Question

Find the slope of the normal to the curve y = 2x2 + 3 sin x at x=0.
​

Answer 1

Step-by-step explanation:

Amount is 39366.

Compound interest is 8116.

Step-by-step explanation:

Given:-

Principal is 31250.

Time period is 3 years.

Rate of interest is 8%.

To find:-

Amount.

Compound interest.

Solution:-

Here, Interest is Compounded annually.

So,

\boxed{\sf \bold{Amount = P \bigg(1 + \dfrac{r}{100} \bigg) ^{n} }}

Amount=P(1+

100

r

)

n

Where,

P is principal.

r is rate of interest.

n is time period

So, Put the values in formula:

\begin{gathered}\sf \longrightarrow 31250 \times \bigg(1 + \dfrac{8}{100} \bigg)^{3} \\ \\ \end{gathered}

⟶31250×(1+

100

8

)

3

\begin{gathered}\sf \longrightarrow 31250 \times \bigg( \dfrac{100 + 8}{100} \bigg)^{3} \\ \\ \end{gathered}

⟶31250×(

100

100+8

)

3

\begin{gathered}\sf \longrightarrow 31250 \times \bigg( \dfrac{108}{100} \bigg)^{3} \\ \\ \end{gathered}

⟶31250×(

100

108

)

3

\begin{gathered}\sf \longrightarrow 31250 \times \dfrac{1259712}{1000000} \\ \\ \end{gathered}

⟶31250×

1000000

1259712

\begin{gathered}\sf \longrightarrow 31250 \times 1.259712 \\ \\ \end{gathered}

⟶31250×1.259712

\begin{gathered}\longrightarrow \blue{\boxed{ \sf \bold{ 39366}} \bigstar} \\ \end{gathered}

⟶

39366

★

Thus,

Amount is 39366.

Now,

\boxed{\sf \bold{C.I = Amount - Principal }}

C.I=Amount−Principal

[C.I means Compound interest]

\begin{gathered}\sf \longrightarrow 39366 - 31250 \\ \\ \end{gathered}

⟶39366−31250

\begin{gathered}\sf \longrightarrow \purple{ \boxed{\bold{8116}}\star} \\ \end{gathered}

⟶

8116

⋆

Therefore,

Compound interest is 8116.e