let me answer the last one first
compound interest is just an exponential sequence really, where the next value is some exponential amount of the previous.
hmmm that can happen in say, a bouncing ball, the 1st bounce is high, let it keep on boucing by itself and the next bounce is usually a compounded value of the previous one, since it's smaller it'd be a Decay type of equation.
hmmm it also happens in say population growth, of any organism, humans, bees, amoebas.
now let's do the others
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$3000\\ r=rate\to 2.6\%\to \frac{2.6}{100}\dotfill &0.026\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years \end{cases} \\\\\\ A=3000\left(1+\frac{0.026}{4}\right)^{4\cdot t}\implies \boxed{A=3000(1.0065)^t} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{after 15 years}}{t=15}\hspace{5em} A=3000(1.0065)^{15}\implies A\approx 3306.19 \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$3000\\ r=rate\to 2.6\%\to \frac{2.6}{100}\dotfill &0.026\\ t=years\dotfill &15 \end{cases} \\\\\\ A=3000e^{0.026\cdot 15}\implies A=3000e^{0.39}\implies A\approx 4430.94[/tex]
If 5 apples cost $1.15, find the cost of 16 apples
Answer:
3.68$Step-by-step explanation:
If 5 apples cost $1.15, find the cost of 16 apples
we can solve with an equation5 : 1.15 = 16 : x
x = 1.15 * 16 : 5
x = 18.04 : 5
x = 3.68
check
5 : 1.15 = 16 : 3.68
4.34 = 4.34
the answer is good
Please Help
Use the probability distribution table to answer the question.
X / P
0 / 0.03
1 / 0.13
2 / 0.70
3 / 0.10
4 / 0.04
What is P(2
Considering the given discrete probability distribution, it is found that [tex]P(2 < X \leq 4) = 0.14[/tex].
What does the discrete probability distribution gives?It give the probability of each outcome, and each outcome is represented by a countable number.
The desired probability is:
[tex]P(2 < X \leq 4) = P(X = 3) + P(X = 4)[/tex]
As there is an open interval at X = 2, it does not enter the calculation. The values are:
P(X = 3) = 0.1.P(X = 4) = 0.04.Hence:
[tex]P(2 < X \leq 4) = P(X = 3) + P(X = 4) = 0.1 + 0.04 = 0.14[/tex]
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To verify the associative property of addition, begin
by finding the sum of the polynomials:
(3x + 4) + ((5x²-1) + (2x + 6))
x² +
X +
DONE
The sum of the given polynomial is 5x²- 5x +9
Sum of polynomialPolynomials are expressions with a degree of 3 and above. Given the equation shown;
(3x + 4) + ((5x²-1) + (2x + 6))
Expand
(3x + 4) + ((5x²-1) + (2x + 6))
3x + 4 + 5x²-1 + 2x + 6
Collect the like terms
5x² + 5x + 4 - 1 + 6
5x²- 5x +9
Hence the sum of the given polynomial is 5x²- 5x +9
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Help PLS ASAP!!!!!!!!!!!!
Answer:
The answer is
" THe middle triangle is scalene"
and "the right and left triangle are isosceles"
Step-by-step explanation:
This is because B, and D are wrong.
B is wrong because all three sides are different lengths
D is wrong because the right and left triangles are not equalateral
give brainliest please!
hope this helps :)
find the length of the third side round to the nearest tenth if needed . 24 10
Answer:
the length of the third side is 26
Step-by-step explanation:
By Pythagoras theorem
AC² = AB² + BC²
AC² = 10² + 24²
AC² = 100 + 576
AC² = 676
AC = √676
AC = 26
These equations represent the number of bacteria in four different dishes as a function of time, t, in days. Which equation represents the population with the greatest growth factor (also called common factor)?
SOMEONE ANSWER THIS ANS YOU’LL EARN FREE EASY POINTS FOR GIVING ME THE RIGHT ANSWER!!
The growth factor:
⇒ is the base in the exponent:
⇒ the larger it is ⇒ the greater the growth factor is!
Let's Analyze our choices:
c(t)'s growth factor: 5/2a(t)'s growth factor: 5/6d(t)'s growth factor: 3b(t)'s growth factor: 1/50The greatest growth factor is 3
Answer: d(t)
Hope that helps!
Jim is designing a seesaw for a children's park. The seesaw should make an angle of 30° with the ground, and the maximum height to which it should rise is 1 meter, as shown below:
A seesaw is shown with one end on the ground and the other in the air. The seesaw makes an angle of 30 degrees with the ground. The height of the seesaw from the ground, at the other end, is labeled 1 meter.
What is the maximum length of the seesaw?
Using the slope concept, it is found that the maximum length of the seesaw is of 1.73 meters.
What is a slope?The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
In this problem:
The vertical change is of 1 m.The horizontal change is the length l.The angle is of 30º.Hence:
tan(30º) = 1/l
l = 1/tan(30º)
l = 1.73.
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1. Sue made a cookie cake for her friend's birthday. The diameter is 8 inches. The area of the cake is
inches² (round to the nearest hundredths place)
Answer:
50.24 inches^2
Step-by-step explanation:
D=8 inches, r=D/2, r=8/2=4 inches
Area of circle= πr^2
=3.14×4×4
=3.14×16
=50.24
NEED HELP
(8.02-8.05)
Solve the systems of equations below using the method indicated in each part of the table. Be sure to show ALL your work for each method in order to get full points! (15 points)
The solutions to the systems of equations are:
1. (2, 3) (see attachment below). [one solution]
2. no solution
3. (3, 13) [one solution]
Solution to a System of Equations?The solution to a system of equations is the x-value and y-value that will make both equations true. It can be found either using a graph, by elimination method, or substitution method as explained below.
1. Using graph to solve y = 2x - 1 and y = 4x - 5:
The solution is the point where both lines intersect which is: (2, 3) (see attachment below). [one solution]
2. Solving using substitution method:
x = -5y + 4 ---> eqn. 1
3x + 15y = -1 ---> eqn. 2
Substitute x = -5y + 4 into eqn. 2
3(-5y + 4) + 15y = -1
-15y + 12 + 15y = -1
-15y + 15y = -1 - 12
0 = -13 (this shows that there is no solution)
3. Using elimination method:
14x = 2y + 16 ---> eqn. 1
5x = y + 2 ---> eqn. 2
1(14x = 2y + 16)
2(5x = y + 2)
14x = 2y + 16 ----> eqn. 3
10x = 2y + 4 -----> eqn. 4
Subtract
4x = 12
x = 12/4
x = 3
Substitute x = 3 into eqn. 2
5(3) = y + 2
15 = y + 2
15 - 2 = y
13 = y
y = 13
The solution is: (3, 13).
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5/8 multiple by 4/10
Answer:
1/4
Step-by-step explanation:
[tex]\frac{5}{8}[/tex]x[tex]\frac{4}{10}[/tex]
multiply the numerators and denominators
[tex]\frac{20}{80}[/tex]
simplify
cancel the zeros and get 2/8
then simplify to 1/4
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to multiply 5/8 times 4/10.
[tex]\triangle~\fbox{\bf{KEY:}}[/tex]
How do we multiply fractions? See below! ^-^///\\\\///\\\\////\\\\///\\\///\\\///\\\////\\\///\\\///\\\///\\\//\\\\////\\\\////\\\\///\\\\///\\\///\\\//\\
Multiplying fractions
Multiply the numerator of one fraction times the numerator of the other fraction:
5×4=20
Same with the denominator:
8×10=80
Put them together:
[tex]\pmb{\cfrac{20}{80}}[/tex]
Divide the numerator and denominator by 20:
[tex]\pmb{\cfrac{1}{4}}[/tex]
Hope it helps you out! :D
Ask in comments if any queries arise.
#StudyWithBrainly
~Just a smiley person helping fellow students :)
[tex]\bf{\overline{\underline{\overline{\underline{Maribel\:Peri}}}}[/tex]
Find the 9th term of the geometric sequence 8,32,128,
[tex]\text{First term,}~ a = 8\\\\\text{Common ratio,}~ r= \dfrac{32}8 = 4\\\\\text{nth term} = ar^{n-1} \\\\\text{9th term} = 8\cdot 4^{9-1}\\\\\\~~~~~~~~~~~~~=8 \cdot 4^8\\\\\\~~~~~~~~~~~~~=524288\\\\\text{The 9th of the geometric sequence is 525288.}[/tex]
7. What are the x- and y-intercepts for -x + 2y = 8?
O
A. x-intercept =-8; y-intercept = 4
O
B. x-intercept = 4; y-intercept = 8
O
C. x-intercept = 4; y-intercept = -8
O D. x-intercept = 8; y-intercept = -4
Answer:
the answer
Step-by-step explanation:
the answer is A
A multiple-choice examination has 10 questions, each with four possible answers, only one of which is correct. Suppose that one of the students who takes the examination answers each of the questions with an independent random guess. What is the probability that he answers at least six questions correctly?
Answer:
[tex]0.0197277[/tex]
Step-by-step explanation:
Consider the random variable X
Where X denotes the number of (success/having a correct answer)
in 10 identical and independent trials .
then
X follows the Binomial distribution with parameters
10 and p = p(success) = 1/4
[tex]p\left( X\geq 6\right) =\sum^{10}_{k=6} p\left( X=k\right)[/tex]
[tex]=\sum^{10}_{k=6} C^{k}_{10}\left( \frac{1}{4} \right)^{k} \left( \frac{3}{4} \right)^{10-k}[/tex]
[tex]=\frac{20686}{2^{20}} \\= 0.0197277[/tex]
The White Russian cocktail contains vodka, Tia Maria and milk in the ratio of 5:2:3. To make the cocktail for a party the barman used 180ml of milk. What was the total volume of the cocktail? If this was served in 60ml glasses, how many glasses would it serve?
Answer:
1) 600cm^3 2) 10 glasses
Step-by-step explanation:
x = total amount in ml
(3/10)x = 180ml (MILK)
x = 600ml
(2/10)600 = 120ml (TIA MARIA)
(1/2)600 = 300ml (VODKA)
1) 600cm^3
2) 600ml : 60ml = 10 (GLASSES)
1
Select the correct answer.
Find the quotient.
24-3÷1
7
I
=
1²
7
OA.
1(21 - 3)
OB.
71
21
3
-
O C.
21 3
-
71
OD. (213)
7
(2x² - 3x) / 7 is the quotient of the given division.
What is simplification?Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.
To divide by a fraction, we can multiply by its reciprocal. So to simplify the expression:
((2x-3)/x ) / (7/x²)
We can multiply the numerator by the reciprocal of the denominator:
((2x-3)/x ) * (x²/7)
Simplifying this expression, we can cancel out the common factor of x in the numerator and denominator:
(2x-3) * (x/7)
Expanding the product:
(2x² - 3x) / 7
Therefore, the quotient of ((2x-3)/x ) / (7/x^2) is (2x² - 3x) / 7.
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I don’t know how to solve
Answer:
line it, then try to add each number going from the top, my mother gave me that advice before, it works (:
Step-by-step explanation:
Answer:
X go's first then Y
Step-by-step explanation:
I did this before and got 100% promise and mark me brainiest
name the marked angle two different ways
tbh I have no Idea ask your mother
Simplify the expression (7 + 9i)(8 - 10i)
The simplified expression of (7 + 9i)(8 - 10i) is 146 + 2i
How to simplify the expression?The expression is given as:
(7 + 9i)(8 - 10i)
Expand the bracket
7 * 8 + 9i * 8 -7 * 10i - 9i * 10i
Evaluate the products
56 + 72i -70i - 90(i²)
Evaluate the difference
56 + 2i - 90(i²)
In complex numbers;
i² = -1
So, we have:
56 + 2i - 90(-1)
Evaluate
56 + 2i + 90
Add the like terms
146 + 2i
Hence, the simplified expression of (7 + 9i)(8 - 10i) is 146 + 2i
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Pls help me with my math
Answer:a
Step-by-step explanation:Bottom line includes the end point so should be less than or equal. Top line does not so should be greater than
Can someone explain how to get the answer I’m confused on how to solve
Answer:
x=29
Step-by-step explanation:
The square notation indicates 90 degrees.
90=(x+3)+(x-1)+(x+1)
90=3x+3
87=3x
x=29
Answer:
x = 29
(x + 3)° = 32°
(x - 1)° = 28°
(x + 1)° = 30°
Step-by-step explanation:
(x + 3)° + (x - 1)° + (x + 1)° = 90°-> (x + x + x +3 -1 + 1)° = 90°-> (3x + 3)° = 90°-> 3x + 3= 90-> 3x = 90 - 3-> 3x = 87-> x = 87/3-> x = 29-> (x + 3)° = (29 + 3)° = 32°-> (x - 1)° = (29 - 1)° = 28°-> (x + 1)° = (29 + 1)° = 30°círculo de diámetro de 9 cm calcular radio perímetro y area doy corona
Answer:
Radio
r=4.5cm
Area
63.62cm2
Perímetro
C≈28.27cm
if a person paid rs 32 as VAT to buy an article of cost Rs 2750 then how much money he /she pay? find it
The total amount paid for the article is Rs2782
How to determine the amount paid?The given parameters are:
Article = Rs 2750
VAT = Rs 32
The amount paid is calculated using:
Amount = Article + VAT
This gives
Amount = 2750 + 32
Evaluate
Amount = 2782
Hence, the total amount paid for the article is Rs2782
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This figure represents a small collectible box. Vicki wants to cover 45 of the surface with glitter.
How much of the total surface will be covered with glitter?
Enter your answer as a decimal or mixed number in simplest form in the box.
cm²
Right trapezoidal prism. The height of the trapezoid base is labeled 4 centimeters. The larger base is labeled 6 and 1 half centimeters, and the shorter base is 5 and 1 fourth centimeters. The two legs of the trapezoid are labeled 4 centimeters and 4 and 1 fifth centimeters. The height of the prism is labeled 9 centimeters.
PLease helpppp!! only have 2 minutesd
Answer:
181.24
Step-by-step explanation:
The total surface area of the Trapezoidal Prism to be covered is: 181.24 cm².
What is the Surface Area of a Trapezoidal Prism?Surface Area = 2(area of trapezoid) + area of the 4 rectangular faces.
Area of Rectangle 1 = length × width = 9 × 4 = 36 cm²
Area of Rectangle 2 = length × width = 9 × 5 1/4 = 47.25 cm²
Area of Rectangle 3 = length × width = 9 × 4 1/5 = 37.8 cm²
Area of Rectangle 2 = length × width = 9 × 6 1/2 = 58.5 cm²
Area of the two trapezoids = 2[1/2(a + b)h] = 2[1/2(6½ + 5¼)4] = 47 cm²
Surface area = 36 + 47.25 + 37.8 + 58.5 + 47 = 226.55 cm²
Total surface that will be covered = 4/5(226.55) = 181.24 cm²
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What do you think are the biggest advantages & disadvantages regarding the kind of technology we have access to in the early 21st century?
The advantages and disadvantages of the kind of technology we have access to in the early 21st century include:
Advantages:
The improvement of productivity.
Better and easier communication between people.
Disadvantages:
Can be bad for the environment.
Technology might be able to replace humans in jobs.
What is technology?Technology is the result of accumulated knowledge and the application of skills, and processes used in industrial production and scientific research.
Technology is embedded in the operation of all machines for the intended purpose of an organization.
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Point G is on line segment FH. Given FG = 10 and GH =
10 and GH = 5, determine the
length FH.
Answer:
FH = 15
Step-by-step explanation:
G is lying between the point F & H on the line FH.
So, the distance of FH will be given by the sum of distance of FG and GH.
FH = FG + GH
= 10 + 5
= 15
Opinions about a current event issue are recorded through responses given on a website. Opinions gathered in this fashion are an example of a ______________.
A. random sample
B. stratified random sample
C. self-selecting sample
D. systematic sample
Answer:
this is one of systematic sample and correct option is d
Kurt and Courtney are playing basketball. Kurt makes 2 baskets in the first game and 4 baskets in each game after that. Courtney makes 4 baskets in the first game and 2 baskets in each game after that. The table below shows the number of baskets each made in the first 4 games. Which graph shows the ordered pairs of the total number of baskets each has made after each game?
Answer:
Kurt 10 Courtney 10 Mark brainiest
Step-by-step explanation:
I did this too
Answer:
they each have 10 if you count mark me brainiest, please
Step-by-step explanation:
I have 23 hundredths and 12 tenths. Who am I? Convince by using Base 10 Blocks
Answer:
1.43
Step-by-step explanation:
12 tenths ⇒ 1.2
23 hundredths ⇒ 0.23
0.23 + 1.2 = 1.43
Does the equation xy + 6y = 9 define y as a function of x?
O Yes
O No
Answer:
no. a function doesnt contain an = sign
Step-by-step explanation:
Answer:
Yes, it is a function.
Explanation:
xy + 6y = 9
y(x + 6) = 9
y = 9/(x + 6)
It is a inverse variation function.
Where equation: xy = k ["k" is constant]
Each value of x corresponds to a single value of y.A car and a motor bike are priced at $33090. If the value of the car is three times the value of the motor bike, how much is the car worth?