total length of the boards = 4 1/2 meters
Given:
number of boards = 5
length of each board = 9/10 meters
5 * 9/10 = (5*9)/10 = 45/10
Simplify fraction:
45/10 = 4 5/10 or 4 1/2 meters.
Answer:
A = 744 meters B = 489 meters
Step-by-step explanation:
A = B + 255
2B - A = 234
-2B -2B Subract the -2B from both sides
-A = -2B + 234
A = 2B - 234 Divide by -1 to get A alone
B + 255 = 2B - 234 Set both equations equal to each other
- B -B
255 = B - 234
+234 +234
489 = B
Plug 234 in for B in the original equations
A = 489 + 255
A = 744
Annuities whose payments are made at the end of the period are "ordinary annuity" type
![\bf \qquad \qquad \textit{Future Value of an ordinary annuity} \\\\ A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]](https://tex.z-dn.net/?f=%5Cbf%20%5Cqquad%20%5Cqquad%20%5Ctextit%7BFuture%20Value%20of%20an%20ordinary%20annuity%7D%0A%5C%5C%5C%5C%0AA%3Dpymnt%5Cleft%5B%20%5Ccfrac%7B%5Cleft%28%201%2B%5Cfrac%7Br%7D%7Bn%7D%20%5Cright%29%5E%7Bnt%7D-1%7D%7B%5Cfrac%7Br%7D%7Bn%7D%7D%20%5Cright%5D)
![\bf \qquad \begin{cases} A= \begin{array}{llll} \textit{accumulated amount} \end{array} \\ pymnt=\textit{periodic payments}\to &100\\ r=rate\to 14\%\to \frac{14}{100}\to &0.14\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{weekly, thus} \end{array}\to &52\\ t=years\to &5 \end{cases} \\\\\\ A=100\left[ \cfrac{\left( 1+\frac{0.14}{52} \right)^{52\cdot 5}-1}{\frac{0.14}{52}} \right]](https://tex.z-dn.net/?f=%5Cbf%20%5Cqquad%20%0A%5Cbegin%7Bcases%7D%0AA%3D%0A%5Cbegin%7Barray%7D%7Bllll%7D%0A%5Ctextit%7Baccumulated%20amount%7D%0A%5Cend%7Barray%7D%0A%5C%5C%0Apymnt%3D%5Ctextit%7Bperiodic%20payments%7D%5Cto%20%26100%5C%5C%0Ar%3Drate%5Cto%2014%5C%25%5Cto%20%5Cfrac%7B14%7D%7B100%7D%5Cto%20%260.14%5C%5C%0An%3D%0A%5Cbegin%7Barray%7D%7Bllll%7D%0A%5Ctextit%7Btimes%20it%20compounds%20per%20year%7D%5C%5C%0A%5Ctextit%7Bweekly%2C%20thus%7D%0A%5Cend%7Barray%7D%5Cto%20%2652%5C%5C%0At%3Dyears%5Cto%20%265%0A%5Cend%7Bcases%7D%0A%5C%5C%5C%5C%5C%5C%0AA%3D100%5Cleft%5B%20%5Ccfrac%7B%5Cleft%28%201%2B%5Cfrac%7B0.14%7D%7B52%7D%20%5Cright%29%5E%7B52%5Ccdot%205%7D-1%7D%7B%5Cfrac%7B0.14%7D%7B52%7D%7D%20%5Cright%5D)
Answer:
2
Step-by-step explanation:
4x3=(-2)x5:(-7)
12=-2x5
12=10
12-10=0
ans=2
Answer:
Step-by-step explanation:
1x = number of chocolate chip cookies
3x = number of walnut cookies
5x = number of ginger cookies
5x = 40
x = 8
Total cookies = 1x+3x+5x = 72
