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3 years ago

5

Mr. Perkins has \$ 120$120 in a savings account. The annual percentage rate is 4.25\%4.25% compounded monthly. How much will he

have in 22 years?

1 answer:

igor_vitrenko [27]3 years ago

8 0

Answer:

$132

Step-by-step explanation:

obv

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Find S11 for 1 + 2 + 4 + 8 +

Free_Kalibri [48]

Evaluating the given sequence, it is evident that the next number is twice the number prior to it. Thus, the given is a geometric sequence with first term (a1) equal to 1 and common ratio of 2. The geometric series may be calculated by the equation,

Sn = a1 x (1 - r^n) / (1 - r)

where Sn is the sum of n terms in this case, n = 11.
Substituting the known values,

<span> Sn = 1 x (1 - 2^11) / (1 - 2) = 2047
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Thus, S11 is 2047.

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3 years ago

Suppose that A is nonsingular. Prove that its inverse A-1 is unique. [Hint: Show that if there exists two matrices, B and C, suc

Bogdan [553]

Answer with Step-by-step explanation:

Let A is non-singular

$\mid A\mid\neq 0$

We have to prove that $A^{-1}$ is unique.

Suppose B and C are inverse of A such that

$BA=I$ and AC=I

By using property $AA^{-1}=A^{-1}A=I$

$C=C$

$(BA)C=B(AC)$

$I\cdot C=B\cdot I$

$C=B$

Hence, the inverse of A is unique.

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What are the domain and range of the inequality y < sqrt x+3+1

love history [14]

Given:

The inequality is:

$y$

To find:

The domain and range of the given inequality.

Solution:

We have,

$y$

The related equation is:

$y=\sqrt{x+3}+1$

This equation is defined if:

$x+3\geq 0$

$x\geq -3$

In the given inequality, the sign of inequality is <, it means the points on the boundary line are not included in the solution set. Thus, -3 is not included in the domain.

So, the domain of the given inequality is x>-3.

We know that,

$\sqrt{x+3}\geq 0$

$\sqrt{x+3}+1\geq 0+1$

$y\geq 1$

The points on the boundary line are not included in the solution set. Thus, 1 is not included in the range.

So, the domain of the given inequality is y>1.

Therefore, the correct option is A.

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3 years ago