Please help I need to find the area and circumference of halve the pizza.

$13,957 is invested, part at 7% and the rest at 6%. If the interest earned from the amount invested at 7% exceeds the interest e

ch4aika [34]

Answer:

The Amount invested at 7% interest is $12,855

The Amount invested at 6% interest = $1,102

Step-by-step explanation:

Given as :

The Total money invested = $13,957

Let The money invested at 7% = $p_1$ = $A

And The money invested at 6% = $p_2$ = $13957 - $A

Let The interest earn at 7% = $I_1$

And The interest earn at 6% = $I_2$

$I_1$ - $I_2$ = $833.73

Let The time period = 1 year

Now,<u> From Simple Interest method</u>

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

Or, $I_1$ = $\dfrac{\textrm p_1\times \textrm 7\times \textrm 1}{100}$

Or, $I_1$ = $\dfrac{\textrm A\times \textrm 7\times \textrm 1}{100}$

And

$I_2$ = $\dfrac{\textrm p_2\times \textrm 6\times \textrm 1}{100}$

Or, $I_2$ = $\dfrac{\textrm (13,957 - A)\times \textrm 6\times \textrm 1}{100}$

∵ $I_1$ - $I_2$ = $833.73

So, $\dfrac{\textrm A\times \textrm 7\times \textrm 1}{100}$ - $\dfrac{\textrm (13,957 - A)\times \textrm 6\times \textrm 1}{100}$ = $833.73

Or, 7 A - 6 (13,957 - A) = $833.73 × 100

Or, 7 A - $83,742 + 6 A = $83373

Or, 13 A = $83373 + $83742

Or, 13 A = $167,115

∴ A = $\dfrac{167115}{13}$

i.e A = $12,855

So, The Amount invested at 7% interest = A = $12,855

And The Amount invested at 6% interest = ($13,957 - A) = $13,957 - $12,855

I.e The Amount invested at 6% interest = $1,102

Hence,The Amount invested at 7% interest is $12,855

And The Amount invested at 6% interest = $1,102 . Answer

8 0

3 years ago

Greatest common factor of 18 and 42

Phantasy [73]

The greatest common factor of 18 and 42 would be 2.

6 0

3 years ago

Read 2 more answers

A student solved for the radius of a circle with a circumference of 12π Step 1: C = 2 pi r. Step 2: 12 pi = 2 pi r. Step 3: Star

Greeley [361]

Answer:

The student made a mistake in step 4

The length of the radius should be 6 cm

Step-by-step explanation:

Let us write each step to find the radius of a circle from its circumference

Step 1:

∵ C = 2πr

∵ C = 12π

Step 2:

Equate 12π by 2πr

∴ 12π = 2πr

Step 3:

Divide both sides by 2π

∵ $\frac{12\pi }{2\pi }=\frac{2\pi r}{2\pi }$

Step 4:

∴ 6 = r

∴ The radius of the circle is 6 cm

The student mad a mistake he divided the left hand side by 2π and the right hand side by 2 only he left π with r

Step 4:

∴ 6 = πr

So he divided both sides again by π

Step 5:

∵ $\frac{6}{\pi }=\frac{\pi r}{\pi }$

Step 7:

∴ $\frac{6}{\pi }$ = r

The student made a mistake in step 4

The length of the radius should be 6 cm

3 0

3 years ago

Read 2 more answers

The formula for the area, a, of a regular polygon in terms of the perimeter of the polygon, p, and the length of the apothem, a,

kotykmax [81]

The equivalent equation that can express the area of a polygon in terms of the perimeter is given by A = P/2

<h3>What is Polygon: </h3>

A closed, two-dimensional object composed of straight lines is called a polygon. Typically names of polygons are based on the polygon's number of sides Like triangles, rectangles, pentagons, etc.

<h3>Apothem of a polygon: </h3>

a line segment connecting the midpoint of a side to the center of a regular polygon is known as the Apothem of a polygon.

The area of a polygon with Apothem is given by

<h3> Area = 1/2 × perimeter × apothem </h3>

Here given that

Number of sides of Polygon = 5 sides

Let P be the perimeter

Given the length of the Apothem = a

By the given formula,

Area of the Polygon, A = (1/2) [P][a]

=> A = P/2

Therefore,

The equivalent equation that can express the area of a polygon in terms of the perimeter is given by A = P/2

Learn more about Polygons at

brainly.com/question/24464711

#SPJ4

4 0

1 year ago

0 and - 3/-5 which is grater

Alex Ar [27]

Answer:

Step-by-step explanation:

-3/-5 is greater because -3/-5 = 3/5

So, -3/-5 is greater

6 0

3 years ago