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bagirrra123 [75]
3 years ago
15

aiden currently has a balance of $4443.48 in an account he has held for 17 years he open the account with initial deposit of $25

67 what is the simple interest rate on the account
Mathematics
1 answer:
pickupchik [31]3 years ago
5 0
\bf \qquad \textit{Simple Interest Earned Amount}\\\\
A=P(1+rt)\qquad 
\begin{cases}
A=\textit{accumulated amount}\to &\$4443.48\\
P=\textit{original amount deposited}\to& \$2567\\
r=rate\to r\%\to \frac{r}{100}\\
t=years\to &17
\end{cases}
\\\\\\
4443.48=2567(1+r17)\implies \cfrac{4443.48}{2567}=1+17r
\\\\\\
\cfrac{4443.48}{2567}-1=17r\implies \cfrac{\frac{4443.48}{2567}-1}{17}=r\implies 0.043\approx r
\\\\\\
0.043\approx\cfrac{r}{100}\implies 0.043\cdot 100\approx r\implies 4.3\%\approx r
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In the New York State daily lottery game, a sequence of 4 (not necessarily different) digits in the range of 0-9 is selected at
devlian [24]

Answer:

50.40% probability that all 4 are different.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Desired outcomes:

4 digits, all different

For the first digit, it can be any of them, so there are 10 possible

For the second digit, it can be any of them other than the first digit. So there are 9 possible.

For the third digit, it can be any of them, other than the first and the second. So there are 8 possible.

By the same logic, 7 possible digits for the fourth. So

D = 10*9*8*7 = 5040

Total outcomes:

4 digits, each can be any of them(10 from 0 - 9).

So

T = 10*10*10*10 = 10000

Probability:

p = \frac{D}{T} = \frac{5040}{10000} = 0.5040

50.40% probability that all 4 are different.

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3 years ago
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What is the solution to the inequality 2 + 5x > 12?
Alexxx [7]
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6 0
3 years ago
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Solve for x write the exact answer using either base -10 or base-e logarithms
jeka57 [31]

<u>Given</u>:

The given expression is 2^{x+5}=13^{2 x}

We need to determine the value of x using either base - 10 or base - e logarithms.

<u>Value of x:</u>

Let us determine the value of x using the base - e logarithms.

Applying the log rule that if f(x)=g(x) then \ln (f(x))=\ln (g(x))

Thus, we get;

\ln \left(2^{x+5}\right)=\ln \left(13^{2 x}\right)

Applying the log rule, \log _{a}\left(x^{b}\right)=b \cdot \log _{a}(x), we get;

(x+5) \ln (2)=2 x \ln (13)

Expanding, we get;

x \ln (2)+5 \ln (2)=2 x \ln (13)

Subtracting both sides by 5 \ln (2), we get;

x \ln (2)=2 x \ln (13)-5 \ln (2)

Subtracting both sides by 2 x \ln (13), we get;

x \ln (2)-2 x \ln (13)=-5 \ln (2)

Taking out the common term x, we have;

x( \ln (2)-2 \ln (13))=-5 \ln (2)

                          x=\frac{-5 \ln (2)}{\ln (2)-2 \ln (13)}

                          x=\frac{5 \ln (2)}{2 \ln (13)-\ln (2)}

Thus, the value of x is x=\frac{5 \ln (2)}{2 \ln (13)-\ln (2)}

6 0
3 years ago
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