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Diano4ka-milaya [45]
3 years ago
8

Please show me how you got the answer thanks in advance:) please someone help me !!!

Mathematics
1 answer:
Vinil7 [7]3 years ago
3 0
If we first identify our variables, x will be the larger number and y will be the smaller number. We can now identify our equations. 
x=1000+2y
x-y=9000

I now have a system of equations, so I can solve for x and y.

1000+2y-y=9000
y=8000
x-8000=9000
x=17000
The larger number is 17000 and the smaller number is 8000.
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Otto invests $1,000 at age 20. Otto wants theinvestment to be worth $4,000 by age 30. Ifinterest is compounded continuously, wha
AveGali [126]
r\approx0.139

1) Since this is a Continuously Compounded operation in a 10 yrs period, then we can write out the following equation:

\begin{gathered} A=Pe^{rt} \\  \end{gathered}

2) Plugging into the equation the given data and since Otto is 20 yrs old and he plans to get $4,000 in ten years, we can write out:

\begin{gathered} 4000=1000e^{\mleft\{10r\mright\}} \\ \frac{4000}{1000}=\frac{1000e^{10r}}{1000} \\ 4=e^{10r} \\ \ln (4)=\ln (e)^{10r} \\ 10r=\ln (4) \\ r=\frac{\ln (4)}{10} \\ r=0.1386 \end{gathered}

3) Thus the rate Otto needs is

r=0.1386\approx0.139

Note that since the 0.1386 the six here is greater than 5 then we can round up to the next thousandth, in this case: 0.139. For the 0.1386 is closer to 0.139 (0.004) than to 0.138 (0.006).

Or 13.9%

8 0
1 year ago
What number can be add to <br><img src="https://tex.z-dn.net/?f=%20%7B9x%7D%5E%7B2%7D%20%20%2B%2024x" id="TexFormula1" title=" {
4vir4ik [10]

The required number will be 16

the expression will be like :

  • 9 {x}^{2}  + 24x + 16

  • (3x) {}^{2}  + (2 \times 3x \times 4) + (4) {}^{2}

  • (3x + 4) {}^{2}

hope it helps you cap !!

Anti - Venom

5 0
3 years ago
The burges are moving across the country .Mr burges leaves 3 hours before mrs.burges. If he averages 50 mph and she averages 70
kirill [66]

10.5 hours

let t be time then distance travelled by both is

Mr Burges ⇔ d = 50t ( distance = speed × time )

Mrs Burges ⇒ d = 70(t - 3)

At the point of overtaking both will have travelled the same distance

equating their distance and solving for t

70(t - 3) = 50t

70t - 210 = 50t ( subtract 50t from both sides )

20t - 210 = 0 ( add 210 to both sides )

20t = 210 ( divide both sides by 20 )

t = 10.5 hours


4 0
3 years ago
The sum of x and 15 please help
Anna007 [38]

Answer:

the sum of x and 15 is -16 because it is a straight line which means the straight line is a function.

4 0
3 years ago
Molly started her piano lesson at 3:45 pm the lesson lasted 20 minutes.what time did the piano lesson end?
vova2212 [387]
4:05 pm very simple just add 20 minutes to the time
4 0
3 years ago
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