When using three letters to name an angle, the middle letter represents the ____

ricky bobby wants to buy a new automobile for $23000 in 4 years. How much money must ricky’s original investment be if he makes

nignag [31]

$~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\$23000\\ P=\textit{original amount deposited}\\ r=rate\to 3.70\%\to \frac{3.70}{100}\dotfill &0.037\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &4 \end{cases}$

$23000=P\left(1+\frac{0.037}{12}\right)^{12\cdot 4}\implies 23000=P\left( \frac{12037}{12000} \right)^{48}\implies \cfrac{23000}{~~ \left( \frac{12037}{12000} \right)^{48}~~}=P \\\\\\ \cfrac{23000}{~~ \frac{12037^{48}}{12000^{48}}~~}=P\implies \cfrac{23000\cdot 12000^{48}}{12037^{48}}=P\implies 19840.43\approx P$

5 0

2 years ago

Multiple or divide as indicated 2x/4x+2 x 14 x+7/6

otez555 [7]

2x/4x+2 x 14 x+7/6 is unclear. Do you mean 2/4x, or do you mean 2x
-------- ??
4x+2
Use parentheses to make things clearer.

I will assume that you meant to write

2x
--------- * 14x + 7/6
4x + 2

but am very much unsure if this is correct or not.

Perhaps you meant

2x/(4x+2) times 14(x+7/6)

This comes out as follows:

2x * 14 (x + 7/6) 28x(x + 7/6) 14x(x + 7/6)
------------------------ = ------------------- = --------------------
4x+2 2(2x + 1) 2x + 1 after reduction.

Performing the multiplication, we get 14x^2 + 98/6
--------------------
2x+1


It appears that you're using "x" both as a variable name and as the "multiply" operator. If so, please don't! Use " * " to indicate multiplication.

Please take and share a screen shot of this problem.

3 0

4 years ago

Five thousand tickets are sold at $1 each for a charity raffle. Tickets are to be drawn at random and monetary prizes awarded a

Elis [28]

Answer:

The expected value of this raffle if you buy 1 ticket is $0.41.

Step-by-step explanation:

The expected value of the raffle if we buy one ticket is the sum of the prizes multiplied by each of its probabilities.

This can be written as:

$E(X)=\sum p_iX_i$