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Whitepunk [10]
3 years ago
12

If you invest $8,600 at a 3 95% simple annual interest rate, approximately how long will it take for you to have a toad of $21,0

00?
Mathematics
1 answer:
Mariana [72]3 years ago
5 0

Answer:

37 years.

Step-by-step explanation:

Interest = PRT/100  where P = Initial Amount, R = rate, T = the time.

So we have the equation:-

8600 + 8600*3.95 * T / 100 = 21000

8600 + 33970T / 100 = 21,000

8600 + 339.7T  = 21000

339.7T = 21000 - 8600

T =  (21000 - 8600) / 339.7

T =  36.5 years



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Oxana [17]

Answer:

\large\boxed{(f-g)(x)==3x^5-2x^4-x^2+x-21}

Step-by-step explanation:

(f-g)(x)=f(x)-g(x)\\\\\text{We have}\\\\f(x)=3x^5+6x^2-5\\\\g(x)=2x^4+7x^2-x+16\\\\\text{substitute:}\\\\(f-g)(x)=(3x^5+6x^2-5)-(2x^4+7x^2-x+16)\\\\=3x^5+6x^2-5-2x^4-7x^2+x-16\\\\\text{combine like terms}\\\\=3x^5-2x^4+(6x^2-7x^2)+x+(-5-16)\\\\=3x^5-2x^4-x^2+x-21

6 0
3 years ago
Need help pls<br>thank you in advance ​
ira [324]

Answer:

<h3><u>Mean</u></h3>

<u />

\textsf{Mean}\:\overline{X}=\sf \dfrac{\textsf{sum of all the data values}}{\textsf{total number of data values}}

\implies \sf Mean\:(Nilo)=\dfrac{5+6+14+15}{4}=\dfrac{40}{4}=10

\implies \sf Mean\:(Lisa)=\dfrac{8+9+11+12}{4}=\dfrac{40}{4}=10

<h3><u>Standard Deviation</u></h3>

\displaystyle \textsf{Standard Deviation }s=\sqrt{\dfrac{\sum X^2-\dfrac{(\sum X)^2}{n}}{n-1}}

\begin{aligned}\displaystyle \textsf{Standard Deviation (Nilo)} & =\sqrt{\dfrac{(5^2+6^2+14^2+15^2)-\dfrac{(5+6+14+15)^2}{4}}{4-1}}\\\\& = \sqrt{\dfrac{482-\dfrac{40^2}{4}}{3}}\\\\& = \sqrt{\dfrac{82}{3}}\\\\& = 5.23\end{aligned}

\begin{aligned}\displaystyle \textsf{Standard Deviation (Lisa)} & =\sqrt{\dfrac{(8^2+9^2+11^2+12^2)-\dfrac{(8+9+11+12)^2}{4}}{4-1}}\\\\& = \sqrt{\dfrac{410-\dfrac{40^2}{4}}{3}}\\\\& = \sqrt{\dfrac{10}{3}}\\\\& = 1.83\end{aligned}

<h3><u>Summary</u></h3>

Nilo has a mean score of 10 and a standard deviation of 5.23.

Lisa has a mean score of 10 and a standard deviation of 1.83.

The <u>mean</u> scores are the <u>same</u>.

Nilo's standard deviation is higher than Lisa's.  Therefore, Nilo's test scores are more <u>spread out</u> that Lisa's, which means Lisa's test scores are more <u>consistent</u>.

5 0
2 years ago
Use the distributive property to write the following expressions in expanded form.
Dmitry_Shevchenko [17]

Answer:

Step-by-step explanation:

a. 4x+4y

b. 8a+24b

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e. 3ac+bc

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3 years ago
PLEASE HELP FAST!!! How many solutions does this system have?
Aneli [31]

Step-by-step explanation:

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-4x+3x-20=-20

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x=0

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find the difference between the simple interest and compound interest on 2500 for 2 years at 4% per annum , compound interest be
EastWind [94]

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Principal (P)= $2,500

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Number of periods= 2 years

<u>First, we will determine the interest earned using the simple interest formula:</u>

I= P*r*t

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<u>Now, using the compound interest formula:</u>

I= [P*(1 + r)^t] - P

r= 0.04/2= 0.02 (semi annual interest rate)

t=2*2= 4 semesters

I= [2,500*(1.02^4)] - 2,500

I= $206.08

6 0
3 years ago
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