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3 years ago

THe yearly profits of a company is $35,000, but they have been decreasing 6% per year. What will be the profit in 8 years?

Mathematics

1 answer:

Elenna [48]3 years ago

7 0

Answer:

The total money will be $113750(I think)

Just check other's answers.(or use a calculator.)

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Determine if the table shows a linear or an exponential function

____ [38]

Answer:

<em>The table shows an exponential function</em>

Step-by-step explanation:

<u>Linear vs Exponential Functions</u>

A linear function is written as:

$y=mx+b$

where m and b are constants.

If a table contains a linear function, then for each pair of ordered pairs (x1,y1) and (x2,y2), the value of m must be constant.

The slope can be calculated as:

$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

An exponential function is written as:

$y=y_o.r^x$

Where r is the ratio and yo is a constant.

If a table contains an exponential function, for two ordered pairs (x1,y1) and (x2,y2), the value of r must be constant.

The ratio can be calculated as:

$\displaystyle r=\sqrt[x2-x1]{\frac{y2}{y1}}$

Calculate the slope for (0,4) and (1,2):

$\displaystyle m=\frac{2-4}{1-0}=-2$

Calculate the slope for (1,2) and (2,1):

$\displaystyle m=\frac{1-2}{2-1}=-1$

Since the slope is not the same, the function is not linear.

Now calculate the ratio for (0,4) and (1,2)

$\displaystyle r=\sqrt[1-0]{\frac{1}{2}}$

The radical of index 1 is simply equal to its argument:

$\displaystyle r=\frac{1}{2}$

Now calculate the ratio for (0,4) and (2,1)

$\displaystyle r=\sqrt[2-0]{\frac{1}{4}}$

$\displaystyle r=\sqrt{\frac{1}{4}}$

$\displaystyle r=\frac{1}{2}$

Testing other points we'll find the same ratio, thus the table is an exponential function

4 0

2 years ago

Read 2 more answers

Mr. Moore planted a tree in his backyard. His tree grew 3 1/3 feet over five years. if his tree grew at the same rate each year,

alina1380 [7]

Answer:

D. 2/3 per year.

Step-by-step explanation:

3 1

÷ 5

10 × 1

3 × 5

10 ÷ 5

15 ÷ 5

4 0

2 years ago

Given vectors a=(-1,-2), b=(-2,3), c=(3,-1), d=(-3,2) find the dot product of b and d.

goldfiish [28.3K]

hope it helps u.........

6 0

3 years ago

Lynn is making custom bricks. She combines 39 pounds of water and 48 pounds of brick dust in a mixing bucket. She spills 13 poun

artcher [175]

Answer:

A. 10 bricks

B. 4 pounds

Step-by-step explanation:

Water = 39 pounds

brick dust = 48 pounds

Total mixture = water + brick dust

= 39 + 48

= 87 pounds

She spills 13 pounds of the mixture while stirring

Remaining mixture = Total mixture - Spillage

= 87 pounds - 13 pounds

= 74 pounds

The mixture is then poured into small dirt holes to make bricks. Each brick requires 7 pounds of mixture

Number of bricks made = Remaining mixture / pounds per brick

= 74 pounds / 7 pounds

= 10 bricks remaining 4 pounds of the mixture

A. What is the greatest number of bricks Lynn can make?

10 bricks

B. How many pounds of mixture will be washed out of the bucket if Lynn makes the greatest number of bricks?

4 pounds

6 0

3 years ago

Write .5834 in Scientific Notation.

Serggg [28]

5.834 x 10 to the power of -1

6 0

3 years ago

Read 2 more answers