Answer:

Step-by-step explanation:
To find what number 96 is 44% of is we can use the formula:

Just substitute 94 and 44 into the equation:


Or rounded,

Answer:
Step-by-step explanation:
The slope of the line between two points can be found with the following equation:

Plugging in the points
and
from the problem statement, we get the following:



Answer:
2nd Account has $19,000
1st Account has $42,000
Step-by-step explanation:
First let's split the money invested.
x is money in account 1
y is money in account 2
1st equation
<u>$61,000=x+y</u>
5%=0.05
7%=0.07
2nd equation
<u>0.05*x+0.07*y=$3,430</u>
x=61,000-y
substitute into 2nd equation
0.05(61,000-y)+0.07y=3430
Solve.
3050-0.05y+0.07y=3430
0.02y=3430-3050
0.02y=380
y=380/0.02
y=$19,000
There are 2(two) ways to solve for the 1st account, but I will do it the long way.
y=61,000-x
substitute into 2nd equation
0.07(61,000-x)+0.05x=3430
Solve.
4270-0.07x+0.05x=3430
-0.02x=3430-4270
-0.02x=-840
x=-840/-0.02
x=$42,000
The short way...
x=61,000-y
x=61,000-19,000
x=$42,000
Answer:
4 2/7
Step-by-step explanation:
- x * 9 4/5 = 42
- x * 49/5 = 42
- x = 42 : 49/5
- x = 42 * 5/49
- x = 30 /7
- x = 4 2/7
Answer:
24 units
Just add the distance that each is from the origin.
(-16, -16) is 16 away from 0, 0
(8, -16) is 8 away from origin
16 + 8 = 24
This only works because these two points` x-axis coordinates match. It doesn`t work with everything.