Enter the exponential function using t (for time) as the independent variable to model the situation. Then find the value of the function after the given amount of time. A new savings account is opened with $200 and gains 3.1% yearly for 8 years. The exponential function that models the situation is . After 8 years, the savings account has $ . , , , and .

Answer:

4 ≥ x

Step-by-step explanation:

14 ≥ 3x + 2

14 - 2 ≥ 3x

12 ≥ 3x

4 ≥ x

Solving the inequality 14 ≥ 3x+2 we get x ≥ 4.

In mathematics, an assertion of an order connection greater than, greater than, or equal to, less than, or less than or equal to between two numbers or algebraic expressions.

Given:

14 ≥ 3x+2

Switch sides

3x+2 ≥ 14

Subtract 2 from both sides of the equation, we get

3x + 2 - 2 ≥ 14 - 2

Simplifying the above equation

3x ≥ 12

Divide both sides by 3, we get

3x/3 ≥ 12/3

x ≥ 4

Therefore, the value of x ≥ 4.

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Answer:

[tex]y=-\frac{1}{2} x+4[/tex]

Step-by-step explanation:

The equation of a straight line in slope intercept form is given by:

y = mx + c;

where y, x are variables, m is the slope of the line and c is the y intercept (that is value of y when x is 0).

The equation of a line passing through point ([tex]x_1,y_1[/tex]) with a slope of -1/2 is given by:

[tex]y-y_1=m(x-x_1)[/tex]

Given that the line passes through the point (-10,9) and has a slope of -1/2. Hence the equation of the line is:

[tex]y-9=-\frac{1}{2}(x-(-10)) \\\\y-9=-\frac{1}{2} (x+10)\\\\y=-\frac{1}{2} x-5+9\\\\y=-\frac{1}{2} x+4[/tex]

Answer:

DF = 9.5

Step-by-step explanation:

Given 2 secants from an external point to the circle, then

The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is

DE × DF = DC × DB

5(5 + x) = 5(5 + 4.5) ← divide both sides by 5

5 + x = 5 + 4.5

5 + x = 9.5 ( subtract 5 from both sides )

x = 4.5

Then

DF = DE + EF = 5 + 4.5 = 9.5

Answer:

c

Step-by-step explanation:

distance between town X and Z = 57 MILES

distance between y and z = 28 miles

distance from x to y = 57 - 28 = 29 miles

please check the attached image for a diagram that would help better understand the question

Answer: A would be your answer.

Step-by-step explanation: Internal conflict is when you have a problem with yourself and this means your not intercating with others.

Answer:

a = 34m²

Step-by-step explanation:

Rectangle

a = 3 * 6 = 18

Trapezoid

a = 4 * (2 + 6)/2 = 16

Combined

a = 18 + 16

a = 34

Answer:

the answer in the picture

Step-by-step explanation:

Answer:

Step-by-step explanation:

Numbers that is less than 5 like 4,3,2,1,0

Answer:

1>x>-2   or -2<x<1

Step-by-step explanation:

2<3-x<5   (minus 3)

-1<-x<2     (devide by -1)

1>x>-2

Answer:

I = PRT where I is the interest, P is the principal deposited/borrowed, R is the rate as a decimal (take the number & divide by 100), and T is time in years.

Answer:

20 m²

Step-by-step explanation:

Figure 1: 4 x 4 = 16

Figure 2: 2 x 2 = 4

16 + 4 = 20

Answer:

156 ft²

Step-by-step explanation:

Given :

The rectangular sides are 12 feet by 3 feet, 12 feet by 5 feet, and 12 feet by 4 feet.

The 2 triangular sides have a base of 3 feet and height of 4 feet

We sum the area of each side:

Area of triangular side = 1/2 * base * height

Since there are 2 triangular sides :

Total area of triangular side = 2(1/2 * base * height)

Triangular side = 2 * 1/2 * 3 * 4 = 12 feet²

Area of rectangle sides = lengtb * width

Area 1 = 12 * 3 = 36 ft²

Area 2 = 12 * 5 = 60 ft²

Area 3 = 12 * 4 = 48 ft²

Total = 12 + 36 + 60 + 48 = 156 ft²

Answer:

1:9

Step-by-step explanation:

~Refer to the attachment for the solution.

Answer:

D

Step-by-step explanation:

We have to added up the like therms (the therms with the same literal parts)

x^2 + 2x^2 = 3x^2

3x - 4x = -x

2 + 1 = 3

3x^2 - x + 3

Answer:

D

Step-by-step explanation:

Edge 2022

Answer:

64

Step-by-step explanation:

height of the hypotenuse:

[tex]\sqrt{60^2-36^2} = \sqrt{3600 - 1296} = \sqrt{2304} = 48[/tex]

36 : height = height : x

36 : 48 = 48 : x

x= 48^2/36 = 64

Answer:

X = 64

Step-by-step explanation:

Pythagoras Theorem

Similar Shapes

Answer:

b)

p = d − 2

p = d + 1

Step-by-step explanation:

From the above question:

Interpreting the statement above to form algebraic expressions, we have:

Variable p is 2 less than variable d.

Less than means to subtract in this context

p = d - 2

Variable p is also 1 more than variable d

More than means to add in this context

p = d + 1

Therefore, the pair of equations tha best models the relationship between p and d is Option b :

p = d − 2

p = d + 1

Answer:

5029

Step-by-step explanation:

There is a common difference between consecutive terms, that is

d = - 201 - (- 215) = - 187 - (- 201) = - 173 - (- 187) = 14

This indicates the sequence is arithmetic with sum to n term

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = - 215 and d = 14 , then

[tex]S_{47}[/tex] = [tex]\frac{47}{2}[/tex] [ (2 × - 215) + (46 × 14) ]

     = 23.5 (- 430 + 644)

    = 23.5 × 214

    = 5029

Answer:

Step-by-step explanation:

A company paid S /. 72 180 for a batch of 36 laptops and S /. 101 220 for a batch of 84 printers. What is the price per unit of each product?

For Laptops

72 180/36

= 2005

For Printers

101 220/84

= 1205

Answer:

12x+8-30x+5=2x-16-42x+24

-18x+13=-40x+8

22x=-5

x=-5/22

hopefully i did it with out mistakes

Step-by-step explanation:

click the photo there is answer

Answer:

see explanation

Step-by-step explanation:

Substituting y = 3x - 4 into the equation gives

7x - 5(3x - 4) = 4 ← distribute and simplify left side

7x - 15x + 20 = 4

- 8x + 20 = 4 ( subtract 20 from both sides )

- 8x = - 16 ( divide both sides by - 8 )

x = 2

Substitute x = 2 into y = 3x - 4

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

Answer:

n = 2.43 moles

Step-by-step explanation:

Given mass, m = 97.37 grams

The mass of Argon is, M = 39.948 g/mol

We know that,

No. of moles = given mass/molar mass

[tex]n=\dfrac{97.37}{39.948}\\\\n=2.43\ moles[/tex]

Hence, there are 2.43 moles of Argon.

Answer:

use formula y2-y1/x2-x1

Step-by-step explanation:

=8-5/3-4

=3/-1

=-3

Answer:

-3/1

Step-by-step explanation:

(3,8)   4,5)

5-8 divided into    4-3

-3/1

Mark the point (3,8) on  the coordinate plan on graph paper. Then go 3 down,1 right, and you'll reach (4,5)      (from left to right, from 3,8 to 4,5)

3 down means  negative 3

1 right  means positive 1

Answer:

45cm2

Step-by-step explanation:

10x7(base x height)=70

70/2=45

Answer:

2n.

Step-by-step explanation:

This an arithmetic sequence with a1 = 2 and d = 2

an = a1 + d(n - 1)

= 2 + 2(n - 1)

= 2n + 2 - 2

= 2n.

The probability that one shopper, selected at random prefers either Beverage A or Beverage C; P(A or C) = 12/25.

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

We are looking for the probability that one shopper, selected at random prefers either Beverage A or Beverage C.

a. A probability distribution of the experiment.

The probability of selecting Beverage A is ;

P(A) = 15/50 = 0.3

The probability of selecting Beverage B is ;

P(B) = 12/50 = 0.24

The probability of selecting Beverage C is ;

P(C) = 9/50 = 0.18

The probability of selecting Beverage D is ;

P(D) = 6/50 = 0.12

The probability of selecting Beverage E is ;

P(E) = 8/50 = 0.16

b. The probability that one shopper, selected at random prefers either Beverage A or Beverage C.

P(A or C) = 15/50 + 9/50

P(A or C) = 24/50

Thus, P(A or C) = 12/25

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Answer:

x=9

Step-by-step explanation:

−4(2x+5)+5x−1= −48

-8x-20+5x-1=-48

-3x-21=-48

-3x=-27

x=-27/-3

x=9

hello

Step-by-step explanation:

[tex]90.[/tex]

90 is the answer:)

Answer: code : seashore

Step-by-step explanation :

You need to subtract each equation and the answer you get for that tube is what you list in the line underneath. Please add a comment if you have any further questions!!!