To figure out what expression we can write to represent the situation, we need to turn the word problem into mathematical functions.
The word "more" means we are adding. The word "times" means we are multiplying.
So the expression should be 4x+10 where x represents the minutes Brianna spent studied.
<span>0.03x+20=0.07x+5 original equation
</span>0.03x+20-0.03x=0.07x+5-0.03x <span>subtract 0.03x from both sides to combine like terms
</span>20=0.04x+5
20-5=0.04x+5-5 subtract 5 from both sides
15 = 0.04x
15/0.04 = 0.04x/0.04 divide both sies by 0.04 to get x alone.
375 = x <-------WOOOOOO! theres the answer!
9514 1404 393
Answer:
y = 2200(1.08^t)
Step-by-step explanation:
The interest earned the first year is ...
(2376 -2200)/2200 = 0.08 = 8%
The balances the remaining years are consistent with that interest being compounded annually. An appropriate function is ...
y = 2200(1.08^t)
_____
The compound interest formula is ...
A = P(1 +r/n)^(nt) . . . . principal P earning rate r compounded n times per year for t years
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Answer:
Correct option: B -> 36
Step-by-step explanation:
The surface area of a circular cone is given by the formula:
Surface area = pi * radius * (radius + slant height)
If the inicial radius is 4 in and the slant height is 9 in, we have:
Surface area = pi * 4 * (4 + 9) = 52pi in2
The radius and the slant height are multiplied by 6, so we have:
radius = 6 * 4 = 24 in
slant height = 6 * 9 = 54 in
So the new surface area is:
New surface area = pi * 24 * (24 + 54) = 1872pi in2
The factor of the surface areas is:
New surface area / Surface area = 1872pi / 52pi = 36
Correct option: B
