<span> -4 < y < 9/4 would be the answer
</span>
Answer:
<em>150 miles</em>
Step-by-step explanation:
Given the scale on the map using the conversion factor
1 inch = 50 miles
We are to find the equivalent miles between the cities in miles if the distace is 3inches
3inches = x
Divide both expressions
1/3 = 50/x
Cross multiply
x = 3 * 50
x = 150
<em>Hence the actual distance between these two cities in miles is 150 miles </em>
Answer:
Over a 22 seconds, the altitude will be: 924 feet
Step-by-step explanation:
- Let 'x' be the time in seconds
As the altitude of an airplane is decreasing at a rate of 42 ft per second.
Thus, the expression to find the altitude at x seconds is:
y = 42x
so at x = 1 sec, y = 42 feet
Now, putting x = 22 seconds to determine the altitude at 22 seconds
y = 42x
= 42(22)
= 924 feet
Thus, over a 22 seconds, the altitude will be: 924 feet
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
