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3 years ago

Mr. Green baked 24 cookies. 5 sixths of the cookies were oatmeal. How many oatmeal cookies did Mr. Green bake?

Mathematics

2 answers:

Anvisha [2.4K]3 years ago

8 0

Answer:

20 oatmeal cookies

Step-by-step explanation:

If it is 6ths then divide 24 by 6 which is 4 and multiply 5 by 4 which is 20

Svet_ta [14]3 years ago

7 0

Answer:

Step-by-step explanation:

there r 24 cookies

5/6 of 24 is 20 because 24/6 is 4 and 4*5 is 20

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Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles. A = 61°, a = 17, b = 19

Sunny_sXe [5.5K]

Okay I tried to work it without a picture of the triangle BUT
the answer should be sinB = 0.97752

5 0

3 years ago

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

Betsy, a recent retiree, requires $5000 per year in extra income. She has $60000 to invest and can invest in B-rated bonds p

solniwko [45]

Betsy needs to invest $32,000 in the B-rated bonds paying 13% interest and $28,000 in the certificate of deposit paying 3% interest.

Interest is calculated by multiplying the rate with the principal.

Let x = the amount Betsy will invest in the B-rated bonds paying 13% per annum. The remaining amount, $60,000-x , she will invest in the certificate of deposit paying 3% per annum.

We can express the earnings on these two investments, after converting the percentages to their decimal equivalents, as: 0.13x+0.03(60000-x) and this is to earn a total of $5,000

Now we can write the necessary equation to solve for x.

or, 0.13x+0.03(60000-x) = 5000

or, 0.13x+1800-0.03x = 5000

or, 0.1x+1800 = 5000

or, 0.1x = 3200

or, x = 32000

So Betsy needs to invest $32,000 in the B-rated bonds paying 13% interest and the remainder ($60,000-$32,000 = $28,000) in the certificate of deposit paying 3% interest to obtain $5,000 in interest per annum.

To learn more about interest:

brainly.com/question/13324776

#SPJ9

3 0

1 year ago

Which expression is a perfect cube?

Bingel [31]

we know that

A perfect cube is a whole number which is the cube of another whole number or a number is a perfect cube if the cube root of that number is a whole number.

case a) $12x^{12} y^{18}$