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Rama09 [41]
3 years ago
5

1/2 w +2;w=1/9 Help

Mathematics
1 answer:
diamong [38]3 years ago
5 0

Answer:

2 1/18

Step-by-step explanation:

ok substitute w with 1/9

so the equation is now

1/2*1/9+2

Do multiplication first so,

1/2*1/9= 1/18

Now the equation should be

1/18+2

Finish it off by adding

1/18+2= 2 1/18

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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
Translate to an algebraic expression.<br> 29 more than n
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Answer: n+29
20 letters…
6 0
3 years ago
Describe the end behavior of a 14th degree polynomial with a positive leading coefficient.
DiKsa [7]

<u><em>Answer:</em></u>

1)

f(x)→ ∞ when x→∞ or x→ -∞.

2)

when  x→ ∞ then f(x)→ -∞

        and when x→ -∞ then f(x)→ ∞

<u><em>Step-by-step explanation:</em></u>

<em>" The </em><em>end behavior</em><em> of a polynomial function is the behavior of the graph of as approaches positive infinity or negative infinity. The degree and the leading coefficient of a polynomial function determine the end behavior of the graph "</em>

1)

a 14th degree polynomial with a positive leading coefficient.

Let f(x) be the polynomial function.

Since the degree is an even number and also the leading coefficient is positive so when we put negative or positive infinity to the function i.e. we put x→∞ or x→ -∞ ; it will always lead the function to positive infinity

i.e. f(x)→ ∞ when x→∞ or x→ -∞.

2)

a 9th degree polynomial with a negative leading coefficient.

As the degree of the polynomial is odd and also the leading coefficient is negative.

Hence when x→ ∞ then f(x)→ -∞ since the odd power of x will take it to positive infinity but the negative sign of the leading coefficient will take it to negative infinity.

When x→ -∞ then f(x)→ ∞; since the odd power of x will take it to negative infinity but the negative sign of the leading coefficient will take it to positive infinity.

Hence, when  x→ ∞ then f(x)→ -∞

        and when x→ -∞ then f(x)→ ∞



8 0
3 years ago
Could yall please help me on thissss onee
Elan Coil [88]

Answer:

The first anwser is c

Step-by-step explanation

3 0
3 years ago
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