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daser333 [38]
3 years ago
6

Ethan throws a ball into the air from a cliff that is 152.4 m high with an initial velocity of 4 m/s. How long does it take for

the ball to hit the ground?
Mathematics
2 answers:
Dmitry_Shevchenko [17]3 years ago
8 0
38.1 seconds I believe simply divide 4m/s into 152.4 m and you will have 38.1 seconds
Sveta_85 [38]3 years ago
4 0
 <span>Use the formula that gives height in meters: h = –4.9t2 + v0t + h0. Substitute in the given values and solve.

I hope this helps; if it does please mark brainliest 

-Maranda</span>
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Find the future value and interest earned if $8704.56 is invested for 8 years at 4% compounded (a) semiannually and (b) continuo
Sliva [168]

a) The future value, principal plus interest, with compound interest on a principal of $8,704.56 at a rate of 4% per year compounded 2 times per year over 8 years is <u>$11,949.50</u>.

b) The future value, principal plus interest, with compound interest on a principal of $8,704.56 at a rate of 4% per year compounded continuously over 8 years is <u>$11,987.29</u>.

<h3>How is the future value determined?</h3>

The future value can be determined using an online finance calculator.

Data and Calculations:

<h3>a) Compounded Semiannually:</h3>

Principal (P): $8,704.56

Annual Rate (R): 4%

Compound (n): Compounding Semi-Annually

Time (t in years): 8 years

<u>Result</u>:

A = $11,949.50

A = P + I where

P (principal) = $8,704.56

I (interest) = $3,244.94

<h3>Calculation Steps:</h3>

First, convert R as a percent to r as a decimal

r = R/100

r = 4/100

r = 0.04 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 8,704.56(1 + 0.04/2)(2)(8)

A = 8,704.56(1 + 0.02)(16)

A = $11,949.50

<h3>b) Compounded Continuously:</h3>

Using the formula A = Pert

Principal (P):  $8,704.56

Annual Rate (R): 4%

Compound (n): Compounding Continuously

Time (t in years):   8 years

<u>Result</u>:

A = $11,987.29

A = P + I where

P (principal) = $8,704.56

I (interest) = $3,282.73

<h3>Calculation Steps:</h3>

First, convert R as a percent to r as a decimal

r = R/100

r = 4/100

r = 0.04 rate per year,

Then solve the equation for A, using the mathematical constant, e = 2.71828

A = Pert

A = 8,704.56(2.71828)(0.04)(8)

A = $11,987.29

Thus, while the future value of $8,704.56 at a rate of 4% per year compounded semiannually over 8 years is <u>$11,949.50</u>,  the future value of $8,704.56 at a rate of 4% per year compounded continuously over 8 years is <u>$11,987.29</u>.

Learn more about compounding interest at brainly.com/question/24274034

#SPJ1

8 0
1 year ago
What is the meaning of the point (25, 20)?
Reil [10]

Answer:

(25, 20 ) represents that the dimension of the coral is 25 feet long and 20 feet wide.

Step-by-step explanation:

The general representation P(x,y) represents the Cartesian Representation of a point in a 2 Dimension.

Here, x represents the distance of the point   P from y axis to the x axis.

and y  represents the distance of the point   P from x axis to the y axis.

(x, y) together gives the  2 dimensional representation of the point P.

Now here, the given coordinates are (25, 20)

So, here x = 25 and y = 20

So, (25, 20 ) represents that the dimension of the coral  is 25 feet long and 20 feet wide.

Hence, option 3 is the most appropriate.

6 0
3 years ago
KHAN ACADEMY PLS HELP
Grace [21]

Answer:

I think its b

Step-by-step explanation:

6 0
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Write an expression that can be used to multiply 6x198 mentally
Black_prince [1.1K]
6(100+90+8) is the equation
6x100 =600
  6x90 =540
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             1,188 is the answer                                      



7 0
3 years ago
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Evaluate each expression if x = –3, y = 8, and z = –4. xz
podryga [215]
The answer to the question is 12
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3 years ago
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