Suppose you deposit $1800 in an account that is compounded weekly at a rate
of 2.9%. How much will be in the account in 11 years? Round your answer to the
nearest cent. *

Answer:

10 months

Step-by-step explanation:

Answer:

y = 4x - 12

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = E(4, 4) and (x₂, y₂ ) = F(2, - 4)

m = \(\frac{-4-4}{2-4}\) = \(\frac{-8}{-2}\) = 4 , then

y = 4x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (4, 4), then

4 = 16 + c ⇒ c = 4 - 16 = - 12

y = 4x - 12 ← equation of line

Answer:

y = -4x + 17

Step-by-step explanation:

Using the slope intercept formula, we can see the slope of line p is ¼. Since line k is perpendicular to line p it must have a slope that is the negative reciprocal. (-4/1) If we set up the formula y=mx+b, using the given point and a slope of (-4), we can solve for our b or y-intercept. In this case it would be 17.

Answer:

10/4

Step-by-step explanation:

3(4-x)=x+2

12-3x=x+2

10=4x

x=10/4

Answer: \(x=\Large\boxed{2.5}\)

Step-by-step explanation:

Given equation

\(3(4-x)=x+2\)

Expand the parenthesis on the left-hand side

\(3\times 4-3\times x=x+2\)

\(12-3x=x+2\)

Add 3x on both sides

\(12-3x+3x=x+2+3x\)

\(12=4x+2\)

Subtract 2 on both sides

\(12-2=4x+2-2\)

\(10=4x\)

Divide 4 on both sides

\(10\div4=4x\div4\)

\(x=\Large\boxed{2.5}\)

Hope this helps!! :)

Please let me know if you have any questions

Given expression is : 1 - cot x/tan x - 1Now let us begin to simplify the given expression.

To solve the expression, we can cross multiply and then simplify.Let us rewrite the expression as :1 - cot x/tan x - 1 = (tan x - 1)/(tan x * cot x) = Simplify (tan x - 1)/vSimplify (tan x * cot x)Using the trigonometric identity: `tan x * cot x = 1`1 - cot x/tan x - 1 = Simplify (tan x - 1)/(1)Simplify (tan x - 1)/(1) = vSimplify tan x - 1The expression after simplification is:tan x - 1The expression "tan x - 1" represents the difference between the tangent of angle x and 1. By simplifying the expression, we can conclude that the result is equal to "tan x - 1."

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Hey there!

Guide to follow

“Difference” means subtract

“Is” means equal to

“Product” means multiply

“Quotient” means divide

“Sum” means add

Answering your question….

“The [QUOTIENT] of [-4] and [y]

Remember we said “quotient” means divide

So we’re dividing -4 from y and that will be your answer.

Answer

-4 ÷ y

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

Perimeter: 2l+2w

Area: lw

Step-by-step explanation:

Let l=length, and w=width

Answer:

For Perimeter its  2times length + 2times width

and for Area its: length times width

Hope this helps :)

Answer:

KL=63

Step-by-step explanation:

Answer:

Step-by-step explanation:

Kl=63

Answer:

\(y=-2(x+5)^2-3\)

Step-by-step explanation:

Equation of the Quadratic Function

The vertex form of the quadratic function has the following equation:

\(y=a(x-h)^2+k\)

Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.

The given vertex is (-5,-3), thus:

\(y=a(x-(-5))^2-3\)

\(y=a(x+5)^2-3\)

We need to find the value of a. We use the point (-4,-5):

\(-5=a(-4+5)^2-3\)

\(-5=a(1)^2-3\)

\(-5=a-3\)

Solving:

\(a=-5+3=-2\)

The complete equation of the parabola is:

\(\mathbf{y=-2(x+5)^2-3}\)

First-order of Taylor formula is : f(x, y) = f(0, 0) + ∂f/∂x(0, 0)x + ∂f/∂y(0, 0)y Second-order of Taylor formula is : f(x, y) = f(0, 0) + ∂f/∂x(0, 0)x + ∂f/∂y(0, 0)y + (1/2)∂²f/∂x²(0, 0)x² + ∂²f/∂x∂y(0, 0)xy + (1/2)∂²f/∂y²(0, 0)y².

The first-order Taylor formula is an approximation of a function using its linear terms. It is given by f(x, y) = f(0, 0) + ∂f/∂x(0, 0)x + ∂f/∂y(0, 0)y, where ∂f/∂x and ∂f/∂y are the partial derivatives of f(x, y) with respect to x and y, respectively.

The second-order Taylor formula is a more accurate approximation that includes quadratic terms. It is given by f(x, y) = f(0, 0) + ∂f/∂x(0, 0)x + ∂f/∂y(0, 0)y + (1/2)∂²f/∂x²(0, 0)x² + ∂²f/∂x∂y(0, 0)xy + (1/2)∂²f/∂y²(0, 0)y². In addition to the first-order terms, it includes the second-order partial derivatives ∂²f/∂x², ∂²f/∂x∂y, and ∂²f/∂y².

For the function f(x, y) = 13e^(x+y), we can calculate the partial derivatives and plug them into the Taylor formulas to obtain the specific approximations at (0, 0).

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Answer:

I can't comment, but we can't see what we are supposwd to bw doing

Answer:

x = -2

x = 3

Step-by-step explanation:

Answer:

Slope m = 3.95

Step-by-step explanation:

Mathematically :

The equation of a line is written as y = mx + b

where

m is the slope

b is the y- intercept.

From the above question, we are told:

A farmer charges for his coffee beans using the equation C = 3.95p,

where C is the cost of the coffee beans and p is the number of pounds of coffee beans.

Comparing both equations:

y = mx + b

C = 3.95p

C = y

mx = 3.95p

b = 0

Therefore, the slope is 3.95

Answer:

4.63 is the highest overall speed.

Answer:

D 4.63

Step-by-step explanation:

Answer:

-330

Step-by-step explanation:

Trust me :)) sjsksksk

The cost price of large pizza is $12 and that of toppings is 0.75.

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values. For example, 3x + 5 = 15. There are different types of equations like linear, quadratic, cubic, etc.

In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

Let the cost of large pizza be x and that of toppings be y.

x + 2y = 13.50

x = 13.50 - 2y    - (1)

x + 5y = 15.75   - (2)

substitute equation (1) in equation (2),

13.50 - 2y + 5y = 15.75

3y = 15.75 - 13.50

3y = 2.25

y = 2.25 / 3

y = 0.75

now, put the value of y = 0.75 in equation (1),

x = 13.50 - 2 × 0.75

x = 13.50 - 1.5

x = 12

Therefore, the cost price of large pizza is $12 and that of toppings is 0.75.

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Triangle AED and triangle BEC have equal areas. The length of AE can be represented as 14 - x (since AC = 14). AE is equal to 10.

To find the length of AE, we can use the fact that triangle AED and triangle BEC have equal areas. Since the areas of two triangles with the same height are proportional to their base lengths, we can set up the following proportion:

Area of triangle AED / Area of triangle BEC = AE / EC

Let's denote EC as x (the length of EC). Then, the length of AE can be represented as 14 - x (since AC = 14).

Now, let's look at the given information about the lengths of the sides of the quadrilateral:

AB = 9

CD = 12

AC = 14

We can use the given information to find the lengths of the other sides of the quadrilateral:

BC = AC - AB = 14 - 9 = 5

AD = AC - CD = 14 - 12 = 2

Next, we can calculate the areas of triangle AED and triangle BEC using the lengths of their sides:

Area of triangle AED = (1/2) * AD * AE

Area of triangle BEC = (1/2) * BC * EC

Since the areas of the two triangles are equal, we can set up the following equation:

(1/2) * AD * AE = (1/2) * BC * EC

Plugging in the values we know:

(1/2) * 2 * (14 - x) = (1/2) * 5 * x

Simplifying the equation:

14 - x = (5/2) * x

Multiplying both sides by 2 to clear the fraction:

28 - 2x = 5x

Adding 2x to both sides:

28 = 7x

Dividing both sides by 7:

x = 4

Therefore, the length of EC is 4.

Since AE = AC - EC, we can calculate AE:

AE = 14 - EC = 14 - 4 = 10

So, AE is equal to 10.

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The complete question is:<Convex quadrilateral ABCD has AB = 9 and CD = 12. Diagonals AC and BD intersect at E, AC = 14 and triangle AED and triangle BEC have equal areas. What is AE?>

The group that would be the most stable based on size would be 10 people. So, the correct answer is c. 10 people.

A group is a set of people or objects that are deemed to be equivalent or share a common feature. Group members may collaborate and share knowledge to achieve a common goal. The group's performance is frequently greater than the sum of its members' individual efforts, and this is known as the group effect.

Group stability is defined as the ability of a group to remain together and keep working toward its objective over time. It is essential for a group to achieve its objectives and is typically linked to the group's size and objective. A stable group can withstand external pressures and is less susceptible to breaking up or being disbanded.

A group's size has a significant influence on its stability. Small groups are often more cohesive and productive than large groups. On the other hand, as a group's size grows, it becomes more challenging to sustain cohesion and productivity. A group of 10 people would be the most stable since it's not too large or too small. Thus, the correct option is c. 10 people.

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Answer:

Answers:

1-After 2 hours, the travel magician will have made $150.

2-The statement f(30)=200 means that the group size of 30 reaches the minimum charge for the bus rental of $200, and f(50)=300 means that the group size of 50 reaches the maximum charge for the bus rental of $300.

3-330

The answer to the statements are

1. A. After 2 hours, the travel magician will have made $150.

2. C.The statement f(50)=300 means that the group size of 50 reaches the minimum charge for the bus rental of $300, and f(30)=200 means that the group size of 30 reaches the maximum charge for the bus rental of $200.

3. After 6 days the profit of the company will be C. 330 dollars.

A function can be thought of as an output for the given input.

There are statements and we have to interpret from given options.

1. f(2) = 150.

By observing he statements we can say that A. After 2 hours the travel magician will have made 150 dollars.

2.  If the minimum charge to a bus rental is $200, the maximum charge is $300, and the cost is determined by the function f(x)=5x+50 where             30 ≤x≤ 50 is C.The statement f(50)=300 means that the group size of 50 reaches the minimum charge for the bus rental of $300, and f(30)=200 means that the group size of 30 reaches the maximum charge for the bus rental of $200.

3. .The soda shop's profit for a day is modeled with the function f(x)=50x+30 where x is the number of days. to determine how much did the shop make after 6 days we have to put x = 6 which is f(6) = 50(6) + 30 = 330.

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Answer:

x= 0

Step-by-step explanation:

6x-4=2(3x-2)

or,6x-4=6x-4

or,x=o

There are infinite solution of the expression.

We have to given that,

An expression to solve,

6x - 4 = 2 (3x - 2)

Now, We can simplify as,

6x - 4 = 2 (3x - 2)

Apply distributive property,

6x - 4 = 6x - 4

Combine like terms,

6x - 6x = 4 - 4

0 = 0

Hence, There are infinite solution of the expression.

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Answer: 34 in^3

Step-by-step explanation:

Surface area of triangle = 1/2 x  3.4 x 2.5 = 4.25

To find the volume of the prism, multiply the surface area of the triangle by length.

So 4.25 x 8 = 34 in^3

C

The mistake the arrangers made is in the second inequality. They considered the number of caps to be bought should be at least 5 times greater than the number of blouses, not the other way around. The correct inequality should be C

The correct answer is D) The first inequality should be s + h ≤ 1800.

The organizers made an error in the first inequality. The given inequality 10s + 8h ≤ 1800 represents the total cost of buying shirts (10s) and hats (8h) should be less than or equal to $1800. However, this does not take into account the fact that the organizers want to buy at least 5 times as many shirts as hats, as indicated by the second inequality h ≥ 5s.

The correct way to represent this constraint is by using the equation s + h ≤ 1800, which ensures that the total number of shirts and hats purchased does not exceed $1800 in cost. This is because the organizers want to make sure that the total cost of shirts and hats combined does not exceed the budget of $1800.

Answer:

5N+5P

Step-by-step explanation:

7N-2N=5N

3P+2P=5P

Answer:

A) 7

Step-by-step explanation:

25% = 0.25

28 x 0.25 = 7

Answer:

r = √(A/π)

Step-by-step explanation:

HI

I WANT AN ANSWER THAT

HOW WILL I MAKE r the subject of the formula

A= ½πr²,

inverse formula

r = √(A/π)

Answer: £4.26

Step-by-step explanation:

i think it is this:

the oranges cost £1.42 per kg and you have 1.5 kg of oranges so do £1.42 x 3=£4.26

The c d f is (  1     : x≥4), b) mean is 2, c) the variance of x is 4/3 d) the value of f is 0.35 e) value of p is 0.375 and value of k is 1.4

a) F(x)=P(x ≤ x)=(  1     : x≥4

b) E(x)=∫^ (x)dx=2

c) ∫^4^0 x^ 2f(x)dx=4/3

d) f(x)=x/4,0<x<4)=0.35

e)P(1/2<X<2)=0.375

f)(p(x ≤ k)=F(K)=1.4

The pdf of x is
F(X)=1/4: 0<X<4
0 : otherwise


A) The c d f of x is
F(x)=P(x ≤ x)

=∫^ x f(t) αt
= ∫^ x1/4 αt
=1/4(t)^ x
=x/4,0<x<4
F(x)=(0: x≤0)        
      ( x/4:0<x<4)
     (  1     : x≥4)


B) We need, mean(x)
=E(x)=∫^ (x)dx

=1/4  ∫^4^ x dx
=1/4 (x^ 2/2)^ 4
=16/8
=2    

C) Here, E(X^2)          
=∫^4^0 x^ 2f(x)dx

=1/2∫^4^0 x^2 dx        
=1/4(x^ 3/3)^ 4^0
=16/3
Var(x)+E(X^2)-E^2(X)
=16/3-(2)^2
=4/3
       
d) F(1.4)=1.4/4   ∵   f(x)=(x/4,0<x<4)

=0.35


e)P(1/2<X<2)
=F(2)-F(1/2)

=2/4-1/2/4
=1/2-1/8=3/8              
=0.375

F) let R=35th percentile

so, we must have,
p(x ≤ K)=0.35           ∵  (p(x ≤ k)=F(K)
=K/4=0.35                    =k/4
k=1.4

Complete Question is given below

1. let x be a random variable with pdf . a) find the c d f f(x). b) find the mean of x. c) find the variance of x. d) find f (1.4). round to 3 decimal places. e) find P(1/2<X<2). f) find THE 35TH PERCENTILE.

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Step-by-step explanation:

you add 9% to a number by multiplying that number by 1.09.

because adding 9% gives us in the end 109% of the original amount.

anyway, the formula for quarterly compounded interest is

Cq = P [ (1+r)^(4*n) – 1 ]

P is the starting principal amount

r is the interest rate per quarter (= interest rate / 4)

n would be the number of years (= 1 in our case).

so, the interest after 1 year is

12500((1 + 0.09/4)⁴ - 1) = 12500(1.0225⁴ - 1) =

= 12500 × 0.093083319 = $1,163.541485 ≈ $1,163.54