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MArishka [77]
3 years ago
11

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage r

ate of increase or decrease. y=8700(1.04)^4 ​​
Mathematics
2 answers:
Luden [163]3 years ago
6 0
We are given this function:
y=8700* (1.04)^{4}

8700 is the initial amount.
1.04 shows the change of original amount. This is decimal form of percentage. We need to transform it into regular percentage.
1.04 * 100% = 104%
Now we observe this number. If it is greater than 100% we have growth, if it is lower than 100% it is decay, and if it is equal to 100% than there is no change.
In our case this number is greater than 100% so we have growth. To determine the percentage rate we must substract 100% as it represents the original amount.
104% - 100% = 4%
This would be our solution if we don't have an exponent.

We have exponent so first step is to calculate the number and then we repeat the steps from above.
1.04^{4} = 1,16985856
1,16985856 * 100% ≈ 116,99%
116.99% - 100% = 16.99%
So, final solution is growth of 16.99%
frosja888 [35]3 years ago
6 0

Answer:

16.99%

Step-by-step explanation:

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Rachel has been given $1000 to put into a savings account. She earns 2% simple interest
tangare [24]

Answer:

She will not have enough. She will only have $1480.

Step-by-step explanation:

The formula for simple interest is A=P(1+rt)

A=final amount

P=initial amount

r=interest rate per month

t=time in months

A=1000(1+(0.02)(24))=1480

Rachel will not have enough money after two years (24 months.)

Hope that helps!

4 0
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A baseball team has home games on thursdaythursday and saturdaysaturday. the two games together earn ​$4285.004285.00 for the te
lyudmila [28]
1,995 for each game.
1,995+1,995=3,990
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8 0
3 years ago
Which statement describes the mapping?
My name is Ann [436]

Answer:

(-1,1)(0,4)(2,7)(3,7)

Step-by-step explanation:

the arrows point from the x coordinate to the y coordinate in each in pair

4 0
3 years ago
Yumi and Juan pick up litter along the highway at the same rate. Yumi picks up litter for 3 miles and takes two hours longer tha
Harlamova29_29 [7]

3/(x+2) = 2/x

multiply both fractions by x(x+2) to cancel out the bottoms

so it becomes 3x = 2x+4

ow subtract 2X from both sides and you get

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so it took Juan 4 hours

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7 0
3 years ago
Read 2 more answers
Find an equation for the line below.
Nuetrik [128]

Answer:

f(x) = -5/3x + 5/3

Step-by-step explanation:

if x = 4 ; f(x) = -5

if x = -2 ; f(x) = 5

f(x) = ax + b

-5 = 4a + b <em>(</em><em>1</em><em>)</em><em> </em>

and

5 = -2a + b <em>(</em><em>2</em><em>)</em>

<em>(</em><em>1</em><em>)</em><em> </em><em>+</em><em> </em><em>(</em><em>2</em><em>)</em><em> </em>

2a + 2b = 0

a = -b

<em>(</em><em>1</em><em>)</em><em> </em>-5 = 4a - a

-5 = 3a

a = -5/3

<u>A</u><u>n</u><u>s</u><u>w</u><u>e</u><u>r</u><u> </u><u>:</u>

f(x) = -5/3x + 5/3

7 0
2 years ago
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