Answer:
Monthly deposit= $323.78
Step-by-step explanation:
Giving the following information:
Future Value (FV)= 12,000*0.7= $8,400
Number of periods (n)= 2*12= 24
<u>We weren't provided with the interest rate, suppose an annual interest rate of 8%.</u>
Interest rate= 0.08/12= 0.00067
<u>Now, to calculate the monthly deposit, we need to use the following formula:</u>
<u></u>
FV= {A*[(1+i)^n-1]}/i
A= monthly deposit
Isolating A:
A= (FV*i)/{[(1+i)^n]-1}
A= (8,400*0.0067) / [(1.0067^24) - 1]
A= $323.78
Answer:
B) 6/7x2 = 1 5/7
Step-by-step explanation:
6/7 (2)
= ( 6/7) (2/1)
= (6)(2)/(7)(1)
12/7 or 1 5/7
Answer:
1/5
Step-by-step explanation:
-5 - (-7) = 2
5 - (-5) = 10
2/10 ÷2
slope = 1/5
<span>Let b= speed of boat in still water
Let c= speed of current
Upstream
Speed is ; b-c
d u=(b-c)* t u
Downstream
speed is ; b+c
d d=(b+c)*t d
given:
d u=18
t u=3
d d=24
t d=2
------------------
(1) 18=(b-c)*3
(2) 24=(b+c)*2
and
(1) 18=3b-3c
(2) 24=2b+c
Multiply both sides of (1) by 2
Multiply both sides of (2) by 3
(1)
(2)
Add (1) and (2)
And, from (1),
18=3*9-3c
3c=27-18
3c=9
c=3
The speed of the boat in still water is 9 mi/hr
The speed of the current is 3 mi/hr
check:
(1) 18=(9-3)*3
(2) 24=(9+3)*2
and
(1) 18=16*3
18=18
(2) 24=24
</span>
Write them as system of equations:
x=length, y=width
2x+2y=86
4x+2y+22=166
when you solve, then x=length=7, y=width=36