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Anna71 [15]
3 years ago
10

What is the future value (total amount due) on a $12,000 loan at 8% compounded

Mathematics
1 answer:
svp [43]3 years ago
3 0

Answer: $20,780.10

Step-by-step explanation:

You need the Compound Interest Formula

A = P(1 + r/n)^nt

Step 1: Create the equation.

12,000(1 + 0.08/2)¹⁴

Step 2: Solve the equation.

Follow PEMDAS (parenthesis, exponents, multiplication...)

Parenthesis: (1 + 0.08/2) = (1 + 0.04) = (1.04)

Exponents: (1.04)¹⁴ = (1.73168)

Multiplication: 12,000(1.73168) = 20,780.1

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Suppose<br> cos(π/2−x) =3/5, cos x =4/5<br> find sin, tan, csc, sec, cot
Pani-rosa [81]
Cos (π/2 - x) = sin x = 3/5
tan x = sin x / cos x = 3/5 / 4/5 = 3/4
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5 0
3 years ago
The ball followed a path modelled by the equation h = −0.001! + 0.5 + 2.5 where h is the height of the ball in feet and is the h
Mama L [17]

The heights the balls hit a fence at 350 ft distance are 65 feet, 38 feet and 30 feet, respectively

<h3>Represent the distance-height relationship for each player’s ball as an equation, in a table and on a graph. </h3>

<u>Juan</u>

Juan's equation is given as:

h = -0.001d^2 + 0.5d + 2.5

h =

Set d to multiples of 50 from 0 to 400.

So, the table of values of Juan's function is:

d (ft)                   h(ft)

0                          2.5

50                        25

100                      42.5

150                        55

200                      62.5

250                        65

300                      62.5

350                        65

400                      42.5

See attachment for the graph of Juan's function

<u>Mark</u>

A quadratic function is represented as:

h = ad^2 + bd + c

Using the values on the table of values, we have:

c = 3 -- the constant value

So, the equation becomes

h = ad^2 + bd + 3

Using the two other values on the table of values, we have:

23 = a(50)^2 + b(50) + 3

38 = a(100)^2 + b(100) + 3

Using a graphing tool, we have:

a = -0.001

b = 0.45

So, Mark's equation is h(d) = -0.001d^2 + 0.45d + 3

See attachment for Mark's graph.

<u>Barry</u>

From the graph, we have the table of values of Barry's function to be:

d (ft)                   h(ft)

0                          2.5

50                        21

100                      35

150                       44

200                      48

250                       46

300                      41

350                       30

400                      14

450                      0

Using a graphing tool, we have the quadratic function to be:

y = -0.001x^2 +0.4x +2.5

<h3><u>The shortest and the greatest distance before hitting the ground</u></h3>

From the graphs, equations and tables, the distance travelled by the balls are:

Juan = 505 feet

Mark = 457 feet

Barry = 450 feet

This means that Juan's ball would travel the greatest distance while Barry's ball would travel the shortest.

<h3>The height the balls hit a fence at 350 ft distance</h3>

To do this, we set d = 350

From the graphs, equations and tables, the height at 350 ft by the balls are:

Juan = 65 feet

Mark = 38 feet

Barry = 30 feet

The above represents the height the balls hit the fence

Read more about quadratic functions at:

brainly.com/question/12446886

#SPJ1

4 0
2 years ago
Helpppppp plsss!!!!!!graph it on your paper​ will give brainliest
nydimaria [60]

Answer:

see attached

Step-by-step explanation:

graph y = -3/2x - 2

x Intercept:  0 = -3/2x -2

               3/2x = -2

                    x = <u>-2 (2)</u>

                            3

                    x = -4/3

                   (-4/3,  0)

y intercept: (0, -2)

6 0
3 years ago
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