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alexandr402 [8]
3 years ago
12

The plot shown below describes the relationship between student scores on the first exam in a class and their corresponding scor

es on the second exam in the class. Which of the following is the best estimate of the average change in the score on exam two associated with point increase in the score on exam 1
Mathematics
1 answer:
STALIN [3.7K]3 years ago
7 0

Answer:

you average the scores by adding scores from exam 1 and exam 2 then divide it by 2 to average the exam scores

Step-by-step explanation:

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A forest covers 66,000 acres. A survey finds that 0.2% of the forest is old-growth trees. How many acres of old-growth trees are
marshall27 [118]

Answer:

132

Step-by-step explanation:

easy  66,000 * .002

6 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
The diameter of Mercury is approximately 4.9×103 kilometers. The diameter of Earth is approximately 1.3×104 kilometers. About ho
-Dominant- [34]
Hi there!

To get the answer to this question, let's divide the diameter of the Earth by the diameter of Mercury.

\frac{1.3*10^4}{4.9*10^3}

We can change this to

\frac{1.3}{4.9}*\frac{10^4}{10^3}

Let's solve for each individual fraction

\frac{1.3}{4.9} ≈ 0.27

\frac{10^4}{10^3} = 10

Now, multiply.

0.27 * 10 = 2.7

That's your answer.

Have an awesome day/night! :)

~collinjun0827, Junior Moderator
5 0
3 years ago
I can understand the meaning (passive)<br>​
iVinArrow [24]

Answer:

i know it bro

Step-by-step explanation:

The meaning is being understood by me.

brainliest

7 0
2 years ago
Read 2 more answers
Please help me with this question
dmitriy555 [2]

if any doubt leave a comment

3 0
2 years ago
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