Equations of Exponential Functions

Given the following equation of an exponential function
C = 10.5(1.194)t
determine the base, b, of the exponential model. Is the base a growth or decay factor?

a. b is 1.94; It is a growth factor.
b. b is 1.194; It is a decay factor.
c. b is 10.5; It is a growth factor.
d. b is 10.5; It is a decay factor.

Please select the best answer from the choices provided

Answers

Answer 1

Answer:

A. B is 1.194; It is a growth factor.

Step-by-step explanation:

I calculated it logically


Related Questions

Which of the following numbers is one fifth of a given number if one fourth of that same number is 20

Answers

Answer:100

Step-by-step explanation:

A store is having a sale on chocolate chips and walnuts. For 4 pounds of chocolate chips and 8 pounds of walnuts, the total cost is $33. For 2 pounds of chocolate chips and 3 pounds of walnuts, the total cost is $13.
Find the cost for each pound of chocolate chips and each pound of walnuts.

Answers

Answer:

chocolate chip 7

walnuts 3.5

Step-by-step explanation:

assume x=chocolate chips

 y=walnuts.

equation

4x + 8y=33

(2x+3y=13)×2

new eq

4x + 8y=33

4x + 6y=26

------------------

 2y=7

  y=7/2

4x+ 8y = 33

4x + 8(7/2)= 333

4x= 33-28

x=7.00

hat is the following sum?
0 7(10√/x²y)
O
O
0 7(²√x²¹x²)

Answers

The sum of the given equation is 7[tex]\sqrt[5]{x^{2} y}[/tex].

What is fractional equation?A fractional equation is one in which one or more of its terms have the unknown as their denominator. Equations involving fractions can be resolved using the Cross-Product property.Therefore, when we reduce or simplify a fraction, we aim for maximum simplicity. In order to do this, we divide both the numerator and the denominator by the biggest integer that can be divided precisely into both numbers. In other words, we choose the greatest number that the top and bottom have in common and divide them by that.Equations using fractions require the solution of equations in which the unknown variable is a component of the fraction's numerator or denominator. To solve fractional equations, we must determine the value of the undetermined variable.

Given data :

4 ([tex]\sqrt[5]{x^{2} y}[/tex].) + 3 ([tex]\sqrt[5]{x^{2} y}[/tex].)

Add similar elements

= 7[tex]\sqrt[5]{x^{2} y}[/tex].

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in a group of 35 students 7 have yellow socks what percentage of the students have yellow socks

Answers

Answer:

20%

Step-by-step explanation:

[tex]\frac{7}{35} =\frac{y}{100}[/tex]

35 · y = 7 · 100

35y = 700

35y ÷ 35 = 700 ÷ 35

y = 20

Max kicks a football up at a velocity of 25 meters per second. If the ball makes contact with his foot 0.5 meter off the ground, how long will the ball stay in the air?

Answers

Answer:

25*0.5 = 12.5

A spinner is divided into five colored sections that are not of equal size: red, blue,
green, yellow, and purple. The spinner is spun several times, and the results are
recorded below:
Spinner Results
Color Frequency
Red
12
Blue
17
Green 17
Yellow 12
Purple 17
If the spinner is spun 500 more times, about how many times would you expect to
land on blue? Round your answer to the nearest whole number,

Answers

It would land on blue about 115 times. The spinner lands on blue roughly 23% of the time, and 115 is 23% of 500.

Sound waves can be ranked by their intensity, I, given in this formula, where r is the distance from the source of a sound with a power output of P.

[tex]P = 4xr^{2} .[/tex]

Which equation correctly rewrites the formula to solve for I?

A. [tex]I = \frac{P}{4xr^{2} }[/tex]
B. [tex]I = \frac{Pxr^{2} }{4}[/tex]
C. [tex]I = 4Pxr^{2}[/tex]
D. [tex]I = \frac{4P}{xr^{2} }[/tex]

Answers

Answer: C correctly rewrites the formula to solve I

Step-by-step explanation:

6th grader who needs help :( anyone know?

Answers

The answer is 4 so B

Answer:

B. 4

Step-by-step explanation:

Create an equation:

80 = 18x+8

Solve for x by subtracting both sides by 8:

80-8 = 18x+8-8

72 = 18x

Divide both sides by 18:

72/18 = 18x/18

4 = x

4 is the greatest number of DVDs she can buy.

(Please help) (one question) (NO LINKS)

Answers

Answer:

0.25

Step-by-step explanation:

hope that helps!!!!!!!!!!!!!!!!!!!! :)

This circle is centered at the origin, and the length of its radius is 4. What is
the circle's equation?
5+
4
-5
5
-5-
A. x2 + y2 =16
B. x + y = 4
C. X6 + y = 4
D. x2 + y2 = 4

Answers

I had the same problem

A. x2+y2=16 I just did this question.

can anyone help me with this click to see

Answers

Answer:

-3,-5,-6,-10

Step-by-step explanation:

Answer:

-3 -5 -6 -10

Step-by-step explanation:

The difference between six and a number is two​

Answers

Answer:

4.

Step-by-step explanation:

the difference means -.

between a number means use a variable (x) to substitute. so now you have the difference between x and 6 is to. is just means equals so you would set it up like this 6-x=2. you can make this easier by just asking yourself. what number plus 2 equals six? the answer would be 4. 4+2=6-->6-4=2.

plzzz I need the answer with full solution. *FIND THE SQUAER ROOT OF 2119936 BY DIVISION METHOD*. plzz help me with this question plzzzzzzzzz!.

Answers

Answer:

√2119936=1,456

Step-by-step explanation:

Julia's Burger Place made 3 burgers with onions and 12 burgers without onions. What is the ratio of the number of burgers without onions to the number of burgers with onions?

Answers

The ratio of number of burgers without onions to the number of burgers with onions is 4:1.

Ratio of numbers.

The ratio of numbers implies the relationship between the numbers when expressed in its simplest fraction. The relationship can be written in form of a/ b or a:b.

Given in the question that Julia's Burger Place made 3 burgers with onions and 12 burgers without onions. Then the ratio required can be expressed as;

ratio of number of burgers without onions to burgers with onions = (number of burgers without onions)/ (number of burgers with onions)

                = 12/ 3

                = 4/ 1

The ratio of number of burgers without onions to burgers with onions = 4:1

Therefore, the ratio of the number of burgers without onions to the number of burgers with onions is 4:1.

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An architect is designing a circular window to be installed in the
gable of a house. The metal window frame will be 1 foot wide and will be bordered by
the roof above and a wood beam below. The distance from the center of the window to the roof is 3 feet. What will be the circumference of the circular glass pane that will be
needed?

Answers

Answer:

12.57 ft

Step-by-step explanation:

First thing we need to find is the radius of the circular glass pane. We are given the information that the center of the glass plane is directly in the center of the triangle and that the closest distance from the center to the roof is 3 ft, including a metal border with a width of 1 ft.

Since the metal frame is the same width all the way around the window, we can safely conclude that the radius of the circular glass pane is 2 ft, as the 3ft measurement included the radius and the metal frame.

Now that we have our radius we can use the formula:

[tex]C=2\pi r[/tex] (Circumference = 2 x pi x radius)

Using 3.14 for pi we get:

[tex]C=2(3.14)(2)[/tex]

[tex]C=4 \pi[/tex] or 12.57 ft (2.d.p)

How do I solve 6,000-5,258

Answers

Answer:

742

Step-by-step explanation:

6000

-5258

   742

please help will give brainliest

Answers

Answer:

2112

Step-by-step explanation:

we find the area of the base first

which is 16*12/2 because it is a right triangle

16*12/2 = 96

then we multiply the base by the height

22*96 = 2112

as a note, remember, prism volume is all base * height

brainliest if this was helpful

Consider the inequality x > - 1.5. determine whether each value of x makes this inequality true

Answers

9514 1404 393

Answer:

  no, yes, yes, no, yes

Step-by-step explanation:

You're looking for values greater than -1.5. All positive numbers will be greater than any negative number.

The two negative numbers among the answer choices are both to the left of -1.5 on the number line. They are less than -1.5, so are not greater than -1.5.

The negative numbers are No; the positive numbers are Yes.

i need to show work it’s algebra 2

Answers

Answer:

a=4 because 4+2=6 on number one

Can someone solve this please? Thank you!

Answers

Answer:

.125

Step-by-step explanation:

1/4 times 1/2 equals .125.

Answer:

Total area of the box is 1 ft squared

Area of the shaded box is .125 ft squared

Area of the non - shaded box is .875 ft squared

Step-by-step explanation:

To find the total area, we can multiple the length * height, 1 * 1 = 1.

To find the shaded area, we can multiple the length * height, .5 * .24 = .125.

To find the total area, we can multiple the length * height of the box minus the shaded area, 1 * 1 - .125 = .875.

Help please will mark brainliest!

Answers

Answer:

Option B. Cosec θ = –5/3

Option C. Cot θ = 4/3

Option D. Cos θ = –4/5

Step-by-step explanation:

From the question given above, the following data were obtained:

Tan θ = 3/4

θ is in 3rd quadrant

Recall

Tan θ = Opposite / Adjacent

Tan θ = 3/4 = Opposite / Adjacent

Thus,

Opposite = 3

Adjacent = 4

Next, we shall determine the Hypothenus. This can be obtained as follow:

Opposite = 3

Adjacent = 4

Hypothenus =?

Hypo² = Opp² + Adj²

Hypo² = 3² + 4²

Hypo² = 9 + 16

Hypo² = 25

Take the square root of both side

Hypo = √25

Hypothenus = 5

Recall:

In the 3rd quadant, only Tan is positive.

Therefore,

Hypothenus = –5

Finally, we shall determine Sine θ, Cos θ, Cot θ and Cosec θ to determine which option is correct. This can be obtained as follow:

Opposite = 3

Adjacent = 4

Hypothenus = –5

Sine θ = Opposite / Hypothenus

Sine θ = 3/–5

Sine θ = –3/5

Cos θ = Adjacent / Hypothenus

Cos θ = 4/–5

Cos θ = –4/5

Cot θ = 1/ Tan θ

Tan θ = 3/4

Cot θ = 1 ÷ 3/4

Invert

Cot θ = 1 × 4/3

Cot θ = 4/3

Cosec θ = 1/ Sine θ

Sine θ = –3/5

Cosec θ = 1 ÷ –3/5

Invert

Cosec θ = 1 × –5/3

Cosec θ = –5/3

SUMMARY

Sine θ = –3/5

Cos θ = –4/5

Tan θ = 3/4

Cot θ = 4/3

Cosec θ = –5/3

Therefore, option B, C and D gives the correct answer to the question.

Suppose you have a rectangular flower bed whose area is 24ft^2 . The shortest side is (x-4) feet and the longest side is (2x) feet. Find the length of the shortest side.

Answers

Answer:

the short side is equal to 2 feet

Step-by-step explanation:

24 = (2x)*(x-4) = 2x² -8x

you'll just use solve on your calculator and get that the x is equal to -2 or 6

which means the short side must be equal to 2

Answer:

2 ft

Step-by-step explanation:

Sides are:

x - 4 and 2x

The area is the product of the long and short sides:

2x(x - 4) = 24x(x - 4) = 12x² - 4x = 12x² - 4x + 4 = 16(x - 2)² = 4²x - 2 = 4x = 6

The short side is:

x - 4 = 6 - 4 = 2 ft

A. B. AB ≅ AC
C. D. CS ≅ ST

Answers

Answer:

what are the rest of the choices, if the ones are the top ones they dont make sense.

Step-by-step explanation:

Adrian bought a jacket that costs 11 dollars and a scarf that costs 15 dollars. At the counter, he received a discount. If he only paid 22 dollars total, how many dollars was the discount?

Answers

There was 4 dollar of discount on the total amount.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

We are given that Adrian bought a jacket that costs 11 dollars and a scarf that costs 15 dollars.

At the counter, he received a discount. If he only paid 22 dollars total, then

Total cost 11 + 15 = 26

But 26 - 22 = 4

Therefore, the discount was 4 dollar.

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a
=
8.7
rounded to 1 DP
b
=
0.82
rounded to 2 DP
Find the maximum of
a
+
b

Answers

The maximum value considering DP of a and b is 9.52.

What is the decimal places of numbers?

The decimal places of a number are the number of digits to be considered after the decimal point. E.g Round 4.7583 to 2 dp, we have;

4.76 3 dp

The maximum value of a sum of numbers is the highest value obtained when these numbers are added one to each other. The decimal places of each number is put into consideration in the process.

From the given question;

a = 8.7 and b = 0.82

Thus,

a + b = 8.7 + 0.82

        = 9.52

a + b = 9.52

Therefore, the maximum of a + b = 9.52

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A painting is purchased for $350. If the value of the painting doubles every 5 years, then its value is given by the function
V(t) = 350 - 205, where t is the number of years since it was purchased and Vt) is its value in dollars) at that time. What is
the value of the painting 10 years after its purchase?

Answers

Answer:

$1400

Step-by-step explanation:

350 x 2 = 700 x 2 = $1400

identify the expeession equivalent to 2x+8 by substituting x=7 and x=5.​

Answers

Step-by-step explanation:

If you substitute the x in 2x+8 with 7, you get:

2(7)+8

14+8

22

If you substitute the x in 2x+8 with 5, you get:

2(5)+8

10+8

18

Hope this helps!

1. A family went to a restaurant. The total cost
of the meal was $46.50. The family had a
coupon for 30% off the total. What was the
final cost of the meal after the coupon was
used?

Answers

Answer:

32.55

Step-by-step explanation:

If you get 30% off, that means you pay (100% - 30% = 70% of the cost)

46.50 * 70%

46.50 *.70

32.55

The final cost (without tax) would be $32.55

If there are 26 successes in a sample with a size of 40, what is the sample
proportion?
A. 0.65
B. 0.52
C. 0.75
D. 0.26
SUBMIT

Answers

Answer:

0.65

Step-by-step explanation:

Use the drawing tools to form the correct answer on the graph.
Plot function g on the graph.

Answers

On solving the provided question, we cans ay that - in given inequality equation to -7 < x < -2; -2 < x < 3

What is inequality?

A connection between two expressions or values that is not equal in mathematics is referred to as an inequality. Inequality results from an imbalance, thus. In mathematics, an inequality establishes the relationship between two values that are not equal. Egality is not the same as inequality. Use the not equal symbol () in most cases when two values are not equal. To contrast values, whether they are tiny or huge, different inequalities are employed. By adjusting both sides until just the variables are left, you may eliminate many straightforward inequalities. However, several factors cause inequality: Divide or add negative values on both sides. Switch the left and right.

-7 < x < -2

-2 < x < 3

and 3 > x > 8

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