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Tcecarenko [31]
3 years ago
5

Increase 2.75 by 1/4

Mathematics
2 answers:
alexgriva [62]3 years ago
7 0
3.4375 is the answer
Ivanshal [37]3 years ago
7 0

Answer:

1/4 in decimal form is 0.25. You can convert any fraction into a decimal by just diving the numerator by the denominator.

Every time you see a fraction sign basically “—“ it jsut means divide by.

Now you can just divide. 1/4= 0.25

now we Increase which just means add

2.75+0.25 =3

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You recently discovered that your job provides a 25% matching towards your retirement.
Harman [31]

Answer:

What is typed in the attached Excel file is =FV(B4,B5,-B3,0,0).

Step-by-step explanation:

Note: See the attached excel file for the calculation of future value of an ordinary annuity.

Since we want to find the balance after 30 years, the function in the Excel is the FV function which is used to calculate the future value (FV) of an ordinary annuity as follows:

=FV(rate,nper,-pmt,0,0) …………………… (1)

rate = Monthly interest rate = APR / 12 = 8.99% / 12 = 0.0899 / 12 = 0.00749166666666667. Note: This is typed in cell B4 in attached excel file.

nper = periods = number of months = 30 years * 12 months = 360. Note: This is typed in cell B5 in attached excel file.

pmt = monthly payment = $300. Note: This is typed in cell B3 in the attached excel file. And also typed as a negative value in cell B7, i.e. as -B3.

pv = present value = 0. Note: This is the first 0 typed in cell B7 in the attached excel file.

type 0 = 0 this is typed to indicate that deposit is made at end of period as a regular or ordinary annuity. This is the second 0 typed in cell B7 in the attached excel file.

Based on the above, the FV function in equation (1) above is converted to the following which is typed in the attached Excel file to find the balance after 30 years:

=FV(B4,B5,-B3,0,0)

The above then gives a future value of $548,080.11 which is  the balance after 30 years.

Download xlsx
3 0
3 years ago
The population of a colony of mosquitoes obeys the law of uninhibited growth. If there are 1000 mosquitoes initially and there a
Anettt [7]

Answer:

1) The size of the colony after 4 ​days is 6553 mosquitoes

2) After t = 4.9\ days

Step-by-step explanation:

To answer this question you must use the growth formula

N = N_0e ^ {kt}

Where

N_0 is the initial population of mosquitoes = 1000

t is the time in days

k is the growth rate

N is the population according to the number of days

We know that when t = 1 and N_0=1000 then N = 1600

Then we use these values to find k.

1600 = 1000e ^{k(1)}\\\\\frac{1600}{1000} = e ^ k\\\\ln(\frac{1600}{1000}) = k\\\\k = 0.47

Now that we know k we can find the size of the colony after 4 days.

N = 1000e ^ {0.47(4)}\\\\N = 6553\ mosquitoes

To know how long it should take for the population to reach 10,000 mosquitoes we must do N = 10000 and solve for t.

10000 = 1000e ^ {0.47t}\\\\10 = e ^ {0.47t}\\\\ln(10) = 0.47t\\\\t = \frac{ln(10)}{0.47}\\\\t = 4.9\ days

6 0
3 years ago
Area= 60 cm width 5cm what is the length and width
Anna [14]

Answer:

length = 12 cm | width = 5 cm

Step-by-step explanation:

You already know the width is 5 cm. So now just divide 5 from 60 to get the length of 12 cm.

3 0
3 years ago
Read 2 more answers
Triangle N P O is shown. Line O N extends through point M to form exterior angle P N M. Angle N P O is 38 degrees. Angle P O N i
Brilliant_brown [7]

Answer:

c

Step-by-step explanation:

5 0
2 years ago
The side lengths are 9,12,18. is this a right triangle?
andrezito [222]

No the side lengths of 9,12, and 18 doesn’t form a right triangle. Posted a picture showing all the side length that is a right triangle.

4 0
3 years ago
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