Answer:
369
Step-by-step explanation:
g(f(x)) simply means to put the whole expression of function f(x) into the place of "x" in g(x).
and to find the functional value for a specific x we just need to calculate functional value for f(x) and use that result as input for g(x).
f(6) = 8×6 + 5 = 48 + 5 = 53
and now
g(53) = 7×53 - 2 = 371 - 2 = 369
to check we do the general functional substitution :
g(f(x)) = 7×(8x+5) - 2 = 56x + 35 - 2 = 56x + 33
g(f(6)) = 56×6 + 33 = 336 + 33 = 369
correct
Answer:
B.
Step-by-step explanation:
y = x^2 - x - 12
y = (x-4)×(x+3) that means x it either 4 or -3
y = x + 3
for x = 4 ➡ y = 3+4 ➡7
for x = -3 ➡ y = -3 + 3➡0
(the answer key is most probably faulty there's no way for y to be 0 in both scenarios)
Answer:
A. $29,045.68
B. $28,981.85
C. Compound daily applies interest everyday over a period of 365 days in a year. Compound annually only applies the 3% interest once a year.
Step-by-step explanation:
3% compounded daily:
A = P(1 + r/n)^nt
= 25000(1 +
)^365(5)
= 25000(1.00008219)¹⁸²⁵
= 25000(1.161827)
= 29045.6770
3% compounded annually:
A = P(1 + r/n)^nt
= 25000(1 +
)^1(5)
= 25000(1.03)⁵
= 25000(1.159274)
= 28981.8518
All angles are congruent to its corresponding part. While all segments are similar to its corresponding part