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2 years ago

Write: 3^-4 in standard form

Mathematics

1 answer:

pav-90 [236]2 years ago

4 0

Answer:

$\frac{1}{81}$

Step-by-step explanation:

Key skills: Exponents + Fractions

Use the negative exponent property. If your number is x^-y then it would be the same as 1/x^y

3^-4 is the same as $\frac{1}{3^{4}}$

3^4 is 81, so your answer would be 1/81.

Hope you have a nice day and understood this!

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Alexander was offered a job that paid a salary of $24,000 in its first year. The salary was set to increase by 4% per year every

qwelly [4]

9514 1404 393

Answer:

$129,992

Step-by-step explanation:

The sum of a geometric series is given by ...

Sn = a1·(r^n -1)/(r -1)

Here, the first term is 24000, and the growth factor r is 1+4% = 1.04. The sum is then ...

S5 = 24000·(1.04^5 -1)/(1.04 -1) ≈ 129992

The total earned over 5 years was $129,992.

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A spreadsheet can list the annual salaries and add them up. The salary each year is 1.04 times that of the previous year. That is shown in the attachment.

5 0

2 years ago

A team is excavating an archeological site. The original plan was to excavate a rectangular area 35 ft long

nikitadnepr [17]

Answer:

Part 1) The length of the new rectangle is $87.5\ ft$

Part 2) The area of the new rectangle is $4,375\ ft^{2}$

Step-by-step explanation:

we know that

If two rectangles are similar, then the ratio of its corresponding sides is proportional

step 1

Find the length of the new rectangle

Let

L-----> the length of the new rectangle

$\frac{50}{20}=\frac{L}{35}\\ \\ L=50*35/20\\ \\L=87.5\ ft$

step 2

Find the area of the new rectangle

we know that

The area of the rectangle is

$A=LW$

we have

$L=87.5\ ft$

$W=50\ ft$

substitute

$A=(87.5)(50)=4,375\ ft^{2}$

3 0

3 years ago

I need help please???

goblinko [34]

option 4 .x<11 is the correct answer

4 0

2 years ago

Please help me with my maths homework asap. Thank youuu

notka56 [123]

A = 3.141 * (3km^2). Just put that into a calculator and bingo

5 0

3 years ago

Read 2 more answers

Solve each inequality. Then compare the solutions. 3x +4> 16 - 2x + 19< 11

Makovka662 [10]

Answer:

$3x + 4 > 16 \\ 3x > 16 - 4 \\ \frac{3x}{3} > \frac{12}{3} \\ x > 4 \\ \\ - 2x + 19 < 11 \\ - 2x < 11 - 19 \\ - 2x < - 8 \\ \frac{ - 2x}{ - 2} > \frac{ - 8}{ - 2} \\ x > 4 \\ \\ comparing \\ 4 < x > 4$

7 0

2 years ago