Answer:
58 in^2.
Step-by-step explanation:
This is the sum of the area of 4 small rectangles + the area of the 2 larger rectangles
= 2*4*1 + 2*5*1 + 2*4*5
= 8 + 10 + 40
= 58 in^2
C. a and c, b and d
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We are given:
The time t required to drive a certain distance varies inversely with the speed r.
According to the question t is inversely proportional to speed(r).
let us say distance (d) is constant of proportionality,
So the equation becomes,
Now from the question, we are given it takes 2 hours to drive the distance at 67 miles per hour, so plugging these in the above equation,
d=134 miles.
Now we have to find how long will it take to drive the same distance that is 134 miles at 55 miles per hour
so plugging the values, we have,
t=2.436
So the time taken will be around 2.5 hours.
Answer : It will take about 2.5 hours to drive the same distance at 55 miles per hour. Option C. About 2.5 hours.
7. 4x+y=8 ----- first equation
(+)
-3x-y=0
_______
x = 8 ---- second equation
substitude second equation into first equation
4(8) + y = 8
32 + y = 8
y = 24
8. 2x+5y=20 ---- first equation
(-)
2x-5y =3
________
10y = 17
y = 17/10 ---- second equation
substitude second equation into first equation
2x + 5(17/10) = 20
2x + 17/2 = 20
4x + 17 = 40
4x = 23
x = 23/4
9. 3x+2y=-10 (×2) ---- first equation
2x-5y=3 (×3)
6x + 4y = - 20
(-)
6x - 15y = 9
___________
19y = - 29
y = - 29/19 ---- second equation
substitude second equation into first equation
3x + 2(-29/19) = - 10
3x - 58/19 = - 10
3x = - 132/19
x = - 44/19
Answer:
a= $54764.26
Step-by-step explanation:
r=R/100
r=4.5/100
r=0.045 rate per year
A = P(1 + r/n)nt
A = 10,000.00(1 + 0.045/4)(4)(38)
A = 10,000.00(1 + 0.01125)(152)
A = $54,764.26
