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2 years ago

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Mathematics

1 answer:

aniked [119]2 years ago

5 0

Answer:

39.3%

Step-by-step explanation:

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You deposit $7550 in an account that pays 7.25% interest, compounded continuously. How long to the

Afina-wow [57]

$~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$\stackrel{tripled}{(7550)3}\\ P=\textit{original amount deposited}\dotfill & \$7550\\ r=rate\to 7.25\%\to \frac{7.25}{100}\dotfill &0.0725\\ t=years \end{cases}$

$3(7550)=7550e^{0.0725\cdot t}\implies \cfrac{3(7550)}{7550}=e^{0.0725t}\implies 3=e^{0.0725t} \\\\\\ \log_e(3)=\log_e\left( e^{0.0725t} \right)\implies \ln(3)=0.0725t \\\\\\ \cfrac{\ln(3)}{0.0725}=t\implies 15.15327\approx t\implies 15\approx t$

7 0

2 years ago

Blank - 2 1/3 = 3 1/3 please help I need to finish my homework :(

mafiozo [28]

The answer is 3 1/3 + 2 1/3 = 5 2/3

7 0

2 years ago

Read 2 more answers

A 48 fluid ounce container orange juice cost $2.40. 60 fluid ounce container of orange juice cost $3.60. Which is the better buy

Allushta [10]

48 fluid ounce it is $0.40 per fl oz, while the other one is $0.60 per fl oz

4 0

3 years ago

A factory produce bicycles at a rate of 110+0.5t^2-0.9t bicycles per week (t in weeks)

klasskru [66]

Answer:

221

Step-by-step explanation:

Day 8 is the first day of the second week.

Day 21 is the last day of week 3.

We need to know the n umber of bicycles made from t = 1 to t = 3

The function is b(t) = 110 + 0.5t^2 - 0.9t, where t is in weeks.

We need to integrate the function with the limits of 1 to 3.

$\int_{1}^{3} (110 + 0.5t^2 - 0.9t) dt$

$\int_{1}^{3} (110 + \dfrac{t^2}{2} - \dfrac{9t}{10}) dt$

$= 110t + \dfrac{t^3}{6} - \dfrac{9t^2}{20} \Biggr|_{1}^{3}$

$= 330.45 - 109.72$

$= 220.7333$

Answer: 221

3 0

2 years ago

What is 1 5/8 divided by 5 1/7

weeeeeb [17]

Answer: 91/288

Step-by-step explanation: To divide mixed numbers, first write the mixed numbers as improper fractions.

We can do this by multiplying the denominator by the whole number and then adding the numerator. Then, we put our new numerator over our old denominator.

So here, we can write 1 and 5/8 as the improper fraction 13/8 and we can write 5 and 1/7 as the improper fraction 36/7.

So here, we have 13/8 ÷ 36/7.

Dividing by a fraction is the same as multiplying by the reciprocal of that fraction.

So here, 13/8 ÷ 36/7 is the same as 13/8 × 7/36.

So now we are simply multiplying fractions and we do this by multiplying across the numerators and multiply across the denominators.

$\frac{13}{8} x \frac{7}{36} = \frac{91}{288}$

So now we have 91/288 which is in lowest terms.

This means that 1 and 5/8 divided by 5 and 1/7 is 91/288.

7 0

2 years ago