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Finger [1]
3 years ago
14

Hal is asked to write an exponential function to represent the value of a $10,000 investment decreasing at 2% annually. What mul

tiplicative rate of change should Hal use in his function?
0.02
0.98
1.02
1.98
Mathematics
1 answer:
Inga [223]3 years ago
8 0

Answer

The multiplicative rate of change that should be in Hal’s function = 49/50=0.98

                                                                                                                  =9.8×10⁻¹

Explanation

The investment of $10,000 decreases by 2% every year. So the following year is usually (100 - 2)=98% of the previous year. This is a geometric progression.

In this case the first term = 10000

The second term = 98% × 10000 = 9800.

The common ratio = 9800/10000=49/50

The multiplicative rate of change that should be in Hal’s function = 49/50=0.98.

The equation of the exponential rate would be;

10,000ₓ0.98ⁿ.

where n is the number years.

Hope his helps! ;)

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Natali5045456 [20]
45/5 = 9 jams a day
x/7 = 9
x= 63 jams a day

Hope this helps!
5 0
3 years ago
"calculate the number of permutations possible when using the first five letters of the alphabet to create 3-letter words.
Hitman42 [59]
That is   5! / (5-3)!  =  120 / 2 = 60 answer
5 0
3 years ago
As a sales person Jonathan is paid 50 per week +3% of the total Amount he sells. This week he wants to earn at least 100. Write
steposvetlana [31]

Answer:

The Inequality with integer coefficient for the total sales is 5000+3x\geq 10000

Hence Jonathan should make total sales of at least <u>1667</u> to earn at least 100.

Step-by-step explanation:

Given:

Amount paid per week = 50

Addition amount = 3% of Total sales.

Let the Total sales be 'x'.

∴ Additional amount = \frac{3}{100}x

Amount he wants to earn this week  \geq 100

We need to write the inequality with integer coefficient for the total sales and also to find the total sales.

Solution:

We cans say that;

Amount paid per week plus Additional amount should be greater than or equal to Amount he wants to earn this week.

framing in equation form we get;

50+\frac{3}{100}x\geq 100

Now we will make the denominator common using LCM we get;

\frac{50\times100}{100}+\frac{3}{100}x\geq 100

\frac{5000}{100}+\frac{3}{100}x\geq 100

\frac{5000+3x}{100}\geq 100

Multiplying both side by 100 we get;

100 \times\frac{5000+3x}{100}\geq 100\times 100\\\\5000+3x\geq 10000

Hence The Inequality with integer coefficient for the total sales is 5000+3x\geq 10000

On solving the above equation we get;

Subtracting both side by 5000 we get;

5000+3x-5000\geq 10000-5000\\\\3x\geq 5000

Dividing both side by 3 we get;

\frac{3x}{3}\geq \frac{5000}{3}\\\\x\geq 1666.67

Hence Jonathan should make total sales of at least <u>1667</u> to earn at least 100.

5 0
3 years ago
PLEASE HELP WILL MARK BRAINLIEST
Tpy6a [65]

Answer:

slop =  \frac{2 - 1}{2 - 0}  =  \frac{1}{2}  \\ for \: point \: x = 0 \: y = 1 \\ y - 1 =  \frac{1}{2}  \times (x - 0) \\ y =  \frac{1}{2} x + 1

4 0
2 years ago
Help with solving for the variable in math problem: -3(3x)^2 + 3 = -6
lana66690 [7]

Answer

x = 1/√3  and   x = -1/√3 

or in decimals x = + 0.577350269  and 

                           = - 0.577350269


Explanation

-3(3x)² + 3 = -6

-3×9x² + 3 = -6

-27x² = -6-3

-27x² = -9


x² =-9/(-27)

    = 9/27


x = +√(9/27)   

 x = 3/√27

= 3/√9×3

= 3/3√3

= 1/√3

or in decimals x = 0.577350269

Also x = -√(9/27)

x = +√(9/27)   

 x = -3/√27

     = -3/√9×3

     = -3/3√3

    = -1/√3

or in decimals x = -0.577350269

6 0
3 years ago
Read 2 more answers
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