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3 years ago

If f(1)=7f(1)=7 and f(n)=f(n-1)+2f(n)=f(n−1)+2 then find the value of f(4)f(4).

Mathematics

1 answer:

Lady bird [3.3K]3 years ago

5 0

Answer:

Step-by-step explanation: f1 =7

f2 = 5(7) + 2 = 37

f3 = 5(37) + 2 = 27

f4 = 5(9) + 2 = 47____

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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:

The reduction is 8.6%

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.

For retirement at 65.5:

t = 65.5 - 62 = 3.5

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

For retirement at 67:

t = 67 - 62 = 5

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

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

$(1.349F-1.233F)\times 100/(1.349F)=8.6\%$

8 0

3 years ago

Drag and drop the correct numbers into the boxes to show the initial value and the range for each of the linear functions f(x) a

tatuchka [14]

I think the answer is the 4th one

6 0

3 years ago

ser-zykov [4K]

Answer: D. Subtracting 9 from each side

Step-by-step explanation:

Always start with numbers without variables first before doing anything with x. And make sure one side must not equal 0 unless you're doing polynomials.

5 0

3 years ago

In one week, Kateira's plant grew 0.58 inches, Stefano's plant grew 1/2 inch, Kayla's plant grew 0.4 inches, and Miranda's plant

myrzilka [38]

Answer:

Kayla = 0.4 inches

Miranda = 0.46 inches

Stefano = 0.5 inches

Kateira = 0.58 inches

Step-by-step explanation:

Kateira plant = 0.58 inches

Stefano plant = 1/2 inch

Change to decimal

Stefano plant = 0.5 inches

Kayla plant = 0.4 inches

Miranda plant = 5/11 inches

Change to decimal

Miranda plant = 0.46 inches

Order from least to greatest

= 0.4, 0.46, 0.5, 0.58 inches

That is, Kayla, Miranda, Stefano and Kateira respectively

8 0

3 years ago

What effects did the introduction of the nutria have on ecosystems throughout the U. S.? Nutria, in fact, do feed on noxious wee

leva [86]

Answer:

Step-by-step explanation:

1. Nutria, in fact, do feed on noxious weeds.

2. Nutria feed on native plants that hold wetland soil together.

3. The largest nutria populations are located in freshwater rocky coastal areas of New England.

4. Another name we could give to nutria would be invasive species.

5. Nutria's digging, rooting, and swimming causes massive erosion, converting healthy marsh habitat for native species into open water habitat.

6. The nutria’s relatively low reproductive rate help keep their numbers in check.

The answer for this is 1, 2 and 4, 5

This is USAtest prep

8 0

3 years ago