Answer: X and Y
Step-by-step explanation: IF I REMEMBER dont get mad if you don’t get it right
how much money deposited now will provide payment of Rs. 15000 at the end of each half year for 10 years, if interest is 16% compounded six-monthly
The amount of money that will produce Rs. 15000 at the end of 6 month for 10years at 16% is Rs. 3750
What is Compound interest?Compound interest is the interest you earn on interest.
For example, if you have $100 and it earns 5% interest each year, you'll have $105 at the end of the first year. At the end of the second year, you'll have $110.25.
Compound interest is expressed as;
A = P( 1+r/n) ^{nt}
where A is the amount
n is the number of time its compounded
t is time
A = 15000
r = 16/100 = 0.16
n = 6/12 = 0.5
t = 10 years
15000 = P( 1 + 0.16/0.5) ^{ 0.5× 10}
15000 = P( 1 + 0.32)⁵
15000 = P( 1.32)⁵
15000 = 4P
P = 15000/4
P = Rs. 3750
Therefore the amount that will be deposited to give Rs. 15000 is Rs. 3750.
learn more about compound interest from
https://brainly.com/question/24274034
#SPJ1
Right triangle EFG has its right angle at F, EG = 6 , and FG = 4 What is the value of the trigonometric ratio of an angle of the triangle? Drag a value to each box to match the trigonometric ratio with its value .
Answer:
\(\cos G=\dfrac{2}{3}\)
\(\csc E=\dfrac{3}{2}\)
\(\cot G=\dfrac{2}{\sqrt{5}}\)
Step-by-step explanation:
If the right angle of right triangle EFG is ∠F, then EG is the hypotenuse, and EF and FG are the legs of the triangle. (Refer to attached diagram).
Given ΔEFG is a right triangle, and EG = 6 and FG = 4, we can use Pythagoras Theorem to calculate the length of EF.
\(\begin{aligned}EF^2+FG^2&=EG^2\\EF^2+4^2&=6^2\\EF^2+16&=36\\EF^2&=20\\\sqrt{EF^2}&=\sqrt{20}\\EF&=2\sqrt{5}\end{aligned}\)
Therefore:
EF = 2√5FG = 4EG = 6\(\hrulefill\)
To find cos G, use the cosine trigonometric ratio:
\(\boxed{\begin{minipage}{9 cm}\underline{Cosine trigonometric ratio} \\\\$\sf \cos(\theta)=\dfrac{A}{H}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)
For angle G, the adjacent side is FG and the hypotenuse is EG.
Therefore:
\(\cos G=\dfrac{FG}{EG}=\dfrac{4}{6}=\dfrac{2}{3}\)
\(\hrulefill\)
To find csc E, use the cosecant trigonometric ratio:
\(\boxed{\begin{minipage}{9 cm}\underline{Cosecant trigonometric ratio} \\\\$\sf \csc(\theta)=\dfrac{H}{O}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)
For angle E, the hypotenuse is EG and the opposite side is FG.
Therefore:
\(\csc E=\dfrac{EG}{FG}=\dfrac{6}{4}=\dfrac{3}{2}\)
\(\hrulefill\)
To find cot G, use the cotangent trigonometric ratio:
\(\boxed{\begin{minipage}{9 cm}\underline{Cotangent trigonometric ratio} \\\\$\sf \cot(\theta)=\dfrac{A}{O}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)
For angle G, the adjacent side is FG and the opposite side is EF.
Therefore:
\(\cot G=\dfrac{FG}{EF}=\dfrac{4}{2\sqrt{5}}=\dfrac{2}{\sqrt{5}}\)
The tangent of the curve f(t) =2+nt+mt^2 at point (1,1/2) is parallel to the normal g(t)= t^2+6t+13(-2,2), calculate the values m and n.
Step-by-step explanation:
The slope of g(t) as (-2,2) is given by
\(g'(t)=2t+6\)
\(g'(-2)=2(-2)+6=2\)
Since the normal is parallel to the tangent of f(t) at (1, 1/2),
The tangent line of f(t) has a slope of
\(\dfrac{d}{dx}f(t)=n+2mt=2\)
At point (1, 1/2), we know
\(f'(1)=n+2m=2\)
\(f(1)=2+n(1)+m(1)^2=2+n+m=\frac12\)
Solving,
\(n=5, m=-\frac72\)
What is 3/7 - 1/4? .....
Answer:
Exact Form: 5/28
Decimal Form: 0.17857
What is the run of y= 1/4x-3
Answer:
The 'run' must be 4.Step-by-step explanation:
We know that:
Slope formula = Rise/RunSlope = m = 1/4Let's compare with the slope in the equation and the slope formula.
Rise/Run = 1/4=> Run = 4Hence, the 'run' must be 4.
Hoped this helped.
\(BrainiacUser1357\)
How many solutions does the equation 5x + 3x − 4 = 10 have?
Group of answer choices
One Solution
Infinite Solutions (All real numbers)
No Solution
The given equation have only one solution, x = 1.75
Given,
The equation; 5x + 3x - 4 = 10
We have to find the number of solutions for this equation;
Solve the equation first;
That is,
5x + 3x - 4 = 10
8x - 4 = 10
Add 4 to both sides
8x - 4 + 4 = 10 + 4
We get,
8x = 14
Now divide with 8 on both sides
8x/8 = 14/8
We get,
x = 1.75
That is,
The equation 5x + 3x - 4 = 10 has only one solution.
Learn more about number of solutions here;
https://brainly.com/question/12734349
#SPJ1
Sam's parents gave him a map to reach his house. He is 1.5cm from his home. If each 3 cm on scale drawing equals 5 km, how far is he from the house?
Answer: Sam was 2.5 Km far from his house
Step-by-step explanation:
Sam's parents gave him a map to reach his house.
As per Map Sam was =1.5cm from his home.
To find actual distance from house
If we consider actual distance of sam house =X
We have,
If each 3 cm on scale drawing equals 5 km
We know on map 3cm = 5Km
If 1.5 cm = X Km
We need to cross multiple
3X =1.5 × 5
3X = 7.5
X= 7.5÷3
X= 2.5 Km
Sam was 2.5 Km far from his house.
Learn more about area here https://brainly.in/question/2001177
#SPJ9
suppose that there are 5 children in a gymnastics class. one day, they count the number of steps each persontakes while walking on their hands until they lose balance and come down. the results are: ashley (20),brittany (8), carol (22), darla (26), and erica (24).the mean number of steps these children took whilewalking on their hands is 20 steps.
The population is the number of children in gymnastic class = 5.
A parameter is the mean number of steps taken by the 5 children.
What is a parameter?
Four parameters, referred to as hybrid or h Parameters, can be used to assess any linear circuit with input and output terminals. These parameters are one measured in ohm, one in mho, and two dimensionless. Hybrid is short for "mixed." These parameters are referred to as hybrid parameters since they have dual dimensions
Here, we have
Given that,
Suppose that there are 5 children in a gymnastics class.
One day, they count the number of steps each person takes while walking on their hands until they lose balance and come down.
The mean number of steps these children took while walking on their hands is 20 steps.
We have to find the population and parameters.
The area of interest is a particular gymnastic class, therefore all individuals or children belonging to this particular gymnastic class make up the population.
Population = number of children in gymnastic class = 5.
Parameter = mean number of steps taken by the 5 children.
Hence, Population is the number of children in gymnastic class = 5.
A parameter is the mean number of steps taken by the 5 children.
To learn more about the parameter from the given link
https://brainly.com/question/2292917
#SPJ1
Lianna scored 2125 points. Liam scored 2/5 as many points as Lianna. If they combine their points how many more would they need to reach 3000 points
Answer:
25 points
Step-by-step explanation:
2/5 of 2125 =2 ×2125 :5 =4250 :5 =850 points Liam
2125 +850 =2975 points (Liam and Lianna)
3000 - 2975 =25 points they need
These points are linear.
Find the slope.
x -2 -1 0 1 2
y -7 0 7 14 21
Answer:
7
Step-by-step explanation:
use the equation y2 - y1/ x2 - x1 to find the slope
-7 - 0/-2 - (-1)
-7/-1
7
y = 7x + b
if you want to check we have to find the y-intercept
(i can also show how to find it if you want :D)
Simplify Simplify: (h^(1/3))/(h^(1/4))
Answer: b
Step-by-step explanation:
\(\frac{h^{\frac{1}{3} } }{h^{\frac{1}{4} } }\) I started to subtract exponents than shortly realized that form is not an answer. The want you to covert the top and bottom to roots and that is your anser.
When you have a number to a fractional exponent that is your root
\(=\frac{\sqrt[3]{h} }{\sqrt[4]{h} }\)
which is b
Please answer this correctly
Answer:
Cable: 10% Satellite: 40% Streaming Service: 50%
Step-by-step explanation:
There are 10 friends
1 has cable
4 have satellite
5 have streaming service
Which means:
Cable is 10%
Satellite is 40%
Streaming Service is 50%
Answer:
Cable Television: 10%
Satellite Television: 40%
Streaming Service: 50%
Step-by-step explanation:
Cable television: \(\frac{1}{1+4+5} =\frac{1}{10} =\frac{10}{100}\) or 10%
Satellite television: \(\frac{4}{1+4+5} =\frac{4}{10} =\frac{40}{100}\) or 40%
Streaming service: \(\frac{5}{1+4+5} =\frac{5}{10} =\frac{50}{100}\) or 50%
HELP PLEASE Find the surface area of the 3D shape.
Answer:
88 cm^2
Step-by-step explanation:
Answer:
Its totally (A) 88cm2
Step-by-step explanation:
Cause i got it right
If answer is correct I will mark as brainliest
The second step in the process for factoring the trinomial x^2-3x-40 is to:
A. list all the factors of 3
B. list all the factors of 40
C. find the sum of the factors of 40
D. find the sum of the factors of 3
Answer:
B. List all the factors of 40
Step-by-step explanation:
I GOT THE ANSWER RIGHT
a car uses 1 9/8 of gasoline to travel 50 3/4. how far can the car travel in miles on 1 gallon of gasoline
Answer: 30 miles
Step-by-step explanation:A typical car can travel 30 miles on just one gallon of gasoline
find the mean and median of each sample data set
Answer:
1)Given data is
3,6,0,2,5,1,8
To find mean and median
we know that,
the arithmetic mean, also called the mathematical expectation or average, is the central value of a discrete set of numbers
Mean is
\(\frac{3+6+0+2+5+1+8}{7}\)\(=\frac{25}{7}\)Mean=3.57
The median is the value separating the higher half of a data sample, a population, or a probability distribution, from the lower half. In simple terms, it may be thought of as the "middle" value of a data set.
Median
0,1,2,3,5,6,8
Median is 3
How do I simplify this radical?
Answer:
Step 1: Find the prime factorization of the number inside the radical. Step 2: Determine the index of the radical. In this case, the index is two because it is a square root, which means we need two of a kind. Step 3: Move each group of numbers or variables from inside the radical to outside the radical.
meow help me in math
Part (a)
Answer: 87------------------
Work Shown:
v = u + a*t
v = 7 + 10*8 ... plug in the given values
v = 7 + 80
v = 87
==================================================
Part (b)
Answer: 10------------------
Work Shown:
v = u + a*t
80 = 20 + 6*t .... plug in the given values
80-20 = 6t .... subtracting 20 from both sides
60 = 6t
6t = 60
t = 60/6 .... divide both sides by 6
t = 10
Answer:
first person is write
Step-by-step explanation:
The diagrams shows the dimensions of an outdoor deck. The deck is going to be coated with a water sealer. A one-gallon container of water sealer costs $34 and covers approximately 200 square feet. What is the cost to buy enough containers of water sealer for the deck?
A. $34
B. $68
C. $83
D. $102
match the function equations to their graphs. please help!
Answer:
y goes from the top to the bottom postive to negative. Then x is from left to right. The left is negative the right is postive.
Step-by-step explanation:
For right triangle ABC, find the sine ratio of angle θ.
The sine ratio of angle θ is 4/5 because sin is the ratio to opposite to the hypotenuse.
What is a right-angle triangle?It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
We have a right angle triangle showing in a picture.
As we know, the sin is the ratio to opposite to the hypotenuse.
Sinθ = 4/5
Thus, the sine ratio of angle θ is 4/5 because sin is the ratio to opposite to the hypotenuse.
Learn more about the right angle triangle here:
brainly.com/question/3770177
#SPJ1
Gabriela has dinner at a cafe and the cost of her meal is \$45.00$45.00dollar sign, 45, point, 00. Because of the service, she wants to leave a 15\%15%15, percent tip.
What is her total bill including tip?
9514 1404 393
Answer:
$51.75
Step-by-step explanation:
The multiplier of the bill with the tip added is 1 +15% = 1.15.
1.15×$45 = $51.75 . . . . Gabriela's total bill
Two paperback books cost a total of
$10. How much change will Stacy get if
she buys two hardcover books and two
paperback books and gives the clerk
three $20 bills?
Answer:
20 dollars
Step-by-step explanation:
I think 20+20+20=60 then 60-40=20
A ferris Wheel has a radius of 65 feet. What is the circumference of the wheel?
Circumference of the wheel = 408.2 ft
Explanation:radius = 65 ft
Circumference of the wheel = circumference of a circle
Circumference of a circle = 2πr
π = 3.14
Circumference of a circle = 2 × 3.14 × 65
Circumference of a circle = 408.2 ft
Circumference of the wheel = 408.2 ft
What is the purpose of data? Answer below.
The purpose of data is to provide information and insights that can be used to make informed decisions, draw conclusions, and gain knowledge about a particular subject or phenomenon.
Data plays a crucial role in various fields, including science, business, research, healthcare, and everyday life.One primary purpose of data is to describe and understand the world around us.
By collecting and analyzing data, we can identify patterns, trends, and relationships that exist within a dataset. This helps us gain a deeper understanding of complex systems and phenomena.
For example, in scientific research, data is used to study the behavior of natural processes, investigate the effects of interventions, and formulate theories and models.
Data also serves as a foundation for making informed decisions. By examining relevant data, individuals and organizations can assess the potential outcomes of different choices and select the most optimal course of action.
Data-driven decision-making enables organizations to improve efficiency, identify opportunities, mitigate risks, and enhance overall performance. In fields like marketing and finance, data is extensively used for market research, customer segmentation, trend analysis, and financial forecasting.
Furthermore, data is crucial for monitoring and evaluating performance. By collecting data over time, organizations can track progress, measure outcomes, and identify areas for improvement. Data-driven monitoring allows for evidence-based assessments and adjustments to strategies or interventions.
Overall, the purpose of data is to provide reliable information that can be used to enhance understanding, support decision-making, and drive progress in various domains. It empowers individuals and organizations with the ability to derive insights, solve problems, and make meaningful contributions to society.
For more such questions on data.
https://brainly.com/question/30459199
#SPJ8
Select whether each of these factors was a reason for or against American neutrality. US trade with Europe was worth almost one billion dollars. for against Intro
________________________
Sunny ko behan mil gayi sonali ✨
The United States' decision to remain neutral was motivated by its over $1 billion in annual trade with Europe.
Why did American neutrality benefit from commerce with Europe?Early 20th-century American trade with Europe helped the US remain neutral by enabling it to maintain business ties with both the Allied and Central Powers.
The US was able to avoid taking a political stance and maintain its neutral status by supplying goods to both sides of the conflict. Additionally, trade helped the US maintain its economic stability because it would have been detrimental to the nation's economy to break off trade with one party.
To know more about annual trade visit:-
https://brainly.com/question/29297706
#SPJ1
solve the inequality and graph the solution.
4 |3x + 5| ≤ 16
The solution to the inequality is -3 ≤ x ≤ -1/3
Solving inequality with modulusGiven the inequality:
4|3x+5| ≤ 16
Let us simplify it by dividing both sides by 4 to get:
|3x+5| ≤ 4
Next, we can break the inequality into two cases, depending on whether 3x+5 is positive or negative:
First: 3x+5 ≥ 0
In this case, the inequality simplifies to:
3x+5 ≤ 4
Subtracting 5 from both sides, we get:
3x ≤ -1
Dividing by 3 (which is positive) gives:
x ≤ -1/3
Second: 3x+5 < 0
In this case, the inequality simplifies to:
-3x-5 ≤ 4
Adding 5 to both sides, we get:
-3x ≤ 9
Dividing by -3 (which is negative and requires us to flip the inequality), gives:
x ≥ -3
Therefore, the solution to the inequality is:
-3 ≤ x ≤ -1/3
The interval [-3,-1/3] is the solution set, and it includes all values of x between -3 and -1/3, including the endpoints.
Learn more about inequality here:
https://brainly.com/question/24372553
#SPJ1
Active
Multiplying a Binomial by a Binomial
Warm-Up
BRES
Multiply: (3x - 5)(-x+4)
Applying the distributive property, the expression becomes (3x)(-x) + (3x)(4) + (-5)(-x) + (-5)(4).
What is the simplified product in standard form?
1-34
7
Given:
Multiply: \((3x-5)(-x+4)\).
To find:
The simplified product in standard form.
Solution:
We have,
\((3x-5)(-x+4)\)
Applying the distributive property, the expression becomes
\(=(3x)(-x)+(3x)(4)+(-5)(-x)+(-5)(4)\)
\(=(-3x^2)+12x+5x+(-20)\)
On combining like terms, we get
\(=-3x^2+(12x+5x)-20\)
\(=-3x^2+17x-20\)
Therefore, the simplified product in standard form is \(-3x^2+17x-20\).
Zoe has 4 cucumbers she grew in her garden. She wants to share them equally among 3 of her neighbors.
How many cucumbers will each neighbor receive?
Use the numbers on the tiles to complete the number sentence.
You may use a number more than once or not at all.
4 divided by 3 = a whole and 3 repeated more than 4 times
(to use the number 4)
:D
How many different sums of money can be made from 4coins of different denomination
Answer:
15 different sums----------------------
There are various combinations of coins.
1 coin:4 options2 coins:4C2 = 4!/(2!2!) = 6 options3 coins:4C3 = 4!/(3!1!) = 4 options4 coins: 1 optionIn total there are:
4 + 6 + 4 + 1 = 15 different sums