All categories

3 years ago

A. Is this an arithmetic sequence? How do you know?

Mathematics

1 answer:

pogonyaev3 years ago

7 0

Answer:

a. Yes. The difference is common and equal to $1750

b. $1750

c. $20000 was initial investment

d. This is linear equation with start point of 20000 and slope of 1750:

y = 1750x + 20000

e. After another 10 years (on the top of 5 given) the investment will be:

y = 1750*15 + 20000 = $46250

f. After 20 years the value of investment will be:

y = 1750*20 + 20000 = $55000

You might be interested in

Find the area of the shaded region formed by circle that touches the edges of a rectangle.

disa [49]

Answer:

$266.14 \: {cm}^{2}$

Step-by-step explanation:

In case of rectangle:

Length l = 30 cm

Width w = 14 cm

Since, circle touches the edges (lengths) of the rectangle.

Therefore,

Diameter of circle = 14 cm

So, radius r = 14/2 = 7 cm

Area of the shaded region = Area of rectangle - Area of circle

$= lw - \pi {r}^{2} \\ \\ = 30 \times 14 - 3.14 {(7)}^{2} \\ \\ = 420 - 3.14 \times 49 \\ \\ = 420 - 153.86 \\ \\ = 266.14 \: {cm}^{2}$

6 0

3 years ago

Bowling ball have a potential energy or kinetic energy as it sits at the top of a building and why

sashaice [31]

Answer:

potential because there is no force acting upon it

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Four calculators cost $160 the Unit rate

Agata [3.3K]

The unit rates is $40 $160 divides by 4 calculators gets you $40

4 0

3 years ago

pls help will give brainliest Rena used the steps below to evaluate the expression (StartFraction (x Superscript negative 3 Base

kaheart [24]

Answer:

First "order of operations" mistake: step 2

First arithmetic mistake: step 4

Step-by-step explanation:

As we understand Rena's work, she wants to simplify ...

$\left(\dfrac{x^{-3}y^{-2}}{2x^4y^{-4}}\right)^{-3}$

for x = -1 and y = 2.

Her work seems to be ...

Step 1

$\text{Substitute $x=-1$ and $y=2$ into the expression}\\\\\left(\dfrac{(-1)^{-3}2^{-2}}{2(-1)^42^{-4}}\right)^{-3}\qquad\text{no error}$

Step 2

$\text{Simplify the parentheses}\\\\\left(\dfrac{2^4}{2(-1)^4(-1)^32^2}\right)^{-3}=\left(\dfrac{2^2}{2(-1)^7}\right)^{-3}\qquad\text{order of operations error}$

Step 3

$\text{Evaluate the power to a power}\\\\\dfrac{2^{-6}}{2^{-3}(-1)^{21}}\qquad\text{no error}$

Step 4

$\text{Use reciprocals and find the value}\\\\\dfrac{1}{2^32^6(-1)^{21}}=\dfrac{1}{8\cdot 64\cdot (-1)}=\dfrac{-1}{512}\qquad\text{error: $2^3$ is used instead of $2^{-3}$}$

_____

So, the first arithmetic error is in Step 4. However, the order of operations requires exponents be evaluated first. Doing that makes step 2 look like ...

$\left(\dfrac{-\dfrac{1}{4}}{2(1)\dfrac{1}{16}}\right)^{-3}=(-2)^{-3}\qquad\text{proper Step 2}$

We expect your answer is supposed to be Step 4.

7 0

4 years ago

Which of the following number is nine thousand six hundred forty-two? A 6,492 B 964.2 C 9,462 D 9,642

blondinia [14]

The correct answer is d

3 0

3 years ago