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3 years ago

When a principal amount, P, is invested at an annual interest rate,r, and compounded n times per

Mathematics

2 answers:

romanna [79]3 years ago

8 0

Answer:

Step-by-step explanation:

A = P( 1+r/n) ^ (nt)

P is the amount invested

r is the rate

n is the number of times per year the interest is compounded

t is the number of years

every 6 months is twice a year

so n is 2

wlad13 [49]3 years ago

6 0

Answer:

Step-by-step explanation:

10+50+60=500

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Find the coordinates of the point P at an angle of 45 degrees on a circle of radius 4.5. Round your answer to 3 decimal places.

Varvara68 [4.7K]

$\bf sin(\theta)=\cfrac{y}{r}
\qquad 

% cosine
cos(\theta)=\cfrac{x}{r}\quad 
\begin{cases}
r=radius=hypotenuse\\
x=adjacent\\
y=opposite\\
\theta=angle
\end{cases}\\
-----------------------------\\
thus
\\\\

\begin{cases}
r=4.5\\
\theta=45^o
\end{cases}\implies 
\begin{cases}
sin(\theta)=\cfrac{y}{r}\to sin(45^o)=\cfrac{y}{4.5}\to 4.5\cdot sin(45^o)=y
\\\\
cos(\theta)=\cfrac{x}{r}\to cos(45^o)=\cfrac{x}{4.5}\to 4.5\cdot cos(45^o)=x
\end{cases}
\\\\
P\ is \ at\quad (x,y)$

the angle is in degrees, thus, when taking either sine or cosine, make sure your calculator is in Degree mode

7 0

4 years ago

Which of the following ordered pairs represents the solution to the system given below? (4 points)

marta [7]

Answer:

(10, 0)

Step-by-step explanation:

(10, 0) satisfies both of the system equations: 2(10) + 0 = 20 and 4(10) - 0 = 40.

(0, 10) does not.

(4, 2) does not.

(10, -10) does not.

6 0

4 years ago

Read 2 more answers

6+ 3x = 15 with work!

kherson [118]

Answer:

X=3

Step-by-step explanation:

Rearrange terms

6+3=15

3+6=15

Subtract from both sides of the equation

3+6=15

3+6−6=15−6

Simplify

Subtract the numbers

3=9

x=3

5 0

3 years ago

Read 2 more answers

Compare the quantity in column A with the quantity in column B. Choose the best answer.

Elena L [17]

<DOC = <AOB
= 91 degrees

<AOD = 180 - <AOB
= 180 - 91
= 89

Column A Column B
<AOD <DOC
89 91

5 0

3 years ago

Explain how to use partial quotients to divide 235 by 5

katrin [286]

Eso nos da igual a 47

4 0

3 years ago