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3 years ago

2. Latoya opens a savings account and deposits $1,525. The interest rate is 2.73 percent. Interest is

Mathematics

1 answer:

Zigmanuir [339]3 years ago

5 0

Answer:

Step-by-step explanation:

Deposit = $1,525

Interest = 2.73%

Duration: 12 months

1,525/100 x 2.73/1

15.25 x 2.73

= 41.7 x 3

= $125.1

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Which of the following points are more than 5 units from the point P(−2, −2)? Select all that apply. A A (2, 1) B B (4, −1) C C

netineya [11]

The distance between any 2 points P(a,b) and Q(c,d) in the coordinate plane, is given by the formula:<span>

<span> $|PQ|= \sqrt{ (a-c)^{2} + (b-d)^{2}}$ </span></span>

Using this formula we calculate the distances |PA|, |PB|, |PC|, |PD| and |PE| and compare to 5.

$|PA|= \sqrt{ (-2-2)^{2} + (-2-1)^{2}}= \sqrt{16+9}= \sqrt{25}=5$

$|PB|= \sqrt{ (-2-4)^{2} + (-2+1)^{2}}= \sqrt{36+1}= \sqrt{37} \approx 6$

$|PC|= \sqrt{ (-2-2)^{2} + (-2+3)^{2}}= \sqrt{16+1}= \sqrt{17}\approx4$

$|PD|= \sqrt{ (-2+6)^{2} + (-2+6)^{2}}= \sqrt{16+16}= \sqrt{32}\ \textgreater \ \sqrt{25}=5$

$|PE|= \sqrt{ (-2+5)^{2} + (-2-1)^{2}}= \sqrt{9+9}= \sqrt{16}=4$

Answer: B and D

3 0

2 years ago

Choose the pair of numbers that is not a solution to the given equation.

balandron [24]

Answer:

The pair (0,3) is not a solution to the equation

Step-by-step explanation:

This can be proved by simply replacing the x and y variables in the equation by the x and y values of the pair, and checking if the equation renders a true statement:

By replacing x and y with their values in the pair (0,3), that is x=0 and y=3, in the equation y = 5 - 2x we get:

3 = 5 - 2 (0)

3 = 5 - 0

3 = 5

which is NOT a true statement.

On the other hand, the other two pairs (2,1) and (1,3) render true statements:

1 = 5 - 2 (2)

1 = 5 - 4

1 = 1

and

3 = 5 - 2 (1)

3 = 5 - 2

3 = 3

3 0

3 years ago

Help me please hurry

tatuchka [14]

Answer:

61°

this triangle is split in half and forms 2 triangles. These triangles must be congruent since they are each excatly half of this rectangle

Therefore, <2 is going to be equal to the m< the corresponding angle in the other triangle. <2 = 61°

<2 is also equal to 61° by the interior angles theorem

Step-by-step explanation:

5 0

2 years ago

Which is the range of the function f(x) = (9)×?

Anna [14]

Using it's concept, it is found that the range of the function $f(x) = 9^x$ is given by:

all real numbers greater than 0.

<h3>What is the range of a function?</h3>

It is the set that contains all possible output values for the function.

In this problem, the function is:

$f(x) = 9^x$

For <u>exponential functions without vertical shifts</u>, as is the case in this problem, the range is given by:

all real numbers greater than 0.

More can be learned about the range of a function at brainly.com/question/10891721

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4 0

1 year ago

What is the average rate of change for <br><br> f (x)=0.5 (-10x + 24)?

xenn [34]

Answer:

The rate of change of the function is -5.

Step-by-step explanation:

Given : Function $f(x)=0.5(-10x+24)$

To find : What is the average rate of change ?

Solution :

Function $f(x)=0.5(-10x+24)$

The rate of change is the first derivative.

$f(x)=-5x+12$

Derivate w.r.t. x,

$f(x)=-5$

Therefore, The rate of change of the function is -5.

5 0

2 years ago