Y=mx+c since its at constant rate
at (30,2)
30=m2+c-----(1)
at(12,3)
12=m3+c-----(2)
by multiplying (2)by 2.5,
30=7.5m+2.5c-----(3)
by comparing (1) and (3)
2m+c=7.5m+2.5c
5.5m+1.5c=0
5.5m=-1.5c
m=-1.5/5.5c----(4)
sub 4 into 1,
-6/11c+c=30
c=66
m=-1.5/5.5*66=-18
Equation : y=-18x+66
u can try substituting back 2min and 3 mins to verify it works
Answer:
$32.13
Step-by-step explanation:
Initial price = $36.00
Less 15 % = 0.15 × 36 = <u> -5.40
</u>
Sale price = $30.60
Plus 5 % = 0.05 × 30.60 = <u> 1.53
</u>
Amount paid = $32.13
Answer:
The present value of the fund=$25,939.66
Step-by-step explanation:
Step 1
Determine the future value of the fund as shown;
Future value(F.V)=payment amounts per year×number of years
where;
payment amounts per year=$10,000
number of years=6
replacing;
Future value (F.V)=(10,000×6)=60,000
Future value (F.V)=$60,000
Step 2
Determine the present value (P.V) of the fund as shown;
F.V=P.V(1+r)^n
where;
F.V=future value
P.V=present value
r=annual interest rate
n=number of years
In our case;
F.V=$60,000
P.V=unknown
r=15%=15/100=0.15
n=6
replacing;
60,000=P.V(1+0.15)^6
60,000=P.V(1.15)^6
P.V=60,000/{(1.15)^6}
P.V=25,939.66
The present value of the fund=$25,939.66
The answer is 78.
54/9 = 6
6x4 = 24
54+24 =78
Answer: x-intercept = -1, 1, 2, 3