Well first I would subtract 7 because the seven books aren’t in the cartons, which will give you 120. Then you divide by 10 to get 12, the amount of cartons
a = amount invested at 5%
b = amount invested at 2%
now, we know the total invested by Mr Wilson was 20000, so whatever "a" and "b" might be, we know that a + b = 20000.
![a + b = 20000\implies b = 20000-a \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{5\% of a}}{\left( \cfrac{5}{100} \right)a}\implies 0.05a~\hfill \stackrel{\textit{2\% of b}}{\left( \cfrac{2}{100} \right)a}\implies \begin{array}{llll} 0.02b\\\\ \stackrel{substituting}{0.02(20000-a)} \end{array}](https://tex.z-dn.net/?f=a%20%2B%20b%20%3D%2020000%5Cimplies%20b%20%3D%2020000-a%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7B5%5C%25%20of%20a%7D%7D%7B%5Cleft%28%20%5Ccfrac%7B5%7D%7B100%7D%20%5Cright%29a%7D%5Cimplies%200.05a~%5Chfill%20%5Cstackrel%7B%5Ctextit%7B2%5C%25%20of%20b%7D%7D%7B%5Cleft%28%20%5Ccfrac%7B2%7D%7B100%7D%20%5Cright%29a%7D%5Cimplies%20%5Cbegin%7Barray%7D%7Bllll%7D%200.02b%5C%5C%5C%5C%20%5Cstackrel%7Bsubstituting%7D%7B0.02%2820000-a%29%7D%20%5Cend%7Barray%7D)
now, we know the total of earned interest is 550 bucks, so then
1) 0.20%
2)$49.98×50% = $24.99
$49.98×30% = $14.99
$49.98-$14.99 = $34.99
$34.99×20% = $7.00
$34.99-$7.00 = $27.99
Answer:
<em>Functions evaluated at x = -1</em>
A. a(-1) = -2(-1) + 3 = 5
B. b(-1) = 0 (as per graph)
C. <u>Find the equation first:</u>
- m = 4/8 = 1/2
- c(x) = 1/2x - 4
- c(-1) = -1/2 - 4 = -4.5
D. d(-1) = (-1)² - 4 = -3
E. e(-1) = 2 (as per table)
F. f(-1) = 5/2 = 2.5 (as per graph)
G. g(-1) = 2(3)⁻¹ - 2 = 2/3 - 2 = - 1 1/3
H. h(-1) = 2 (as per table)
<u>The order:</u>
- C >> D >> G >> B >> E and H >> F >> A
Point Q is located in the 1st quadrant
point Q's coordinates are (5,7)
