Hi there!
First off you need to know that 1 yard is equal to 3 feet.
In order to know how many feet each bow requires, you'll need to use the cross product method :
1 yard = 3 feet
0.5 yard = x feet
(3 × 0.5) ÷ 1 = x feet
1.5 ÷ 1 = x feet
1.5 = x feet
Since now you know that one bow requires 1.5 feet of fabric and you want to know how many feet of ribbon Jeanne must by to make 84 bows, you can use again the cross product method, or you can just multiply the amout of fabric required for one bow (1.5) by the number of bow you want to make (84) :
1.5 × 84 = 126
The answer is: Jeanne must buy 126 feet of fabric in order to make 84 bows.
There you go! I really hope this helped, if there's anything just let me know! :)
I thing x=7
Hope it help full
Answer:
The
Step-by-step explanation:
x
=
√
11
−
7
,
−
√
11
−
7
Decimal Form:
x
=
−
3.68337520
…
,
−
10.31662479
…
Answer:
a) The present value is 688.64 $
b) The accumulated amount is 1532.60 $
Step-by-step explanation:
<u>a)</u><u> The preset value equation is given by this formula:</u>
![P=\int^{T}_{0}f(t)e^{-rt}dt](https://tex.z-dn.net/?f=P%3D%5Cint%5E%7BT%7D_%7B0%7Df%28t%29e%5E%7B-rt%7Ddt)
where:
- T is the period in years (T = 10 years)
- r is the annual interest rate (r=0.08)
So we have:
Now we just need to solve this integral.
![P=\int^{T}_{0}0.01te^{-rt}dt+\int^{T}_{0}100e^{-rt}dt](https://tex.z-dn.net/?f=P%3D%5Cint%5E%7BT%7D_%7B0%7D0.01te%5E%7B-rt%7Ddt%2B%5Cint%5E%7BT%7D_%7B0%7D100e%5E%7B-rt%7Ddt)
The present value is 688.64 $
<u>b)</u><u> The accumulated amount of money flow formula is:</u>
![A=e^{r\tau}\int^{T}_{0}f(t)e^{-rt}dt](https://tex.z-dn.net/?f=A%3De%5E%7Br%5Ctau%7D%5Cint%5E%7BT%7D_%7B0%7Df%28t%29e%5E%7B-rt%7Ddt)
We have the same equation but whit a term that depends of τ, in our case it is 10.
So we have:
The accumulated amount is 1532.60 $
Have a nice day!
Answer:
irrational numbers
Step-by-step explanation:
These types of numbers are known in mathematics as irrational numbers. This is because there is no way to truly rationalize these numbers as we cannot truly rationalize the meaning of infinity. These numbers keep going endlessly and there doesn't exist an end. One example of an irrational number is the value of Pi which we know as a simplified 3.14 but in reality, the value of Pi is endless. The first thousand places of Pi can be seen below
3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 8214808651 3282306647 0938446095 5058223172 5359408128 4811174502 8410270193 8521105559 6446229489 5493038196 4428810975 6659334461 2847564823 3786783165 2712019091 4564856692 3460348610 4543266482 1339360726 0249141273 7245870066 0631558817 4881520920 9628292540 9171536436 7892590360 0113305305 4882046652 1384146951 9415116094 3305727036 5759591953 0921861173 8193261179 3105118548 0744623799 6274956735 1885752724 8912279381 8301194912 9833673362 4406566430 8602139494 6395224737 1907021798 6094370277 0539217176 2931767523 8467481846 7669405132 0005681271 4526356082 7785771342 7577896091 7363717872 1468440901 2249534301 4654958537 1050792279 6892589235 4201995611 2129021960 8640344181 5981362977 4771309960 5187072113 4999999837 2978049951 0597317328 1609631859 5024459455 3469083026 4252230825 3344685035 2619311881 7101000313 7838752886 5875332083 8142061717 7669147303 5982534904 2875546873 1159562863 8823537875 9375195778 1857780532 1712268066 1300192787 6611195909 2164201989