Respuesta: " ¿Quién diría que una persona que no haya culminado sus estudios universitarios pudiera hablar más de diez idiomas, y además crear un idioma universal? "
Answer:
their hopes will come true
Step-by-step explanation:
Using the formula for calculating amount expressed as;
A = P(1+r)^t
Given
P = $15000
r = 9.6% = 0.096
t = 15years (18-3)
Substitute;
A = 15,000(1+0.096)^15
A = 15,000(1.096)^15
A = 15000(3.9551)
A = 59,326.6
As we can see, the money is even more than twice the original amount, this shows that their hopes will come true
Aₙ = 7n+4
n = 12 thus
a₁₂ = 7(12) + 4
<u>Answer-</u>
<em>$23377</em><em> must be deposited to get $68000 at the end of 30 years.</em>
<u>Solution-</u>
We know that for compound interest,

Where,
A = Future amount = $68,000
P = ??
r = 3.575% annual = 0.03575
n = 4 as interest is compounded quarterly
t = time in year = 30 years
Putting the values,




Therefore, $23377 must be deposited to get $68000 at the end of 30 years.
Answer:
V = 19.19 cubic units
None of the options are correct.
Step-by-step explanation:
Volume of a cone is given as;
V = ⅓πr²h
Now, we are given;
diameter = 4 units
Thus radius;r = diameter/2 = 4/2 = 2 units
I have attached an image to show the diagram of the cone.
Now, to find the height (h), we know the radius(r) and we know the slant length(l) . So we can use Pythagoras theorem to find the height.
From Pythagoras theorem;
r² + h² = l²
Where l is the hypotenuse or the slant side while "r" is the radius of the cone while the height will be "h"
Thus;
2² + h² = 5²
h² = 5² - 2²
h² = 25 - 4
h² = 21
h = √21
h = 4.5826 units
So height (h) = 4.5826 units
Volume of cone;V = ⅓πr²h
We are told that π = 3.14
Thus;
V = ⅓ x 3.14 x 2² x 4.5826
V = 19.19 cubic units