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g100num [7]
3 years ago
15

What is a, the initial amount, for the function: f(x) = 300(1.16)*?

Mathematics
1 answer:
jeka943 years ago
6 0
<h3>Answer:   300</h3>

====================================================

Explanation:

One general template of exponential functions is

f(x) = a*(b)^x

The 'a' is the initial amount, which in this case is a = 300

----------------------

Extra info:

The b is the base of the exponential, which is b = 1.16

The value of b is helpful to determine if you have exponential growth or decay, and how much of either. Because b = 1.16 is greater than 1, it indicates exponential growth. The rate of growth is found by solving 1+r = 1.16 to get r = 0.16, which leads to 16% growth.

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Delicious77 [7]

Answer:

Slope=2.

Step-by-step explanation:

Slope=y1-y2/x1-x2

Where

X1,y1,=(-5, -11) X2,y2=(6,11).

Slope=-11-11/-5-6

=-22/-11

=22/11

=2

Slope is 2

7 0
3 years ago
Read 2 more answers
Solve the equation.
mylen [45]

-9/15y+3/21=5/15y-14/21

Move 5/15y to the other side. Sign changes from +5/15y to -5/15y

-9/15y-5/15y+3/21=5/15y-5/15y-14/21

-14/15y+3/21=-14/21

Move 3/21 to the other side. Sign changes from +3/21 to -3/21.

-14/15y+3/21-3/21=-14/21-3/21

-14/15y=-14/21-3/21

-14/21-3/21=-17/21

-14/15y=-17/21

Multiply both sides by -15/14

-14/15y(-15/14)

Cross out 15 and 15, divide by 15 then becomes 1

Cross out 14 and 14, divide by 14 then becomes 1

1*1*y=y

-17/21*-15/14

Cross out 15 and 21 , divide by 3. 15/3=2, 21/3=7

17/7*5/14=85/98

Answer: c. y=85/98

7 0
3 years ago
Write down two expressions for the perimeter of this shape one with brackets and one without
dexar [7]
The formula of a perimeter is:2(L+l) or 2*L+2*l
8 0
3 years ago
Find the surface area of the triangular prism.<br><br> 15.6 cm<br> 10 cm<br> 11 cm<br> 12 cm
dimulka [17.4K]

Answer:

533.6cm²

Step-by-step explanation:

Hello!

I'm here to answer your question!

<u>Area of each triangular base:</u>

\frac{1}{2}(12)(10)=60

<u />

<u>Area of the rectangular faces:</u>

12\times 11 =132

15.6\times 11=171.6

10\times 11=110

<u>Add to find the surface area:</u>

60+60+132+171.6+110=533.6

Thus, the surface area of the triangular prism is = 533.6 yd²

Hope this helps you!

Hugs from,

Josh

6 0
3 years ago
Read 2 more answers
The graph of f(x) = 2x + 3 shifts 10 units to the right when it is replaced with the graph of f(x) = 2x − k. What is the value o
Nezavi [6.7K]

Answer:

k=17

Step-by-step explanation:

Given F(x)=2x+3  shifts 10 units when it is replaced with the graph f(x)=2x-k.

The method to solve this kind of questions is find where the graph meets the x axis then add ten units to it .The obtained x coordinate is the point where the second graph meets the x axis.

Now first find where the F(x)=2x+3 meets the x axis by substituting F(x)=0.

2x+3=0

x=-\frac{3}{2}

Now add 10 to this x coordinate , we get x1=10-3/2=17/2

this is x coordinate where the second line meets the x-axis.

The second line is F(x)=2x-k.

now f(x)=0 and x=17/2

On substitution we get 0=2*17/2-k

k=17

3 0
3 years ago
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