Exponential Functions

Below is a graph of exponential functions label I through VI.

Determine which of the following exponential formula(s) represents II and IV in the graph above.
(a) 10(1.02)t (b) 10(1.05)t
(x) 20(1.02)t (8) 30(0.85)t
(g) 30(0.95)t (∅0 30(1.05)t

a. a and β c. ∈ and 8
b. 8 and a d. β and ∅

Please select the best answer from the choices provided

Answer:

29%

Step-by-step explanation:

5+48+22=75

22/75=0.2933

nearest % is 29%

If a student made two patterns to show multiplication of a decimal by powers of ten. All the value are incorrect. The correct value are: 36.75, 367.5, 3,675, 36.75, 0.03675, 0.003675.

Pattern A

3.675×10 =3.7650 Incorrect

3.675×10 = 36.75 Correct

3.675× 100= 3.67500  Incorrect

3.675×100= 367.5 Correct

3.675×1,000= 3.675000 Incorrect

3.675×1,000 = 3,675 Correct

Pattern B

3.675×10=3.0675 Incorrect

3.675× 10= 36.75 Correct

3.675×0.01= 3.00675 Incorrect

3.675×0.01= 0.03675 Correct

3.675×0.001= 3.000675 Incorrect

3.675×0.001= 0.003675 Correct

The correct value are: 36.75, 367.5, 3,675, 36.75, 0.03675, 0.003675.

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she will be able to knit 13 scarfs

Given ,

To Find : Scarfs Mr John will be able to make if he has 30.42 yards of yarn

2.34 yards of yarn = 1 scarf

30.42 yards of yarn = [tex]\frac{30.42}{2.34}[/tex]

                                 = 13 scarfs

Hence , the number of scarfs Mr John will make with 30.42 yards of yarn is 13

Answer:

b

Step-by-step explanation:

Answer:

A, D

Step-by-step explanation:

1.67+1.4>3, 4.6-1.47>3.

Answer:

A and D

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

[tex]\frac{5}{12.5} = \frac{-4}{2x}[/tex]

[tex]5 \cdot 2x = 12.5 \cdot -4[/tex]

[tex]10x = -50[/tex]

[tex]x=-5[/tex]

Answer:

(a) They asked for one value of x

but I'll give you both

They're 2 and -2

(b)g(-1) = 4

Step-by-step explanation:

For (a) they're are looking for the value of x that is corresponding to 1 on the y axis

If you observe from your graph only -2 and 2 will have a corresponding value of 1 therefore they're the answers

for (b) Just look for the corresponding value of -1(x -axis) on the y axis which is 4

If the amount of time in seconds, t, it takes for a bungee jumper to free fall is given by the function t equals the square root of the quantity d over 16. The distance the jumper fall is: A 400 feet.

Using this formula to find the distance by solving for d

t=√d/q

Where:

t = Time = 5 seconds

d = Distance = ?

q = Quantity = 16

So,

5 seconds=√d/16

d=16x5²

d=16 × 25

d= 400 feet

Therefore we can conclude that the correct option is A.

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Answer:

~22381

Step-by-step explanation:

a=starting value = 18000

r=rate = 2%=0.02

Exponential Growth:

b=1+r=1+0.02=1.02

b=1+r=1+0.02=1.02

Write Exponential Function:

y=18000(1.02)^x

y=18000(1.02)

x

Put it all together

\text{Plug in time for x:}

Plug in time for x:

y=18000(1.02)^{11}

y=18000(1.02)

11

Evauate:

y= 22380.73755

y=22380.73755

Round:

y\approx 22381

y≈22381

Answer:

9.42

Step-by-step explanation:

Using the law of Sines we get

[tex]a = 14 \times \frac{ \sin(41) }{ \sin(77) } = 9.426[/tex]

The angle (77) was found by subtracting 41 and 62 from 180.

180 - 41 - 62 = 77

Answer:

Chapppppppp kid l Hfhssh

Answer:

314

Step-by-step explanation:

Formula for area -> A= PI times radius squared

10x10=100x3.14+314

Answer:

314.16ft

Step-by-step explanation:

Diameter = 2  

×

Radius

Diameter = 2

×

10

Diameter = 20 feet

9514 1404 393

Answer:

  47

Step-by-step explanation:

Given:

  a1 = 26, a37 = 278

Find:

  a4

Solution:

Filling in the given values in the formula for the general term of an arithmetic sequence, we have ...

  an = a1 +d(n -1)

  a37 = 26 +d(37 -1) = 278

  d = (278 -26)/36 = 7 . . . . . . solve for d

Then the 4th term is ...

  a4 = 26 +7(4 -1)

  a4 = 47

Answer:

A.) Parameter = 1.67 ; 0.25

B.) Statistic = 1.59, 0.30

C.) Population distribution

D.) Sampling distribution of means

E.) 0.058

F.) 0.395

G.) 0.072

Step-by-step explanation:

A.) The parameters are measured quantities or characteristics derived from the population. The parameter here describes the mean and standard deviation of all participants ;

Population mean = 1.67

Population standard deviation = 0.25

B.) Statistic are measured quantities which are characteristics of the sample. Here, we have the sample mean and standard deviation

Sample mean = 1.59

Sample standard deviation = 0.30

C.) The population distribution is the plot of the histogram prepared using data from the population (all participants)

D.) The plot of the mean value obtained from the repeated measurement or simulation of the sample data is called sampling distribution of the means.

E.) Mean finish time of 30 randomly participants :

Sample size, n = 30

Standard Error = s/√n

Standard Error = 0.30 /√30 = 0.0548

F.) If one participant is selected at random, what is the probability that his/her time will be less than 1.59 hours

P(x < 1.59)

Z = (xbar - μ) / σ ; (1.59 - 1.67) / 0.30 = - 0.267

P(Z < - 0.267) = 0.395 (Z probability calculator)

G.) P(x < 1.59)

Z = (xbar - μ) / s ; (1.59 - 1.67) / (0.30/√30) = - 1.46

P(Z < -1.46) = 0.072 (Z probability calculator)

Answer:

1.1  R5.83

1.2 R70.01

1.3 58.34%

Step-by-step explanation:

Given that he buys a pack of 12 racing cars  for  R49,99 then the unit cost for a car which is the total cost divided by the number of cars in a pack

= R49,99/12

= R4.17

If each car is sold for R10 then the profit made on each car which is the difference between the cost and the selling price

= R10 - R4.17

= R5.83

The profit margin on one pack of 12 racing cars

Profit margin is the ratio of the profit to the total selling price

The total profit (profit on one pack of 12 racing cars)

= R5.83 * 12

=R70.01

Total selling price = R10 * 12

=R120

Margin = R70.01 / R120

= 58.34%

Answer:

undefined

Step-by-step explanation:

slope formula:

m =y2-y1 / x2-x1

m= -11-18 / 4-4= -29/0

you cannot divide by zero so the slope is undefined

Answer:

x=57

Step-by-step explanation:

The sum of the angles of a triangle add to 180 degrees

(x-5) + (2x-7) + 21  = 180

Combine like terms

3x +9 = 180

Subtract 9 from each side

3x+9-9= 180-9

3x = 171

Divide by 3

3x/3 =171/3

x =57

Answer:

Step-by-step explanation:

a.we konw DC=2b and DO=OC, so the coordinate of D(-b, 0), C(b, 0)

b.we konw the height of rectangle is h, so the coordinate of A(-b, h), B(b, h).

Answer:

where is the other part of the question

Answer:

The geometric mean is 9.798

Step-by-step explanation:

Answer:

13.416407864998738

Answer:

RM832.29

Step-by-step explanation:

Calculate PV Savings

To calculate the present value of the savings, we can use the formula:

PV = cash savings / (1 + r)^t

Where PV is the present value, r is the discount rate, and t is the number of years.

Plugging in the values given in the problem, we get:

PV = RM2,000 / (1 + 0.15)^20

= RM2,000 / 1.15^20

= RM832.29

So the present value of the savings is RM832.29.

Answer: RM25,919.89.

Step-by-step explanation:

The present value of the cash savings is the sum of the present value of each year's cash savings.

To calculate this, the formula for the present value of a single cash flow is used:

Present Value = Future Value / (1 + r)^n

Where r is the discount rate, and n is the number of years.

So, for the first year's cash savings, the present value would be:

PV = 2000 / (1 + 0.15)^1 = 1739.13

For the second year's cash savings, the present value would be:

PV = 2000 / (1 + 0.15)^2 = 1510.71

This can be repeated for the remaining 18 years, and the sum of all the present values is the total present value of the cash savings over 20 years:

Total PV = 1739.13 + 1510.71 + .... + 437.66 = RM25,919.89

Therefore, the present value of the cash savings over 20 years with a 15% discount rate is RM25,919.89.

On solving the provided question, we can say that - by equation angles will be, x + 5x = 85 => 6x = 85 => x = 14.1666666667

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

let one angle be = x

other angle be 5x

then, x + 5x = 85

6x = 85

x = 14.1666666667

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Answer:

Okay

Step-by-step explanation:

I will try to help you

Answer:

Ok I also have a code: F5LS4F

Step-by-step explanation:

I heard you can get tickets in their discord community or something like that.

the inequalities that represent the situation are,

Ox+y≤ 30

0y≤6

0 x ≥ 10

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

Here, given that,

A chef makes small and large snacks to sell at a local art show.

He cannot make more than 30

snacks before the show, with no more than 6 large snacks.

The chef must make at least 10 small snacks to earn a profit.

Let,

x represent the number of small snacks

and y represent the number of large snacks.

Given x ≥ 0 and y 20

So, we get,

the inequalities that represent the situation are,

Ox+y≤ 30

0y≤6

0 x ≥ 10

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