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timofeeve [1]
1 year ago
12

WILL GIVE BRAINLIEST !!

Mathematics
1 answer:
11111nata11111 [884]1 year ago
8 0

A man needs to deposit $889 each year into the account in order to have $30,000 saved up.

Given that, future value = $30000, n = 17 years and r = 8%.

<h3>What is the future value?</h3>

The future value simple interest formula is the addition of the principal amount that we have in the beginning and the interest earned on that principal amount after the completion of the period.

Future \ value = Annuity \times (\frac{(1+r)^n-1}{r} )

Now, 30000 = Annuity \times (\frac{(1+0.08)^{17}-1}{0.08} )

⇒ 30000 = Annuity \times (\frac{(1.08)^{17}-1}{0.08} )

⇒ 30000 = Annuity × (3.7-1)/0.08

⇒ 30000 = Annuity × 33.75

⇒ Annuity = 30000/33.75

⇒ Annuity = 888.88

⇒ Annuity = $889

Therefore, a man needs to deposit $889 each year into the account in order to have $30,000 saved up.

To learn more about the future value visit:

brainly.com/question/14860893.

#SPJ1

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According to a study conducted in one city, 35% of adults in the city have credit card debts more than $2.000. A simple random s
BabaBlast [244]

Answer:

Binomial; \mu p=87.5, \sigma p=7.542

Step-by-step explanation:

  • a distribution is said be a binomial distribution iff
  1. The probability of success of that event( let it be p) is same for every trial
  2. each trial should have 2 outcome : p or (1-p) i.e, success or failure only.
  3. there are fixed number of trials (n)
  4. the trials are independent
  • here, the trials are obviously independent ( because, one person's debt doesn't influence the other person's)
  • here n=250
  • the probability of success(0.35) is same for every trial

(35/100=0.35 is the required p here)

  • \mu_{p} =n*p=250*\frac{35}{100} =250*0.35=87.5

[since, the formula for \mu _{p} =n*p ]

  • \sigma _{p} =\sqrt{n*(p)*(1-p)} = \sqrt{250*0.35*(1-0.35)} = 7.542 ( approximately)

[since, the formula for [tex]\sigma _{p} =\sqrt{n*(p)*(1-p)}

  • therefore, it is Binomial; \mu p=87.5, \sigma p=7.542

4 0
3 years ago
5a + 18 &lt; −27 pre algibra
Grace [21]

Answer:

X < -9

Step-by-step explanation:

5a +18 < -27

5a < -27 -18

5a < - 45

5a/5 < - 45/5

a < - 9

Answred by Gauthmath

5 0
2 years ago
Read 2 more answers
B
Gnesinka [82]

Answer:

13

Step-by-step explanation:

We know that a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

5^2 + 12^2 = c^2

25+144 = c^2

169 = c^2

Taking the square root of each side

sqrt(169) = sqrt(c^2)

13 =c

3 0
2 years ago
The city will place a low fence around the entire fish pond.To the nearest hundredth, how long will the fence be?
Tom [10]
You can't tell the dimensions from the area. There are an infinite number of correct answers. The length of the fence is 2 times (length of the pond + width) and the length and width can be anything, just as long as their product is 2956.5 .
7 0
3 years ago
BRAINLIESTT ASAP! PLEASE HELP ME :)
Lubov Fominskaja [6]

Answer: \sqrt{37}

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

Work Shown:

6x-y = -3 is the same as 6x-y+3 = 0

6x-y+3 = 0 is the form Ax+By+C = 0 with A = 6, B = -1, C = 3.

The distance d that line is from the point (p,q) = (6, 2) is found by the following

d = \frac{A*p+B*q+C}{\sqrt{A^2+B^2}}\\\\d = \frac{6*6-1*2+3}{\sqrt{6^2+(-1)^2}}\\\\d = \frac{36-2+3}{\sqrt{36+1}}\\\\d = \frac{37}{\sqrt{37}}\\\\d = \frac{37\sqrt{37}}{37}\\\\d = \sqrt{37}\\\\d \approx 6.08276\\\\

7 0
3 years ago
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