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Step2247 [10]
3 years ago
12

if tzs 2,500,000 is invested at an interest rate of 9.5%,compounded twice monthly, how long will it take for the investment to r

each tzs 7,500,000?​
Mathematics
1 answer:
Oksanka [162]3 years ago
8 0

9514 1404 393

Answer:

  11 years, 7 months

Step-by-step explanation:

When the investment reaches its desired value, it will be 3 times the original amount. So, we are looking for the number of half-month periods (n) of compounding such that ...

  (1 +0.095/24)^n = 3

Taking logarithms, we have ...

  n·log(1.003958333...) = log(3)

  n = log(3)/log(1.009358333...) ≈ 278.09

This is 278.09/24 ≈ 11.59 years.

It will take about 11 years and 7 months for the investment to reach the desired value.

__

<em>Additional comment</em>

The amount will be about tzs 2,758 short after 11 years 7 months. It will exceed the desired amount after 2 more days' interest is added.

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47%
ale4655 [162]

Answer:

1hr=60minutes

ATQ,20 minutes/60 minutes=1/n

1/3=1/n

so the value of n is 3...

Step-by-step explanation: Hope i helped please give brainliest!

7 0
3 years ago
Tienes un triángulo equilátero con lados de 10cm, lo divides en dos partes de manera horizontal tal que el área de ambos figuras
Tanya [424]

Answer:

x = 10/√2 ≈ 7.07

Step-by-step explanation:

Comenzaremos por dividir el triángulo en dos partes y definir H, como en la figura adjunta.

Aplicando el teorema de Tales, sabemos que:

\dfrac{l/2}{H}=\dfrac{x/2}{h}\\\\\\\dfrac{l}{H}=\dfrac{x}{h}

También sabemos que, dado que el tirángulo menor es la mitad que el triángulo mayor, la relación entre áreas es:

\dfrac{A}{A_x}=\dfrac{lH/2}{xh/2}=\dfrac{lH}{xh}=2

Dado que formamos dos triángulos rectángulos, podemos despejar el valor de H como:

(l/2)^2+H^2=l^2\\\\H^2=l^2-(l/2)^2=10^2-5^2=100-25=75\\\\H^2=\sqrt{75}

Podemos entonces despejar x de la siguiente manera:

h=\dfrac{H}{l}\cdot x=\dfrac{lH}{2x}\\\\\\2x^2\dfrac{H}{l}=lH\\\\\\2x^2=l^2\\\\\\x=\dfrac{l}{\sqrt{2}}=\dfrac{10}{\sqrt{2}}\approx7.07

6 0
3 years ago
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aivan3 [116]

Answer:

45

Step-by-step explanation:

The equation is in vertex form a(x-p)^2 + q, ergo giving us the highest point of the parabola, so q (in this case 45 is the highest point in meters, where p multiplied by (-1) is the time taken to reach that height

8 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP!!!!!!!!!
viva [34]

Answer:

A: 5:1

B. 2:10

Step-by-step explanation:

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3 0
3 years ago
Jessica has four more hockey cards than one third the number of cards that David owns if Jessica has 12 hockey cards how many do
erica [24]
I believe the answer would be 24


work:

12-4=8   8x3=24
7 0
3 years ago
Read 2 more answers
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