Answer:
He invested <u>$117,000</u> at 5% interests and 3*117,000 + 23000 = <u>$374,000</u> at 6% interests
Step-by-step explanation:
Let's call x to the some money at 5% simple interest the actor invest. Then, he invested 3x + 23000 dollars at 6% simple interest.
At 5% simple interest, after one year he earned the following interests:
I = P*r*t
I = x*0.05
At 6% simple interest, after one year he earned the following interests:
I = (3x + 23000)*0.06 = 0.18x + 1380
The total annual interest earned from the investment is $28,290, then:
0.05x + 0.18x + 1380 = 28290
x = (28290 - 1380)/0.23
x = $117,000
Answer:
20*F
Step-by-step explanation:
4pm=34*
6pm=30.5*
8pm=27*
10pm=23.5*
12pm=20*
(Subtract 3.5* for every two hours)
Answer:
y=0
Step-by-step explanation:
Answer:
Yes it does change, by 32 cm
Step-by-step explanation:
The new shape has the whole circle and two lines each the same size as the radius; therefore, it increases by 2r
2(16) = 32 cm
Answer:
-2 < x < 4/3
Step-by-step explanation:
A graphing calculator can show you the solution. I like to recast the equation as a comparison to zero, since a graphing calculator often can display zeros of a function easily. Here that means ...
|6x +2| -10 < 0
___
If you want to solve this by hand, you can "unfold" the absolute value to get ...
-10 < 6x +2 < 10
-12 < 6x < 8 . . . . . . subtract 2
-12/6 < x < 8/6 . . . . divide by 6
-2 < x < 4/3 . . . . . . simplify
This graphs on the number line as a solid line between open circles at -2 and 4/3. On the attached graph, the boundary values are shown as dotted blue lines, and the solution space is shown in blue.