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yanalaym [24]
3 years ago
12

You deposit $2000 in an account earning 5% simple interest. How long will it take for the balance of the account to be $3800?

Mathematics
2 answers:
Stells [14]3 years ago
6 0
It will take bout 13 years

nirvana33 [79]3 years ago
4 0
13 years to accumulate the interest
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The sum of four times a number and one is equal to the difference of twice the number and 9
andrezito [222]

(4n+1)=(2n-9)

the sum of four times a number and one is equal to the difference of twice the number and 9

3 0
3 years ago
According to the National Bridge Inspection Standard (NBIS), public bridges over 20 feet in length must be inspected and rated e
slamgirl [31]

Answer:

1.80% probability that in a random sample of 12 major Denver bridges, at least 4 will have an inspection rating of 4 or below in 2020.

Step-by-step explanation:

For each bridge, there are only two possible outcomes. Either it has rating of 4 or below, or it does not. The probability of a bridge being rated 4 or below is independent from other bridges. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

For the year 2020, the engineers forecast that 9% of all major Denver bridges will have ratings of 4 or below.

This means that p = 0.09

Use the forecast to find the probability that in a random sample of 12 major Denver bridges, at least 4 will have an inspection rating of 4 or below in 2020.

Either less than 4 have a rating of 4 or below, or at least 4 does. The sum of the probabilities of these events is 1.

So

P(X < 4) + P(X \geq 4) = 1

We want P(X \geq 4)

So

P(X \geq 4) = 1 - P(X < 4)

In which

P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{12,0}.(0.09)^{0}.(0.91)^{12} = 0.3225

P(X = 1) = C_{12,1}.(0.09)^{1}.(0.91)^{11} = 0.3827

P(X = 2) = C_{12,2}.(0.09)^{2}.(0.91)^{10} = 0.2082

P(X = 3) = C_{12,3}.(0.09)^{3}.(0.91)^{9} = 0.0686

P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.3225 + 0.3827 + 0.2082 + 0.0686 = 0.982

Finally

P(X \geq 4) = 1 - P(X < 4) = 1 - 0.982 = 0.0180

1.80% probability that in a random sample of 12 major Denver bridges, at least 4 will have an inspection rating of 4 or below in 2020.

6 0
3 years ago
{24, 95, 76, 60, 15, 48, 80, 75}<br> a.<br> Mean =<br> b.<br> Median<br> c.<br> Mode =
sp2606 [1]

Answer:

a)59.125, b)67.5, c)None

Step-by-step explanation:

Mean = All values added up and divided by the number of values
\frac{24+95+76+60+15+48+80+75}{8}

Median = Put all numbers in order from least to most and use the middle one, if there are two, use the mean of those two
15, 24, 48, 60, 75, 76, 80, 95. The middle ones are 60 & 75 so \frac{60+75}{2}

Mode = The number that repeats more times. In this case none of them repeat.

8 0
2 years ago
PLEASE HELP<br> Solve for x in the equation 2x^2 - 5x + 1 = 3
Alchen [17]
Answer:

<span>x=<span><span>5±<span>√41</span></span>4</span></span>

Explanation:

<span>2<span>x2</span>−5x+1=3</span>

<span><span>aaaaaaa</span>−3a−3<span>aaa</span></span>Subtract 3 from both sides

<span>2<span>x2</span>−5x−2=0</span>

This equation is not factorable, so use the quadratic formula.

<span>x=<span><span>−b±<span>√<span><span>b2</span>−4ac</span></span></span><span>2a</span></span><span>aaa</span></span> for<span><span>aaa</span>a<span>x2</span>+bx+c=0</span>

<span>a=2,b=−5,c=−2</span>

<span>x=<span><span>−<span>(−5)</span>±<span>√<span><span><span>(−5)</span>2</span>−4<span>(2)</span><span>(−2)</span></span></span></span><span>2⋅2</span></span></span>

<span>x=<span><span><span>5±<span>√41</span></span>4</span></span></span>

hope this helped :)

alisa202

3 0
3 years ago
Read 2 more answers
How many books must be chosen from among?
Strike441 [17]
You have to give more explanation
5 0
3 years ago
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