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3 years ago

Expand. Your answer should be a polynomial in standard form. -p^2(p^2-p-1)=

Mathematics

1 answer:

kiruha [24]3 years ago

8 0

Answer:

Step-by-step explanation:

Use distributive property. Then use exponent law.

Exponent law used here = $a^{m}*a^{n}=a^{m+n}$

$-p^{2}(p^{2} - p - 1) = -p^{2}*p^{2} - p *(-p^{2}) - 1*(-p^{2}) \\\\= -p^{4} + p^{3}+p^{2}$

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Josiah invests $360 into an account that accrues 3% interest annually. Assuming no deposits or withdrawals are made, which equat

vlabodo [156]

Answer:

y = 360(1.03)x

Step-by-step explanation:

$F = P x (1 + i)^n$

F is the future worth, P is the present worth, I will be the interest rate, and n is the number of years. $F = ($360)(1.03)^x$

The principal amount of the money = $360

Annual rate of interest = 3%

Thus, the amount after x years which is increased by 3%.

Since, this amount represented by y,

The required equation that represents the amount of money in Josiah’s account, y, after x years is, $= 360(1+\frac{3}{100} )^x\\ = 360(1+0.03 )^x\\ = 360(1.03 )^x$

This amount represented by y,

Therefore, the required equation that represents the amount of money in Josiah’s account, y, after x years is,

$y = 360(1.03 )^x$

Hope this helps you!

Have a nice evening! ;)

5 0

3 years ago

Read 2 more answers

A bicyclist rides the same number of miles every minute. The ratio table below shows the number of miles she rides during certai

nika2105 [10]

Answer:

B) Find the ratio of minutes to miles, 4:1. Multiply 7.5 by 4

Step-by-step explanation:

A bicyclist rides the same number of miles every minute. The ratio table below shows the number of miles she rides during certain amounts of time.

Biking Times and Distances

Number of Minutes Number of Miles

10 2.5

16 4

? 7.5

48 12

Which statement explains how to find the number of minutes it takes to bike 7.5 miles?

B) Find the ratio of minutes to miles, 4:1. Multiply 7.5 by 4....

5 0

3 years ago

Read 2 more answers

Sketch the region that is common to the graphs of x ≥ 2,

Oliga [24]

a. Find the graph of their common region in the attachment

b. The area of the common region of the graphs is 8 units²

<h3>a. How to sketch the region common to the graphs?</h3>

Since we have x ≥ 2, y ≥ 0, and x + y ≤ 6, we plot each graph separately and find their region of intersection.

The graph of x ≥ 2 is the region right of the line x = 2.

The graph of y ≥ 0 is the region above the line y = 0 or x-axis.

To plot the graph of x + y ≤ 6, we first plot the graph of x + y = 6 ⇒ y = -x + 6. Then the graph of x + y ≤ 6 is the graph of y ≤ - x + 6.

So, the graph of x + y ≤ 6 is the region below the line y = - x + 6

From the graph, the regions intersect at (2, 0), (2, 4) and (6, 0)

Find the graph of their common region in the attachment

<h3>b. The area of the common region</h3>

From the graph, we see that the common region is a right angled triangle with

height = 4 units and
base = 4 units

So, its area = 1/2 × height × base

= 1/2 × 4 units × 4 units

= 1/2 × 16 units²

= 8 units²

So, the area of the common region of the graphs is 8 units²

Learn more about region common to graphs here:

brainly.com/question/27932405

#SPJ1

6 0

2 years ago

What is 153/4 as a whole number

maw [93]

$\frac{4}{3} = \frac{51}{n} \\ = > \frac{3}{4} = \frac{n}{51 } \\ = > n = \frac{3}{4} \times 51 \\ = > n = \frac{153}{4} \\ = > n = 38 \frac{1}{4}$

Hope you could get an idea from here.

Doubt clarification - use comment section.

6 0

2 years ago

( - 8)( - 4)(12)<br><br> I need help with this :)

Alisiya [41]

Answer:

= 384

Step-by-step explanation:

(-8)(-4)(12)

= (32)(12)

=384

8 0

3 years ago

Read 2 more answers