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3 years ago

A boat costs $12,250 & decreases in value by 11% per year how much will the boat be worth after 4 years

1 answer:

5 0

So it decreases by 11% which means by the next year it's worth 89% of the original price, write 89% like a decimal. then put it to the power of 4 (4 years) and multiply by the original number
.89 ^ 4 * 12250 = 7685.92

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Carmen has 1/6 of a loaf pumpkin bread. She cuts the loaf into six equal pieces and gives one piece to each of her six friends.

Marta_Voda [28]

Answer:

each friend gets 1/36 of the loaf of pumpkin bread

Step-by-step explanation:

1/6 of a loaf

1/6 divided by 6

turn 6 into a fraction → 6/1

1/6 ÷6/1

to divide multiply the reciprocal 6/1 → 1/6

1/6 x 1/6 = 1/36

each friend get 1/36

6/x = 1/6

x= 36

6/36

8 0

3 years ago

Subtract.<br> (3r²s+ 4rs+2-16r²s²) - (7sr²+10-13r²s²)<br><br> Simplify answer. Do not factor

pentagon [3]

[- 3r²s² - 4sr² + 4rs - 8] is the resultant answer when we subtract the linear equation (7sr²+10-13r²s²) from (3r²s+ 4rs+2-16r²s²).

<h3>What are linear equations?</h3>

A linear equation in one variable is a mathematical expression for an equation with only one variable.
While any two real integers can represent A and B, the ambiguous variable x has just one possible value.
The formula is Ax + B = 0.
9x + 78 = 18 is an example of a linear equation with just one variable.

So, we have:

(3r²s+ 4rs+2-16r²s²) - (7sr²+10-13r²s²)

Now, calculate as follows:

= (3r²s+ 4rs+2-16r²s²) - (7sr²+10-13r²s²)
= 3r²s+ 4rs+2-16r²s² - 7sr²- 10 + 13r²s²
= 13r²s² - 16r²s² - 7sr² + 3r²s + 4rs - 10 + 2
= - 3r²s² - 4sr² + 4rs - 8

Therefore, [- 3r²s² - 4sr² + 4rs - 8] is the resultant answer when we subtract the linear equation (7sr²+10-13r²s²) from (3r²s+ 4rs+2-16r²s²).

Learn more about linear equations:

brainly.com/question/11897796

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7 0

1 year ago

A new movie is released each year for 8 years to go along with a popular book series. Which movie is 5 minutes longer than the l

Vinil7 [7]

Answer:

$\boxed{\text{12 h 20 min}}$

Step-by-step explanation:

1. Find the eighth term

You have an arithmetic sequence. It starts at 75 and each successive term is 5 more than the one preceding it

The general formula for the nth term (aₙ) is

aₙ = a₁ + (n - 1)d

where a₁ is the first term and d is the common difference (5) between consecutive terms. Thus,

a₈ = 75 + (8 - 1) × 5 = 75 + 7 × 5 = 75 + 35 = 110

2. Find the sum

The formula for sum of the first n terms of an arithmetic sequence is

$S_{n} & = & \dfrac{n(a_{1} + a_{n})}{2}$

$\begin{array}{rcl}S_{8}& = & \dfrac{8(75 +110)}{2}\\& = & 4 \times 185\\& = & \text{740 min}\\& = & \textbf{12 h 20 min}\\\end{array}\\\text{The total length of all eight movies is }\boxed{\textbf{12 h 20 min}}$

4 0

3 years ago

Preston reads for 20 minutes and practices math facts for 5 minutes each night after several days you practice math facts for 45

Rus_ich [418]

Divide 45 by 5

Now multiply 20 by 9

180

Your answer should be 180.

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3 years ago

Read 2 more answers

A teacher is comparing the test scores of two classes. The range of class 1 is 14, and the interquartile range is 7. The range o

Archy [21]

Class 1 has more variability because both the range and interquartile range are greater than class 2, meaning the data is more spread out.

<h3>What is range and interquartile range?</h3>

The range is the difference between the largest number and the smallest number in a dataset. The interquartile range is the difference between the first quartile and the third quartile of a dataset.

Range and interquartile range are used to measure the spread of a dataset. The higher range and interquartile range is, the greater the spread and variability of the dataset.

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2 years ago