The number of students enrolled at a college is 18,000 and grows 6% each year. part a: the intial amount a is ___.

Mathematics

1 answer:

ch4aika [34]3 years ago

7 0

The initial amount, (original starting amount) is 18,000.

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Terrence finished a word search in 3/4 the time it took frank. charlotte finished the word search in 2/3 the time it took terren

Luden [163]

Answer:

Charlotte-16

Step-by-step explanation:

In order to calculate the time that Charlotte took we just first have to calculate the time that Terrence took to finish the word search, that is done by multiplying the 32 minutes that Frank took by the three quartes that it took terrence:

$Time=(\frac{3}{4}) (32)\\Time=(\frac{96}{4})\\Time=24$

So now we know that It took terrence 24 minutes, and that Charlotte took two thirds of that time so we now just multiply that:

$Time=(\frac{2}{3}) (24)\\Time=(\frac{48}{3})\\Time=16$

6 0

3 years ago

Read 2 more answers

If T: (x, y) → (x + 6, y + 4), then T-1: (x,y) → _____.

alexgriva [62]

T is a linear transformation from R²→R² with basis {(1,0),(0,1)}
T: (x,y)→(x+6,y+4)

A function from one vector space to another that preserves the underlying (linear) structure of each vector space is called a linear transformation.

Then the vector (1,0) goes to (1+6,4)=(7,4)=7(1,0)+4(0,1)

and the vector (0,1) goes to (6,1+4)=(6,5)=6(1,0)+5(0,1)

So, the matrix of the transformation is

$\left[\begin{array}{ccc}7&6\\4&5\end{array}\right]$

The inverse of the matrix is

$\left[\begin{array}{ccc}\frac{5}{11}&\frac{-6}{11}\\ \\\frac{-4}{11}&\frac{7}{11}\end{array}\right]$

So, the Inverse Transformation is given by

$T^{-1}(x,y)=\left[\begin{array}{ccc}\frac{5}{11}&\frac{-6}{11}\\ \\\frac{-4}{11}&\frac{7}{11}\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right] =(\frac{5x-6y}{11}, \frac{-4x+7y}{11})$