Scott Samuels had pharmaceutical sales of $42,500 last month. If his commission rate is 9%, find the amount of his commission.

What is 1788.10643 rounded to the nearest hundredth??

wariber [46]

1788.11. Because the 0 will go to 1 because of the 6

3 0

3 years ago

How to do number 3 on the line plot

inessss [21]

its too zoomed in so im not able to see it

8 0

3 years ago

NO LINKS!! Jacob just won $32000 on the new game show, "The Wall,". He invested his winnings at an interest rate of 4.5%, compou

mixer [17]

Answers:

a) See the table below

b) The equation is $y = 32000(1.01125)^x$

c) $40,024.02

d) See the graph below

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Explanations:

a)

Start with part (b) where I detail how to get the equation.

Once the equation is found, plug in x = 0 to get

$y = 32000(1.01125)^x\\\\y = 32000(1.01125)^0\\\\y = 32000\\\\$

Repeat for x = 1

$y = 32000(1.01125)^x\\\\y = 32000(1.01125)^1\\\\y = 32360\\\\$

Repeat for x = 2, x = 3, x = 4 and x = 20 to get the table shown below.

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b)

The template for any exponential equation is $y = a(b)^x$

a = starting amount = 32000

b = growth factor

The annual interest rate is 4.5%

We compound quarterly, so the quarterly rate is (4.5%)/4 = 1.125% which converts to the decimal form 0.01125; adding one to this leads to the growth factor of b = 1.01125

We go from $y = a(b)^x$ to $y = 32000(1.01125)^x$

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c)

Plug in x = 20 to represent 20 quarters have elapsed (aka 20/4 = 5 years)

$y = 32000(1.01125)^x\\\\y = 32000(1.01125)^{20}\\\\y \approx 32000(1.25075052084381)\\\\y \approx 40024.016667002\\\\y \approx 40024.02\\\\$

The investment would be worth $40,024.02 after five years, aka twenty quarters.

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d)

See below for the graph. I'm using GeoGebra to make the graph. Another option is Desmos. It's preferable to use technology than to graph by hand. If you wanted to graph by hand, then you'd plot each of the points found in the table. Then draw a curve through all those points.

8 0

2 years ago

A prism has a surface area of 120 ft2. Which sentence describes the effect of measuring the surface area in square yards? A. The

S_A_V [24]

<span>C. The surface area stays the same, but the number representing the surface area decreases.

1 yard = 3 ft, so the number in ft is greater. </span>

5 0

4 years ago

What is the difference x +5/ x +2 - x + 1/x ^2 + 2x?

Lisa [10]

ANSWER
The difference is,

$\frac{ {x}^{2} + 4x - 1}{ {x}^{2} + 2x}$

EXPLANATION

To find the difference, we just have to simplify the expression.

The given expression is

$\frac{x + 5}{x + 2} - \frac{(x + 1)}{ {x}^{2} + 2x}$

We factor the denominator of the second fraction to get,

$=\frac{x + 5}{x + 2} - \frac{(x + 1)}{ x( x+ 2)}$

We can now see clearly that the LCM is

$x(x + 2)$

We collect LCM to get,

$=\frac{x(x + 5) - (x + 1)}{ x( x+ 2)}$
We now expand the bracket to obtain,

$=\frac{ {x}^{2} + 5x - x - 1}{ {x}^{2} + 2x}$

This gives us,

$=\frac{ {x}^{2} + 4x - 1}{ {x}^{2} + 2x}$

8 0

3 years ago

Read 2 more answers