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krek1111 [17]
3 years ago
11

Elijah ate trail mix nine different times. Each X on the line plot represents an amount that he ate.

Mathematics
2 answers:
azamat3 years ago
8 0

Answer:A



Step-by-step explanation:


Alika [10]3 years ago
5 0

Answer:

D. 15/4

Step-by-step explanation:

1/4 * 5 = 5/4

1/2 * 2 = 1 = 4/4

3/4 * 2 = 6/4

Total:

5/4 + 4/4 + 6/4

= 15/4

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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
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Answer:

Can you post image of the triangle

Step-by-step explanation:

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3 years ago
The angle marked a = 79°.<br> Work out the value of x.<br><br> The diagram is not drawn accurately.
mart [117]

Answer:

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Step-by-step explanation

7 0
3 years ago
Read 2 more answers
50-10x=20 what is the value of x in this problem
Andrew [12]
So what I did was I wrote down the problem 50 - 10x = 20.

The first step I did was take 50 and subtract it from both sides: 50 - 10x = 20
                                                                                                   -50            -50
After that i cross out the so 50's and take 20 and subtract it to 50 which gave me -30. So when you write this down you rewrite it as: -10x = -30

Last step: take the -10 and divide it by both sides the cross out the two -10's cause it's going to be written as -30/-10 which would give you x = 3. So there is your answer, hope this helps. :)

~Shadow


7 0
3 years ago
A restaurant earns $1073 on Friday and $1108 on Saturday. Write and solve an equation to find the amount x (in dollars) the rest
Simora [160]

Answer:

answer is $819

Step-by-step explanation:

I did 1073+1108+x/3=1000 Let me know if this is wrong please !

7 0
3 years ago
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