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liq [111]
2 years ago
15

Plz help i will give brainliest

Mathematics
1 answer:
nikdorinn [45]2 years ago
5 0
X = to 2/3
6x = 3x+2
Subtract 3x in both sides
3x=2 divide 3 in both sides and you get
X = 2/3
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how much must you deposit in an account that pays 8% interest,compounded monthly to have a balance of $1000 after three years?​
NNADVOKAT [17]
<h3>Answer:  787.25 dollars</h3>

=============================

Work Shown:

A = final amount after t years = 1000

P = initial deposit = unknown

r = interest rate in decimal form = 0.08

n = compounding frequency = 12

t = number of years = 3

-----

A = P*(1+r/n)^(n*t) is the compound interest formula

1000 = P*(1+0.08/12)^(12*3)

1000 = P*1.27023705162066

1.27023705162066P = 1000

P = 1000/1.27023705162066

P = 787.254629932364

P = 787.25 rounding to the nearest penny

----

note: this assumes that the interest rate stays at 8% the entire three year period; also, you cannot withdraw any money from the account during this time period.

5 0
3 years ago
The number of potholes in any given 1-mile stretch of freeway pavement in Pennsylvania has a Normal distribution. This distribut
Iteru [2.4K]

Answer:

83.85% of 1-mile long roadways with potholes numbering between 22 and 58

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 49

Standard deviation = 9

Using the Empirical Rule, what is the approximate percentage of 1-mile long roadways with potholes numbering between 22 and 58?

22 = 49 - 3*9

So 22 is three standard deviations below the mean.

Since the normal distribution is symmetric, 50% of the measures are below the mean and 50% are above the mean.

Of those 50% which are below the mean, 99.7% of those are within 3 standard deviations of the mean, that is, greater than 22.

58 = 49 + 9

So 58 is one standard deviation of the mean.

Of those which are above the mean, 68% are within 1 standard deviation of the mean, that is, lesser than 58.

Then

0.997*0.5 + 0.68*0.5 = 0.8385 = 83.85%

83.85% of 1-mile long roadways with potholes numbering between 22 and 58

5 0
2 years ago
1/3(3x-6)=2x please help
german

Answer:

-2

Step-by-step explanation:

In the picture

4 0
3 years ago
Read 2 more answers
A culture of bacteria obeys the law of uninhibited growth. if 500 bacteria are present initially, and there are 800 after 1 hour
lesantik [10]
Since this culture of bacteria obeys the law of uninhibited growth. Given that 500 bacteria are present initially, and there are 800 after 1 hour, a growth rate of 0.470003629246 (k value) has been calculated. <span>5243 </span>will be present after 5 hours.
8 0
3 years ago
Read 2 more answers
Free pts!! Have a great day!
alukav5142 [94]

<em><u>Thanks !</u></em>

<em><u>Have a great day you too !! </u></em>

4 0
3 years ago
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