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masha68 [24]
3 years ago
13

nancy started the year with $425 in the bank and is saving $25 a week. Seamus started the year with $875 and is spending $15 a w

eek. When will they have the same amount of money in the bank
Mathematics
1 answer:
Goryan [66]3 years ago
3 0

They will have same amount in 45 weeks.

Step-by-step explanation:

Given,

Starting amount of Nancy = $425

Per week saving = $25

Let,

x represent the number of weeks.

N(x) = 25x+425

Starting amount of Seamus = $875

Per week saving = $15

S(x) = 15x+875

For same amount;

N(x) = S(x)

25x+425=15x=875\\25x-15x=875-425\\10x=450

Dividing both sides by 10

\frac{10x}{10}=\frac{450}{10}\\x=45

They will have same amount in 45 weeks.

Keywords: function, division

Learn more about functions at:

  • brainly.com/question/9738996
  • brainly.com/question/9729310

#LearnwithBrainly

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svetlana [45]

Answer:

A: This polynomial has a degree of 2 , so the equation 12x2+5x−2=0 has two or fewer roots.

B: The quadratic equation 12x2+5x−2=0 has two real solutions, x=−2/3 or x=1/4 , and therefore has two real roots.

Step-by-step explanation:

f(x) = 12x^2 + 5x - 2.

Since this is a quadratic equation, or a polynomial of second degree, one can easily conclude that this equation will have at most 2 roots. At most 2 roots mean that the function can have either 2 roots at maximum or less than 2 roots. Therefore, in the A category, 2nd option is the correct answer (This polynomial has a degree of 2 , so the equation 12x^2 + 5x − 2 = 0 has two or fewer roots).

To find the roots of f(x), set f(x) = 0. Therefore:

12x^2 + 5x - 2 = 0. Solving the question using the mid term breaking method shows that 12*2=24. The factors of 24 whose difference is 5 are 8 and 3. Therefore:

12x^2 + 8x - 3x - 2 = 0.

4x(3x + 2) -1(3x+2) = 0.

(4x-1)(3x+2) = 0.

4x-1 = 0 or 3x+2 = 0.

x = 1/4 or x = -2/3.

It can be seen that f(x) has two distinct real roots. Therefore, in the B category, 1st Option is the correct answer (The quadratic equation 12x2+5x−2=0 has two real solutions, x=−2/3 or x=1/4 , and therefore has two real roots)!!!

8 0
3 years ago
4.) A bag contains 10 red marbles and 5 blue marbles. You randomly select 3 marbles from the bag. What is
sesenic [268]

Answer:

a) 1/27

b) 2/91

Step-by-step explanation:

A bag contains 10 red marbles and 5 blue marbles (15 marbles in total). You randomly select 3 marbles from the bag.

a) You replace each marble before selecting the next one.

The probability of selecting one blue marble is

\dfrac{5}{15}=\dfrac{1}{3},

then the probability that all 3 marbles are blue is

\dfrac{1}{3}\times \dfrac{1}{3}\times \dfrac{1}{3}=\dfrac{1}{27}

b) You do not replace each marble before selecting the next one. Each time the number of blue marbles decreases by 1 and the total number of marbles decreases by 1 too. So the probability that all 3 marbles are blue is

\dfrac{5}{15}\times \dfrac{4}{14}\times \dfrac{3}{13}=\dfrac{2}{91}

7 0
3 years ago
Help please! Thankyou
Soloha48 [4]

Answer:

Thus, option A is correct.

Explanation:

<u>match the proportions</u>

  • $240,000 → 60%
  • x → 100%

<u>set up a equation:</u>

\sf \dfrac{60}{100}  = \dfrac{240,000}{x}

\sf x = \$400,000

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