is scraped against the unglazed side of a white ceramic tile (or, the unglazed bottom of a white coffee cup or toilet tank cover).
2: Luster: The luster of a mineral is best observed on a surface that is free of moisture, dirt, tarnish, and abrasion. Geologists in the field usually carry a rock hammer to break rocks so that their true luster and color can be observed.
3: They could both be the same mineral: The minerals pyrite and gold are always metallic yellow in color and streak (although they differ in other characteristics such as hardness).
4: The rocks contain fossils: Sedimentary rocks are most likely to contain fossils. Fossils are formed when the bodies or remnants of living organisms (plants and animals) are covered and are thus protected from predators or microbial decay. And thats exactly what a sedimentary rock is.
Pls help asap i have to turn in in 30 minutes will give brainliest
Natalie is making 1 1/2 the brownie recipe.The recipe calls for 2 1/2 cups of sugar.How many cups of sugar should she use?Pls hurry or i get 0%
What is the surface area of the prism?
1.
5 in.
4 in.
5 in
Answer:
140
Step-by-step explanation:
What’s the answer and how do you figure these out?
HELP ME HELP ME HELP ME
Answer:
???
Step-by-step explanation:
SHOW YOUR WORK. The volume of the cylinder is 235.6 ft cubed. Find the height.
Answer:
Answer: 3 feet
Step-by-step explanation:
Here's the complete question:
The volume of the cylinder is 235.6 cubic feet the radius is 5ft. Find the height.
Note that Volume of a cylinder = πr²h
where Volume = 235.6 feet³
Radius = 5 feet
Height = Unknown
Then, we put the values back into the question and this will be:
V = πr²h
235.6 = 3.14 × 5² × h
235.6 = 3.14 × 25 × h
235.6 = 78.5 × h
h = 235.6 / 78.5
h = 3 feet
The height is 3 feet
Step-by-step explanation:
Please help!
A rectangular tabletop has an area of.......
[tex]t^2+2t-99[/tex]
What are the possible dimensions of the tabletop? Use factoring.
The order doesn't matter, so you could say "t+11 and t-9" to mean the same thing.
=======================================================
Explanation:
Think of two numbers that multiply to -99, but also add to 2. In other words, find two factors of -99 which add to 2. We'll use trial and error.
Here are all the ways to multiply to -99 using integers only:
1 and -993 and -339 and -1111 and -933 and -399 and -1Add up each factor pair to see which sum is equal to 2.
1 + (-99) = -983 + (-33) = -309 + (-11) = -211 + (-9) = 2 is what we want33 + (-3) = 3099 + (-1) = 98We can see that 11 and -9 are the two numbers we're after, so therefore, t^2+2t-99 factors to (t-9)(t+11). The order doesn't matter with the factor multiplication.
As a more efficient alternative method, you can use the quadratic formula to solve t^2+2t-99 = 0 to end up with t = 9 and t = -11. That would lead to the two equations t-9 = 0 and t+11 = 0. Applying the zero product property then gets us (t-9)(t+11) = 0.
To help show that (t-9)(t+11) becomes t^2+2t-99, you can use the FOIL rule to expand that factorization out. This is one way to verify the answer.
1) Jack wants to buy a new smart phone for
£495. He has already saved £108.
Each week he earns £60.
He saves 40% of his earnings.
How many more weeks must he save for?
(4 marks)
Answer:
17 weeks
Step-by-step explanation:
Amt. of money left to save
£495 - £108 = £387
Amt. of money he saves each week
40/100 x £60 = £24
Ans: 387/24 = 16.125
= 17 weeks
16 x £24 = £384(not enough, must save one more week)
Consider a sphere with a volume of 36,000 π cubic centimeters.
Find the radius of the sphere. Be sure to use the correct unit in your answer.
Answer:
30 cm
Step-by-step explanation:
[tex]Vol. of a sphere (4/3) \pi r^3=36000 \pi \\r^3=36000*3/4=27000\\r=30 cm\\[/tex]
This is the last question from me
Answer:
[tex] {4}^{4} [/tex]Step-by-step explanation:
[tex] \frac{ {4}^{9} }{ {4}^{5} } [/tex][tex]{4}^{9 - 5} [/tex]
[tex] {4}^{4} [/tex]
Hope it is helpful....Write the following in scientific notation:
1. 5,400,000,000.=
Answer:
5.4x10^9
Step-by-step explanation:
The box plot below represents some data set. What percentage of the data values are less than 46?
Answer: 25%
Step-by-step explanation:
Qadaria is planting a flower garden in the shape of a right triangle in the back corner of her yard. The two sides shown are 7 feet and 8 feet. She would like to put a small fence around the garden, what is the approximate length, in feet, of the fence?
Answer:
first find the length of the hypotenuse,
a²+b²=c²
7²+8²=113
√113=10.63
perimeter=sum of all sides
10.63+7+8
=25.63
Please help!!! Will mark brainliest!
Answer:
2 x 7 = 5 x 3
Step-by-step explanation:
13. Based on the pattern, what are the next two terms of the sequence?
2, 7, 12, 17,...
A. 85, 425
B. 22, 425
C. 22, 27
D. 27, 32
Answer:
C. 22, 27
Step-by-step explanation:
Its adding +5
Answer:
The correct Answer is the letter C.
Step-by-step explanation:
The sequence shows adding 5 to the first number and continue to the next answer.
2 + 5 = 7
7 + 5 = 12
12 + 5 = 17
the next two terms are 22 and 27
17 + 5 = 22
22 + 5 = 27
HOPE IT HELPS
(FROM CROSS)
A marine biologist compared two large pools that could be used for a new dolphin training arena. Pool A held 2 x 10¹⁰ gallons, and pool B held 2 x 10⁸ gallons. How many times more gallons will the larger pool hold than the smaller pool?
O4
O 20
O 100
O 200
Answer:
20
Step-by-step explanation:
2 x 10 = 20
divided by 4 = 5
The larger pool will hold is 100 times more gallons than the smaller pool
What is capacity and measurement?From the question, we are to determine how many times more gallons the larger pool holds than the smaller pool
From the given information,
Capacity of the larger pool = 2 × 10¹⁰ gallons
Capacity of the smaller pool = 2 × 10⁸ gallons
To determine how many times more gallons the larger pool holds more than the smaller pool, we will simply divide the capacity of the larger pool by the capacity of the smaller pool
That is,
[tex]\frac{2 \times 10^{10} }{2 \times 10^{8}}[/tex]
= 10²
= 100
Hence, the larger pool will hold is 100 times more gallons than the smaller pool.
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