Step-by-step explanation:
<h2>[1]</h2>
- SI = $250
- Rate (R) = 12
% - Time (t) = 4 years
![\longrightarrow \tt { SI = \dfrac{PRT}{100} } \\](https://tex.z-dn.net/?f=%5Clongrightarrow%20%5Ctt%20%7B%20SI%20%3D%20%5Cdfrac%7BPRT%7D%7B100%7D%20%7D%20%5C%5C%20)
![\longrightarrow \tt { 250 = \dfrac{P \times 12\cfrac{1}{2} \times 4}{100} } \\](https://tex.z-dn.net/?f=%5Clongrightarrow%20%5Ctt%20%7B%20250%20%3D%20%5Cdfrac%7BP%20%5Ctimes%2012%5Ccfrac%7B1%7D%7B2%7D%20%5Ctimes%204%7D%7B100%7D%20%7D%20%5C%5C%20)
![\longrightarrow \tt { 250 = \dfrac{P \times \cfrac{25}{2} \times 4}{100} } \\](https://tex.z-dn.net/?f=%5Clongrightarrow%20%5Ctt%20%7B%20250%20%3D%20%5Cdfrac%7BP%20%5Ctimes%20%5Ccfrac%7B25%7D%7B2%7D%20%5Ctimes%204%7D%7B100%7D%20%7D%20%5C%5C%20)
![\longrightarrow \tt { 250 = \dfrac{P \times 25 \times 2}{100} } \\](https://tex.z-dn.net/?f=%5Clongrightarrow%20%5Ctt%20%7B%20250%20%3D%20%5Cdfrac%7BP%20%5Ctimes%2025%20%5Ctimes%202%7D%7B100%7D%20%7D%20%5C%5C%20)
![\longrightarrow \tt { 250 = \dfrac{P \times 50}{100} } \\](https://tex.z-dn.net/?f=%5Clongrightarrow%20%5Ctt%20%7B%20250%20%3D%20%5Cdfrac%7BP%20%5Ctimes%2050%7D%7B100%7D%20%7D%20%5C%5C%20)
![\longrightarrow \tt { 250 \times 100 = P \times 50} \\](https://tex.z-dn.net/?f=%5Clongrightarrow%20%5Ctt%20%7B%20250%20%5Ctimes%20100%20%3D%20P%20%5Ctimes%2050%7D%20%5C%5C%20)
![\longrightarrow \tt { 25000 = P \times 50} \\](https://tex.z-dn.net/?f=%5Clongrightarrow%20%5Ctt%20%7B%2025000%20%3D%20P%20%5Ctimes%2050%7D%20%5C%5C%20)
![\longrightarrow \tt { \dfrac{25000}{50} = P } \\](https://tex.z-dn.net/?f=%5Clongrightarrow%20%5Ctt%20%7B%20%5Cdfrac%7B25000%7D%7B50%7D%20%3D%20P%20%7D%20%5C%5C%20)
![\longrightarrow \underline{\boxed{ \green{ \tt { \$ \; 500 = P }}}} \\](https://tex.z-dn.net/?f=%5Clongrightarrow%20%5Cunderline%7B%5Cboxed%7B%20%5Cgreen%7B%20%5Ctt%20%7B%20%5C%24%20%5C%3B%20500%20%3D%20P%20%7D%7D%7D%7D%20%5C%5C%20)
Therefore principal is $500.
<h2>__________________</h2>
<h2>[2]</h2>
- 2/7 of the balls are red.
- 3/5 of the balls are blue.
- Rest are yellow.
- Number of yellow balls = 36
Let the total number of balls be x.
→ Red balls + Blue balls + Yellow balls = Total number of balls
![\longrightarrow \tt{ \dfrac{2}{7}x + \dfrac{3}{5}x + 36 = x} \\](https://tex.z-dn.net/?f=%5Clongrightarrow%20%5Ctt%7B%20%5Cdfrac%7B2%7D%7B7%7Dx%20%2B%20%5Cdfrac%7B3%7D%7B5%7Dx%20%2B%2036%20%3D%20x%7D%20%5C%5C%20)
![\longrightarrow \tt{ \dfrac{10x + 21x + 1260}{35} = x} \\](https://tex.z-dn.net/?f=%5Clongrightarrow%20%5Ctt%7B%20%5Cdfrac%7B10x%20%2B%2021x%20%2B%201260%7D%7B35%7D%20%3D%20x%7D%20%5C%5C%20)
![\longrightarrow \tt{ \dfrac{31x + 1260}{35} = x} \\](https://tex.z-dn.net/?f=%5Clongrightarrow%20%5Ctt%7B%20%5Cdfrac%7B31x%20%2B%201260%7D%7B35%7D%20%3D%20x%7D%20%5C%5C%20)
![\longrightarrow \tt{ 31x + 1260= 35x} \\](https://tex.z-dn.net/?f=%5Clongrightarrow%20%5Ctt%7B%2031x%20%2B%201260%3D%2035x%7D%20%5C%5C%20)
![\longrightarrow \tt{ 1260= 35x-31x} \\](https://tex.z-dn.net/?f=%5Clongrightarrow%20%5Ctt%7B%201260%3D%2035x-31x%7D%20%5C%5C%20)
![\longrightarrow \tt{ 1260= 4x} \\](https://tex.z-dn.net/?f=%5Clongrightarrow%20%5Ctt%7B%201260%3D%204x%7D%20%5C%5C%20)
![\longrightarrow \tt{ \dfrac{1260 }{4}= x} \\](https://tex.z-dn.net/?f=%5Clongrightarrow%20%5Ctt%7B%20%5Cdfrac%7B1260%20%7D%7B4%7D%3D%20x%7D%20%5C%5C%20)
![\longrightarrow \underline{\boxed{ \tt { 315 = x }}} \\](https://tex.z-dn.net/?f=%5Clongrightarrow%20%5Cunderline%7B%5Cboxed%7B%20%20%5Ctt%20%7B%20315%20%3D%20x%20%7D%7D%7D%20%5C%5C%20)
Total number of balls is 315.
A/Q,
3/5 of the balls are blue.
![\longrightarrow \tt{ Balls_{(Blue)} =\dfrac{3 }{5}x} \\](https://tex.z-dn.net/?f=%5Clongrightarrow%20%5Ctt%7B%20Balls_%7B%28Blue%29%7D%20%3D%5Cdfrac%7B3%20%7D%7B5%7Dx%7D%20%5C%5C%20)
![\longrightarrow \tt{ Balls_{(Blue)} =\dfrac{3 }{5}(315)} \\](https://tex.z-dn.net/?f=%5Clongrightarrow%20%5Ctt%7B%20Balls_%7B%28Blue%29%7D%20%3D%5Cdfrac%7B3%20%7D%7B5%7D%28315%29%7D%20%5C%5C%20)
![\longrightarrow \tt{ Balls_{(Blue)} = 3(63)} \\](https://tex.z-dn.net/?f=%5Clongrightarrow%20%5Ctt%7B%20Balls_%7B%28Blue%29%7D%20%3D%203%2863%29%7D%20%5C%5C%20)
![\longrightarrow \underline{\boxed{ \green {\tt { Balls_{(Blue)} = 189 }}}} \\](https://tex.z-dn.net/?f=%5Clongrightarrow%20%5Cunderline%7B%5Cboxed%7B%20%5Cgreen%20%7B%5Ctt%20%7B%20Balls_%7B%28Blue%29%7D%20%3D%20189%20%7D%7D%7D%7D%20%5C%5C%20)
Answer:
3.5
Step-by-step explanation:
(-8)(-1) -2[2-5(-1)]
8 -2 [ 2-5(-1)]
8 -4+10+2
-32+80+16
+32 +32
80=48
--- ----
2 2
40= 24
--- ---
2 2
20= 13
----- -----
2 2
10= 6.5
10- 6.5
3.5
Add/subtract likenesses here (only one though)
Answer:
19
Step-by-step explanation:
9=10=19