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3 years ago

Simple interest formula: P=Irt Solve for t

1 answer:

7 0

The formula should be I=Prt but whatever

if you had I=Prt then divide both sides by Pr to get I/(Pr)=t

if you want to use P=Irt, divide both sides by Ir to get P/(Ir)=t

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Max says that the elapsed time from 11:55 AM to 1:01 PM is more than an hour and a half. Is he correct ? Explain.

kati45 [8]

He is wrong because 12:55 is one hr and you still need to get to 1:25 but he only got to 1:01 so he did not get the correct answer

5 0

3 years ago

A is an m×n matrix.Check the true statements below:A. The kernel of a linear transformation is a vector space.B. If the equation

Bess [88]

Answer:

Results are (1) True. (2) False. (3) False. (4) True. (5) True. (6) True.

Step-by-step explanation:

Given A is an $m\times n$ matrix. Let $T :U\to V$ be the corresponding linear transformationover the field F and $\theta$ be identity vector in V. Now if $x\in Ker( T)\implies T(x)=\theta$ .

(1) The kernel of a linear transformation is a vector space : True.

Let $x,y\in Ker( T)$ , then,

$T(x+y)=T(x)+T(y)=\theta+\theta=\theta\impies x+y\in Ker( T)$

hence the kernel is closed under addition.

Let $\lambda\in F, x\in Ker( T)$ , then

$T(\lambda x)=\lambda T(x)=\lambda\times \theta=\theta$

$\lambda x\in Ker(T)$ and thus Ket(T) is closed under multiplication

Finally, fore all vectors $u\in U$ ,

$T(\theta)=T(\theta+(-\theta))=T(\theta)+T(-\theta)=T(\theta)-T(\theta)=\theta$

$\implies \theta\in Ker(T)$

Thus Ker(T) is a subspace.

(2) If the equation Ax=b is consistent, then Col(A) is $\mathbb R^m$ : False

if the equation Ax=b is consistent, then Col(A) must be consistent for all b.

(3) The null space of an mxn matrix is in $\mathbb R^m$

: False

The null space that is dimension of solution space of an m x n matrix is always in $\mathbb R^n$ .

(4) The column space of A is the range of the mapping $x\to Ax$

: True.

(5) Col(A) is the set of all vectors that can be written as Ax for some x. : True.

Here Ax will give a linear combination of column of A as a weights of x.

(6) The null space of A is the solution set of the equation Ax=0.

: True

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3 years ago

How do you write mixed numbers or fractions as decimals?

aksik [14]

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3 years ago

The number of points in the first five games of the basketball season are listed below. What is the mean number of points scored

Fudgin [204]

Answer: 29

Step-by-step explanation:

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3 years ago

* The value of x is: a) 4.2 b) 14 c) 18 d) 313 4 12

Lana71 [14]

Answer:

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3 years ago