B = boys g = girls
.................................
b + g = 195 b = 195 - g
<u>b</u> = <u>8</u>
g 7
Substitute b for 195 - g in the 2nd equation:
<u>b</u> = <u>8</u>
g 7
<u>195 - g</u> = <u>8</u>
g 7
Cross Multiply
8g = 7 . ( 195 - g )
8g = 1365 - 7g
8g + 7g = 1365
15g = 1365
g = <u>1365</u>
15
g = 91
Substitute g for 91 in one of the equations:
b + g = 195
b + 91 = 195
b = 195 - 91
b = 104
S = 104 boys.
THE SURFACE AREA IS 3220CM^2
A=P (1+r/n)^nt
A= Total amount invested, P=principal amount, r=Interest rate, n=number of time in a year when the interest is earned (for annual, n=1; for semi-annual, n=2, ...), t = time in years
In the current scenario, case 1, n=2; case 2, n=1 and A1=A2, t1=t2
Therefore,
800(1+0.0698/2)^2t = 1000(1+0.0543/1)t
Dividing by 800 on both sides;
(1+0.0349)^2t = 1.25(1+0.02715)^t
(1.0349)^2t = 1.25(1.02715)^t
Taking ln on both sides of the above equation;
2t*ln (1.0349)= ln 1.25 + t*ln (1.02715)
2t*0.0343 = 0.2231+ t*0.0268
0.0686 t = 0.2231+0.0268 t
(0.0686-0.0268)t = 0.2231
0.0418t=0.2231
t=5.337 years
Therefore, after 5.337 years or 5 years and approximately 4 months, their value of investments will be equal.
This value will be,
A=800(1+0.0698/2)^2*5.337 = $1,153.76
Remember that straight lines are 180°. For #1 angle 1 would be 40°, since 140°+40°=180°
Answer:
- 85 flashlights
- 17 sleeping bags
Step-by-step explanation:
One group of 5 flashlights and 1 sleeping bag will cost ...
$12×5 +45 = $105
The total cost of the order is $1785/$105 = 17 times that amount, so there were ...
17 sleeping bags ordered
17×5 = 85 flashlights ordered
