Let x represent the amount of money he invested at 11% and y money he invested at 12%. Now we write system of equations:
x*1.11 + y*1.12 = 70 000 + 7900
x + y = 70 000
We will multiply second equation with 1.11
x*1.11 + y*1.11 = 77700
and subtract if from first:
0.01*y = 200
y = 20000
x = 70000 - 20000 = 50000
Step-by-step explanation:
Whenever we put a negative number inside a modulus function it will give us the positive output. For example , |-3| = 3 , |-6|=6, |5|= 5 ,etc.
So a modulus function i.e. |x| is always greater than zero ( positive ) when x is any number except 0 and it is equal to zero when the value of x is 0.
So |x| can't be less than -4 as |x| is always positive . So the statement is false.
Answer:
<u>Mika estimated the sum to be 216; the actual sum is 216.27.</u>
Step-by-step explanation:
Let's find the rounded sum and the actual sum, as follows:
Rounding each number to the nearest whole:
189.27 ⇒ 189
15.8 ⇒ 16
11.2 ⇒ 11
Sum = 189 + 16 + 11
Sum = 216
Actual sum:
Actual sum = 189.27 + 15.8 + 11.2
Actual sum = 216.27
<u>Mika estimated the sum to be 216; the actual sum is 216.27.</u>
The metric table goes millimeters, centimeters, decimeters, meters, dekameters, hectometers, kilometers. To move up the table, move the decimal point one to the left. If you wanted to change it to centimeters, the answer would be 8,340,000. In kilometers, this is 83.4 kilometers. Hope this helps!