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Thepotemich [5.8K]
3 years ago
11

F(5)=12 for a geometric sequence that is defined recursively by the formula f(n)=0.3xf(n-1) where n is an integer and n>0. fi

nd f(7).
round your answer to the nearest hundredth
Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
8 0

Answer:

m

Step-by-step explanation:

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A rectangular piece of wood is 12 centimeters longer than it is wide. A strip 1 centimeter wide is cut off all around. This decr
denis-greek [22]

Answer:

Length 37 cm, width 25 cm.

Step-by-step explanation:

Let the original dimensions be length x and width x - 12 cms.

The new dimensions will be length (x - 2) and width (x - 12 - 2) = x-14 cm.

So , from the areas, we have:

x(x - 12) - (x - 2)(x - 14) = 120

x^2 - 12x  - (x^2 - 16x + 28) = 120

-12x + 16x - 28 = 120

4x = 148

x = 37 cms

So the length was 37 cm and the width was 37-12 = 25 cm.

7 0
4 years ago
Camila goes out to lunch. The bill, before tax and tip, was $9.20. A sales tax of 3% was added on. Camila tipped 19% on the amou
aleksandrvk [35]

Answer:

$0.276

Step-by-step explanation:

Given data

Bill= $9.20

Tax= 3%

Tip= 19%

Let us find the amount of the tax and the tip

Tax

=3/100*9.20

=0.03*9.2

=$0.276

Amount after sales tax

= 0.276+9.20

=$9.476

Tip

=19/100*9.476

=0.19*9.476

=$1.80044

Therefore the sales tax

=$0.276

4 0
3 years ago
2. It’s time for Ronda to start repaying her student loans, which are amortized over the next 10 years. Her first month’s paymen
grigory [225]

Based on the amount that she paid in the first month, the amount Ronda will pay for the next month is<u> $396.</u>

When a loan is amortized, it means that one can pay it off by paying the same amount every period until they would have paid off both the loan and the associated interest.

The amortized amount contains:

  • A portion going towards the principal(debt )
  • A portion going towards the interest accumulated.

In conclusion, as the amount is the same every time, Ronda will have to pay the same amount of $396 the next month.

<em>Find out more at brainly.com/question/12256592. </em>

7 0
3 years ago
If on a scale drawing 24 inches equals 10 ft. what does 1/8 inches equal
OLga [1]

Answer:

 \large\boxed{\large\boxed{(5/96)ft\approx 0.052ft}}

Explanation:

1. Use the scale ratio to set a proportion with the unknown lenght.

       24inches/10ft=(1/8)inches/x

2. To solve for x, use cross multiplication:

        24inches\times x=10ft\times(1/8)inches

3. Divide both sides by 24inches:

          x=10ft\times(1/8)inches\times (1/24inches)

4. Simplify:

          x=10ft/192=(5/96)ft\approx 0.052ft

6 0
3 years ago
calvin and 4 of his friends want to share 4 pounds of nuts equally.write an expression to show the fraction of the nuts each fri
PilotLPTM [1.2K]
4/5

The 4 is how many pounds of nuts there are and dividing by 5 shows that you are sharing the nuts equally amongst the 5 friends.
5 0
3 years ago
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