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3 years ago

Given the following table, write the equation to represent the exponential function.

Mathematics

1 answer:

larisa [96]3 years ago

3 0

Answer:

y = -2·(1/2)^x

Step-by-step explanation:

The ratio of one table entry to the one before is ...

(-2)/(-4) = 1/2

so this is the <em>growth factor</em>.

The <em>multiplier</em> is the value of y when x=0, which is -2. So, the equation is ...

y = (multiplier)·(growth factor)^x

y = -2·(1/2)^x

_____

This can also be written using a negative exponent:

y = -2·2^(-x)

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Mr. Champion invests 34,000 into a money-market fund that pays 4.8% simple interest. How long will it take for him to earn $8,16

Tanzania [10]

Answer:

5 years

Step-by-step explanation:

Step one:

Given Information

Principal= $34,000

rate = 4.8%

SImple interest = $8,160

Required

The time T of the investment

Step two:

the expression for simple interest is

$SI= PRT/100$

substitute

$8160 = 34000*4.8*T/100$

cross multiply we have

$8160*100= 34000*4.8*T\\\\816000= 163200T\\\\$

divide both sides by 163200

$816000/163200= T\\\\T= 5 years$

4 0

3 years ago

-4(2x-1)>5-3x. HELP!

BabaBlast [244]

-8x + 4 > 5 - 3x

Adding 3x to both sides,

-5x + 4 > 5

Subtracting by -4 on both sides,

-5x > 1

Dividing both sides by -5,

x < - 1/5

7 0

4 years ago

What is the soultion to the system of equation graphed below ?

AlekseyPX

Hello,
answer D (-2,3)

Indeed
y=4x+11
y=-2x-1

==>4x+11=-2x-1
==>6x=-12
==>x=-2

And y=4*(-2)+11=3

5 0

3 years ago

Simplify (34)−1.

elena55 [62]

The simplified form of the expression; (3/4)-¹ as given in the task content is; 4/3.

<h3>What is the simplified form of the expression as given in the task content?</h3>

It follows from the task content that the expression in discuss can be simplified as follows by the laws of indices;

(3/4)-¹

Hence, due to negative exponent, the result is;

= 1 ÷ (3/4)¹

= 1 × (4/3)

= 4/3.