Answer:
percent of paint cost: 24.45%
percent of hardware cost: 8.14%
total percent of paint and hardware cost: 32.59%
Step-by-step explanation:
Add the cost of the lumber, the paint and the hardware:
![total\ cost=\$145.86+\$52.91+\$17.63\\total\ cost=\$216.4](https://tex.z-dn.net/?f=total%5C%20cost%3D%5C%24145.86%2B%5C%2452.91%2B%5C%2417.63%5C%5Ctotal%5C%20cost%3D%5C%24216.4)
If $216.4 is the total cost of the supplies bought by the theater group to construct the set of a play, then the percent of the cost of the paint is:
![\%paint\ cost=\frac{52.91*100}{216.4}=24.45\%](https://tex.z-dn.net/?f=%5C%25paint%5C%20cost%3D%5Cfrac%7B52.91%2A100%7D%7B216.4%7D%3D24.45%5C%25)
And the percent of the cost of the hardware is:
![\%hardware\ cost=\frac{17.63*100}{216.4}=8.14\%](https://tex.z-dn.net/?f=%5C%25hardware%5C%20cost%3D%5Cfrac%7B17.63%2A100%7D%7B216.4%7D%3D8.14%5C%25)
And the total percent of paint cost and hardware cost is:
![=\%24.45+\%8.14=\%32.59](https://tex.z-dn.net/?f=%3D%5C%2524.45%2B%5C%258.14%3D%5C%2532.59)
Answer:
Monthly payment = $908.99
(A) $125,862.32
Step-by-step explanation:
Given:
Present value = $150,000
Duration, n = 30 years = 30 × 12 = 360 months
Interest = 6.1% compounded monthly
or
Monthly interest, r =
= 0.5083%
Now,
Monthly payments can be calculated using the formula
![\textup{Present value}=\textup{Monthy payment}\times(\frac{1-(1+r)^{-n}}{r})](https://tex.z-dn.net/?f=%5Ctextup%7BPresent%20value%7D%3D%5Ctextup%7BMonthy%20payment%7D%5Ctimes%28%5Cfrac%7B1-%281%2Br%29%5E%7B-n%7D%7D%7Br%7D%29)
thus,
![\$\textup{150,000}=\textup{Monthy payment}\times(\frac{1-(1+0.005083)^{-360}}{0.005083})](https://tex.z-dn.net/?f=%5C%24%5Ctextup%7B150%2C000%7D%3D%5Ctextup%7BMonthy%20payment%7D%5Ctimes%28%5Cfrac%7B1-%281%2B0.005083%29%5E%7B-360%7D%7D%7B0.005083%7D%29)
or
Monthly payment = $908.99
(A) unpaid balance after 10 years will be equal to the payment made in 20 years starting from the end of 10th year
thus,
n = 20 × 12 = 240
Unpaid balance = ![\textup{Monthy payment}\times(\frac{1-(1+r)^{-n}}{r})](https://tex.z-dn.net/?f=%5Ctextup%7BMonthy%20payment%7D%5Ctimes%28%5Cfrac%7B1-%281%2Br%29%5E%7B-n%7D%7D%7Br%7D%29)
or
Unpaid balance = ![\textup{908.99}\times(\frac{1-(1+0.005083)^{-240}}{0.005083})](https://tex.z-dn.net/?f=%5Ctextup%7B908.99%7D%5Ctimes%28%5Cfrac%7B1-%281%2B0.005083%29%5E%7B-240%7D%7D%7B0.005083%7D%29)
or
Unpaid balance after 10 years = $125,862.32
Answer:
number of fourths in 3, 3÷ 1/4
Step-by-step explanation:
It shows 3 split up into fourths, 3÷ 1/4 equals 12 which is the amount of sections there are