Simple interest rate is given by:
I=(PRT)/100
let the amount invested in 5% S.I. be $x and amount invested in 6% S.I. be $(8000-x)
Interest obtained from 5% will be:
I=5/100×1×x=0.05x
Interest obtained from 6% will be:
I=6/100×1×(8000-x)=0.06(8000-x)
therefore total interest earned from the to schemes will be:
0.05x+0.06(8000-x)=438
solving for x we obtain:
0.05x+480-0.06x=438
0.05x-0.06x=438-480
-0.01x=-42
x=-42/(-0.01)
x=$4200
hence amount invested in 5% S.I. is $4200 and amount invested in 6% S.I. is (8000-4200)=$3800
Equations with Independent and Dependent Variables
Common Core Standard: Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation.
Dependent variable – is a variable that changes because of the other variable or depends on the other variable
Independent variable –is a variable that is not impacted by other variables
Dependent and independent variables are very common in the real world
Example: Most coaches will say that the longer a player practices a sport the better the player will be at the sport.
o The dependent variable is the player’s ability, as it relies on the length of a practice
o The independent variable is the number of hours the player practices, because the player’s ability does not
impact the amount of time the player practice
Well u first have to eat a subway italian but it's is bomb
Step-by-step explanation:
1. 90+65= 155°
2. π+ π/6 = 7π/6 or 210°
3. 24+180=204°
4. 3π/2 + 2π/9 = (27π+4π)/18 = 31π/18
or 310°
Answer:
∠AB=9
Step-by-step explanation:
<em>the pyagrothyes therom= </em>
<em>+</em>
<em>=</em>
<em>to find ∠AB we need to find the height of the triangle.</em>
<em>replace the variables:</em>
<em>+</em>
<em>=</em>
<em>=</em>
<em>-</em>
<em>=</em>
<em>simplify:</em>
<em>81-36=</em>
<em>now we solve for ∠AB</em>
<em>replace the variables:</em>
<em>+</em>
<em>=</em>
<em>simplify:</em>
<em>36+45=</em>
<em>=9</em>
I hope this helps you!!
have a nice day!!