What is the GCF of 48 and 16?

Find how long it takes a $ 900.00 investment to earn $ 120.00 in interest if it is invested at 6% compounded annually.

atroni [7]

So, we know the earned interest is 120, and we know the original deposited amount is 900 bucks, so, the accumulated amount will then be 900 + 120 or 1020 bucks.

$\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\to &\$1020\\
P=\textit{original amount deposited}\to &\$900\\
r=rate\to 6\%\to \frac{6}{100}\to &0.06\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years
\end{cases}$

$\bf 1020=900\left(1+\frac{0.06}{1}\right)^{1\cdot t}\implies \cfrac{1020}{900}=(1.06)^t\implies \cfrac{102}{90}=(1.06)^t
\\\\\\
log\left(\frac{102}{90} \right)=log(1.06^t)\implies log\left(\frac{102}{90} \right)=t\cdot log(1.06)
\\\\\\
\cfrac{log\left(\frac{102}{90} \right)}{log(1.06)}=t\implies 20.92 \approx t$

7 0

4 years ago

Suppose you have a 1/10 chance of winning with a scratch-off lottery ticket. If you buy 4 tickets, what is the probability of wi

xz_007 [3.2K]

1/10 chance on winning with 1 ticket...so winning with 4 tickets =
1/10 * 1/10 * 1/10 * 1/10 = 1/(10^4) = 1/10,000

4 0

4 years ago

Read 2 more answers

What is the volume of a cube with sides of length 9m?

nata0808 [166]

Answer:

V = 729 m³

General Formulas and Concepts:

Pre-Algebra

Evaluation

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Geometry

Volume of a Cube Formula: V = s³

V is volume (in units³)
s is a side length

Step-by-step explanation:

Step 1: Define

Identify variables.

s = 9 m

Step 2: Find Volume

Substitute in variables [Volume of a Cube Formula]: V = (9 m)³
[Order of Operations] Evaluate: V = 729 m³

6 0

2 years ago

Basit played and online Pin Ball game the first time we got our score of 25000 point then he is called 125000 point and third ti

Marianna [84]

Answer:

Average score per game = 60,000 per game

Step-by-step explanation:

Given:

Points scored in first game = 25,000

Points scored in second game = 125,000

Points scored in third game = 30,000

Find:

Average score per game

Computation:

Average = Sum of observation / Number of observation

So,

Sum of all game = 25,000 + 125,000 + 30,000

Sum of all game = 180,000

Number of games = 3

Average score per game = 180,000 / 3

Average score per game = 60,000 per game

8 0

3 years ago

Which equation represents a line that is a perpendicular bisector to the line joining the points A(3,-4) and B( 5 , -2)?

liq [111]

Answer is third......

3 0

3 years ago