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IrinaK [193]
3 years ago
6

Amistad deposited $2,163.27 in a savings account that earns 3.9% simple interest. What will Amistad's account balance be in nine

months?
Mathematics
1 answer:
avanturin [10]3 years ago
8 0

Given that Amistad deposited $2,163.27 in a savings account that earns 3.9% simple interest.

That means we need to use Simple interest formula to find the Amistad's account balance in nine months.


Simple interest formula is

A=P(1+RT)

Where P= principal amount = $2163.27

R= rate of interest = 3.9%= 0.039

T= time in years = 9 months = 9/12 years = 0.75


Now plug these values into above formula:

A=2163.27(1+0.039* 0.75)

A=2163.27(1+0.02925)

A=2163.27(1.02925)

A=2226.5456475


Hence Amistad's account balance in nine months will be approx $2226.55

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tarro corto

Step-by-step explanation:

Aquí tenemos que comprar el frasco que tiene el menor costo por volumen.

h_1 = Altura del frasco corto

h_2 = La altura del frasco alto es el doble que el del frasco corto. = 2h_1

d_1 = Diámetro del frasco corto

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El volumen de un cilindro es \pi \dfrac{d^2}{4}h

La razón de los volúmenes de los frascos es

\dfrac{V_1}{V_2}=\dfrac{\pi\dfrac{d_1^2}{4}h_1}{\pi\dfrac{d_2^2}{4}h_2}\\\Rightarrow \dfrac{V_1}{V_2}=\dfrac{d_1^2h_1}{d_2^2h_2}\\\Rightarrow \dfrac{V_1}{V_2}=\dfrac{d_1^2h_1}{(\dfrac{1}{2}d_1)^22h_1}\\\Rightarrow \dfrac{V_1}{V_2}=\dfrac{d_1^2h_1}{\dfrac{1}{4}d_1^22h_1}\\\Rightarrow \dfrac{V_1}{V_2}=\dfrac{1}{\dfrac{1}{2}}\\\Rightarrow \dfrac{V_1}{V_2}=2\\\Rightarrow V_1=2V_2

El costo del frasco corto por unidad de volumen es

\dfrac{8000}{V_1}=\dfrac{8000}{2V_2}=\dfrac{4000}{V_2}

El costo del frasco alto por unidad de volumen es

\dfrac{4500}{V_2}=\dfrac{4500}{V_2}

\dfrac{4000}{V_2}

Entonces, el costo del frasco corto por unidad de volumen es menor que el costo por unidad de volumen del frasco alto.

Por lo tanto, deberíamos tomar el frasco corto.

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