Answer:
- $17,500 at 8%
- $17,500 at 14%
Step-by-step explanation:
The fraction that needs to be invested at the higher rate is ...
(11% - 8%)/(14% -8%) = 3%/6% = 1/2
Half the money should be invested at each of the rates:
$17,500 for 8% return
$17,500 for 14% return.
_____
If you let x represent the amount at the higher rate, then the total return is ...
14%x + 8%(35000 -x) = 11%(35000)
(14% -8%)x = (11% -8%)(35000) . . . . subtract 8%·35000
x = (11% -8%)/(14% -8%)×35000 . . . . divide by the coefficient of x
Note that this formula is exactly the one we started with, above.
16 to 18 simplifies down to 8 to 9 because you divide 2 to both terms
24 to 27 simplifies down to 8 to 9 because you divide 3 to both terms
So yes
A
Answer:
B
Step-by-step explanation:
The wording in the problem statement is ...
... "less than 3 years"
... "at least 3. but less than 6 years"
so we expect the inequality symbols to look like ...
... 0 ≤ x < 3
... 3 ≤ x < 6
These match <em>the second piecewise function</em>.
Answer:
La familia de Gonzalo ha despilfarrado 15,768 litros de agua.
Step-by-step explanation:
Dado que Gonzalo observa que el grifo del lavabo gotea luego de un año, y el goteo se produce una velocidad de una gota por segundo y cada gota contiene 0.5ml de agua, para determinar cuántos litros de agua ha despilfarrado la familia de Gonzalo desde que ellos se dieron cuenta de la avería se debe realizar el siguiente cálculo:
1 año = 365 dias x 24 horas x 60 minutos x 60 segundos
0.5 x 60 x 60 x 24 x 365 = X
30 x 60 x 24 x 365 = X
1800 x 24 x 365 = X
43,200 x 365 = X
15,768,000 = X
15,768,000 / 1000 = X
15,768 = X
Por lo tanto, la familia de Gonzalo ha despilfarrado 15,768 litros de agua.
Answer:
They are both right angles and they both have a measure of 28°.
Step-by-step explanation:
angle A and angle B are both right angles (90°), and they both have a side measuring 28°. For the missing sides of both the measurement should be 62°.
