If $8500 is invested at 3.4% interest, compounded monthly, how much will the
investment be worth in 23 years?
O A. $18,339.66
O B. $9,071.53
O C. $19,142.10
O D. $18,559.10

Answer:

Domain:

-∞<x<∞, or (-∞,∞) in interval notation

Range:

-∞<f(x)<∞, or (-∞,∞) in interval notation

Step-by-step explanation:

It’s infinite both ways, so:

Domain:

-∞<x<∞, or (-∞,∞) in interval notation

Range:

-∞<f(x)<∞, or (-∞,∞) in interval notation

The inverse of f (×) =2× + 3 is

yes it is true

Answer:

Distance = rate x time or d = rt...that means time t = d/r...and we have

t = 21 km / .5 km/hr = 42 hr

Step-by-step explanation:

The amount of time taken by the lava to reach the sea will be 42 hours.

Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance. The speed is a scalar quantity it only requires magnitude to represent.

Given In a volcano, erupting lava flows continuously through a tube system about 17 kilometers to the sea. Assume a lava flow speed of 0.5 kilometers per hour.

The distance will be calculated as below:-

Distance = rate x time  

d = r x t

t = d / r

t = 21 km / .5 km/hr

t = 42 hr

Therefore, the amount of time taken by the lava to reach the sea will be 42 hours.

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Answer: 24$

multiply $12x$2 and get 24$

Step-by-step explanation: I need two tickets to the movies. Each ticket costs $12. How much do I need to purchase 2 tickets to the movies?

Answer:

A (0,5)

Step-by-step explanation:

Look where both lines intersect.

Answer:

(0, 5)

Step-by-step explanation:

I suppose you're asking about the inverse Laplace transform of

[tex]F(s)=\dfrac4{(s-3)(s-2)}[/tex]

by way of the convolution theorem.

The theorem itself says that

[tex]\mathscr L^{-1}\{A(s)B(s)\}=(a*b)(t)[/tex]

where [tex]A(s)[/tex] and [tex]B(s)[/tex] are the Laplace transforms of [tex]a(t)[/tex] and [tex]b(t)[/tex], respectively.

Let [tex]A(s)=\frac1{s-3}[/tex] and [tex]B(s)=\frac1{s-2}[/tex]. Then

[tex]a(t)=\mathscr L^{-1}\left\{\dfrac1{s-3}\right\}=e^{3t}[/tex]

[tex]b(t)=\mathscr L^{-1}\left\{\dfrac1{s-2}\right\}=e^{2t}[/tex]

So we have

[tex]\mathscr L^{-1}\left\{\dfrac4{(s-3)(s-2)}\right\}=e^{3t}*e^{2t}[/tex]

Convolution is defined as

[tex](a*b)(t)=\displaystyle\int_0^t a(t-\tau)b(\tau)\,\mathrm d\tau[/tex]

The convolution of [tex]e^{3t}[/tex] and [tex]e^{2t}[/tex] is

[tex]e^{3t}*e^{2t}=\displaystyle\int_0^t e^{3(t-\tau)}e^{2\tau}\,\mathrm d\tau[/tex]

[tex]=\displaystyle e^{3t} \int_0^t e^{-\tau}\,\mathrm d\tau[/tex]

[tex]=e^{3t}(1-e^{-t})=e^{3t}-e^{2t}[/tex]

We end up with

[tex]\mathscr L^{-1}\left\{\dfrac4{(s-3)(s-2)}\right\}=\boxed{4(e^{3t}-e^{2t})}[/tex]

Answer:

EF = 10

Step-by-step explanation:

DE + EF = DF

5x + x + 8 = 20

6x = 20 - 8

6x = 12

x = 12/6

x = 2

EF = x + 8 = 2 + 8 = 10

Answer:

complement of set A={2,4,6}

hope it helps

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Answer:

Two angles are called complementary when their measures add to 90 degrees. Two angles are called supplementary when their measures add up to 180 degrees.

Step-by-step explanation:

Answer:

y=199-3x

Step-by-step explanation:

you ave 199 and 3 pper day so  is considered each day and whatever it equals it will be y

Answer:

A 199 -3d

Step-by-step explanation:

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Answer:

It’s c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation: 14 11/12 rounds up to 15 and 3 1/6 is closer to 3 so the answer would be 18

Answer:

3840

Step-by-step explanation:

Hope this helps you out

Answer:

y = 2x

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Step 1: Find slope m

2x - y = -4

-y = -2x - 4

y = 2x + 4

Since the 2 lines are parallel, they have the same slope.

Step 2: Define variables

Slope m = 2

Origin (x-int and y-int) (0, 0)

Step 3: Write parallel linear equation

y = 2x + 0

y = 2x

Answer: first add everything in the (parentheses) then multiply that by 32 then add 5 = 165

Step-by-step explanation:

Answer:

12/37

Step-by-step explanation:

Answer: undefined; vertical line

Step-by-step explanation:

To find the slope, you use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].

[tex]m=\frac{1-(-7)}{6-6} =\frac{8}{0}[/tex]

The slope is undefined because you cannot divide anything by 0.

The graph of the line is a vertical line at x=6. We know this because the points are both at x=6, with different y-values.

the answers 16 if you need an explanation then ill comment one.....!

Answer:

16

Step-by-step explanation:

8 :2 ×(2 +2) =

4 ×4 =

16

Answer:

Step-by-step explanation:

the answer is .25 because i got it right and it makes alot of sense

Answer:

The numerical length of UW is 27

Step-by-step explanation:

Answer:

274

Step-by-step explanation:

113+88+73

Answer:

$7300

Step-by-step explanation:

For Chris to select plan A, Plan A salary should be greater than that of plan B. Let the amount of sales be x

[tex]400 + \frac{7}{100} x > 692 + \frac{3}{100} x \\ \frac{7}{100} x - \frac{3}{100} x > 692 - 400 \\ \frac{4}{100} x > 292 \\ x > 7300[/tex]

Answer:

C

Step-by-step explanation:

The inequality 2(x + 7) > 6 and 2(x + 7) ≤ -3 will represents the given situation so option (C) will be correct.

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.

In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.

Let's say that number is x

Then,

sum of a number and 7 = x +7

Twice the sum of a number and 7 is more than 6

So,

2(x + 7) > 6

And

Twice the sum of a number and 7 is at most -3, it means it can go up to -3 not more than.

So,

2(x + 7) ≤ -3

Hence "The inequality 2(x + 7) > 6 and 2(x + 7) ≤ -3 will represents the given situation".

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Answer:$11.90

Step-by-step explanation:

Divide 59.50 by 5

Answer:

620000000

Step-by-step explanation: 6.2 10^8

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form,62*10^5 is the scientific notation of 6,200,000 kilograms

We need to express 6,200,000 kilograms using scientific notation in kilograms.

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.

We need to express 6,200,000 kilograms into scientific notation

The format for scientific notation is a x 10^b where a is a number or decimal number such that the absolute value of a is greater than or equal to one and less than ten or, 1 ≤ |a| < 10.

Now 62*10^5 is the required scientific notation.

Therefore 62*10^5 is scientific notation of 6,200,000 kilograms.

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Answer:

5x - 30

Step-by-step explanation:

I used the distributive property and I think I got it.

Answer:

5 x minus -30

x is equal to -6

hope this helped you

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