Answer:
8 ejercicios
Step-by-step explanation:
De acuerdo a la información dada, puedes plantear las siguientes ecuaciones:
x+y= 45 (1)
7x-1y= 19 (2)
x= ejercicios que resolvió bien
y= ejercicios que resolvió mal
Primero, puedes despejar x en (1):
x= 45-y (3)
Segundo, debes reemplazar (3) en (2):
7(45-y)-1y=19
315-7y-1y= 19
315-8y= 19
315-19= 8y
296= 8y
y= 296/8
y= 37
Tercero, debes reemplazar el valor de y en (3) para encontrar x:
x= 45-37
x= 8
De acuerdo a esto, la respuesta es que el hijo ha resuelto bien 8 ejercicios.
A function assigns the values. The number of people that were recruited in year 6 is 192.
<h3>What is a Function?</h3>
A function assigns the value of each element of one set to the other specific element of another set.
Given that the number of people per year is represented by the function 
.
In the given function, t represents the number of years.
Now, the number of people that were recruited in year 6 can be calculated by putting the value of t as 6 in the given function,
f(6) = 3(2)⁶
= 3(64)
= 192
Hence, the number of people that were recruited in year 6 is 192.
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The equation of the line is y = -11x + 232
<h3>How to determine the equation?</h3>
The given parameters are:
Slope (m)= -11
Point (x1, y1) = (31, -109)
The linear equation is then calculated as:
y = m(x - x1) + y1
This gives
y = -11(x - 31) - 109
Evaluate the product
y = -11x + 341 - 109
Evaluate the like terms
y = -11x + 232
Hence, the equation of the line is y = -11x + 232
Read more about linear equations at:
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Answer:
Step-by-step explanation:
First substitue the coordinates to the equation so
x=9, y=2
you would get
2=-3/7(9) + b
we put b because we are trying to find the new slope
multiply the two numbers above
2=-3/6/7 + b
subtract the whole number from both sides
b= 5/6/7
in equation would be
y= -3/7 + 5/6/7
Let me know if there is an error.
Answer:
NPV = $13,676.33
Step-by-step explanation:
First, find the present value of the cash inflows. You can solve this question using a Financial calculator;
14,000 per year is a recurring cashflow hence the PMT
PMT = 14,000
I/Y = 10%
N= 9
FV =0
then CPT PV = 80,626.33
NPV = -Initial investment + PV of future cash inflows
NPV = -66,950 + 80,626.33
NPV = $13,676.33
"NPV" button, then , then "CPT".
The answer to the NPV = $13,676.33
