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pychu [463]
3 years ago
10

Brenda pours laundry detergent from a bottle into the cap and then into the washing machine. Every time she fills the cap, the a

mount of detergent in the bottle changes by -0.26 liters. She fills the cap 3 1/4 times in all. John has a different bottle of detergent that is the same size. Every time he fills his cap, the amount of detergent in his bottle changes by -0.21 liters. He fills his cap 2 5/6 times in all. What was the total change for Brenda's bottle? What was the total change for John's bottle? Write as a decimal.
Mathematics
1 answer:
Vanyuwa [196]3 years ago
3 0
Brenda’s Bottle answer:

3 1/4 = 13/4 in improper fraction form.

13/4*-0.26 = -0.845. This is the difference in the change.

John’s Bottle answer:

2 5/6 = 17/6 in improper form

17/6*-0.21 = -0.595 in difference.

Thank you! I hope this helps!
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Answer:

$7,000 at a rate of 7% and $21,000 at a rate of 14%.

Step-by-step explanation:

Let x be amount invested at 7% and y be amount invested at 14%.

We have been given that a women's professional organization made two small-business loans totaling $28,000. We can represent this information in an equation as:

x+y=28,000...(1)

The interest earned at 7% in one year would be 0.07x and interest earned at 14% in one year would be 0.14x.

We are also told that the organization received from these loans was $3,430. We can represent this information in an equation as:

0.07x+0.14y=3,430...(2)

Form equation (1), we will get:

x=28,000-y

Upon substituting this value in equation (2), we will get:

0.07(28,000-y)+0.14y=3,430

1960-0.07y+0.14y=3,430

1960+0.07y=3,430

1960-1960+0.07y=3,430-1960

0.07y=1470

\frac{0.07y}{0.07}=\frac{1470}{0.07}

y=21,000

Therefore, an amount of $21,000 was invested at a rate of 14%.

x=28,000-y

x=28,000-21,000

x=7,000

Therefore, an amount of $7,000 was invested at a rate of 14%.

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Dafna11 [192]

Answer:

20a^3b^3

Step-by-step explanation:

<u>Binomial Series</u>

(a+b)^n=a^n+\dfrac{n!}{1!(n-1)!}a^{n-1}b+\dfrac{n!}{2!(n-2)!}a^{n-2}b^2+...+\dfrac{n!}{r!(n-r)!}a^{n-r}b^r+...+b^n

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Example:  4! = 4 × 3 × 2 × 1

Therefore, the fourth term in the binomial expansion (a + b)⁶ is:

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Answer:

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