How much would $150 invested at 8% interest compounded continuously be worth after 17 years? Round your answer to the nearest cent.
A(t)= P•e^rt
A. $471.39
B. $555.00
C. $354.00
D. $584.43

Answer:

The fourth number line is the answer.

Step-by-step explanation:

[tex] - 18 > - 5x + 2 \geqslant - 48 \\ ( - 18 - 2) > - 5x \geqslant ( - 48 - 2) \\ - 20 > - 5x \geqslant - 50 \\ \\ \frac{ - 20}{ - 5} > x \geqslant \frac{ - 50}{ - 5} \\ \\ 4 > x \geqslant 10[/tex]

Answer:

Step-by-step explanation:

S.A. = (6 + 8 + 10) × 4 + 2(8 × 6) ÷ 2 = 144 mi²

It's the third option.

Completing the square yields

x ² + 9x + 7 = 0

(x ² + 9x + 81/4) + 7 = 81/4

(x + 9/2)² + 7 = 81/4

Now solving for x gives

(x + 9/2)² = 53/4

x + 9/2 = ± √(53/4) = ± √53/2

x = (-9 ± √53)/2

Answer:

B

Step-by-step explanation:

If the diameter of sphere B is 42, that means the radius is half, so it is 21.

The question is asking what multiplied by 24 is 21, or 21 divided by 24. 21/24 can be simplified to 7/8.

Answer:

A is a subset of B i believe that's the answer

Option 2

-3.5, -1/4, 1/3,2

Must click thanks and mark brainliest

Answer: Second option

-3.5 is less than -1/4 (1/4 = -0.25)

-1/4 is less than 1/3 (1/3 = 0.33)

1/3 is less than 2

Answer:

14.17 kilograms

Step-by-step explanation:

Find what quantity of tomatoes was in each batch by dividing the total amount of tomatoes by the number of batches:

99.19/7

= 14.17

So, the factory put 14.17 kilograms of tomatoes in each batch.

Answer:

8.7

Step-by-step explanation:

If you like my answer mark me brainliest

9514 1404 393

Answer:

  97

Step-by-step explanation:

We want to find x when C = 23.

  23 = 0.005x^2 -0.35x +10

  2600 = x^2 -70x . . . . . . subtract 10, multiply by 200

  2600 +35^2 = (x -35)^2 . . . . complete the square

  61.847 +35 = x . . . . . . . square root, add 35 (use the positive result only)

  x ≈ 97 . . . . rounded to integer

The cost is $23 when 97 coolers are produced.

Answer:

x-23

Step-by-step explanation:

if the number is x then you want to take 23 away so you have x-23

Answer:

Reflection

Step-by-step explanation:

Because reflecting yourself in a mirror means pre image to image

Answer:

Step-by-step explanation:

dilation

Step-by-step explanation:

f(1) = 3×1 - 1 = 2

f(4) = 3×4 - 1 = 12-1 = 11

so, the functional value changes 11-2=9 units on an x interval of 4-1=3 units length.

the average change rate is the total change across the x interval relative to the interval length.

that is

9/3 = 3

which is the slope (= the factor of x) in the line equation.

for a line its change rate for any point is the same constant. and that is therefore automatically also the average change rate across an interval of x values.

if the change rate would be different for different parts of the function, it would not be a straight line.

Answer:

3

Step-by-step explanation:

The average rate of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ 1, 4 ] , then

f(b) = f(4) = 3(4) - 1 = 12 - 1 = 11

f(a) = f(1) = 3(1) - 1 = 3 - 1 = 2

average rate of change = [tex]\frac{11-2}{4-1}[/tex] = [tex]\frac{9}{3}[/tex] = 3

9514 1404 393

Answer:

  2√3 ≈ 3.4641016

Step-by-step explanation:

Put the value where the variable is and do the arithmetic.

  (4x +4)^(1/2) at x=2 is ...

  (4·2 +4)^(1/2) = 12^(1/2) = 2√3 ≈ 3.4641016

__

Additional comment

If you really mean (4x+4)^1/2, then you have 12^1/2 = 12/2 = 6.

If the exponent is 1/2, it needs to be in parentheses.

Answer:

y=0.5x + 5

Step-by-step explanation:

The points are (0,5) and (-10,0)

to find the slope do

0-5/-10-0 = 5/10 = 1/2 = 0.5

next plug one of the points into point slope formula

y-y1=m(x-x1)

lets use the point (-10,0)

y1=0

x1= -10

m= 0.5

y-0=0.5(x- -10)

y = 0.5(x+10)

distribute the 0.5

y=0.5x+5

Answer:

5

Step-by-step explanation:

2x-7=3x-12

2x-3x=-12+7

-x=-5

x=5

[tex] \sqrt{2x - 7} - \sqrt{3x - 12 } = 0 \\ \sqrt{10 - 7} - \sqrt{15 - 12} = 0 \\ \sqrt{3} - \sqrt{3} = 0[/tex]

9514 1404 393

Answer:

  -5

Step-by-step explanation:

Micro is an SI prefix meaning 10^-6.

  82×10^-6 = 8.2×10^-5

Your exponent is -5.

Answer:

Hello,

Step-by-step explanation:

[tex]u_1\ is\ the \ first\ term\ of\ the\ gp\\q\ is \ the\ common\ ratio\\\\\\\boxed{u_n=u_1*\dfrac{q^n-1}{q-1} }[/tex]

Answer:

2x^5-10x^4-8x^3

Step-by-step explanation:

2x^3 ( x^2 - 5x-4)

Distribute

2x^3 * x^2  - 2x^3 -5x  -2x^3 *4

2 x^(3+2) - 10 x^(3+1) - 8x^3

2x^5-10x^4-8x^3

Answer:

No image I cannot tell you

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

c(2)=(-9/2)*(-4/3)^(2-1)=(-9/2)*(-4/3)=6

Answer: 1400 packages

Step-by-step explanation:

1150+1200+1900+1350 divided by the 4 day interval means and average of:

1400 packages per day

Answer:

19- 2(xy+yz+xz)

20- 16t(5-t)

Step-by-step explanation:

19) factor 2xy+2yz+2xz

2xy+2yz+2xz

=2(xy+yz+xz)

20) factor -16t^2 +80t

=80t-16t^2

=16(5t-t^2)

=16t(5-t)

im pretty sure its 0.19 because the sqyare root of 49 is 7. the square root of 1250 is 35.35

7/35.35=0.19

[tex]\\ \rm\Rrightarrow cosB+5cosB-6[/tex]

[tex]\\ \rm\Rrightarrow (1+5)cosB-6[/tex]

[tex]\\ \rm\Rrightarrow 6cosB-6[/tex]

[tex]\\ \rm\Rrightarrow 6(cosB-1)[/tex]

Answer:

6(cosB - 1)

BRAINLIEST, PLEASE!

Step-by-step explanation:

cosB + 5cosB - 6

6cosB - 6

6(cosB - 1)

[tex]\huge\mathsf\purple{ANSWER}:—[/tex]

[tex]0.6 = \frac{6}{10} = \frac{3}{5} [/tex]

0.6

[tex] \frac{6}{10} = \frac{3}{5} [/tex]

please mark this answer as brainlist

Answer:

425 or 937

Step-by-step explanation:

First, I listed out all the possible numbers for the first digits, namely, the squares under 10.

1*1=1

2*2=4

3*3=9

Since all the digits have to be different, the first digit cannot be 1 because 1 squared is 1. So that leaves us 4 and 9 to work with, which I tried out one at a time.

Starting with 4:

2 squared is 4.

42

2 times 2 plus 1 equals 5.

425

Starting with 9:

3 squared is 9.

93

2 times 3 plus 1 equals 7.

937

So here we have two numbers that both work and meet the requirements (unless I understood the problem wrong at the part where it says "...the second digit in the 3rd digit on one more than twice the second digit")!

I hope this helped! :D

The correct unit that matches the the perimeter, height and the area of the base is in, in, and in² respectively.

Given:

formula for surface area, SA = (P x h) + 2B

P is the the perimeter

h is the height

B is the area of the base

To find:

the corresponding units of the perimeter, height and the area of the base.

The correct unit that matches the the perimeter, height and the area of the base is in, in, and in² respectively.

Learn more here: https://brainly.com/question/3871993