20 5 4 2 X 2.5 12 1.5 3​

9514 1404 393

Answer:

Step-by-step explanation:

Two formulas come into play here. One is the future value of a series of payments. The other is the payment amount available from an ordinary annuity.

  FV = An/r((1 +r/n)^(nt) -1) . . . . future value of payments of A made n times per year for t years

  A = P(r/n)/(1 -(1 +r/n)^(-nt)) . . . . payment from principal P at invested at rate r for t years, compounded n times per year.

__

Problem 1

You want FV = $350,000, A = $400, r = 0.057, n = 12, and we want to find t. We can solve the FV equation for t to get ...

  log(FV·r/(An) +1)/log(1 +r/n) = nt . . . . . number of months

  log(350000·0.057/(400·12) +1)/log(1 +0.057/12) = nt ≈ 346.1

The retirement account can be funded by 346.1 monthly payments. That will take 28.8 years.

__

Problem 2

Again, solving for t, we get ...

  log(1 -Pr/(An))/(-n·log(1 +r/n)) = t

The parameters for this are P = 700,000, A = 5000, n = 12, r = 0.054, so the account can be expected to last for ...

  log(1 -700000·0.054/(5000·12))/(-12·log(1 +0.054/12)) ≈ 18.5 . . . years

Changing the withdrawal to $3000 per month makes the account last forever.  It earns $3150 in interest each month, so the account balance continues to increase.

The account will support withdrawals of $5000 per month for 18.5 years.

The account will support withdrawals of $3000 per month forever.

Answer:  it is c which is the function was stretched by all the factor of 2

hope this help

Answer:

y = 23

x ≈ 13

Step-by-step explanation:

3y + (y+88) = 180

Solve for y

y =23

6x + 35 = y + 88

substitute y = 23

6x + 35 = 23 + 88

Solve for x

x ≈ 13

Answer:

[tex]\frac{x}{y}[/tex]

Step-by-step explanation:

There you go.

Answer: The quotient of x is invisible number it can be any number depending of the equation

sego........ ... sego segó

216 in²

Step-by-step explanation:

The above diagram is a rectangular prism, a three-dimensional shape, having six faces, where all the faces (top, bottom, and lateral faces) of the prism are rectangles such that every two opposite side faces are identical.

Hence we can calculate the surface area of the diagram by multiplying the surface areas of the three faces by 2, and adding them together.

= 2(5 x 4.5) + 2(5 x 9) + 2(4.5 x 9)

= 45 + 90 + 81

= 216 in²

What is the approximate surface area of the figure?

A. 101.3 in²

B. 108 in²

C. 202.5 in²

D. 216 in²

Since the base of the prism is a rectangle, the perimeter P of the base is 2(9+4.5) or 27 inches. The area of the base is 9•4.5 or 40.5 square inches. The height is 5 cinches.

[tex]\sf{S=Ph+2B}[/tex]

[tex]\sf{ \: \: \: \: =(27•5)+2(4.5)}[/tex]

[tex]\sf{ \: \: \: \: =135+81}[/tex]

[tex]\sf{ \: \: \: \: =\:}{\color{magenta}{216}}[/tex]

The surface area of the figure is 216 square inches. So, the correct option is D.

#Hope it helps!

(ノ^_^)ノ

Answer:

51 DVDs

Step-by-step explanation:

Let the number of DVDs and CDs sold be x each.

Initial

Number of DVDs= 86

Number of CDs= 52

After selling

Number of DVDs= 86 -x

Number of CDs= 52 -x

Given that there are 3 times as many DVDs than CDs left,

86 -x= 3(52 -x)

Expand:

86 -x= 156 -3x

Bring x terms to 1 side, constant to the other:

3x -x= 156 -86

Simplify:

2x= 70

Divide both sides by 2:

x= 35

Amount of DVDs left

= 86 -x

= 86 -35

= 51

Answer:

You should expect 4 of the next 20 children to enroll to be toddlers.

Step-by-step explanation:

This question is solved by proportions.

So far:

We have that of 2 + 8 = 10 children, 2 are toddlers, so the proportion of toddlers is 2/10 = 0.2.

How many of the next 20 children to enroll should you expect to be toddlers?

0.2 out of 20, so: 0.2*20 = 4

You should expect 4 of the next 20 children to enroll to be toddlers.

Equation:

[tex]tan(x) = \frac{opp}{adj}[/tex]

Answer:

8

Step-by-step explanation:

9: 9, 18, 27, 36, 45, 54, 63, 72

12: 12, 24, 36, 48, 60, 72

72 is the first number that can be divided (evenly) by both 9 and 12

Answer:

8

Step-by-step explanation:

9: 9, 18, 27, 36, 45, 54, 63, 72

12: 12, 24, 36, 48, 60, 72

72 is the first number that can be divided (evenly) by both 9 and 12

Answer:

Ok I might misunderstand this but this is what I got ( in order )

D none of the above

as it should be ([tex]\sqrt[5]{x}[/tex])^4

Answer:

13.50=1.50+.6x

Step-by-step explanation:

13.50=1.50+ .6x

12=.6x

20=x

The value of the equation is 13.50 = 1.50 + 0.6m , where y is the total cost and x is the number of miles traveled and m = 20 miles

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the total cost of the taxi be represented as y

Let the number of miles traveled be represented as m

Now , the total cost = $ 13.50

The number of miles = m miles

The initial cost of taxi = $ 1.50

The cost per mile = $ 0.60

So , the equation is 13.50 = 1.50 + 0.6m

Subtracting 1.50 , we get

12 = 0.6m

Divide by 0.6 , we get

m = 20 miles

Hence , the number of miles is 20 miles

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Answer:

ans is 0

Step-by-step explanation:

69 + 420 ÷ 0

489 ÷ 0

0

Answer:

Undefined

Step-by-step explanation:

When you try to divide by 0, your calculator will yield an error because any number (including zero) divided by zero is undefined.

You can think of it like this: if you divide any number by zero, how many times does zero go into that number? An undefined amount of times. If you had zero divided by zero, you'd still run into the issue that any number works:[tex]k\cdot 0=0, k\in \mathbb{R}[/tex]. Because [tex]k[/tex] can be any real number, it is still undefined.

There is an argument for infinity because for function  [tex]f(x)=\frac{k}{x}, k\in \mathbb{R}[/tex], as [tex]x[/tex] approaches 0, [tex]f(x)[/tex] approaches infinity:

[tex]\lim_{x\rightarrow 0}f(x)=\infty[/tex]

However, infinity is not a number and should not be treated as such. Undefined is a more precise answer.

Answer:

AB = 5√55

Step-by-step explanation:

Part 1 = AD = 25

Hypotenuse = AC = 55

Leg 1 = AB = x

To find AB, apply the leg rule which is:

Hypotenuse/leg 1 = leg 1/part 1

Plug in the values

55/x = x/25

Cross multiply

x*x = 55*25

x² = 1,375

x = √1,375

x = 5√55

AB = 5√55

Answer:

61.05

Step-by-step explanation:

1/20 = 5/100 = 0.05

61+0.05 = 61.05

Answer:

its B homie

Step-by-step explanation:

U stuped

Answer:

The unit rate of speed is 40 miles per hour.

Step-by-step explanation:

Since Sherrie travels 120 miles in 3 hours, to find the unit rate of speed the following calculation must be performed:

3 = 120

1 = X

(1 x 120) / 3 = X

120/3 = X

40 = X

Therefore, the unit rate of speed is 40 miles per hour.

Answer:

x = -2

Step-by-step explanation:

Try this option, the answer is marked with red colour.

Option C.88ft².

Answer:

Solution given:

side 1=19ft

side 2=25ft

height=4ft

now

area =½height (side 1+side 2)

=½*4*(19+25)=88ft²

Answer:

The area of trapezoid is 88 ft ² .

Step-by-step explanation:

The, area of trapezoid is given by

= 1 / 2 ( Base ¹ + Base ² ) × Height

Where,

Base ¹ and Base ² are the length of parrallel side and Height is the perpendicular distance between them.

1 / 2 ( Base ¹ + Base ² ) × Height

Where, given that

Substitute the values

Area = 1 / 2 × ( 19 ft + 25 ft ) × 4 ft

add the both parallel sides of trapezoid

Area = 1 / 2 × 44 ft × 4 ft

multiply the values , we get

Area = 176 ft ²/ 2

Divide and we get

Area of trapezoid = 88 ft ²

Therefore, the area of trapezoid is 88 ft ².

Answer: M<1=135     M<2=45      M<3=135      M<4=45

Step-by-step explanation:

Answer:

(f + g)(x) = 5x + 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 2x - 6

g(x) = 3x + 9

(f + g)(x) is f(x) + g(x)

Step 2: Find

Answer:

10

Step-by-step explanation:

if you multiply 14 by 2 you get 28, therefore you have to multiply the numerator by 2 also, which gives you 10

Answer:

10/28

Step-by-step explanation:

5/14 = x/28

See that 28 is 14*2

So multiply 14*2 to get 28, and 5 * 2 to get 10

5 / 14 * 2/2 = 10 / 28

If my answer is incorrect, pls correct me!

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Answer:

The area of a given rectangle is 216 square inches.

Given that, the perimeter of the rectangle is 84 inches.

We need to find the area of a rectangle.

The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).

Let the width of a rectangle be x.

Given, that the length of a rectangle is six times its width. So, length=6x.

Now, 84=2(6x+x)

⇒14x=84

⇒x=6 inches

Then, length=6x=36 inches.

Area of a rectangle= Length×width=36×6=216 square inches

Therefore, the area of a given rectangle is 216 square inches.

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Answer:

Step-by-step explanation: