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Sergio [31]
2 years ago
14

Use the formula for the amount, a = p(1 + rt), to find the indicated quantity.

Mathematics
1 answer:
Alexeev081 [22]2 years ago
5 0

a= p(1+rt)

a= $4,100(1+12%×2×0.25)

a= $4,100×(1+6%) 100%=1 -> 6%= 0,06

a= $4,100×1,06

a= $4,346

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An object is launched from a launching pad 144 ft. above the ground at a velocity of 128ft/sec. what is the maximum height reach
ollegr [7]

Answer:

18) a. h(x) = -16x² + vx + h(0) ⇒ h(x) = -16x² + 128x + 144

b. The maximum height = 400 feet

c. Attached graph

19) The rocket will reach the maximum height after 4 seconds

20) The rocket hits the ground after 9 seconds

Step-by-step explanation:

* Lets study the rule of motion for an object with constant acceleration

# The distance S = ut ± 1/2 at², where u is the initial velocity, t is the time

  and a is the acceleration of gravity

# The vertical distances h in x second is h(x) - h(0), where h(0)

   is the initial height of the object above the ground

∵ h(x) = vx + 1/2 ax², where h is the vrtical distance, v is the initial

  velocity, a is the acceleration of gravity (32 feet/second²) and x

  is the time

18)a.

∵ The value of a = -32 ft/sec² ⇒ negative because the direction

   of the motion

  is upward

∴ h(x) - h(0) = vx - (1/2)(32)(x²) ⇒ (1/2)(32) = 16

∴ h(x) = vx - 16x² + h(0)

∴ h(x) = -16x² + vx + h(0) ⇒ proved

* Find the height of the object after x seconds from the ground

∵ h(0) = 144 and v = 128 ft/sec

∴ h(x) = -16x² + 128x + 144

b.

* At the maximum height h'(x) = 0

∵ h'(x) = -32x + 128

∴ -32x + 128 = 0 ⇒ subtract 128 from both sides

∴ -32x = -128 ⇒ ÷ -32

∴ x = 4 seconds

- The time for the maximum height = 4 seconds

- Substitute this value of x in the equation of h(x)

∴ The maximum height = -16(4)² + 128(4) + 144 = 400 feet

c. Attached graph

19)

- The object will reach the maximum height after 4 seconds

20)

- When the rocket hits the ground h(x) = 0

∵ h(x) = -16x² + 128x + 144

∴ 0 = -16x² + 128x + 144 ⇒ divide the two sides by -16

∴ x² - 8x - 9 = 0 ⇒ use the factorization to find the value of x

∵ x² - 8x - 9 = 0

∴ (x - 9)( x + 1) = 0

∴ x - 9 = 0 OR x + 1 = 0

∴ x = 9 OR x = -1

- We will rejected -1 because there is no -ve value for the time

* The time for the object to hit the ground is 9 seconds

8 0
3 years ago
A line of best fit predicts that when x equals 28 y will equal 27.255 but y actually equals 26 what is the residual in this case
Kobotan [32]

Answer:

The answer is -1.255 for residual value.

Step-by-step explanation:

We are tasked to solve for the residual value given that when x equals 29, y will be equals to 27.255. But, when it is tested, y actual value is 26. The formula in solving residual is shown below:

Residual value = Observed value - predicted value

Residual value =  26 - 27.255

Residual values = -1.255

4 0
3 years ago
REEEEEEEEEEEEE POINTS
VMariaS [17]

Answer:

Thanksssssssssssssssssssss

7 0
3 years ago
Read 2 more answers
I don’t know how you do 17.1 divided by 0.9.
andreyandreev [35.5K]
The answer is 19


work :

1-multiply the numbers by a submultiple of 10 to remove the decimal points.
17.1 \times 10 = 171 \\  \\ 0.9 \times 10 = 9

2-

now do the division :
171 \div 9 = 19

so the answer is 19



note: there is no need to get it back to decimal number unless you multiply just one of the numbers or multiply the numbers with different submultiples of 10



good luck
7 0
3 years ago
Read 2 more answers
PLS HELP TELL WHETHER X AND Y SHOW DIRECT VARIATION!!!
jarptica [38.1K]

Answer:

Try using this calculator

Step-by-step explanation:

https://www.mathpapa.com/algebra-calculator.html

4 0
3 years ago
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