Write your own explicit formula. List the first 4 terms and solve for the 10th term using the formula. (show your work)
To keep it easy and simple
Hope it helps.
A brainliest is always appreciated.
Leo invests $2,000 at an interest rate of 4%, compounded quarterly.
How much is the investment worth at the end of 3 years?
[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 &\$2000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &3 \end{cases} \\\\\\ A=2000\left(1+\frac{0.04}{4}\right)^{4\cdot 3}\implies A=2000(1.01)^{12}\implies A\approx 2253.65[/tex]
hello people ~
Question:
The total surface area of a cylinder
= 2πrh + πr²
⤑True [_]
⤑False[_]
Answer:
False
Step-by-step explanation:
It's only 2 Pi r
Answer:
False
Step-by-step explanation:
Total Surface Area of Cylinder = 2πr(r+h)
Further if you solve it you will get
→ TSA of Cylinder = 2πr² + 2πrh
So, correct answer is False .
Some Additional Points
Volume of Cylinder = πr²hLateral Surface Area of Cylinder=2πrhwhere,
π is 22/7 or 3.14
h is height of cylinder
r is radius of cylinder
REALLY EASY, REALLY NEED HELP
My bad VectorFundament20, sheesh
Answer:
y=10x
Step-by-step explanation:
So y is basically 10 times x because each y value, 10, 20, 30 is coming from multiplying the x value by 10. For example, 0 = 10* 0, 10 = 10*1, 20 = 10*2, 30 = 10*3.
partial product 36 x 5
Patty wants a triangular garden in her backyard to grow vegetables. She plans to use three pieces of edging that measure 7 feet, 10 feet and 8 feet. In at least two complete sentences, answer the following questions: a) Will her garden be in the shape of a right triangle? b)Why or why not?
Answer: Yes.
Step-by-step explanation: With a triangle, the hypotenuse, or the longest side, would be on the bottom. The legs, or the other two sides, pretty much build off of that hypotenuse, which makes it a right triangle.
Have a great day! :)
Determine the value of x in the diagram.
x
2x
2x
Answer:
x = 60
Step-by-step explanation:
The sum of exterior angles in a rectangle is equal to 360
so to find the value of x we need to use all given values and write an equation:
x + 2x + x + 2x = 360 add like terms
6x = 360 divide both sides by 6
x = 60
Write the reciprocal of the number.
28) 1/7
29) 6
30) 1 1/8
31) 3 1/3
32) 2 1/4
33) 2/5
Answer:
1/7 = 7/1
6= 1/6
1 1/8= 9/8= 8/9
3 1/3 = 10/3 = 3/10
2 1/4 = 9/4 = 4/9
2/5 = 5/2
Step-by-step explanation:
In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x⁻¹, is a number which when multiplied by x yields the multiplicative identity, 1. The multiplicative inverse of a fraction a/b is b/a. For the multiplicative inverse of a real number, divide 1 by the number.
The reciprocal of a number is the number you would have to multiply it by to get the answer 1.
Answer:
28) 7/1
29) 1/6
30) 8/9
31) 3/10
32) 4/9
33) 5/2
Step-by-step explanation:
PLEASE ASAP PLEASE
Four lines are shown on the grid above
A)(i) write the equation of line L1
(ii) write the equation of line L2
(iii)write the value of (m) and the value of (n) for the line (y=mc+n)
(iv)write the value (p) and (q) for the line y=px+q
B) which of the letters A to K lie in the region where
(i) x >=2. y>=mx +n. and y>=px+q
(ii) y<=2. y<=mx+n. And y<=px+q
C)what is the maximum value of x+y in the region G
The lines L1 & L2 and the equations y = mx + n & y = px + q are illustrations of linear equations
The equation of line L1This is a vertical line that passes through the x = 2
So, the equation of line L1 is x = 2
The equation of line L2This is a horizontal line that passes through the y = 2
So, the equation of line L2 is y = 2
The values of m and n in y = mx + nThe line y = mx + n passes through points (6,3) and (0,0)
This means that n = 0 i.e. the y-intercept.
The value of m is calculated as follows:
[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
This gives
[tex]m = \frac{0- 3}{0 - 6}[/tex]
[tex]m = 0.5[/tex]
So, the values of m and n in y = mx + n are 0.5 and 0, respectively.
The values of p and q in y = px + qThe line y = px + q passes through points (6,3) and (0,12)
This means that q = 12 i.e. the y-intercept.
The value of p is calculated as follows:
[tex]p = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
This gives
[tex]p = \frac{12- 3}{0 - 6}[/tex]
[tex]p = -1.5[/tex]
So, the values of p and q in y = px + q are -1.5 and 12, respectively.
The letters in the region x >=2. y>=mx +n and y>=px+qThe above region represent the upper region between y=mx +n, y=px+q and line L1
The letter in this region is letter H
The letters in the region y <=2. y<=mx +n and y<=px+qThe above region represent the lower region between y=mx +n, y=px+q and line L2
The letters in this region are letters A and E
Read more about linear equations at:
https://brainly.com/question/14323743
ab - bc - 3bd
Factored form
Answer:
b(a-c-3d)
Hope this helps
Answer:
b(a-c-3d)
Step-by-step explanation:
Factor 60-36w to identify the equivalent expressions
Answer:
12(5 - 3w)
Step-by-step explanation:
60 - 36w
The GCF of 60 and 36w is 12.
60 - 36w = 12(5 - 3w)
Question is on picture
Answer:
The expression is half the value of (10 + 12)
Step-by-step explanation:
We see the top part is 10 + 12
The whole thing is a fraction and 2 is in the denominator
You divide your term by your denominator, and diving by 2 is the same as 1/2 if a term.
The dimensions of a solid block of cheese in the shape of a triangular prism are shown below.wich of these is the best estimate of the volume of the block of cheese in cubic centimeters
Answer:
174.19 cm3 i am not sure though.
Step-by-step explanation:
27) Electric vehicles often have been proposed as an environmentally sound alternative to the gasoline engine for transportation. In response to state initiatives, several car manufacturers now include electric vehicles among their available models. In spite of these state initiatives, the penetration of electric vehicles into the transportation sector of the United States, as well as other countries, remains modest. (a) Identify and describe two environmental benefits to using electric vehicles in place of gasoline-powered engines for transportation. (b) Estimate the potential reduction in petroleum consumption (in gallons of gasoline per year) that could be achieved in the United States by introducing electric vehicles under the following assumptions: 1. The mileage rate for the average car is 25 miles per gallon of gasoline. 2. The average car is driven 10,000 miles per year. 3. The United States has 150 million cars. 4. 10 percent of United States cars could be replaced with electric vehicles. (c) Some people have suggested that electric vehicles only shift the emission of air pollutants from dispersed sources to point sources. Explain and defend or refute this statement. (d) Propose two potential new United States government policies that would encourage the widespread use of electric vehicles. Explain.
It can be deduced that the environmental benefits of using electric vehicles are decreased levels of carbon monoxide and carbon dioxide.
What are the environmental benefits of using electric vehicles?
It improves human health by decreasing rates of headaches, drowsiness. A decrease means less global warming, decreased greenhouse effect, as well as decreased acid precipitation.
The potential reduction in petroleum consumption will be:
= (150 million cars) × (10,000 miles per year)/25 miles per gallon × 0.1
= 6 billion
Electric vehicles only shift the emission of air pollutants from dispersed sources because most electric cars are powered by an electrical generating source identified as using combustion such as fossil fuels and coal.
Some incentives that would encourage the use of electric vehicles include mandated production for electric vehicles, reduced tolls, etc.
Learn more about an electric vehicle on:
https://brainly.com/question/1425757
naty used 91.36 gallons of water over 2.3 days what is the average amount of water naty used?
Doctors recommend that teenagers sleep between 9 and 912 hours each night. Melody and Wilmer construct a box plot to display sleep data collected from two samples of students. Do these data support the petition to delay the school starting time so school starts 1 hour later? Explain
Answer:
Yes because I can see people very sleep-deprived and even if 7 hours is not enough, it's better than 6. For the people who sleep 9 and a half hours, they have 1 more hour to get ready. The median is 8 which most likely means, most of the students will be able to sleep the recommended amount with the extra hour.
Step-by-step explanation:
The just skates sporting goods store advertises that all in-line skates are on sale for 20% off the regular price. Find the sale price of a pair of skates that cost $160
Answer: $32 is the discount
Step-by-step explanation: i got it right
Answer:
128. It will take away 32$ from 160
Step-by-step explanation:
20% of 160 is 32. 160 - 32 = 128 which will be the cost of the pair of skates.
Solve 3s > 36. Graph the solution.
The solution is
can someone help plsss
Answer:
12
Step-by-step explanation:
3s ≥36
divide both side by 3
s ≥ 12
and if you were to graph it, closed circle on 12 going towards bigger numbers, since s is greater than or equal to 12
- Isabella makes $14.35 an hour at her company. Skyler, who works at the same company,
earns $16.35 an hour. His hourly wage increases by $0.25 each year.
How many years ago did Skyler start working at this company if his starting pay was the
same as what Isabella makes now? Show your work or explain your reasoning.
Answer:
It would be 8 years ago.
Step-by-step explanation:
-First, subtract $14.35 from $16.35, which gives you 2.
-Next, remember that $0.25 is a quarter, so how many quarters make $2?
-0.25x4 gives you a dollar, so 0.25x8 gives you 2 dollars.
Hope it helps!
What’s the simplified expression
Answer:
1/144
Step-by-step explanation:
1/(2⁴ * 3²)
1/(16*9)
1/144
An airplane is traveling at 400 miles per hour. Which equation can be used to find the
total distance the plane will travel in h hours?
Answer:
400h=mi
Step-by-step explanation: 400 hours = miles which is an equation above.
You move down 6 units. You end at (10, 4). Where did you start?
Answer:
(10,10)
Step-by-step explanation:
coordinates are (x,y)
x is horizontal(left and right), y is vertical (up and down)
going down 6 means subtracting 6 from the second number
lets reverse that to go up and add 6 back
4+6=10
so the original point was (10,10)
If you move DOWN, then that means you are moving in the "y" direction (up and down).
Thus, you are moving the unit "4" not "10". Since you are moving down, you must add to know where your starting position is. You add "4" and "6" together to make "10".
Answer:
You start at (10,10)
given that x=6 and y = -4, elevate the each of the following expressions.
5x over 3y + x
Step-by-step explanation:
Substitute the given values into the expression;
[tex]\frac{5(6)}{3(-4)} +6[/tex]
Multiply;
[tex]\frac{30}{-12} +6[/tex]
Divide;
30 and -12 aren't common factors. To get to 30 with -12, you need to multiply -12 by -2.5.
[tex]-2\frac{1}{2} +6[/tex]
Add;
[tex]3\frac{1}{2} \; or \; 3.5[/tex]
The average natural gas bill for a random sample of 26 homes in the 19808 zip code during the month of March was $305.30 with a sample standard deviation of $46.50. The 80% confidence interval around this sample mean is ________.
good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answer:
B. The total amount of tweets...
E. NCAA basketball tournament
F. Butterfly population doubles each month
An exponential function is a function that grows exponentially.
Exponential functions have a multiplicative rate of change. This means each term can be multiplied by a specific number to get to the next.
Example of an exponential function:
1, 2, 4, 8, 16, 32, 64, 128, 256...
Knowing this, let's look at each example.
A.
The rocket grows at a rate of 45 m/s, but then goes back down. This is not an exponential function. This is most likely a quadratic function.
B.
Each term is being multiplied by 4. This is correct.
C.
This is too vague. We cannot determine what this is.
D.
This is a linear function. It has an additive rate of change; not a multiplicative one. This is wrong.
E.
Each term is 50% of the previous one. This is correct.
F.
The population is multiplied by 2 each month. This is correct.
Answer:
2, 5, 6
(tweets, basketball, butterfly)
Step-by-step explanation:
Rocket: Quadratic function
Tweets: Exponential function (quadruples each time)
Water Park: Quadratic function (or absolute function)
Savings: Linear function (if simple interest)
**compound interest is exponential, but as it stops earning interest after the first year, it is not continually exponential**
Basketball: Exponential function (halves each round)
Butterfly: Exponential function (doubles each month)
Please help me out, hopefully it’s clear, very urgent. Thanks
Solution:
We know that:
[tex]\frac{\tex\text{Diamonds}}{\text{Emeralds}} = \frac{3}{4}[/tex]
[tex]\text{Emeralds} = 16[/tex]
Substitute the amount of emeralds in the ratio to find the amount of diamonds.
[tex]\dfrac{\tex\text{Diamonds}}{16} = \dfrac{3}{4}[/tex]
[tex]\tex\text{Diamonds} = \dfrac{3 \times 16}{4}[/tex]
[tex]\tex\text{Diamonds} = \dfrac{48}{4} = 12[/tex]
Thus, there were 12 diamonds.
(a)
girls to boys → 2 : 1
2 → 24
1 → 12
There are total 12 boys.
(b)
diamonds to emeralds → 3 : 4
4 → 16
1 → 4
3 → 12
There are 12 diamonds.
Answer these two please I am providing brainliest
You didn't include the actual question lol
find x Finding an angle measure given extended triangles
Answer:
[tex]x = 34[/tex]
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A middle school took all of its 6th grade students on a field trip to see a symphony at a theater that has 2940 seats. The students left 35% of the seats in the theater vacant. How many 6th graders went on the trip?
Answer:
1,911 students I think
Step-by-step explanation:
if you multiply 2,940 by 35% (or multiply it by 0.35) you get 1,029, then you subtract 1,029 from 2,940 to get 1,911
Please correct me if I'm wrong
Two bicyclists are traveling along the same road. Bicyclist A's distance, d, from a certain town after h hours Given by the equation
d = 11.5h + 5
Bicyclist B's distance from the same town is shown in the graph .
Which THREE statements are TRUE?
A
B is traveling 1 mile per hour faster than A.
B
After 2 hours, A will have traveled a total of 28 miles.
С
B started from the town, while A started 5 miles from the town.
D
After 5 hours, the two bicyclists will be the same distance from the town.
E
When the two bicyclists reach the same point. A will have traveled 5 more miles than B.
The correct statement are statements B and C
Distance time graphsGiven the following equation for the distance of Bicyclist A expressed as:
d = 11.5h + 5
After 1 hour for A
d(1) = 11.5 + 5
d(1) = 16.5
For bicycle B, the distance traveled after 1 hour is 12.5 miles from the graph. Hence B is not traveling 1 mile per hour faster than A.
After 2 hours for A;
d(2) = 11.5(2) + 5
d(2) = 23 + 5 = 28 miles
Hence after 2 hours, A will have traveled a total of 28 miles.
From the graph, we can see that B started from the town (origin), and from the equation, A started from 5 miles from town (y-intercept is 5)
Hence the correct statement are statements B and C
Learn more on the distance-time graph here: https://brainly.com/question/13877898