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nikitadnepr [17]
3 years ago
13

4. A person borrows money from a friend and they decide

Mathematics
1 answer:
dybincka [34]3 years ago
5 0

9514 1404 393

Answer:

  $3,840

Step-by-step explanation:

The interest formula can be rearranged to find the principal amount.

  I = Prt

  P = I/(rt) = $768/(.04·5)

  P = $3,840

They originally borrowed $3,840.

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25x²+0x-1<br><br> Factor completely<br><br> Please provide an explanation if able
kati45 [8]

Answer:

(5x-1)(5x+1)

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is the center or a circle represented by the equation (x+9)2 + (y-6)2 = 10 to the power of 2
m_a_m_a [10]

Answer:

(-9,6)

Step-by-step explanation:

The general equation of a circle is given as:

x²+y²+2gx+2fy+c = 0

The centre of the circle is (-g,-f)

Given the equation of the circle

(x+9)² + (y-6)² = 10²

First we need to expand and write it in the general form. On expansion:

x²+18x+81+y²-12y+36 = 100

Collecting like terms

x²+y²+18x-12y+81+36-100 = 0

x²+y²+18x-12y+17 = 0

Comparing to the general equation

2gx = 18x

g = 9

2fy = -12

f = -6

The center of the circle = (-g, -f)

= (-9,-(-6))

= (-9, 6)

4 0
3 years ago
On a multiple choice test, each question has 7 possible answers. If you make a random guess on the first question, what is the p
valkas [14]

Answer:

c (1/7)

Step-by-step explanation:

4 0
3 years ago
A line with a slope of 8 passes through the points (-1,1) and (0,k). What is the value of k?
Diano4ka-milaya [45]

Answer:

k = 9

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to 8

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 1, 1) and (x₂, y₂ ) = (0, k)

m = \frac{k-1}{0+1} = k - 1 = 8 ( add 1 to both sides )

k = 9

3 0
3 years ago
On a very hot summer day, 5% of the production employees at Midland States Steel are absent from work. The production employees
Ann [662]

Answer:

59.87% probability of randomly selecting 10 production employees on a hot summer day and finding that none of them are absent

Step-by-step explanation:

For each employee, there are only two possible outcomes. Either they are absent, or they are not. The probability of an employee being absent is independent from other employees. So we use the binomial probability distribution to solve this question.

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.

5% of the production employees at Midland States Steel are absent from work.

This means that p = 0.05

What is the probability of randomly selecting 10 production employees on a hot summer day and finding that none of them are absent

This is P(X = 0) when n = 10. So

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

P(X = 0) = C_{10,0}.(0.05)^{0}.(0.95)^{10} = 0.5987

59.87% probability of randomly selecting 10 production employees on a hot summer day and finding that none of them are absent

4 0
3 years ago
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