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Sergio039 [100]
3 years ago
13

Kelly travels 450 miles for work every 3 weeks. How many miles does she travel each week?​

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
3 0

Answer:1350

Step-by-step explanation: multiply 450x3

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The total commission, in dollars, Jessie earned on selling cars at a dealership in two weeks is given by the expression 800+400x
Minchanka [31]

Answer: B. Jessie sold 2 cars in the first week and x number of cars in the second week, earning a commission of $400 on each car.

Step-by-step explanation:

The options include:

A. Jessie earned a total commission of $800 in the first week and x dollars in the second week.

B. Jessie sold 2 cars in the first week and x number of cars in the second week, earning a commission of $400 on each car.

C. Jessie sold 1 car in the first week, earning $800, and x number of cars in the second week, earning a total commission of $1,200.

D. Jessie earned a commission of $800 on each car in the first week and $400 on each car in the second week, selling x number of cars each week.

The situation that could be described by this expression will be option B "Jessie sold 2 cars in the first week and x number of cars in the second week, earning a commission of $400 on each car". This will be:

= (400 × 2) + 400(x)

= 800 + 400x

7 0
3 years ago
For the following amount at the given interest rate compounded​ continuously, find​ (a) the future value after 9 ​years, (b) the
Stella [2.4K]

Answer:

(a) The future value after 9 ​years is $7142.49.

(b) The effective rate is r_E=4.759 \:{\%}.

(c) The time to reach ​$13,000 is 21.88 years.

Step-by-step explanation:

The definition of Continuous Compounding is

If a deposit of P dollars is invested at a rate of interest r compounded continuously for t years, the compound amount is

A=Pe^{rt}

(a) From the information given

P=4700

r=4.65\%=\frac{4.65}{100} =0.0465

t=9 \:years

Applying the above formula we get that

A=4700e^{0.0465\cdot 9}\\A=7142.49

The future value after 9 ​years is $7142.49.

(b) The effective rate is given by

r_E=e^r-1

Therefore,

r_E=e^{0.0465}-1=0.04759\\r_E=4.759 \:{\%}

(c) To find the time to reach ​$13,000, we must solve the equation

13000=4700e^{0.0465\cdot t}

4700e^{0.0465t}=13000\\\\\frac{4700e^{0.0465t}}{4700}=\frac{13000}{4700}\\\\e^{0.0465t}=\frac{130}{47}\\\\\ln \left(e^{0.0465t}\right)=\ln \left(\frac{130}{47}\right)\\\\0.0465t\ln \left(e\right)=\ln \left(\frac{130}{47}\right)\\\\0.0465t=\ln \left(\frac{130}{47}\right)\\\\t=\frac{\ln \left(\frac{130}{47}\right)}{0.0465}\approx21.88

3 0
3 years ago
Use Stokes' Theorem to evaluate S curl F · dS. F(x, y, z) = x2z2i + y2z2j + xyzk, S is the part of the paraboloid z = x2 + y2 th
worty [1.4K]

Answer:

0

Step-by-step explanation:

CHECK ATTACHMENT

Download docx
7 0
4 years ago
Show the tens fact you used. Write the difference.<br> 12-7=<br> 10- _=
Maksim231197 [3]

12-7=5

10-5=5


is that what you where looking for?

5 0
3 years ago
Sierra is growing tomato plants. She wants to grow the plants to be at least 48 inches tall. Which situation is represented by t
Len [333]
The first one is the correct answer due to 4 is the initial height of the plaint and 0.75 are inches that being added every week
6 0
4 years ago
Read 2 more answers
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