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KATRIN_1 [288]
3 years ago
7

A taxi driver determines the fare using the formula F=1.50+2.6m, where F is the total fare and m id the numbet a miles driven. W

hst is the fare for a taxi ride that is 3.5miles long?
Mathematics
1 answer:
Lady bird [3.3K]3 years ago
3 0
Just do 1.50 + 2.6(3.5)


The answer is $10.60
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Need help fast.
Lisa [10]

w represents width

4w represents length

d represents diagonal

w2 + (4w)2 = d2

w2 + 16w2 = d2

17w2 = d2

±w√17 = d

 

The diagonal is the width times √17.

4 0
3 years ago
3. You want to have $4000 in your savings account after 2 years. Find the amount you should deposit for each of the situations d
pychu [463]

Answer:

Part A)

About $3767.34.

Part B)

About $3692.47.

Step-by-step explanation:

Part A)

Recall that compound interest is given by the formula:
\displaystyle A = P\left(1+\frac{r}{n}\right)^{nt}

Where <em>A</em> is the final amount, <em>P</em> is the initial amount, <em>r</em> is the interest rate, <em>n</em> is the number of times compounded per year, and <em>t</em> is the number of years.

To obtain $4000 after two years, let <em>A</em> = 4000 and<em> t</em> = 2.

Because the account pays 3% interest compounded monthly, <em>r</em> = 0.03 and <em>n</em> = 12.

Substitute and solve for <em>P: </em>

<em />\displaystyle \begin{aligned} (4000) & = P\left(1+\frac{(0.03)}{(12)}\right)^{(12)(2)} \\ \\ P & = \frac{4000}{\left(1+\dfrac{(0.03)}{(12)}\right)^{(12)(2)}} \\ \\ & \approx \$3767.34\end{aligned}

In concluion, about $3767.34 should be deposited.

Part B)

Recall the formula for continuous compound:

\displaystyle A = Pe^{rt}

Where <em>e</em> is Euler's number.

Hence, let <em>A</em> = 4000, <em>r</em> = 0.04 and <em>t</em> = 2. Substitute and solve for <em>P: </em>

<em />\displaystyle \begin{aligned}(4000) & = Pe^{(0.04)(2)} \\ \\ P & = \frac{4000}{e^{(0.02)(4)}} \\ \\ & \approx \$3692.47 \end{aligned}

In conclusion, about $3692.47 should be deposited.

8 0
2 years ago
Un motor de 90 kW se utiliza para elevar una carga de 1 200 kg. ¿Cuál es la velocidad media durante el ascenso?
Llana [10]
Sheesh this lookin hard

8 0
2 years ago
A wooden artifact from an ancient tomb contains 70% of the carbon-14 that is present in living trees. How long ago was the artif
noname [10]
So the question ask to determine how long that the wooden artifact found in an ancient tombs and contains 70% of the carbon-14 was made, and base on the fact and the given data about the said artifact, the possible answer would be that the the artifact is 2948 years old. I hope you are satisfied with my answer 
3 0
3 years ago
The volume of a rectangular prism is 2,058 cm squared 3. The length of the prism is three times the width. The height is 14cm. F
Alborosie

Answer:

length is 21 cm

breadth is 7 cm

3 0
3 years ago
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