![\bf \qquad \textit{Simple Interest Earned Amount}\\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\to &1192\\ P=\textit{original amount deposited}\to& \$800\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\to &14 \end{cases} \\\\\\ 1192=800(1+r14)\implies \cfrac{1192}{800}=1+14r\implies \cfrac{149}{100}=1+14r \\\\\\ \cfrac{149}{100}-1=14r\implies \cfrac{\frac{149}{100}-1}{14}=r](https://tex.z-dn.net/?f=%5Cbf%20%5Cqquad%20%5Ctextit%7BSimple%20Interest%20Earned%20Amount%7D%5C%5C%5C%5C%0AA%3DP%281%2Brt%29%5Cqquad%20%0A%5Cbegin%7Bcases%7D%0AA%3D%5Ctextit%7Baccumulated%20amount%7D%5Cto%20%261192%5C%5C%0AP%3D%5Ctextit%7Boriginal%20amount%20deposited%7D%5Cto%26%20%5C%24800%5C%5C%0Ar%3Drate%5Cto%20r%5C%25%5Cto%20%5Cfrac%7Br%7D%7B100%7D%5C%5C%0At%3Dyears%5Cto%20%2614%0A%5Cend%7Bcases%7D%0A%5C%5C%5C%5C%5C%5C%0A1192%3D800%281%2Br14%29%5Cimplies%20%5Ccfrac%7B1192%7D%7B800%7D%3D1%2B14r%5Cimplies%20%5Ccfrac%7B149%7D%7B100%7D%3D1%2B14r%0A%5C%5C%5C%5C%5C%5C%0A%5Ccfrac%7B149%7D%7B100%7D-1%3D14r%5Cimplies%20%5Ccfrac%7B%5Cfrac%7B149%7D%7B100%7D-1%7D%7B14%7D%3Dr)
you'd get a decimal value for the rate, just multiply it times 100, to get the percentage format of it.
<h3 /><h3>V. Cylinder = π . r² . h</h3>
12,704.44 = 3.14 × r² × 14
12,704.44 = 3.14 × 14 × r²
12,704.44 = 43.96 × r²
r² = 12,704.44/43.96
r² = 289
r = √289
r = 17
<h3>#CMIIW</h3>
Hey there :)
Let
p represent the number of bags to be bought
We need to collect
30 stickers and each
bag has
3 stickers
3p = 30
↑ ↑
Number of stickers in a bad Number of stickers to be collected
![\frac{3p}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3p%7D%7B3%7D%20)
=
p = 10We need to buy 10 bags of crisps to have 30 stickers
THE ANSWER IS:
Q=98
P=25
R=57
STEP BY STEP EXPLANATION AND DOUBLE CHECKING:
1. Because you’re trying to find the variable for INTERNAL angles, all the angles will add up to 180. So, you put all the angles = 180
5x+3+3x+x+6=180
2. Add up all like terms
5x+3+3x+x+6 —> 9x+9=180
3. Subtract 9 from both sides
9x+9=180 —> 9x=171
4. Divide
9x=171 —> x=19.
TO DOUBLE CHECK THE ANSWER:
Plug 19 into all the variables.
ANGLE Q —> 5x+3 —> 5*19+3 —> 98
ANGLE P —> x+6 —> 19+6 —>25
ANGLE R —>3x —> 3*19 —> 57
Hope i helped :)
Answer:
1453 cm²
Step-by-step explanation:
The area of a regular polygon is given in terms of its perimeter and apothem by ...
A = (1/2)Pa
A = (1/2)(145.3 cm)(20 cm) = 1453 cm²