Answer:
the value of the home after 12 years =$275,165.60
Step-by-step explanation:
To find value of appreciation after 12 years
We apply exponential growth formula
Where a represents the initial amount (purchased amount)
a= 182,100
r = rate of interest ( appreciation percentage) = 3.5% = 0.035
x represents the time period= 12 years
Plug in all the values
y= 275165.6025027724
y=$275165.60
Answer:
A. LCM=72 B. GCF=7 C. 7(5+9)
Step-by-step explanation:
A. 8/2=4/2=2 9/3=3 Use the denominators to find the LCM. In this case, the LCM is 72.
B. 35/5=7 63/3=21/3=7 The GCF for these numbers is 7 because it is the only factor that they have in common.
C. 7 x 14=88 Since 5 and 9 don't have common factors, they work perfectly for this problem.
The 7 miles and 24 miles make up two "legs" of a right triangle.
The third side (or hypotenuse) is the distance between the towns.
distance^2 = 7^2 + 24^2
distance^2 = 49 + 576
distance^2 = 625
distance = square root of 625 or 25
Answer: He actually rode 2 miles per hour on his trip
Step-by-step explanation: Maybe unconventional, but express the time it took, then figure the speed.
Time = distance /speed t will represent time, s is the speed: t = 30/s Use the rime it would have taken at the higher speed to create an equation:
t-12 = 30/s+8 replace the y with the 30/s
30/s -12 = 30/s+8
(s)(30/s -12 ) = (s)(30/s+8 ) Cross multiply to cancel denominators
(s-8)(30 -12s) = (s-8)(30s/s+8 ) ==> 30s +240 -12s² -96s =30s Simplify:
(-1)(-12s² -96s +240 ) =0 ==> 12s² +96s -240 divide all by 12
s² + 8s -20 = 0 Factor and solve for s
(s +10)(s -2) =0 s-2=0 S= 2
Proof:
30/2 = 15 hours for original trip at 2mph,
increase speed by 8mph 2 + 8 = 10mph
30 miles at 10mph takes 3 hours; that is 12 hours less than his actual trip.
(Brainilest, please :-)
Answer:
140/56= 2,5$ every hot dog
175/2,5=70 hot dogs
70-56=14 more hot dogs to earn 175$
Step-by-step explanation:
