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S_A_V [24]
3 years ago
14

Helena deposited $89 into a saving account. According to the rule of 72 what interest rate will cause her money to double in app

roximately 38 years
Mathematics
2 answers:
ivolga24 [154]3 years ago
3 0
89×2=89(1+r)^38
(89×2)/89=(1+r)^38
2=(1+r)^38
\sqrt[38]{2}  = 1 + r
r=0.018
Interest rate:1.8%
Ugo [173]3 years ago
3 0

Answer:

1.9% apex

Step-by-step explanation:


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Two capacitors, a 20 mF and a 30 mF, are connected in parallel to a 400 Hz source. The total capacitive reactance is _____.
muminat

<u>Answer</u>-

<em>The total capacitive reactance of the circuit is </em><em>7.96 Ω.</em>

<u>Solution-</u>

Two capacitors, a 20 mF and a 30 mF, are connected in parallel to a 400 Hz source.

The effective/equivalent capacitance of the circuit is,

C=20+30=50\ mF

As, when capacitors are connected together in parallel, the equivalent capacitance in the circuit is equal to the sum of capacitance of all the individual capacitor.

We know that,

X_c=\dfrac{1}{2\pi fC}

Where,

X_c = Capacitive Reactance (in Ω)

f = frequency (in Hz)

C = Capacitance (in F)

Here given,

X_c = ??

f = 400 Hz

C = 50 mF = 50\times 10^{-6} F

Putting the values in the formula,

X_c=\dfrac{1}{2\pi \times 400\times 50\times 10^{-6}}

X_c=\dfrac{10^{6}}{40000\pi}

X_c=7.96\ \Omega

Therefore, the total capacitive reactance of the circuit is 7.96 Ω.

5 0
4 years ago
2х + Зу = 4<br> у + 3x = 6
evablogger [386]
The answer is
(x,y)= (2,0)
5 0
3 years ago
Negative nine times the quantity of seven plus three times the variable x
Debora [2.8K]

Answer:

-9(7+3)x

Step-by-step explanation:

7+3=10×9=90 so that'll be 90x

7 0
3 years ago
What is the solution to the system of equations below?
natka813 [3]

Answer:

no solution

Step-by-step explanation:

infinitely many solutions

3 0
3 years ago
Read 2 more answers
There are 3 pink, 3 violet, 4 yellow, and 2 brown marbles in a hat. you pick 2 marbles from the hat. marbles are not returned af
snow_lady [41]
First, we add everything together, so; 3 + 3 + 4 + 2 = 12. This means every marble has a 8.33% chance of being chosen, however since there are more than others we add those separate percentages together. 

Pink: 25%
Violet: 25%
Yellow: 33.33%
Brown: 16.66%
These are the chances of you getting either color. Since the problem asks what is the probability of finding a violet marble,we just look at the written percentages to see we have a 25% chance of choosing a violet marble.

The next step is to see what is the probability of choosing a pink marble, except we have to change things up a bit. Since we removed 1 marble, that changes ALL the percentages again, so we must rewrite the percentages. 12 - 1 is easily solved as 11, and so this means every marble has a 9.0909091% of being chosen. Let's rewrite the grouped percentages now:

Pink: 27.27%
Violet: 18.18%
Yellow: 36.36%
Brown: 18.18%

Now we see that with one marble removed, and that marble not being pink, we have a 27.27% chance of picking a pink marble.

Your Answer: 25% of Violet first time, 27.27% of Pink second time.

(How To Get Percentages?): Simple, you divide 100 (since whatever number we start out with as long as it claims nothing is missing equal 100%) by whatever number of objects you have. So as an example, if I have 5 objects, 100 / 5 = 20. This means every individual object has a 20% chance of being chosen. But we then arrange everything into whatever groups (in your problems case, colors) and multiply by the amount. So say I have 3 green balls and 2 white balls, 3 x 20 = 60 and 2 x 20 = 40 so I have a 60% of getting a green ball and 40% chance of a white ball.

Hope this helps and I hope even more you learned something :D
4 0
3 years ago
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