The graph of the function is shown below: f(x) = 4 * 3^x

Select the best answer from the choices provided:
-T
-F

Answer:

Step-by-step explanation:

For us,

P = 728,

r = .044,

e is Euler's number (a constant), and

t is 16. Filling in:

[tex]V=728e^{(.044)(16)}[/tex] and

[tex]V=728e^{(.704)}[/tex] and

V = 728(2.02182385) so

V = $1471.89

A person places $728 in an investment account earning an annual rate of 4.4%, compounded continuously. The value of the account in t years is $1471.89.

We have given that,

P = 728,

r = 0.044,

e is Euler's number (a constant), and

t = 16.

The formula of the account in t years is,

[tex]V = Pe^{rt}[/tex]

Use the given value in the above formula,

V = 728(2.02182385)

Therefore we get,

V = $1471.89

Therefore, the value of the account in t years is $1471.89.

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Answer:

every other one

Step-by-step explanation:

to put it specifically rings, 2, 4 and 6

Answer:

Alternate Interior Angles; 95°

Step-by-step explanation:

Alternate interior angles have the same measure (meaning they are the same number of degrees.) You can set up an equation to solve for x.

11x - 4 = 9x + 14

    +4            +4

11x  = 9x + 18

-9x   -9x

2x = 18      x = 9  Now substitute 9 into one of the expressions.

11(9)-4

99 - 4 = 95

Check the other expression...

9(9)+14

81 + 14 = 95

Answer: y = 6

Step-by-step explanation:if x = -30 then -2 x = 60 so 60 - 42 = 18 divide that by 3 and you get y.

Answer:

[tex]\left(6y-1\right)\left(2y-3\right)[/tex]

Step-by-step explanation:

[tex]12y^2-20y+3[/tex]

-20y can be written as -2y + -18y.

[tex]\left(12y^2-2y\right)+\left(-18y+3\right)[/tex]

Factor out 2y from the first expression and factor out 3 from the second expression.

[tex]2y\left(6y-1\right)-3\left(6y-1\right)[/tex]

Factor out the common term 6y-1.

[tex]\left(6y-1\right)\left(2y-3\right)[/tex]

Answer:

the volume of the prism is VOLUME=BASE*HEIGHT

Step-by-step explanation:

SO it's ,

13*7=91ft

Answer:

591.5 ft^3

Step-by-step explanation:

m<JKL=45°

Please see the attached picture for full solution

hope it helps..

Good luck on your assignment...

Answer:45°

Step-by-step explanation:

Answer:

[tex]\text{As } x \to \infty, y \to \infty,$and as x \to -\infty, y \to \infty[/tex]

Step-by-step explanation:

Given the polynomial function: [tex]h(x)=-x^3+x^4-2x+1[/tex]

To examine its end behavior, we create a table of values that we can then examine.

[tex]\left|\begin{array}{c|c}x&h(x)\\--&--\\-4&329\\-3&115\\-2&29\\-1&5\\0&1\\1&-1\\2&5\\3&49\\4&185\end{array}\right|[/tex]

From the table, we see a repeating pattern of positive values of h(x) with h(1)=-1 being an axis of symmetry.

Therefore, as:

[tex]x \to \infty, h(x) \to \infty\\x \to -\infty, h(x) \to \infty[/tex]

Answer:

-4

Step-by-step explanation:

(4-2)^3 - 3*4

PEMDAS

P arentheses

(2)^3 - 3*4

E xponents

8 -3*4

MD  multiply and divide from left to right

8 - 12

AS add and subtract from left to right

-4

Answer:

-4

Step-by-step explanation:

When solving an expression, use PEMDAS!

4-2 = 2

2^3 (Cubed means to the 3rd) = 8

3 x 4

8-12 = -4

Answer:

Here is the answer ...... Check out it

Step-by-step explanation:

An inconsistent system of equations is a system of equations with no solution. We can determine if our system is inconsistent in three ways: graphing, algebra, and logic. Graphs of an inconsistent system will have no points of intersection.

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Answer:

$9.30

Step-by-step explanation:

If you subtract 16.33 from the total of 25.63 you will have 9.3 or 9.30. (They're the same number.)

Answer:

(3+2m)(3-2m)

Step-by-step explanation:

(3+2m)(3-2m)

Answer:

x=10

Step-by-step explanation:

set it up and solve

2x-1=x+9

2x=x+10

x=10

Answer:

The cost of admission to a festival was $112 for 9 children and 3 adults. The admission was $108 for 8 children and 3 adults in another festival. How much was the admission for each child and adult?

Step-by-step explanation:

Answer:

Her average speed is 45 mph

Step-by-step explanation:

Let the average speed be x mph

Time taken complete the journey = distance/ average speed

Time = 300/x

Now , at 9 mph less, she could have only traveled 240 miles in same time

At 9 mph less, the average speed is x-9

so the time would be 240/x-9

since the time is same as before;

300/x = 240/x-9

Divide both sides by 60

5/x = 4/x-9

Cross multiply

5(x-9) = 4(x)

5x - 45 = 4x

5x -4x = 45

x = 45 mph

Answer:

500 mg

Step-by-step explanation:

amount of dextrose in  35 ounce Pedialyte = 2500 mg

dividing LHS and RHS by 35

amount of dextrose in  35/35 ounce Pedialyte = 2500 /35 mg = 500/7 mg

Thus,

amount of dextrose in  1 ounce Pedialyte = 500 /7 mg

since we have to find amount of dextrose in  7 ounce Pedialyte

we multiply LHS and RHS by 7

Thus,

amount of dextrose in  1 *7 ounce Pedialyte = 500 /7 * 7 mg = 500 mg

amount of dextrose in  7 ounce Pedialyte = 500 mg

Thus, As child consumed 7 ounces of Pedialyte, He consumed 500 mg of dextrose.

Answer:

Step-by-step explanation:

write the expression down:

4x-12/x^2-9

factor:

4(x-3)/(x+3)(x-3)

simplify:

4/(x+3)

Answer:

From the parent graph f(x) = x², the graph moved horizontally left by 3 units and vertically down by 5 units.

The equation of the new graph is f(x) = (x + 3)² - 5

Step-by-step explanation:

Answer:

i think 9.8 but im not sure

Step-by-step explanation:

The distance between points M and N is; 9.8 meters.

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

From observation, it is given that the line segment MN which joins points M and N is parallel to the line JK. which follows from the fact that M and N are midpoints of KL and JL respectively.

Hence, it states that triangles NLM and JLK are congruent and by the ratio of corresponding sides equality:

NM/19.6 = 7.4/(2×7.4)

Solving;

NM = 19.6/2

NM=  9.8 meters.

This follows that, the ratio of corresponding sides of congruent triangles are equal.

The distance between points M and N is; 9.8 meters.

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Step-by-step explanation:

4unit is 35

1unit is 35/4 which is 8.75

Answer:

[ 11 - 10 ] / 10 x 100%

= 1 /10 x 100%

= 10%

Only 10% longer

Answer: 2a^2

Step-by-step explanation:

2^3 = 8

8 / 4 = 2

————————

(a^2)^3 = a^6

a^6 / a^4 = a^2

Answer:

A. is 0

Step-by-step explanation:

When the discriminant is 0, there is one solution to the function, meaning the parabola intersects the x-axis at only one point. Here, that point is (2, 0).

I hope this helps :))

Answer:

5 hours and 50mins

Step-by-step explanation:

8:35 am + 25mins= 9:00am 9:00am+5hours=3:00pm+25mins=3:12pm 25mins+5hours+25mins=5hours and 50 mins

Hope this helps :)

Answer:

infinite solutions

Step-by-step explanation:

Multiply the first equation by 2

2(3x-5y) = 2*15

6x - 10y = 30

This is the same as the second equation

They are the same line

This means there are infinite solutions

Answer:

0.4

Step-by-step explanation:

To decrease something by 60% you multiply by 0.4

Answer:

0.4

Step-by-step explanation:

Say you have an object that costs $100.

Now 60% of $100 is $60.

Subtract $60 from $100 and you get $40.

Now $100 × [tex]x[/tex] = $40

[tex]x=0.4[/tex]

$100×0.4=$40

You need to multiply it by 0.4

Answer:

85.4054%

Step-by-step explanation:

3.16/3.7 × 100

Divide.

0.854054 × 100

Multiply.

= 85.4054

Answer:

2245

Step-by-step explanation:

2282-37=2245

2245 students are girls

Answer:

1304

Step-by-step explanation:

3/7 of students are boys

total students= 2282

girls are 1-3/7= 4/7 of all students

girls= 2282*4/7= 1304

Answer:

x = 2

Price = $29

Step-by-step explanation:

If x is the number of $2 dollars increases, then the minimum number of increases required to meet her goal is:

[tex]-100x^2 + 15,750x + 212,500 \geq 243,600\\-100x^2 + 15,750x -31,100\geq 0\\x^2 -157.5x + 311\geq 0\\x=\frac{157.5\pm\sqrt{157.5^2-(4*1*311)} }{2}\\ x_1= 2\\x_2=155.5[/tex]

The only realistic value is x = 2 $2 increases

If the original price was $25, then the new rice required to reach Amy's goal is:

[tex]P=25+2*2\\P=\$29[/tex]

The minimum ticket price is $29.

Answer: B: 2x^2-315x+622_< 0

C: (2x-311)(x-2)_< 0

("_<" means greaten than for equal to)