The amount invested is $ 470
<h3><u>Solution:</u></h3>
Given that , we have earned $131.60 as simple interest for an amount deposit at the rate of 4% for seven years.
We have to find the amount invested. That is, we need to find the principal sum
Let us use the simple interest formula
<em><u>The simple interest is given as:</u></em>
Here, simple interest = $ 131.60
Rate of interest = 4 %
Number of years = 7
principal = ?
Substituting the values in formula, we get
Thus the amount invested is $ 470
The algebraic factor is the multiplication term that can be common to the whole equation thus the factorization form of 3n²+5n+2=0 will be (n + 1)(3n + 2) = 0.
<h3>What is an algebraic factor?</h3>
An algebraic factor is the multiplication of two algebraic terms.
The root of the quadratic equation formed by the algebraic factor is always real.
That term could be in form of summation multiplication or in subtraction.
As per the given quadratic equation,
3n²+5n+2=0
Let's 5n = 2n + 3n
3n²+ (3n + 2n) + 2 = 0
3n² + 3n + 2n + 2 = 0
(3n² + 3n) + (2n + 2) = 0
3n(n + 1) + 2(n + 1) = 0
(n + 1 )(3n + 2) = 0
Hence "The algebraic factor is the multiplication term that can be common to the whole equation thus the factorization form of 3n²+5n+2=0 will be (n + 1)(3n + 2) = 0".
For more about the algebraic factor,
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Answer:
18 kilograms of drink A and 6 kilograms of drink B
Step-by-step explanation:
Let x equal the amount of Drink A
.04x + .08(24-x) = .05(24) Multiply through by 100 to clear the decimal
4x + 8(24-x) = 5(24)
4x + 192 - 8x = 120 Combine like terms
-4x + 192 = 120 Subtract 192 from both sides
-4x = -72 Divide both sides by -4
x = 18 This is the number of kilograms for drink A.
24-18= 6. This is the amount for Drink B
Answer:
B.70
Step-by-step explanation:
For one or two angles are complementary angle(s), they have to equal 90°.
So, we need to find the larger angle, but what about the other?
Let x be the other angle and y be the angle we are looking for
x + y = 90
Lets look for x first, since one angle is ten less than four times the angle we are looking for or visa versa, we must:
y = 4x - 10
For an exchange, lets take out the y variable for another x variable:
So now we should have x + 4x - 10 = 90
Combine like terms and do cross equation :
x + 4x -10 = 90
5x - 10 = 90
Add 10 to both sides:
5x = 100
100/5 = 20
So <u><em>x=20</em></u>
<u><em></em></u>
Now for y which is what we are looking for,
y = 4x - 10
Since x is 20, plug it in
y = 80 - 10
y=70 is our larger angle
