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Ilia_Sergeevich [38]
3 years ago
10

What is the formula for finding the final balance of an account that earns interest compounded annually? State what each variabl

e in the formula represents.
Mathematics
1 answer:
Schach [20]3 years ago
5 0
C=P[(1+r)^n-1]
C = COMPOUND INTEREST
P = PRINCIPAL 
r = rate per period
n = number of periods
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Choose the correct answer in each number.
4vir4ik [10]

Answer:

A

B

A

C

D

C

A

B

B

D

Step-by-step explanation:

7 0
2 years ago
Rewrite the Cartesian equation y=-3 as a polar equation.
andreev551 [17]

r

sin

θ

=

−

3

Explanation:

Imagine we have a point  

P

with Rectangular (also called Cartesian) coordinates  

(

x

,

y

)

and Polar coordinates  

(

r

,

θ

)

.

The following diagram will help us visualise the situation better:

https://keisan.casio.com/exec/system/1223526375

https://keisan.casio.com/exec/system/1223526375

We can see that a right triangle is formed with sides  

x

,  

y

and  

r

, as well as an angle  

θ

.

We have to find the relation between the Cartesian and Polar coordinates, respectively.

By Pythagora's theorem, we get the result

r

2

=

x

2

+

y

2

The only properties we can say about  

θ

are its trigonometric functions:

sin

θ

=

y

/

r

⇒

y

=

r

sin

θ

cos

θ

=

x

/

r

⇒

x

=

r

cos

θ

So we have the following relations:

⎧

⎪

⎨

⎪

⎩

r

2

=

x

2

+

y

2

y

=

r

sin

θ

x

=

r

cos

θ

Now, we can see that saying  

y

=

−

3

in the Rectangular system is equivalent to say

r

sin

θ

=

−

3

Answer link

Jim G.

May 19, 2018

r

=

−

3

sin

θ

Explanation:

to convert from  

cartesian to polar

∙

x

x

=

r

cos

θ

and  

y

=

r

sin

θ

⇒

r

sin

θ

=

−

3

⇒

r

=

−

3

sin

θ

4 0
2 years ago
Solve the equation and enter the value of x below.<br> x + 29 = 49<br> X =
andrew-mc [135]

Answer:

x = 20

Step-by-step explanation:

x + 29 = 49

- 29       - 29

x=20

5 0
2 years ago
Yesterday, James sold $29 worth of cookies and chocolate at his store. He sells cookies for $5 a box, and chocolate for $2 a bar
MAXImum [283]

Answer:

he sold 4 boxes of cookies and 3 chocolate bars

Step-by-step explanation:

5+5+5+5 = 20  3+3+3 = 9 so add 20+9 = 29

8 0
3 years ago
PLEASE HELP DUE IN 1 HOUR
kobusy [5.1K]
Choosing blue or red: 3 blue + 4 red = 7 marbles
3 blue + 2 green + 4 red + 1 yellow = 10 marbles

Probability blue or red marble: 7/10

Choosing a marble that isn't blue or red: 2 green + 1 yellow = 3 marbles
Total marbles: 3 blue + 2 green + 4 red + 1 yellow = 10 marbles

Probability non-blue or red marble: 3/10
5 0
3 years ago
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