Answer:
X = 5
Step-by-step explanation:
(23x+1) = (27x-19)
23x-27x = -1 -19
-4x = -20
x = 5
Answer:
Juan invested $ 11,800 in Fund A and $ 7,200 in Fund B.
Step-by-step explanation:
Given that Juan invested $ 19000 in two mutual funds, and Fund A earned 7% profit during the first year, while Fund B earned 3% interest, if he received a total of $ 1042 profit, to determine how much she had invested in each mutual fund the following calculation must be performed:
19000 x 0.07 + 0 x 0.03 = 1330
15000 x 0.07 + 4000 x 0.03 = 1170
11000 x 0.07 + 8000 x 0.03 = 1010
11500 x 0.07 + 7500 x 0.03 = 1030
11800 x 0.07 + 7200 x 0.03 = 1042
Therefore, Juan invested $ 11,800 in Fund A and $ 7,200 in Fund B.
Answer:
M = 3
Step-by-step explanation:
Answer:
Part A: x^2 + 6x + 8 = 0 use the factoring the equation method
Part A: x^2 + 6x + 8 = 0 use the quadratic formula
Step-by-step explanation:
Part A;
The equation is x^2 + 6x + 8 = 0 , looking at this quadratic expression, you notice it is written in a quadratic equation standard form of ax^2+bx+c=0. Additionally, you notice that can find what multiplied to get the quadratic equation,factor.You can identify two numbers that multiply to get ac and add to give b.In this question;
a=1,b=6,c=8
ac=8
The numbers are 4 and 2. Factoring the equation method will give;
x²+6x+8=0
x²+4x+2x+8=0
x(x+4)+2(x+4)=0
(x+2)+(x+4)=x²+6x+8
x+2=0, x=-2 and x+4=0, x=-4
Part B
The quadratic equation is ;
x²+6x-11=0
You notice that there are no factors that multiply direct to get the quadratic equation like in part 1. When you observe, a=1, b=6 and c=-11
ac=1×-11=-11 and b=6 .You notice there are no factors that multiply to give -11 and add to get 6, hence the factorizing the equation method can not be used.However, you can apply the quadratic formula that requires coefficients. You have a=1, b=c and c=-11 as the coefficients to use in the quadratic formula.
14^2+48^2=x^2
196+2304=x^2
2500=x^2
x=50
hypotenuse equals 50
