Answer:
6.5555 months
Step-by-step explanation:
$415-$120= $295
Micah will need $295 from his paycheck earnings to be able to afford the guitar.
$295/$45= 6.5555months
Answer:
y=-5/3+6
Step-by-step explanation:
y=mx+b
m is the slope
b is the y-intercept
y=-5/3+6
Answer:
Step-by-step explanation:
#1:
![\frac{18m^2u}{16n^3v^2} \div \frac{24m}{15nu^3}*\frac{8n^2v^3}{30m^3u}](https://tex.z-dn.net/?f=%5Cfrac%7B18m%5E2u%7D%7B16n%5E3v%5E2%7D%20%5Cdiv%20%5Cfrac%7B24m%7D%7B15nu%5E3%7D%2A%5Cfrac%7B8n%5E2v%5E3%7D%7B30m%5E3u%7D)
division sign means that we flip the fraction
![\frac{18m^2u}{16n^3v^2} * \frac{15nu^3}{24m}*\frac{8n^2v^3}{30m^3u}](https://tex.z-dn.net/?f=%5Cfrac%7B18m%5E2u%7D%7B16n%5E3v%5E2%7D%20%2A%20%5Cfrac%7B15nu%5E3%7D%7B24m%7D%2A%5Cfrac%7B8n%5E2v%5E3%7D%7B30m%5E3u%7D)
now we can multiply all the constants together and all variables
![m: (m^2)/(m*m^4) = (m^2)/(m^4) = 1/(m^2)\\u: (u * u^3)/(u) = (u^4)/(u) = u^3\\n: (n*n^2)/(n^3) = 1\\v: (v^3) / (v^2) = v\\(18*15*8)/(16*24*30) = \frac{3}{16}](https://tex.z-dn.net/?f=m%3A%20%28m%5E2%29%2F%28m%2Am%5E4%29%20%3D%20%28m%5E2%29%2F%28m%5E4%29%20%3D%201%2F%28m%5E2%29%5C%5Cu%3A%20%28u%20%2A%20u%5E3%29%2F%28u%29%20%3D%20%28u%5E4%29%2F%28u%29%20%3D%20u%5E3%5C%5Cn%3A%20%28n%2An%5E2%29%2F%28n%5E3%29%20%3D%201%5C%5Cv%3A%20%28v%5E3%29%20%2F%20%28v%5E2%29%20%3D%20v%5C%5C%2818%2A15%2A8%29%2F%2816%2A24%2A30%29%20%3D%20%5Cfrac%7B3%7D%7B16%7D)
now we can combine all the parts
![\frac{3u^3v}{16m^2}](https://tex.z-dn.net/?f=%5Cfrac%7B3u%5E3v%7D%7B16m%5E2%7D)
#2:
![\frac{24a^2b^3c}{9bc^3}\div\frac{4a^5bc^3}{27a^3b^2c}](https://tex.z-dn.net/?f=%5Cfrac%7B24a%5E2b%5E3c%7D%7B9bc%5E3%7D%5Cdiv%5Cfrac%7B4a%5E5bc%5E3%7D%7B27a%5E3b%5E2c%7D)
![\frac{24a^2b^3c}{9bc^3}*\frac{27a^3b^2c}{4a^5bc^3}](https://tex.z-dn.net/?f=%5Cfrac%7B24a%5E2b%5E3c%7D%7B9bc%5E3%7D%2A%5Cfrac%7B27a%5E3b%5E2c%7D%7B4a%5E5bc%5E3%7D)
![a: (a^2 * a^3)/(a^5) = 1\\b: (b^3 *b^2)/(b*b) = b^3\\c: (c*c)/(c^3*c^3)= 1/(c^4)\\(24*27)/(9*4)= 18](https://tex.z-dn.net/?f=a%3A%20%28a%5E2%20%2A%20a%5E3%29%2F%28a%5E5%29%20%3D%201%5C%5Cb%3A%20%28b%5E3%20%2Ab%5E2%29%2F%28b%2Ab%29%20%3D%20b%5E3%5C%5Cc%3A%20%28c%2Ac%29%2F%28c%5E3%2Ac%5E3%29%3D%201%2F%28c%5E4%29%5C%5C%2824%2A27%29%2F%289%2A4%29%3D%2018)
![\frac{18b^3}{c^4}](https://tex.z-dn.net/?f=%5Cfrac%7B18b%5E3%7D%7Bc%5E4%7D)
Th z-score is given by:
z=(x-μ)/σ
where:
μ-mean
σ-standard deviation
hence:
z=(240-200)/20
z=2
Annual Rate = 16% = 16/100 = 0.16
Monthly Rate = (annual rate)/12
Monthly Rate = (0.16)/12
Monthly Rate = 0.01333 ... this is approximate
Finance Charge = (Monthly Rate)*(Previous Balance)
Finance Charge = (0.01333)*(179.32)
Finance Charge = 2.3903356
Finance Charge = 2.39
The purchases and payments do not factor in the finance charge since they are made during this current billing cycle. The previous balance method only looks at the balance at the end of the previous cycle.
Once the finance charge is calculated, we add on the new purchases and the finance charge to the old balance. We also subtract off the payments/credits. Doing all this calculates the new balance for this billing cycle.
New Balance = (Old balance) + (Purchases) + (Finance Charge) - (Payment)
New Balance = 179.32 + 117.42 + 2.39 - 85
New Balance = 214.13
In summary,
Finance Charge = $2.39
New Balance = $214.13