An initial amount of $600 is invested in a compound savings account with an annual interest rate of 3. 5%.


1. Define variables


2. Substitute into formula


3. Evaluate


Formula=A = P(1+r)t



What is the total amount after 2 years?


What is the total amount after 4 years?

Answer:

\(9 \times {10}^{5} \)

Step-by-step explanation:

\((1.5 \times {10}^{2} )(6 \times {10}^{3} )\)

\((1.5 \times 6)( {10}^{2} \times {10}^{3} )\)

\(9 \times {10}^{5} \)

The solution for p(-2) in the function when the function p(n) = 2n is -2

From the question, we have the following equation that can be used in our computation:

p(n)=2n

To make the equation legible, we need to rewrite it

So, we have the following representation

p(n) = 2n

Also from the question, we have

p(-1)

This means that the value of n is -1, and we calculate p(n) when n = -1

Substitute the known values in the above equation, so, we have the following representation

p(-1) =  2 * -1

So, we have the following equation

p(-1) =  2 * -1

There is no constant to add or subtract to both sides of the equation

So, we have the following representation

p(-1) =  -2

Hence, the solution is -2

Read more about functions at

brainly.com/question/28277110

#SPJ1

Answer:

∠L = 43°

∠M = 121°

∠N = 16°

Step-by-step explanation:

Start by setting all sides equal to 180

3x - 5 + 7x + 9 + x = 180

Add like terms

11x + 4 = 180

Solve for x

11x + 4 = 180

      - 4     - 4

      11x = 176

     / 11     /11

        x = 16

Now, plug in 16 for all instances of x on the triangle and solve.

∠L = 43°

∠M = 121°

∠N = 16°

Answer:

$65

Step-by-step explanation:

The first graph represents \(f(x)=2(3) ^x\).

Graph of a function:

All of the plane's points having the form (x, f(x)) that make up a function f's graph are gathered together. The graph of f is also referred as the graph of y = f. (x).

The given function is,

\(f(x)=2(3)^x\)

Putting x = 1,

\(f(x)= 2(3)^1=6\)

The point (1, 6) that is (x, f(x)) must therefore satisfy the condition or be on the curve of the function.

Only in case of the first graph, the point (1, 6) lies on the curve.

As a result, the first graph accurately depicts the function.

To learn more about a function's graph, go to:

https://brainly.com/question/12635801

#SPJ1

Answer and Step-by-step explanation:

Similar by SSS-

This is because the dilation factor of the triangles is 1.6, meaning each side from the small triangle has to be multiplied by 1.6 to be have the sides of the bigger triangle.

#teamtrees #PAW (Plant And Water)

I hope this helps!

Answer:

;)

Step-by-step explanation:

Q2) y=5x+7

Q3) option 4

Q4) y= -3

Q5) x= -2

Q6) y=1

Q7) y=2x-7

Q8) y=2x-3

Q9) x=1

Q10) false

Answer:

-18/3

Step-by-step explanation:

Answer:

I think she mowed 6 lawns.

Step-by-step explanation:

Answer:

1 lawn each week

Step-by-step explanation:

Rocco lawns mowed each week=x

Carly's lawns mowed each week=x+2

Equation to show how much Carly lawned for 6 weeks

18 is the total amount of lawns

6 is the number of weeks

6(x+2)=18

Solve for x

6x+12=18

Subtract 12 on both sides

6x=6

x=1

x is the amount that Rocco lawned

Answer:

9 blue carnations.

Step-by-step explanation:

Given that,

Fiona has 18 red carnations, 27 white carnations, and 36 blue carnations. She wants to make arrangements of red, white, and blue carnations.

If she makes the greatest number of arrangements possible, then we need to find how many blue carnations will be in each arrangement.

Greatest possible arrangements = HCF of 18,27 and 36

The factors of 18 are: 1, 2, 3, 4, 6, 9, 12, 18,

The factors of 27 are: 1, 3,9,27

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36

The greatest common factor = 9

For blue carnation,

B = (36/9) = 4

Hence, in each arrangements there are 9 blue carnations.

The given algorithm can be found using the aggregate analysis technique. In this case, we calculate the total number of steps required to process all n elements and then divide it by n to obtain the amortized runtime per element.

The algorithm takes n^2 steps to process the first element, and for the remaining (n-1) elements, it takes 2n steps each. Therefore, the total number of steps required can be calculated as follows:

n^2 + (n-1) * 2n = n^2 + 2n^2 - 2n = 3n^2 - 2n.

Dividing this by n, we get the amortized runtime per element: (3n^2 - 2n) / n = 3n - 2.

Expressing the amortized runtime in Big O notation, we drop the constant term and lower-order terms, resulting in O(n).

The amortized runtime per element for the given algorithm is O(n), meaning that on average, each element takes linear time to process. This analysis accounts for the initial costly processing of the first element and the subsequent efficient processing of the remaining elements.

Learn more about algorithm here:

brainly.com/question/31936515

#SPJ11

Answer:

r=3.10in

SA= 138.22 in square

Step-by-step explanation:

Given data

Volume = 121 in^3

Height= 4 in

a) What is the radius of the cylinder?

 We know that volume

 V=πr^2h

121= 3.14*r^2*4

121= 12.56r^2

121/12.56= r^2

9.63=r^2

r= √9.63

r=3.10in

b) What is the surface area of the cylinder? Give your answer in terms of īt.

The surface area of cylinder is expressed as

SA=2πrh+2πr^2

SA= 2*3.14*3.1*4+ 2*3.14*3.1^2

SA= 77.872+60.3508

SA= 138.22 in square

Answer:

The table of data is shown below

The equation of line best fit is given in the form y=mx+b

to find the slope 'm', follow these steps:

STEP 1

Mean (X) = \frac{4+6+8+13+11}{5}=8.4

Mean(Y)= \frac{17+12+9+4+3}{5}=9

STEP 2

Refer to Picture 2 and Picture 3 for the working out of ( x_{i} -mean(X)) and ( y_{i} -mean(Y))

( x_{i}-X)( y_{i}-Y) =(-4.4)(8)+(-2.4)(3)+(-0.4)(0)+(2.6)(-5)+(4.6)(-6)

( x_{i}-X)( y_{i}-Y) =(-35.2)+(-7.2)+0+(-13)+(-27.6)=-83

STEP 3:

( x_{i}-X) ^{2}  = (-4.4)^{2}+ (-2.4)^{2}+ (-0.4)^{2}+ (2.6)^{2}+ (4.6)^{2}=53.2

STEP 4:

To find slope, divide answer in STEP 2 by the answer in STEP 3

m= \frac{-83}{53.2} =-1.56

STEP 5:

b=Mean(Y)-[slope*mean(X)]

b=9-(-1.56*8.4)=22.105

We have the slope, m=-1.56 and y-intercept of 22.105

The equation of line is

y=22.105-1.560x

Correct answer: Last statement

Step-by-step explanation:

By using sum or difference formulas, cos(-a) can be written as - cos(a). Explanation: We know that cosine is an even function of x, therefore,\(cos(-x) = cos(x)\) .Then, by using the identity \(cos(a - b) = cos(a) cos(b) + sin(a) sin(b)\), we can say that:\(cos(a - a) = cos²(a) + sin²(a).\)

This simplifies to:\(cos(0) = cos²(a) + sin²(a)cos(0) = 1So, cos(a)² + sin(a)² = 1Or, cos²(a) = 1 - sin²\)(a)Similarly,\(cos(-a)² = 1 - sin²(-a)\) Since cosine is an even function, \(cos(-a) = cos(a)\) Therefore, \(cos(-a)² = cos²(a) = 1 - sin²(a)cos(-a) = ±sqrt(1 - sin²(a))'.\)

This is the general formula for cos(-a), which can be written as a combination of sine and cosine. Since cosine is an even function, the negative sign can be written inside the square root: \(cos(-a) = ±sqrt(1 - sin²(a)) = ±sqrt(sin²(a) - 1) = -cos\).

To know more about sum visit:

https://brainly.com/question/31538098

#SPJ11

Yes, you can assume both statements. In the diagram, planes W and X intersect at the line KL.

To learn more about Deductive reasoning refer to:

https://brainly.com/question/860494

#SPJ1

Kenneth will have to run 2.25 minutes at the same speed to win the bet.

Speed is the rate of movement of an object along a path in time.

=> \(Speed =\frac{Distance}{Time}\)

Now,

Given:

To find: Number of minutes to maintain the speed to win the bet.

Finding:

According to the information given in the question,

The speed in minutes = \(\frac{400}{54}(60)\) = 444.44 meter/min

Since Kenneth is determined to run at this speed for 1 km, he will have to maintain it for:

=> \(\frac{1000}{444.44}\) = 2.25 minutes (As \(Speed =\frac{Distance}{Time}\), => \(Time=\frac{Distance}{Speed}\))

Hence, Kenneth will have to run 2.25 minutes at the same speed to win the bet.

To learn more about speed, refer to the link:https://brainly.com/question/24739297

#SPJ4

A point on the graph of y = f(x + 3) is (13, f(13)). and a point on the graph of y = f(x) + 3 is (10, 16).

a. To find a point on the graph of the function y = f(x + 3), we need to substitute x + 3 into the function f(x) and evaluate it.

Given that the point (10, 13) is on the graph of y = f(x), we can find a corresponding point on the graph of y = f(x + 3) as follows:

Replace x in the original point with (x + 3):

New x = 10 + 3 = 13

Substituting the new x-value into the original function y = f(x):

New y = f(13)

b. To find a point on the graph of the function y = f(x) + 3, we add 3 to the y-coordinate of the given point (10, 13).

Adding 3 to the y-coordinate:

New y = 13 + 3 = 16

To know more about graph refer to-

https://brainly.com/question/10712002

#SPJ11

Answer:

you have the answer correct actually

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

We want to find out how much each person gets per box, so all we have to do is divide the three boxes by three and the 8 by three to get how much each person gets. When we do that, we get 3/8. Literally, that means each boy gets 3/8 of a box of cereal.

Answer:

Hundreds place is the answer

Answer:

the 8 =800

the 4=4000

the 1=1

Step-by-step explanation:

There are 336 ways for the 8 team entrants to achieve the desired outcome of first, second, and third place positions.

The problem involves selecting 3 individuals out of 8 to fill the 1st, 2nd, and 3rd place positions. Since the order in which the individuals are selected matters, we need to use the permutation formula to determine the total number of ways to achieve the desired outcome.

The formula for permutation is:

P(n,r) = n! / (n-r)!

Where n is the total number of individuals, and r is the number of positions to be filled.

In this case, we need to select 3 individuals out of 8 to fill the 1st, 2nd, and 3rd place positions. Using the permutation formula, we get:

P(8,3) = 8! / (8-3)!

= 8! / 5!

= (8 x 7 x 6 x 5 x 4 x 3 x 2 x 1) / (5 x 4 x 3 x 2 x 1)

= 8 x 7 x 6

= 336

In other words, the coach has 336 possible ways to select three team members for the podium, assuming all team members have an equal chance of winning.

To learn more about permutations click on,

https://brainly.com/question/15188052

#SPJ4

Given that, Lela plans to read 25 pages per day. Let x be the number of days she will take to read the book completly,

Therefore, Lela will take 9 days to completly read the book.

Given that, Thaddeus has already read 45 pages of book. Therefore, the reamaining pages are 180.

The, the expression becomes,

Thus, she will complkete the book in 9 days.

Therefore, the statement 1 is true.

Statement 2 is false. The expression is f(x)=20x+45.

The statement 3 is also true.

The Values of (a+b)ab are undefined.

Given that, a = 3an and db = -2We need to find the values of (a+b)

Now, we have a = 3an... equation (1)Also, we have db = -2... equation (2)From equation (1), we get: n = 1/3... equation (3)Putting equation (3) in equation (1), we get: a = a/3a = 3... equation (4)Now, putting equation (4) in equation (1), we get: a = 3an... 3 = 3(1/3)n = 1

From equation (2), we have: db = -2=> d = -2/b... equation (5)Multiplying equation (1) and equation (2), we get: a*db = 3an * -2=> ab = -6n... equation (6)Putting values of n and a in equation (6), we get: ab = -6*1=> ab = -6... equation (7)Now, we need to find the value of (a+b).For this, we add equations (1) and (5),

we get a + d = 3an - 2/b=> a + (-2/b) = 3a(1) - 2/b=> a - 3a + 2/b = -2/b=> -2a + 2/b = -2/b=> -2a = 0=> a = 0From equation (1), we have a = 3an=> 0 = 3(1/3)n=> n = 0

Therefore, from equation (5), we have:d = -2/b=> 0 = -2/b=> b = ∞Now, we know that (a+b)ab = (0+∞)(0*∞) = undefined

Therefore, the values of (a+b)ab are undefined.

For more questions on Values .

https://brainly.com/question/843074

#SPJ8

Answer:

4 because digits are counted before decimal.

Answer:

I belive it would be 5

Step-by-step explanation:

7- ones place

6- tens place

5- hundreds place

4- thousands place

The distance between points W and X is 5 units. We can count the number of units between the two points on the number line, which is 5.

A number line is a visual representation of numbers in one dimension, typically displayed horizontally. It is used to represent both positive and negative numbers, as well as fractions and decimals.

A number line is a straight line that is typically divided into equal segments or intervals, each of which represents a specific value. For example, a number line that represents integers may be divided into equal segments or intervals that represent consecutive integers, such as -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, and 5.

To know more about number line visit:

https://brainly.com/question/23297248

#SPJ1

583 times the length of jeff's ride was larry's bike ride

Word problem in maths is a maths question written as one sentence or more that requires children to apply their maths knowledge to a ‘real-life’ scenario. a word problem is a mathematical exercise (such as in a textbook, worksheet, or exam) where significant background information on the problem is presented in ordinary language rather than in mathematical notation. As most word problems involve a narrative of some sort, they are sometimes referred to as story problems and may vary in the amount of technical language used.Word problems are usually made up of a few sentences describing a scenario that needs to be solved through maths. These scenarios are usually ‘real-life- ones, situations that people might find themselves in every day. For example, it could be the division of pizza between party members or working out how long a train might take from one place to another.

This means that children must be familiar with the vocabulary associated with the mathematical symbols they are used to, in order to make sense of the word problem.

Given,jeff jogged 4 miles today, and larry biked 2 1/3 miles.

Let x times the length of jeff's ride was larry's bike ride.

4x= 7/3

x=.583 times

So, .583 times the length of jeff's ride was larry's bike ride.

To learn more about Word problems visit: brainly.com/question/29203255

#SPJ4

Answer:

52

Step-by-step explanation:

just finished taking it

Answer:

no

Step-by-step explanation:

Answer:

Her answer is not reasonable. Her average is 83.

Step-by-step explanation:

Add all of her test grades together (96+82+78+76=332)

To find the average, you need to add all test grades she got and then divide the sum by the total number of numbers added (in this case, we added 4 tests together, so we need to divide by 4)

\(\frac{332}{4} =83\)

So she added wrong and forgot to divide by the total number of tests.