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kicyunya [14]
3 years ago
7

Isaac is making soft pretzel nuggets. His recipe says that, after he makes the dough, he should divide it into 8 equal pieces. T

hen, he needs to roll each piece into a 2-foot-long rope and cut it into nuggets. If he decides to make each pretzel nugget 1 inch long, how many can he make in all?
Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
8 0

Answer:

The answer to your question is 192 pretzels

Step-by-step explanation:

Data

number of pieces = 8

length of each piece = 2 ft

length of each pretzel = 1 in

number of pretzels = x

Process

1.- Convert ft to in

                        1 ft --------------- 12 in

                         2 ft --------------- x

                         x = (2 x 12) / 1

                         x = 24 ft

2.- Divide the length of each piece by the length of each pretzel

                       24/1 = 24 pretzels per piece

3.- Multiply the number of pretzels per the number of pieces

                       24 x 8 = 192 pretzels

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A businessman borrowed P3,000,000 with interest at the rate of 6% compounded annually. He agrees to discharge his obligations by
Elis [28]

Answer:

B. 770,222

Step-by-step explanation:

From the question above, we are given the following values:

Principal = 3,000,000

Interest rate = 6%

Step 1

Since we are told in the question that he will make 6 payments at the end of each year STARTING FROM THE END OF THE FIRTH YEAR, the first step would be to find the future value of the Principal (3,000,000) for the first 4 years.

Future Value formula =

FV = P × {(1 + r)ⁿ

Where P = Principal = 3,000,000

r = interest rate = 6% = 0.06

n = number of years = 4 years

Future value = 3,000,000 × {( 1 + 0.06)⁴

Future value = 3,787,430.88

Hence, the future value of this loan at the end of year 4 is 3,787,430.88.

Step 2

We are told in the question that he would be carrying out a series of series of 6 annual payment, the first being due at the end of the fifth year.

Therefore, this means the future value at the end of four year would be equal to or equivalent to the present value at the beginning of the fifth year.

The second step to take would be to find the periodic payment.

The forward for periodic payment is given as:

Periodic Payment ( Pmt) = (PV × r) ÷ ( 1 - (1 + r) ⁻ⁿ  

Present value( PV) = 3,787,430.88.

number of time periods = 6

interest rate per time period(r) = 6%

payments are made at the end of each time period.

Periodic Payment ( Pmt) = (3,787,430.88. × 0.06) ÷ [( 1 - (1 + 0.06)⁻⁶)]

= 770,221.9

Approximately = 770,222

Therefore, the value of his annual payment with his first payment been due at the beginning of the fifth year is 770,222.

7 0
3 years ago
Evaluate.<br><br> 8d - 4 / 3 + c. when d = 5 and c = 6.
Lady bird [3.3K]

replace the values for the letters than follow order of operations:

8(5) - 4/3 + 6 =

40-1 1/3 +6

38.67+6 = 44 2/3

5 0
3 years ago
PLEASE HURRY!!
Arisa [49]

Answer:

Henry's balloon was farther from the town at the beginning and Henry's balloon traveled more quickly.

Step-by-step explanation:

The distance of Tasha's balloon from the town is represented by the function y = 8x+ 20 ............. (1)

Where y is the distance in miles from the town and x represents the time of fly in hours.

So, at the start of the journey i.e. at x = 0, y = 20 miles {From equation (1)} from the town.

Again, Tasha's balloon is traveling at a rate of 8 miles per hour.

Now, Henry's balloon begins 30 miles from the town and is 48 miles from the town after 2 hours.

So, Henry's balloon traveling with the speed of \frac{48 - 30}{2} = 9 miles per hour.

Therefore, Henry's balloon was farther from the town at the beginning i.e. 30 miles from the town. And Henry's balloon traveled more quickly i.e at the rate of 9 miles per hour. (Answer)

8 0
3 years ago
The distance from Jamestown to Kenneville is 180 miles, the distance from Kenneville to Elizabeth City is 300 miles, and the dis
Marina86 [1]

Answer:

B the anser is B

Step-by-step explanation:

you hafto to do it like B bc its the most comen sens one

6 0
3 years ago
I WILL MARK BRAINLIEST IF YOU CAN ANSWER THISSSS (9x10)/44+pi = xy what is xy and how did you find your answer?? After typing pl
melomori [17]

Answer:  1.9

Step-by-step explanation:

You want to multiply 9x10 which is 90.

Then you want to add 44+pi

now pi can be shown as 3.14 or 22 over 7

in this case you want to add 44 + 3.14 which gives you 47.14

now you want to divide 90/47.14 which gives you 1.90920661858 or in short

1.9

6 0
3 years ago
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