Ask question

Ask question

All categories

Juliette [100K]

3 years ago

10

$6000 is invested in an account that earns 4.5% annual interest, compounded continuously. What is the value of the account after

8 years.

1 answer:

mario62 [17]3 years ago

8 0

Answer:

Convert 4.5% to a decimal. 6000,0.045, 8 years

Step-by-step explanation:

I used math--way

You might be interested in

Polygon CCC has an area of 404040 square units. K 2ennan drew a scaled version of Polygon CCC using a scale factor of \dfrac12 1

nikdorinn [45]

Answer:

<em>Area of polygon D = 10 square units</em>

Step-by-step explanation:

<u>Given:</u>

Polygon <em>C </em>has an area of 40 square units.

It is scaled with a scale factor of $\frac{1}2$ to form a new polygon D.

<u></u>

<u>To find:</u>

The area of polygon D = ?

<u>Solution:</u>

When any polygon is scaled to half, then all the sides of new polygon are half of the original polygon.

And the area becomes one-fourth of the original polygon.

Let us consider this by taking examples:

First of all, let us consider a right angled triangle with sides <em>6, 8 and 10 units.</em>

Area of a right angled triangle is given by:

$A = \dfrac{1}{2} \times Base \times Height\\\Rightarrow A = \dfrac{1}{2} \times 6 \times 8 = 24\ sq\ units$

If scaled with a factor $\frac{1}{2}$ , the sides will be 3, 4 and 5.

New area, A':

$A' =\dfrac{1}{2} \times 3 \times 4 = 6\ sq\ units = \dfrac{1}4\times A$

i.e. Area becomes one fourth.

Let us consider a rectangle now.

Sides be 8 and 10 units.

Area of a rectangle, A = $Length \times Width$ = 8 $\times$ 10 = 80 sq units.

Now after scaling, the sides will be 4 and 5 units.

New Area, A' = 4 $\times$ 5 =20 sq units

So, $\bold{A' = \frac{1}4 \times A}$

Now, we can apply the same in the given question.

$\therefore$ Area of polygon D = $\bold{\frac{1}{4}}$ $\times$ Area of polygon C

Area of polygon D = $\bold{\frac{1}{4}}$ $\times$ 40 = <em>10 sq units</em>

4 0

3 years ago

U will be made brainiest if this answer is right

Daniel [21]

Answer:

x= -7

Step by Step Explanation:

We can write them both like functions like this

A= 5x- 4

B= 3x+ 8

The output of A will be three times the output of B

A=3b

We replace with the functions

5x-4= 3

We solve for x

5x= -4= 9x + 24

5x- 9x= 24 + 4

-4x= 28

x= 28 - 4

x= -7

The output that makes the out put of A 3 times the output of B is -7

Hope it helped

4 0

3 years ago

In the number 5,678.321 what is the value of the 1? *

Marysya12 [62]

Answer:

a 1 thousandth or 0.001

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

ALMOST THERE PLS 3 more

olasank [31]

165 pounds —> 60grams of proteins
220 pounds —>80 grams of proteins
Todd needs 80 grams of proteins each day
Thanks me if it is correct !!!

8 0

2 years ago

Solve for x in the following angle relationship. Please also identify the type of angles given:

Nuetrik [128]

9514 1404 393

Answer:

x= 10, corresponding

Step-by-step explanation:

Corresponding angles are in the same direction from their respective intersections. Here, the angles are both northwest of the point where the lines cross. The angles are corresponding.

__

Corresponding angles are congruent, so we have ...

10x +10 = 110

10x = 100 . . . . . subtract 10

x = 10 . . . . . . . . divide by 10

6 0

3 years ago