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bezimeni [28]
3 years ago
5

the area of a rectangle is 20 square feet. if a scale factor of 3 is applied to the rectangle to form a new rectangle, what will

be it’s area?
Mathematics
2 answers:
Natali [406]3 years ago
4 0
I believe that the answer is 60
Sunny_sXe [5.5K]3 years ago
4 0

Hey there!

The formula is: w × h = width × height

Area = 20

Scale factor = 3

20 × 3 = 20 + 20 + 20 = 40 + 20 = 60

20 × 3 = 60

Random notes ⬇

20 + 20 + 20 = 60

40 + 20 = 60

Thus, your Answer: 60 ✅

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

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Sonja [21]

Answer:

6.25%

Step-by-step explanation:

discount/ normal price

5/80

And we are trying to find out the percentage, so

x/100

Set the 2 equations equal to each other

5/80=x/100

Cross multiply

80x=500

Divide by 80 on both sides

x= 6.25

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What is the value of x? a. 30 b. 45 c. 55 d. 60
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Taylor buys 6 bus tickets. He pays for the tickets with a $20 bill.
4vir4ik [10]

Answer:

20 - 6c

Step-by-step explanation:

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The geometric sequence a i a i ​ a, start subscript, i, end subscript is defined by the formula: a 1 = 8 a 1 ​ =8a, start subscr
frozen [14]

Question:

The geometric sequence ai is defined by the formula: a₁ = 8, aᵢ = aᵢ₋₁(-1.5 ).

Find the sum of the first 20 terms in the sequence. Choose 1 answer:

Answer:

The sun of 20 terms of the progress is -10,637.621536256

Step-by-step explanation:

Given

Geometric Sequence

a₁ = 8

aᵢ = aᵢ₋₁(-1.5 )

First, the common ratio needs to be calculated.

The common ratio is the ratio of a term to its previous term.

In other words,

Ratio = 2nd term ÷ 1st term or 3rd term ÷ 2nd term, ...... Etc.

We can calculate the common ratio from aᵢ = aᵢ₋₁(-1.5 ) by dividing both sides by aᵢ₋₁. This gives

aᵢ / aᵢ₋₁ = aᵢ₋₁(-1.5 ) / aᵢ₋₁

aᵢ / aᵢ₋₁ = -1.5

So, the common ratio, r = -1.5

Now that we've had the common ratio and first term to be -1.5 and 8 respectively, the sum of 20 terms can then be calculated using the sum of n terms formula.

Sₙ = a(1 - rⁿ)/(1 - r)

We're making use of this formula because r is less than 1

Where n = 20

a = first term = 8

r = -1.5

By substituting these values; we get

S₂₀ = 8(1 - (-1.5)²⁰)/(1 - (-1.5))

S₂₀ = 8(1 - (-1.5)²⁰)/(1 + 1.5))

S₂₀ = 8(1 - (-1.5)²⁰)/(1 + 1.5))

S₂₀ = 8(1 - (3325.25673008

))/(2.5)

S₂₀ = 8(1 - 3325.25673008

)/(2.5)

S₂₀ = 8(-3324.25673008

)/(2.5)

S₂₀ = -10,637.621536256

5 0
3 years ago
A company provides a monthly pension to its employees. A person retiring at 62 retires and receives a full monthly pension. If t
IRISSAK [1]

Answer:

  • <em><u>The reduction is 8.6%</u></em>

Explanation:

Call F the full monthly pension of a person retiring at 62.

If a person continues to work the pension grows at a rate of 6% per year, compounded monthly, so use the compounded growing formula:

  • Pension=F(1+r/12)^{12t}

Where r = 6 / 100 = 0.06, and t = number of years after retirement.

<u>For retirement at 65.5</u>:

  • t = 65.5 - 62 = 3.5

  • Pension=F(1+0.06/12)^{12\times 3.5}=1.233F

<u>For retirement at 67</u>:

  • t = 67 - 62 = 5

  • Pension=F(1+0.06/12)^{12\times 5}=1.349F

<u>Percent reduction of people who retire at 65.5 compared to what they would receive at 67</u>:

  • (1.349F-1.233F)\times 100/(1.349F)=8.6\%
8 0
3 years ago
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