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Mathematics

2 answers:

blsea [12.9K]3 years ago

5 0

Answer:

50 lbs.

Step-by-step explanation:

kolezko [41]3 years ago

3 0

Answer:

45.65

Step-by-step explanation:

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Gina puts $ 4500 into an account earning 7.5% interest compounded continuously. How long will it take for the amount in the acco

Elza [17]

$~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$5150\\ P=\textit{original amount deposited}\dotfill & \$4500\\ r=rate\to 7.5\%\to \frac{7.5}{100}\dotfill &0.075\\ t=years \end{cases}$

$5150=4500e^{0.075\cdot t} \implies \cfrac{5150}{4500}=e^{0.075t}\implies \cfrac{103}{90}=e^{0.075t} \\\\\\ \log_e\left( \cfrac{103}{90} \right)=\log_e(e^{0.075t})\implies \log_e\left( \cfrac{103}{90} \right)=0.075t \\\\\\ \ln\left( \cfrac{103}{90} \right)=0.075t\implies \cfrac{\ln\left( \frac{103}{90} \right)}{0.075}=t\implies\stackrel{\textit{about 1 year and 291 days}}{ 1.8\approx t}$

4 0

1 year ago

Cual es la respuesta de 7+105-8245+/894216

leonid [27]

Puede tomar una gota mejor para enter

4 0

3 years ago

What is the answer (6-1+7) =

sdas [7]

Answer:

Step-by-step explanation:

You do what's in parentheses first, but everything is in parentheses so it's pretty much ineffective. In PEMDAS, addition and subtraction are coupled so you do them left to right. 6-1 is 5 and 5+7 is 12.

4 0

3 years ago

Read 2 more answers

The highway fuel economy of a 2016 Lexus RX 350 FWD 6-cylinder 3.5-L automatic 5-speed using premium fuel is a normally distribu

Elodia [21]

Answer:

a) Standard error = 0.5

b) 99% Confidence interval: (19.2125,21.7875)

Step-by-step explanation:

We are given the following in the question:

Population mean = 20.50 mpg

Sample standard deviation = 3.00 mpg