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3 years ago

Is it a function or not a function

Mathematics

1 answer:

BigorU [14]3 years ago

6 0

Answer:

This is NOT a function. Because if you used the vertical line test it would hit that line 2 times.

Step-by-step explanation:

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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

!!!HELP MEEEE!!! ILL GIVE U BRAINLIEST

Elza [17]

Answer:

7+(-3)[(14-4)/(-5)]+7

7+3[2]+7

7+6+7

8 0

3 years ago

A rectangular plot of grounds is 10 meters longer than it is wide. It’s area is 10,000 square meters. Which equation will help y

mote1985 [20]

Answer:

i'll say the second one

Step-by-step explanation:

8 0

3 years ago

Erin wants to raise her math grade to a 95 to improve her chances of winning a math

MissTica

Answer:

Step-by-step explanation:

Yes because to raise her score she would have to add 81 increased by 15% to reach her goal . So you should agree with her . If you dont understand how i got the answer plz let me know so i can explain it better.

Anyway hope this helps!

6 0

3 years ago

A line has a slope of

ahrayia [7]

a) What is the slope of the line parallel to it?

Parallel lines will never intersect, meaning they have equivalent slopes, so the answer to this part is -(6/5).

b) What is the slope of the line perpendicular to it?

Perpendicular lines will intersect, creating a 90-degree angle, meaning all values in the graphs have been flipped. Thus, the slope of any perpendicular line is the negative reciprocal of the given slope (-1/x). The negative reciprocal of -(6/5) is 5/6, so that is the answer.

8 0

1 year ago