The value of a boat is depreciating at a rate of 7% per year. In 2006, the boat was worth $17,300. Find the value of the boat in 2011. Enter the exponential decay function for this situation.
The exponential decay function is y = .

In 2011 the boat will be worth $ .

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]V=Ar^t\\ \\ V=17300((100-7)/100)^t\\ V=17300(0.93)^{(y-2006)}\\ V(2011)=17300(0.93)^{(2012-2006)}=\$ 11192.29[/tex]


Related Questions

If a tree cast shadow that is 42 feet long and a man whose height is 6 feet cast a shadow that is 5 feet long how tall is the tree ?

Answers

x/6=42/5
5x=252
x=50.4

F(t)=212-6t
what is the value of t when F (t) = 140?

Answers

Answer: -628

Step-by-step explanation:

F(140) = 212 - 6(140)

F(140) = 212 - 840

F(140) = -628

Find the equation of a line parallel to the equation y = 5x + 7 through the point (2,7).​

Answers

Answer:

y = 5x + 7

Step-by-step explanation:

1. Substitue the numbers into their spots.

7 = 5(2)+b

2. Find b by simplifying

7 = 10 + b

-3 = b

3. Substitute it back in since parallel lines have the same slope.

Pls help I need a good grade

Answers

Answer:

f= -14

Step-by-step explanation:

Answer:

f= -14

Step-by-step explanation:

if the original quantity is 10 and the new quantity is 3 what is the percent decrease

Answers

Answer:

70% Decrease

Step-by-step explanation:

Answer:

70%

Step-by-step explanation:

The percent decrease is 70%.

Which of the following is a rational number?

square root of 79, square root of 80, square root of 81, square root of 82

Answers

Answer:

square root of 81.

Step-by-step explanation:

A cone has a base area of 20 m and a volume of 160 m. Find the height of the cone​

Answers

Given:

Base area of cone =20 m²

Volume of the cone = 160 m³

To find:

The height of the cone.

Solution:

We know that, the volume of a cone is

[tex]V=\dfrac{1}{3}Bh[/tex]

Where, B is the base area and h is the height of the cone.

Putting V=160 and B=20, we get

[tex]160=\dfrac{1}{3}(20)h[/tex]

[tex]480=20h[/tex]

[tex]\dfrac{480}{20}=h[/tex]

[tex]24=h[/tex]

Therefore, the height of the cone is 24 m.

f(x) = x^2. What is g(x)?

Answers

the answer is “B”
g(x)= 3x^2

solving the systems of linear equations by substitution.

x+2y=6
5x+2y=18​

Answers

Here you go...........

What does the enlargement look like and what are the coordinates?

Answers

Answer:

(-6, -3) (-3,-3) (-3,-6)

Step-by-step explanation:

Multiple all of the vertices by 1.5.

(-6, -3) (-3,-3) (-3,-6)

Hope I helped!

[enlargment will still be a triangle]

EASY
? I think it is

Answers

Answer:

C.

Step-by-step explanation:

PLEASE HELP!!!
question 1: What is the coefficient of the third term of the trinomial? (In other words, what is C?)

(2x + 3)(4x − 1) = 8x^2 +10x − C


Question 2: What is the coefficient of the second term of the polynomial? (In other words, what is B?)

(x + 2)(2x^2 + x − 1) = 2x^3 + Bx^2 + x − 2


question 3: What is the coefficient of the third term of the polynomial? (In other words, what is C?)

(x + 2)(x^2 −3x − 2) = x^3 −x^2 −Cx − 4

Answers

The value of C is -3 and the value of B is 5

Expansion

Given the expression

(2x + 3)(4x − 1)

On expansion, ww will have:

(2x + 3)(4x − 1) = 8x^2 - 2x + 12x - 3

(2x + 3)(4x − 1) = 8x^2 + 10x - 3

Hence the value of C is -3

For the expression (x + 2)(2x^2 + x − 1)

Expnd

(x + 2)(2x^2 + x − 1)  = 2x^3 + x^2 - x + 4x^2 + 2x - 2

(x + 2)(2x^2 + x − 1) = 2x^3+ 5x^2 +x - 2

Hence the value of B is 5

Learn more on expansion here: https://brainly.com/question/13602562

50 points! I only want mhanifa to help me so no one else answer unless you actually know how to do it

Answers

Answer:

Bbc

Step-by-step explanation:

At the City Zoo, of the zoo is set aside for the monkeys. There are 4 different monkeys, each
with an equal-sized area. What fraction of the zoo is set aside for one monkey area?
Can someone plz answer me...

A.1/4

B.4/15

C.1/13

D.1/36

Answers

i think part of this question is missing between “at the city zoo” and “of the zoo.”

but i think the answer could be a.

because if there are 4 different monkeys, and they all got 1/4 of space, it would be equal.

How much is 20% off of $90.75?

Answers

The answer is $18.15

0.20x$90.75

If a1 = 4 and an = -3an-1 then find the value of a4.

Answers

Answer:

[tex]a_4 = -108[/tex]

Step-by-step explanation:

Given

[tex]a_n = -3a_{n-1}[/tex]

[tex]a_1 = 4[/tex]

Required

Find [tex]a_4[/tex]

[tex]a_4 = -3a_{4-1}[/tex]

[tex]a_4 = -3a_3[/tex]

We calculate for a3

[tex]a_3 = -3a_{3-1}[/tex]

[tex]a_3 = -3a_2[/tex]

Calculate for a2

[tex]a_2 = -3a_{2-1[/tex]

[tex]a_2 = -3a_1[/tex]

Substitute 4 for a1

[tex]a_2 = -3*4[/tex]

[tex]a_2 = -12[/tex]

Substitute -12 for a2 in [tex]a_3 = -3a_2[/tex]

[tex]a_3 = -3 * -12[/tex]

[tex]a_3 = 36[/tex]

Substitute 36 for a3 in [tex]a_4 = -3a_3[/tex]

[tex]a_4 = -3*36[/tex]

[tex]a_4 = -108[/tex]

What is the quotient of 33.288 and 7.6?

Answers

Answer:

219/50 or 4.38

Step-by-step explanation:

divide

Work out the surface area

Answers

Answer:

189

Step-by-step explanation:

6 imes 4.5divide2

13.5

13.5

67.5

54

40.5

10x – 3>-23

Please helpppp

Answers

Answer:

-2 i think i am not sure though

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

First, add 3 to both sides to get 10x > -20. Then, divide both sides by 10 to get x = -2. I hope this helps :)

can you answer this​

Answers

Answer:

B. 7ab²c

Step-by-step explanation:

The GCF of 21a²b^4c and 49ab²c³ is

7ab²c

Answer:

The correct answer is b.

A study showed that 25% of the students drive themselves to school. Based on the suggested probability, in a class of 18 students, what would be the probability that at least 6 students drive themselves to school? (CDF)

A) 0.139
B) 0.283
C) 0.717
D) 0.861

Answers

Answer:

B) 0.283

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

25% of the students drive themselves to school.

This means that [tex]p = 0.25[/tex]

Class of 18 students

This means that [tex]n = 18[/tex]

What would be the probability that at least 6 students drive themselves to school?

This is

[tex]P(X \geq 6) = 1 - P(X < 6)[/tex]

In which

[tex]P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{15,0}.(0.25)^{0}.(0.75)^{18} = 0.006[/tex]

[tex]P(X = 1) = C_{15,1}.(0.25)^{1}.(0.75)^{17} = 0.034[/tex]

[tex]P(X = 2) = C_{15,2}.(0.25)^{2}.(0.75)^{16} = 0.096[/tex]

[tex]P(X = 3) = C_{15,3}.(0.25)^{3}.(0.75)^{15} = 0.17[/tex]

[tex]P(X = 4) = C_{15,4}.(0.25)^{4}.(0.75)^{14} = 0.213[/tex]

[tex]P(X = 5) = C_{15,5}.(0.25)^{5}.(0.75)^{13} = 0.199[/tex]

[tex]P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.006 + 0.034 + 0.096 + 0.17 + 0.213 + 0.199 = 0.718[/tex]

[tex]P(X \geq 6) = 1 - P(X < 6) = 1 - 0.718 = 0.282[/tex]

Closest option is B, just a small rounding difference.

if someone could explain this to me :((​

Answers

Answer:

A) (0,2)

Step-by-step explanation:

The Y-Intercept is where the line on the coordinate plane meets the y axis which in this case is 2

Answer:

A. (0, 2)

Step-by-step explanation:

So first things first, you will want to either put the line on a graph by hand or, in a graphing calculator, I recommend DESMOS

the table is a set of coordinates so

(-4, -18) (-2.5, -10.5) (-.4, 0) (0, 2) (2, 12)

Then you'll put these coordinates into a graph and the point you see touching the y-line is your answer, (0, 2)

hope this helps!!

Chris works at a jewelry store, and he earns 4% commission on all sales that he makes. If Chris's jewelry sales total $1,370, how much will he earn in commission?

Answers

$1370 x .04 (4%) = $54.80

Mr. Voelz estimates that he will spend $10 on concessions at the basketball game, He actually spends $15. What is the percent error?

PLEASE ANSWER

Answers

Answer:

.........................................................................................................................................................................

Step-by-step explanation:

3/8x5/4 Helpppppp pls

Answers

Answer:

9/25 or .36

Step-by-step explanation:

find the area of the shaded region under the
standard normal curve. If convenient, use technology to find the area

Answers

Answer

The area of the shaded region under the standard normal curve is 0.4834.

Step-by-step explanation:

A random variable X is said to have a normal distribution with mean, µ and variance σ².

Then , is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z  N (0, 1).

The distribution of these z-variates is known as the standard normal distribution.

Compute the area under the curve between -2.13 and 0 as follows:

                           

Thus, the area of the shaded region under the standard normal curve is 0.4834.

6. Find the ICM of 60 and 400

Answers

Answer: it's 1200

Step-by-step explanation: please give me brainliest

400x3=1200

60x20=1200

The LCM of 60 and 400 is 1200. The multiples of 60 are 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720, 780, 840, 900, 960, 1020, 1080, 1140, 1200, and more.

The multiples of 400 are 40, 80, 120, 160, 240, 280, 320, 360, 400, 440, 480, 520, 560, 600, 640, 680, 720, 760, 800, 840, 880, 920, 960, 1000, 1040, 1080, 1120, 1160, 1200 and so on and so forth.

Therefore, the LCM is 1200.

Is a coin flip​ random? Why or why​ not, in your​ opinion?
Choose the correct answer below.
A.
Yes. You will get heads on every other flip.
B.
Yes. You cannot predict the outcome beforehand.
C.
No. You must run numerous trials before you can tell.
D.
No. You can predict the outcome beforehand.

Answers

Answer:

B

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Select three ratios that are equivalent to
8
:
20
8:208, colon, 20.
Choose 3 answers:
Choose 3 answers:

(Choice A)
A
1
:
4
1:41, colon, 4

(Choice B)
B
4
:
10
4:104, colon, 10

(Choice C)
C
24
:
60
24:6024, colon, 60

(Choice D)
D
2
:
5
2:52, colon, 5

(Choice E)
E
10
:
24
10:24

Answers

Answer:

Its b,c,d

Step-by-step explanation:

Hello Brainly pleas help

Answers

Answer:

can you take a better pick

Step-by-step explanation:

3 units easy cuz 1.5 from A to zero and 1.5 feom zero to B.
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