An electronics store receives shipments containing 500 batteries each.

7500 dollars is placed in an account with an annual interest rate of 7.75%. To the nearest year, how long will it take for the a

MakcuM [25]

Answer:

It will take 55 years for the account value to reach 38200 dollars

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

$E = P*I*t$

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

$T = E + P$ .

In this problem, we ahve that:

$T = 38200, P = 7500, I = 0.075$

So

First we find how much we have to earn in interest.

$38200 = E + 7500$ .

$E = 38200 - 7500$

$E = 30700$

How much time to earn this interest?

$E = P*I*t$

$30700 = 7500*0.075*t$

$t = \frac{30700}{7500*0.075}$

$t = 54.6$

Rounding up

It will take 55 years for the account value to reach 38200 dollars

5 0

3 years ago

Read 2 more answers

Match each statement in the proof with the correct reason.

Svetach [21]

Answer:

area is equal to base times height

5 0

3 years ago

Evaluate the following expression. [4 + (12 - 2) ÷ 5] ÷ 7

Anika [276]

Answer:

[4 + (12 - 2) ÷ 5] ÷ 7

[4 + 6 / 5] / 7

[10 / 5] / 7

2 / 7

= 2/7 or 0.28571428571

7 0

2 years ago

Read 2 more answers

How do I find the volume of this?

lorasvet [3.4K]

Answer:

(64+320π) cm^3

Step-by-step explanation:

The volume of a cube is the length*width*height, so

the volume of this cube is 4*4*4=64 cm^3

The volume of a cylinder is the base*height

The base of a cylinder is the area of a circle, which is π*the radius of the circle squared

The diameter of the circle base is 16, and the radius is half the diameter, so it is 16/2=8.

The area of the base of the cylinder is π8^2=64π

Now, multiply the base by the height, 5

64π*5=320πcm^3

We now have the volume of the cube and the volume of the cylinder, so now we just add them:

(64+320π) cm^3

7 0

3 years ago

Please answer this question

Y_Kistochka [10]

$\bold{\huge{\underline{ Solution }}}$

Before answering the given question, you should know the difference between polygon and regular polygon. 

Polygon :- It is closed figure constitute of straight line having different measurements and also having varies angles.
Regular polygon :- It is also a closed figure constitute of straight lines which having equal measuresment and all the angles of the given polygon are equal .

There are different types of polygon based on the sides :-

A polygon having 3 sided called triangle ,having 4 sides called quadrilateral ,having 5 sides pentagon and so on.

<h3>Let's Begin :-</h3>

I have thought to make a 4 side polygon that is quadrilateral.

Steps of construction :-

Step - 1 :- Draw a 5 cm line AB horizontally
Step - 2 :- Then , From a point B, Draw a Vertical line of 5 cm and named it BC
Step - 3 :- Then, From a point C, Draw a horizontal line of 5 cm and named it CD
Step - 4 :- Now, join the line AD
Step - 5 :- Measure all the angles form by the 4 sides of the quadrilateral.