Answer:
10 years and 10 months.
Step-by-step explanation:
The annually interest rate (ia) can be converted by monthly (im) by the equation:
(1 + im)¹² = 1 + ia
(1 + im)¹² = 1 +0.01
(1 + im)¹² = 1.001 (putting ln in both sides)
ln(1 + im)¹² = ln1.001
12*ln(1 + im) = 1.0x10⁻³
ln(1 + im) = 8.33x10⁻⁵(applying "e in both sides)
1 + im = 1.00083
im = 0.00083 = 0.083%
For a investimenting, the final amount (A) can be calculated by:
Where R is the amount invested per month, i is the interest, and n the number of months:
160000 = 400 *
= 400
1.00083ⁿ - 1 = 0.332
1.00083ⁿ = 1.332 (applying ln in both sides)
n*ln1.00083 = ln1.332
8.3x10⁻⁴n = 0.2867
n = 345.4 months
345.4 months *1 yea12 months = 10 years and 10 months.
Resolviendo un sistema de ecuaciones, veremos que se vendieron 250 boletos de adulto.
<h3>¿Cuántos boletos de adulto fueron vendidos?</h3>
Definamos las variables:
- x = boletos de adulto vendidos.
- y = boletos de estudiantes vendidos.
Se vendieron un total de 430 boletos, entonces:
x + y = 430
Y se vendieron 70 boletos de estudiante menos que boletos de adulto:
y = x - 70
Tenemos el sistema de ecuaciones:
x + y = 430
y = x - 70
Para resolverlo, podemos reemplazar la segunda ecuación en la primera:
x + y = 430
x + (x - 70) = 430
2x = 430 + 70 = 500
x = 500/2 = 250
Se vendieron 250 boletos de adulto.
Sí quieres aprender más sobre sistemas de ecuaciones:
brainly.com/question/13729904
#SPJ1
Answer:
x = -4
Step-by-step explanation:
<u>Step 1: Subtract 2x from both sides</u>
2x - 2 - 2x = 4x + 6 - 2x
<em>-2 = 2x + 6</em>
<em />
<u>Step 2: Subtract 6 from both sides</u>
-2 - 6 = 2x + 6 - 6
<em>-8 = 2x</em>
<em />
<u>Step 3: Divide both sides by 2</u>
-8 / 2 = 2x / 2
<em>-4 = x</em>
<em />
Answer: x = -4
Answer:
<u>Final Answer: Statements 1, 2 and 4 are correct.</u>
Step-by-step explanation:
Finding value of y:
2y + 3 = 15 => 2y = 12 => y = 6;
Finding value of x:
6x + 5 = 77 => 6x = 72 => x = 12;
Statement Number 1:
y² > 2x ? => 6² > 2 * 12 ? => 36 > 24 ?
Yes, 36 is bigger than 24, therefore statement one is correct.
Statement 2:
x = 2y ? => 12 = 2 * 6? => 12 = 12?
Yes, 12 is equal to 12. Statement 2 is correct.
Statement 3:
x + 2 = y + 10 ? => 12 + 2 = 6 + 10? => 14 = 16?
No, 14 is not equal to 16. Statement 3 is incorrect.
Statement 4:
y + 4 > x - 4 ? => 6 + 4 > 12 - 4 ? => 10 > 8 ?
Yes, 10 is bigger than 8. Statement 4 is correct.
<em>If this helped you please rate </em>
<u>Final Answer: Statements 1, 2 and 4 are correct.</u>
<u />
<u />
Answer:
20,000,000
Step-by-step explanation:
An easy way of looking at this is just adding the non-zero digits, which in this case would be 1 and 1. After we do that, we just add the remaining amount of zeros that we did not sum:
1 + 1 = 2
Now we add 7 zeros:
20,000,000
Hope it helped,
BiologiaMagister
