MATHEMATICS HIGH SCHOOL

A boat costs $11,850 and decreases in value by 10% per year. How much will the boat be worth after 8 years?A. $4,590.93

B. $11,770.00

C. $25,401.53

D. $5,101.04

Answers

Answer 1

Answer:

Answer:

The boat worth is $5101.04 after 8 years .

Option D is correct .

Step-by-step explanation:

The decrease exponential function is written in the form

$y = a (1 - r)^(t)$

Where a is the initial value , r is the rate of interest in the decimal form and t is the time in years .

As given

A boat costs $11,850 and decreases in value by 10% per year .

a = $ 11850

10% is written in the decimal form

$= (10)/(100)$

= 0.10

t = 8 years

Put all the values in the function

$y = 11850(1 - 0.10)^(8)$

$y = 11850(0.9)^(8)$

$y = 11850* 0.430467$

y = $5101.04

Therefore the boat worth is $5101.04 after 8 years .

Option D is correct .

Answer 2

Answer: 11,850 x .9 = 11,605

11605 x . 9 = 9,598.5   year 2

9,598.5 x .9 = 8,638.65

8,635 x .9 = 7,774.785 year 4

7,774.785 x .9 = 6,997.31

6,6997.31 x .9 = 6297.58   year 6

6297.58 x .9 = 5,667.82

5,667.82 x .9 = 5,101.04 year 8

The answer is D

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Mr hatch bout 4 round trip airplane tickets for $417 each. he also paid $50 in baggage fees. how much did mr hatch spend?

Answers

Answer:

$1718

Step-by-step explanation:

4 * 417 + 50

1668+50

1718

Mr Hatch spent $1718

a model rocket is launched into the air from ground level. the height, in feet, in feet, is modeled by p(x)=16x^2+32x, where x is the number of elapsed seconds. what is the total number of seconds the model rocket will be in the air?

Answers

Since you are given the function for the height of a rocket, we are to look for the value of X that gives us a value of p(x) = 0, which means that the model rocket has landed back onto the ground. One easy way to do this is by table method, meaning we substitute values of x to see if we can obtain the needed value of P(x). We should start from 1, since using 0 as our first value means that the rocket has not even launched up yet. Let us do this below:

x | p(x) = -16x^2+32x
--------------------------
1 | p(1) = -16(1)^2 + 32(1) = 16
2 | p(2) = -16(2)^2 + 32(2) = 0

Having obtained the desired result at x = 2, this means that the model rocket has been in the air for 2 seconds.

Final answer:

The model rocket is in the air for 0 seconds according to the given equation, which implies an immediate impact upon launch.

Explanation:

In this mathematical scenario, the model rocket's height p(x) over time x (elapsed seconds) is given by the quadratic equation p(x) = 16x^2 + 32x. The total amount of time the rocket is in the air will be the point when the rocket returns to ground level. This occurs when p(x) = 0, which represents the rocket's height being zero feet above the ground.

We can find out when this occurs by solving the quadratic equation for x. We can rearrange the quadratic equation to 16x^2 + 32x = 0. Factoring out 16x gives us 16x(x + 2) = 0. Solving for x will give two potential solutions: x = 0 (the initial launch point) and x = -2. However, since time cannot be negative in this context, we discard the -2 and our answer is x=0 s, the total time the model rocket will be in the air after being launched is 0 seconds.

Learn more about Quadratic Equations here:

brainly.com/question/30098550

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9+2 sdl;iaj;olijfa;olkjga;oilkgjvaoge;ilgkjv

Answers

Answer:

Step-by-step explanation:

At 10:57 A.M. A submarine was at a depth of feet. Its depth then changed at a rate of -8 feet per minute. What was its depth at 11:03 A.M.? Group of answer choices

Answers

Answer:

48 feet

Step-by-step explanation:

First we need to get the total minutes used by the submarine from 10:57 A.M to 11:03 A.M. The total minutes used within the specified period of time is 6 minutes.

If its depth then changed at a rate of 8 feet per minute, the submarine depth after 6 minutes will be expressed as shown;

8 feet = 1minute

x feet = 6 minutes

cross multiply;

x * 1 = 8 * 6

x = 48 feet

Hence the submarine depth at 11.03AM is 48 feet

What is a good reasoner this help plz.SO I copied an answer for my school and I accidentally copied "hope this helped" and she is wondering why I put that... PLZ HELP :/

Answers

Answer:

say that you meant to say "hope this is correct" but accidentally put that

Step-by-step explanation:

Answer: I pushed the wrong button on my computer I apologize.

Step-by-step explanation: That's the best I got.

2. Which of the following is the equation of a circle with the radius of 1.5 and its center at (-3,2)?A. (x+3)^2+(y-2)^2=1.5
B. (x-3)^2+(y+2)^2=1.5
C. (x+3)^2+(y-2)^2=2.25
D. (x-3)^2+(y+2)^2=2.25