Answer:
So the portion of the loan lent at 4% is 21000(0.5955) = $12,505.5
And the portion of the loan lent at 15% is 21000(0.4045) = $8494.5
Step-by-step explanation:
This problem can be solved in several ways. The way I like is as follows.
Ask yourself at what interest would $ 21,000 yield and interest of $ 2,215 in one year ? The equation to solve is:
21000(P) = 2215
P = 0.1055 or 10.55 %
This number is a weighed average of the 4% yield and the 15% yield so the next equation to solve is
10.55 = 4(1 – X) + 15X
Where X is the proportion of the loan given at the indicated interest. So
10.55 = 4 – 4X + 15X
6.55 = 11X
X = 0.5955
1-X = 0.4045
So the portion of the loan lent at 4% is 21000(0.5955) = $12,505.5
And the portion of the loan lent at 15% is 21000(0.4045) = $8494.5
Answer:
x = 1 or x = -5
Step-by-step explanation:
We are given;
- The quadratic equation, x² + 4x - 13 = -8
We are required to solve the equation using the completing square method.
To do this, we use the following steps;
Step 1: We make sure the coefficient of x² is one
x² + 4x - 13 = -8
Step 2: Combine the like terms (take the constant term to the other side)
x² + 4x - 13 = -8
x² + 4x = -8 + 13
we get
x² + 4x = 5
Step 3: We add the square of half the coefficient of x on both sides of the equation
Coefficient of x = 4
Half of coefficient of x = 2
Square of half the coefficient of x = 2² (4)
We get;
x² + 4x + (2²) = 5 + (2²)
Step 4: Put x and 2 under one square and the solve the other side of the equation.
We get
(x + 2)² = 5 + 4
(x + 2)² = 9
Step 5: Get the square root on both sides of the equation;
(x + 2)² = 9
√(x + 2)² = ±√9
(x + 2)= ±3
Therefore;
x+2 = + 3 or x + 2 = -3
Thus, x = 1 or -5
The solution of the equation is x = 1 or x = -5
Answer:Answer:8900274878944444442790579275839469827389,0000008888887984578145
Step-by-step explanation: If you divide and multiply stuff you get 859889568954 then you multiply 265564882398758455 by 2336935 and get 827598273948798277869000758672837409722894772983466023408927398578423364590985237777777779
Step-by-step explanation:
17.5% of 50 = 0.175×50 = 8.75
= 8 3/4
= 35/4
Answer:
Step-by-step explanation:
93 + (68 + 7)= 168
