Idk but it's 0.416667
cuz 25/60 equals so
Answer:
96 ft²
Step-by-step explanation:
The general formula for the surface area of a pyramid is:
SA =
pl + B, were p = the perimeter of the base, l = the slant height and B = the area of the base
Since the area of the base is 36 ft², then each side is √36, or 6 ft. The perimeter is the sum of all the sides, so 6 x 4 = 24 ft.
Given the overall height of the pyramid is 4 feet, you can use the Pythagorean Theorem (a² + b² = c²) to find the slant height (hypotenuse) of the pyramid. Using 3 feet for 'a' and 4 feet for 'b':
3² + 4² = c² or 9 + 16 = 25
25 = c² or c = 5
SA =
(24)(5) + 36
SA = 60 + 36 = 96 ft²
well, we're assuming all along that Merina owes Bradford $2000, because in the 1st scenario, she was going to pay twice $1000.
on the 2nd scenario, she'll be paying the same $2000 but split 7 months from now and then 7 months later, same 2000 bucks, at which point Bradford applied 8.5% interest.
using those assumptions, since the wording is not quite clear, we can say that Merina is simply paying 2000 bucks plus the 8.5%
![\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{8.5\% of 2000}}{\left( \cfrac{8.5}{100} \right)2000}\implies 170 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{\stackrel{principal}{2000}~~ + ~~\stackrel{interest}{170}}{2}\implies \stackrel{\textit{two equal payments of}}{1085}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7B%7Cc%7Cll%7D%20%5Ccline%7B1-1%7D%20%5Ctextit%7Ba%5C%25%20of%20b%7D%5C%5C%20%5Ccline%7B1-1%7D%20%5C%5C%20%5Cleft%28%20%5Ccfrac%7Ba%7D%7B100%7D%20%5Cright%29%5Ccdot%20b%20%5C%5C%5C%5C%20%5Ccline%7B1-1%7D%20%5Cend%7Barray%7D~%5Chspace%7B5em%7D%5Cstackrel%7B%5Ctextit%7B8.5%5C%25%20of%202000%7D%7D%7B%5Cleft%28%20%5Ccfrac%7B8.5%7D%7B100%7D%20%5Cright%292000%7D%5Cimplies%20170%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ccfrac%7B%5Cstackrel%7Bprincipal%7D%7B2000%7D~~%20%2B%20~~%5Cstackrel%7Binterest%7D%7B170%7D%7D%7B2%7D%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Btwo%20equal%20payments%20of%7D%7D%7B1085%7D)
Answer:
Step-by-step explanation:
6x - 2y = -4
y= 3x + 2
We see that y = 3x + 2 so we can use that value of Y everytime we see i in the other equation.
6x - 2(3x +2) = -4
Now usually we'd we simply solve for X.
6x - 6x -4 = -4
This clearly does not work as we cannot get rid of X
Therefore, this system of equations has no solution we can find through substitution
Answer:
f(t) = 5×0.87^t
Step-by-step explanation:
The general form for an exponential function described in this fashion is ...
... f(t) = (starting value) × (1 + (percent change))^t
Here, the "percent change" is -13%, or -0.13.
Then the value (1 + percent change) is (1 + (-0.13)) = 0.87. Putting this and the starting value into the form above, we have ...
... f(t) = 5 × 0.87^t