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Zolol [24]
3 years ago
8

Which expression is equivalent to 9^-2? –81 –18 1/81 1/18

Mathematics
2 answers:
Vikki [24]3 years ago
8 0

Answer:

(C) f(x)={\frac{1}{81}}

Step-by-step explanation:

The given expression is:

f(x)=9^-2

Upon solving the above expression, which can be written as:

f(x)=({\frac{1}{9}})^2

f(x)={\frac{1}{81}}

which is same as the expression given in the option (C) that is f(x)={\frac{1}{81}}, hence the option C is correct.

Kaylis [27]3 years ago
5 0
(9)^-2 = (1/9)^2 = 1/81

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V5. Suppose you invest $5,000 at 9% interest, compounded annually, for 10 years. Determine the future value of your investment,
Elanso [62]

Answer: $11836.8

Step-by-step explanation:

Given. That :

Amount invested = $5000

Interest rate = 9% = 0.09

Period = 10 years, compounded annually

Using the compound interest formula :

A = p(1 + r/n)^nt

A = final amount

P = principal or invested amount

r = rate of interest

n = number of times interest Is applied per period

t = period

A = 5000(1 + 0.09/1)^(1*10)

A = 5000(1.09)^10

A = 5000 * 2.36736367459211723401

A = 11836.81837296058617005

= $11836.8

4 0
3 years ago
Rectangle JKLM is shown.
ad-work [718]

Answer:

B

Step-by-step explanation:

We can use the Pythagorean theorem to solve this.

(13)^2 = (8)^2+x^2

169 = 64 + x^2

x^2 = 105

x is approximately 10.2, so B

6 0
3 years ago
Solve the system of equations using elimination.<br><br> 4x - 7y = 5<br> 9x – 7y = –15
Anni [7]

Step-by-step explanation:

We have to get one positive 7y so,

4x-7y=5

9x-7y=-15

multiply anyone of the equation by -1. I choose the first one so,

4x+7y=-5

9x-7y=-15

we can now cancel the y's so the equation will be left with

-4x=-5

9x=-15

add the equations

5x=-20

divide by 5 n u get

x=-4

now plug in the x value in any one of the

equations

I choose the first one so,

4(-4)-7y=5

-16-7y=5

add 16 to both sides

-7y=21

divide by -7

y=-3.

finally check.

8 0
4 years ago
How would I solve <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20x-%5Cfrac%7B5%7D%7B3%7D%20%3D-%5Cfrac%7B1%7D%7B2%7D%
sdas [7]
Multiply both sides of the equation by 12. Move the variables to the left-hand side and change its sign. Move the constant to the left-hand side and change its sign. Collect like terms. Add the numbers. Divide both sides of the equation by 12.

1/2 x - 5= - 1/2 x + 19/4
6x -20= - 6x + 57
6x + 6x= 57 + 20
12x= 57 + 20
12x= 77
ANSWER
x = 77/12
Alternative Form .
x = 6 5/12, x= 6.416
7 0
3 years ago
Read 2 more answers
To solve a system of inequalities, you just need to graph each inequality and see wich points are in the overlap of the graphs.
GrogVix [38]
<h3>Answer: True</h3>

This is often how many math teachers and textbooks approach problems like this. The overlapped region is the region in which satisfies every inequality in the system. Be sure to note the boundary of each region whether you're dealing with a dashed line or a solid line. Dashed lines mean points on the boundary do not count as solution points, whereas solid boundaries allow those points as part of the solution set.

Side note: This is assuming you're dealing with 2 variable inequalities. If you only have one variable, you don't need to graph and instead could use algebra. Graphing doesn't hurt though.

3 0
3 years ago
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