Total amount of money invested - $11500
X +Y = $11500. ----------(1)
Total yearly interest for thetwo a/c is - $201
-0.03X + 0.04Y = $201
Form (1)
X = 11500 - Y
Substitute for X
-0.03(11500 - Y) + 0.04 Y = $201
-345 + 0.03Y + 0.04Y =201
0.07Y = 546
Y = 7800 at 4 %
Calculate X
X = 11500 - Y
= 11500 - 7800
=3700 at - 3%
Check
-0.03×3700 + 0.04 × 7800 = $201
-111 + 312 = $201
$201 = $201
Answer:
x = 17
Step-by-step explanation:
in such a constellation (two beams from the same point of origin cut through the same circle) the relative relation between the segments of these beams to the overall length of the beam have to be the same :
7 × (7+x) = 8 × (8+13)
49 + 7x = 8 × 21 = 168
7x = 119
x = 17
speed of the plane in still air is 76 m/s and speed of the wind is 28 m/s .
<u>Step-by-step explanation:</u>
Here we have , A plane traveled 1248 miles to Ft. Worth and back. The trip there was with the wind. It took 12 hours. The trip back was into the wind. The trip back took 24 hours. We need to find What is the speed of the plane in still air? What is the speed of the wind? Let's find out :
<u>For Going trip :</u>
Let speed of plane be u , and wind be v so : Speed = ( Distance ) / ( time )
⇒ 
⇒
...........(1)
<u>For Returning Trip :</u>
⇒ 
⇒
...........(2)
Adding both equations we get :
⇒ 
⇒ 
⇒ 
Putting this value in equation (1) we get :
⇒ 
⇒
Therefore , speed of the plane in still air is 76 m/s and speed of the wind is 28 m/s .
7*5=35
7(2)+ 5(2)= 24
The dimensions are 7 and 5 inches.
Option B. The balance will increase more and more each year, but it will not be linear. Unlike simple interest that tends to produce linear graphs; the returns when compounded can get very astronomical. The mathematics behind compound interest is "multiplication". Your funds get multiplied, not added or decreased and this is because the previous interest is accrued on the principal and the current interest. Unlike compound interest simple interest is linear, it increases (or decreases) steadily. As time goes on with simple interest, one's returns increases very steadily but this is unlike compound interest. So yes, Option B, the balance will increase more and more each year, but it will not be linear.