Find the exponential function that satisfies the given conditions:
Initial value = 66, decreasing at a rate of 0.5% per week (5 points)

f(t) = 0.5 ⋅ 0.34t
f(t) = 66 ⋅ 1.5t
f(t) = 66 ⋅ 0.995t
f(t) = 66 ⋅ 1.005t

Answers

Answer 1

Answer:

C. f(t) = 66 * 0.995^t

Step-by-step explanation:

Required function is:

f(t) = 66*(1 - 5/100)^t = 66*0.005^t

The matching option is C


Related Questions

The Ferrari Testarossa and the Porsche 911 Turbo are 400 miles apart and headed straight toward each other. The Ferrari is going 120mph, and the porsche is going 130 mph. How many hours will it take for the accident to occur?

Answers

Answer:

1.6 hours

Step by step explanation;

1 hour would make them only 150 miles apart, 60% of 120 and 60% of 130 added together is 150 mph, so 1.6 hours

Hope this helps :)

A line passes through the points (0, 9) and (9, 19). What is its equation in slope-intercept form?

Answers

Answer:

y = 10/9x + 9

Step-by-step explanation:

To write the equation in its slope-intercept form, y = mx + b, we need to find the slope (m) of the line and its y-intercept (b).

Given the points (0, 9) and (9, 19), we can solve for the slope of the line using the following formula:

[tex]m = \frac{y2 - y1}{x2 - x1}[/tex]

Let (x1, y1) = (0, 9)

and (x2, y2) = (9, 19)

Substitute these values on the formula:

[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{19 - 9}{9 - 0} = \frac{10}{9}[/tex]

Therefore, the slope (m ) = 10/9.

Next, the y-intercept is the point on the graph where it crosses the y-axis, and has the coordinates, (0, b ). It is also the value of the y when x = 0.

One of the given points is the y-intercept of the line, given by (0, 9). The y-coordinate, 9, is the value of b.

Therefore, the linear equation in slope-intercept form is: y = 10/9x + 9

Với n là số tự nhiêm, xét đinh lí " nếu n là số tự nhiên lẻ, thì n^2-1 chia hết cho 8". Định lí trên được viết dưới dạng P->Q
a. hãy xác định mệnh đề P và Q
b. Phát biểu định lý trên bằng cách sử dụng điều kiện cần

Answers

Answer:

Ewan

Step-by-step explanation:

ewan ko na po sorry po at

kasi hindi kopo maintindihan

tapus hindi naman po ako

magaling

i know its easy but i forgot how to do this pls heeeelp me

Answers

Answer:

First number line: 3rd line from 0

Second number line: 7th line from 0

(Sorry if I explained it kinda weird, hope this helps!)

Step-by-step explanation:

On the first number line, you would put the dot on the 3rd line from zero. From 0 to one, it's split into 5 equal parts. 0 is 0/5 and 1 is 5/5. So all you do is  plot the dot on 3/5, or the 3rd line from 0.

Same thing with the second number line. Except for this time, it's split into 8 equal parts. Just count to the 7th line in between 0 and 1 and plot the dot.

Plz help me due tonight

Answers

Answer: Angle RTQ or QTR

Please please help me with this question just help me on (C)

Answers

Answer:

move 3 seconds on your x-axis, and find your intersection with you y axis to determine the height h in m.

Am assuming you drew the function...

substitute 3 in the equation

[tex]h=-5({t})^{2} +20t\\ h=-5({3})^{2} +20(3)\\h=60-45=15m[/tex]

What is 9 + 10?

(You have to say the right thing)

Answers

Answer:

21

Step-by-step explanation:

Answer:

9+10=19

have a nice day..

whats the opposite of -3 pls :)

Answers

Answer:

positive 3

Step-by-step explanation:

answer- positive 3

Answer:

Th opposite is positive 3

Step-by-step explanation:

Since it is -3 the opposite of a positive, it would be positive 3 (3)

Hope this helps!

(4x+2)=102+44 solve for x

Answers

Solution:(4x + 2) = 102 + 44or, 4x = 102 + 44 - 2or, 4x = 144or, x = 144 ÷ 4or, x = 36Answer:

x = 36

4x + 2 = 102 +44
4x+2 = 146
(4x+2) + (-2) = 146 + (-2)
x=36

3 4. What is the slope of the line that passes through (-2, 1) and (8,5)? ​

Answers

Answer: 2/5

Explanation: Ask if you want an explanation!

Answer:    slope = ²/₅

Step-by-step explanation:      

      The question gives us two points, (-2, 1) and (8,5), from which we can find the slope and later the equation of the line.

Finding the Slope

The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)      

                                          =  (5 - 1) ÷ (8 - (-2))    

                                          =   ⁴/₁₀

                                          = ²/₅  

Checking my answer:

We can check to see if the answer is correct by drawing the line and seeing if it passes through both points. If it does, then the slope is correct.

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:

                                ⇒  y - 1 =  ²/₅ (x + 2)

                                       

In the graph below (created using Desmos), the line passes through both points. This suggests that we calculated the slope correctly.

Pleasee can someone help and show work? I hate fractions and i have school in like 30 minutes D:

Answers

Answer:

Sure, what do you need help with?

Step-by-step explanation:

Send whatever you need help with and I'll see if I can explain it.

A salesperson earns nine percent commission on sales. The equation for the amount he or she earns in commission is, where s is the amount sold. How much commission is c=0.09s will he or she earn if the amount sold is $6,000? Write an ordered pair to represent your answer.

Answers

The amount in commission he or she earns If the amount sold is $6,000 is; $540

And this can be written in ordered pair form as; ($6000, $540)

According to the word problem question;

If the salesperson earns 9 percent commission on sales;

In essence, 9/100 of the sales proceedings belongs to the salesperson.

Mathematically; the equation for the amount he or she earns in commission is;

c = 0.09s

where; c = commission and s = amount sold.

Consequently, if the amount sold is $6,000;

The amount he or she earns in commission is;

c = 0.09 × $6,000

c = $540.

The answer in ordered pair form is therefore;

(s,c) = ($6000, $540)

Read more:

https://brainly.com/question/18738793

which of the following number is the greatest number? a)23,675 b)66,072 c)25,976 d)91,731

Answers

Answer:

D. 91,731

Step-by-step explanation:

91,731 would be the greatest number since it has the largest number in the ten-thousands place.

What is the slope of the line that passes through the points (-3, 1) and (1, — 5) ?
o
0
e
1
1
تراثي
3
e
Sco

Answers

Answer:

-3/2

Step-by-step explanation:

-5-1/1-(-3)

-6/4

-3/2

what is the percent change from 450 to 117

Answers

Answer:

Change ≈ 284.6154%

Step-by-step explanation:

To calculate the percent change of two numbers such as 450 to 117, you use the Percent Change Formula, where a is the start value and b is the end value.

(b-a)/a x 100

When we insert a = 450 and b = 117 in the formula above, then we get the following that we can simplify and solve to get the percent change from 450 to 117.

(117-45)/450 x 100

-333/450 x 100

Change = -74%

Now you know that the percentage change from 450 to 117 is -74%. Since it is a negative answer, it means that if you subtract 74% from 450, then you will get 117.

what is the answer of 9+(-7)?

Answers

Answer:

2

Step-by-step explanation:

Answer:

9 + (-7) = 2

Step-by-step explanation:

write (n+4)(n+3)(n+2) as a permutation

Answers

Answer:

1267 456 578 123 679 333 5

Step-by-step explanation:

yo

HELP IM ABOTH TO FAIL

Given the explicit rule, F(n) = 250 + 130(n-1), what is the 12th term?
Of(12)=-$1180
Of(12)= $1810
O f(12)= $1680
Of(12)=-$1050

Answers

Answer:

f(12) = 1680

Step-by-step explanation:

Substitute n = 12 into f(n) , that is

f(12) = 250 + 130(12 - 1) = 250 + 130(11) = 250 + 1430 = 1680

Find an equation of the line with slope 3 that
contains the point (7.11).
y = mx + b

Answers

The equation would be: Y = 3x + -10

Using a set of numbers find the mean round to the nearest tenth median mode and range 8,6,3,7,1,6,5,6

Answers

Answer:

Mean 5.3, Median 6, Mode 6, Range 7

Step-by-step explanation:

First we arrange the numbers from smallest to the largest. (When you are done count them to see if you have the same amount of numbers that you had before you arrange them.)

1, 3, 5, 6, 6, 6, 7, 8

Mean: is the average of all the numbers :add all numbers / how many numbers we have

(1+ 3+ 5+ 6+ 6+ 6+ 7+ 8) /8 = 42/8 = 5.25 ≈5.3 (rounded to the nearest tenth)

Median: is average of the 2 numbers that are in the middle 1, 3, 5, 6, 6, 6, 7, 8

(6+6)/2 = 6

Mode: is the number that appears the most so is 6

1, 3, 5, 6, 6, 6, 7, 8

Range: is the difference between the highest and the lowest value

1, 3, 5, 6, 6, 6, 7, 8

8-1 = 7

Answer:

Mean- 42

Median- 6

Mode- 6

Range- 7

Step-by-step explanation:

Which point of intersection is the solution to the equations y = 2/5x-1/2 and y = -1/3x + 2/3?
A. A
B. B
C. C
D. D

Answers

The answer is B because it is the only one where the line intersects on the y - axis at -1/2 and 2/3, which are the y -intercepts

Given m∠14+m∠3=180° .

Which lines are parallel, if any must be parallel, based on the given information?


a∥b by the converse of the same-side interior angles theorem.

c∥d by the converse of the corresponding angles theorem.

Not enough information to make a conclusion.

a∥b by the converse of the alternate interior angles theorem.

description of picture : Two nearly horizontal lines, line c and line d, where line c is above line d. These lines are intersected by two diagonal lines, line a and line b. Line a is to the left of line b. The angles created by each intersection are numbered. From top left, going clockwise, the angles where line a intersects line c are labeled eleven, ten, nine, and twelve. The angles where line b intersects line c are labeled seven, six, five, and eight. The angles where line a intersects line d are labeled fifteen, fourteen, thirteen and sixteen. The angles where line b intersects line d are labeled three, two, one and four.

Answers

Answer:

c∥d by the converse of the corresponding angles theorem.

Step-by-step explanation:

just took the test

The cost of $ 385 in 2004 was 10% more than the cost in2003. Calculate the cost in 2003.

Answers

9514 1404 393

Answer:

  $350

Step-by-step explanation:

Let c represent the cost in 2003. Then we have the cost in 2004 is ...

  c + 0.10·c = 385

  1.1c = 385

  c = 385/1.1 = 350

The cost in 2003 was $350.

Solve the equation. Then check your solution.


15 (negative 42 x + 40) = 15 (negative 8 x + 244)

a.

â€"6

c.

6

b.

0.7

d.

3




Please select the best answer from the choices provided



A

B

C

D

Answers

Answer:

I think so b is the option

help me with this please

Answers

Answer:1/2
Explanation

Preliminary:

Fractions in Mathematics are rational numbers that can be written in the form x/y, where x and y are integers, and y 0 and the number x is not a multiple of y. In fractions x is called the numerator while y is called the denominator.

Fraction Types:

Common Fraction = is a fraction expressed in the form x/y, x as the numerator and y as the denominator. x and y are integers and y 0Mixed fraction = is a combination of whole numbers and fractions, expressed in the form a [tex] \frac{b}{c} [/tex]Decimal fractions are indicated by a comma (,) as a separator between the round and fractional parts. The round part is in front of the comma and the fraction part is behind it. One digit after the comma means the denominator of the fraction 10, two digits after the comma means the denominator of the fraction 100, and so on.A percent fraction is a fraction that has a denominator of 100, expressed in the form a%. example 50% is the same as [tex] \frac{50}{100} [/tex]

Answer:

[tex] \frac{1}{2} [/tex]

Step-by-step explanation:

[tex]3( \frac{6}{8} - \frac{1}{2} ) + 0.25 = \frac{3 \times 2}{4 \times 2} - \frac{1}{2} = \frac{3 - 2 \times 1}{4} = \frac{1}{4} + 0.25 = \frac{50}{100} = \frac{1 \times 50}{2 \times 50} = \frac{1}{2} [/tex]

Answer Details:

Grade: 6-Primary School

Subject: Math

Chapter: 6

Sub-chapter: Fractional Counting

Categorization Code: 6.2.6

What is the answer to y=3/4x-5 in standard form?

Answers

Answer:

Standard form Answer : 3x - 4y = 20

Answer:

3x - 4y=20

Step-by-step explanation:

please write the answers with explanation..if nonsense answers I will report.....so answer properly​

Answers

Answer: 86 degree

Step-by-step explanation:

The Straight line is 180 degrees so if we minus 180 by the outward degree there will be the degree for inward degree

P: 95 degrees T: 160 degree S: 88 degrees R: 91 degree

The degree for the pentagon is 540 degrees so If I minus 540 by all the four inward degrees there will be the missing last degree

95 + 160 + 88 + 91 = 434 degree

540 - 434 = 106 degree

180 - 106 = 94 degree

So the last inward degree is 94

Finally, if I minus 180 by 94 (the way I used to find inward degree and to find outward degree for now) it equals 86 degree

so X is 86 degree

Sorry if this was too confusing:)

Answer:

1st--> x=135

2nd-->x=74

Step-by-step explanation:

1st:

triangle =180°

180-90=90

90÷2=45

straight line=180°

180-45=135

therefore x=135°

2nd:

pentagon=540°

straight line=180°

180-92=88 for line s

180-20=160 for line q

180-85=95 for line p

180-89=91 for line r

160+95+88+91=434

540-434=106

180-106=74

therefore x=74°

hope that's okay

Answer the question and explain how you got what you got please

Answers

Answer:

[tex]\frac{3}{2}[/tex]

Step-by-step explanation:

The simple formula for slope is: [tex]\frac{rise}{run}[/tex] or "rise over run".

The rise is 3 and run is 2.

Hope it helped :)


1. Translate the following sentence into an equation and solve. The
product of five and the sum of a number x and three is twelve .?

Answers

Answer: 5(x+3)=12

Step-by-step explanation:

Given (x – 7)2 = 36, select the values of x.
---x = 13
---x = 1
x = –29
x = 42

Given (x – 1)2 = 50, select the values of x.
x = –49
x = 51
---x=1+5 root 2
---x=1-5 root 2

Answers

For this first one it's:

A. ---x = 13

B. ---x = 1

Second one:

C. ---x=1+5 root 2

D. ---x=1-5 root 2

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