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1 year ago

Find the arc length shown in red. Give your answer in terms of . A 10 cm

Mathematics

1 answer:

salantis [7]1 year ago

3 0

Answer:

5π/2 cm

Step-by-step explanation:

Given,

Radius ( r ) = 10 cm

Since, the angle is 90, the length of the the arc is π r/ 4

π * 10 / 4

= 10π/4

= 5π/2

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Anne deposited $500 in an account that earns 6% simple annual interest. Shelly deposited $500 in an account that earns 6% annual

Inga [223]

Answer:

It is clear that, The Shelly account is $11.23 more than that in Anne account .

Step-by-step explanation:

Given as :

For Anne

The amount deposited in account = p = $500

The rate of interest = r = 6% at simple interest

The time period of deposit = t = 4 years

Let The amount received in account after 4 years = $ $A_1$

<u>From Simple Interest method</u>

Simple Interest = $\dfrac{\textrm principal\times \textrm rate\times \textrm time}{100}$

Or, s.i = $\dfrac{\textrm p\times \textrm r\times \textrm t}{100}$

Or, s.i = $\dfrac{\textrm 500\times \textrm 6\times \textrm 4}{100}$

Or, s.i = $\dfrac{12000}{100}$

i.e s.i = $120

∵ Amount = Principal + Interest

Or, $A_1$ = p + s.i

Or $A_1$ = $500 + $120

Or, Amount = $620

So, The Amount in Anne account after 4 years is $620

Again

For, Shelly

The amount deposited in account = P = $500

The rate of interest = R = 6% compounded annually

The time period of deposit = T = 4 years

Let The amount received in account after 4 years = $ $A_2$

<u>From Compound Interest method</u>

Amount = Principal × $(1+\dfrac{\textrm rate}{100})^{\textrm time}$

Or, $A_2$ = P × $(1+\dfrac{\textrm R}{100})^{\textrm T}$

Or, $A_2$ = $500 × $(1+\dfrac{\textrm 6}{100})^{\textrm 4}$

Or, $A_2$ = $500 × $(1.06)^{4}$

Or, $A_2$ = $500 × 1.26247

Or, $A_2$ = $631.23

So, The amount received by Shelly in her account after 4 years = $631.23

Now, Difference between amount received in their account

i.e $A_2$ - $A_1$ = $631.23 - $620

Or, $A_2$ - $A_1$ = $11.23

Hence, It is clear that, The Shelly account is $11.23 more than that in Anne account . Answer

8 0

2 years ago

Make a table for f(x) = 2.5x − 10.5 from 2-6. I just need the numbers

myrzilka [38]

Answer:

∶

−

Step-by-step explanation:

5 0

1 year ago

Function D models the depth of a submarine where D(x) is the depth in meters. When the submarine is x miles from its launching l

mixer [17]

The correct option D; models the depth of the submarine.

<h3>Define the term parabola?</h3>

Parabola, also known as an open curve or conic section, is formed when a right circular cone and a plane perpendicular to one of the cone's elements cross.

When a submarine is x miles out of its launch place, we need to figure out which table best represents the depth of the submarine using the function d, wherein d(x) is the depth, in meters.

Both x = 5 as well as x = 40 have zeros.

Since it's a parabola,

D(x) = a(x-5)(x-40)

vertex = (22.5, -146)

Thus,

-146 = a(22.5-5)(22.5-40)

a = -146/(22.5-5)(22.5-40)

a = 0.4767

Put value of a in equation.

D(x) = a(x-5)(x-40)

D(x) = 0.4767(x-5)(x-40)

The equation above is quadratic function model.

We can see from the graph that:

(5) and (0), respectively, are points on the graph (40,0).

Consequently, if x = 5 when y = 0, then.

y(min) > -160.

Additionally, the table in option (D) represents the submarine's depth.

To know more about the parabola, here

brainly.com/question/2841375

#SPJ4

The graph of the question with the options are attached.

6 0

9 months ago

Help me solve problem one please.

max2010maxim [7]

Answer: His temperature is 99°F

Step-by-step explanation:

Let's state what we know:

Steve's temperature was initially 102°F

Later it dropped 3°F lower

Since his temperature decreased we need to subtract 3 from 102 to see what his temperature is now

102-3=99

4 0

1 year ago

What is the square root of 3 multiplied by 1/2 in the simplest radical form?

steposvetlana [31]

Answer:

usbqjqnamallqnbajabqjqnqkqlqlqllqqlqoqoqnajajhchhsgavbsujwhwjwjqqbq.

hshsjwhwjwjuwubwbwwuwhquuwqjqjqkqbqv pangit mo potang ina mo bulok wlang silbe wag kana mag ajabajajajqkqjbqiqiq

8 0

1 year ago