Find the total future amount for $500 invested at 3.99% for 8 years compounded
monthly
State your answer in terms of dollars rounded to the nearest cent (hundredth).

[tex]~~~~~~ \stackrel{\textit{for the first 2 years}}{\textit{Continuously Compounding Interest Earned Amount}} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$18400\\ r=rate\to 2.991\%\to \frac{2.991}{100}\dotfill &0.02991\\ t=years\dotfill &2 \end{cases} \\\\\\ A = 18400e^{0.02991\cdot 2}\implies A = 18400e^{0.05982}\implies A\approx 19534.276[/tex]

now let's grab that amount and invest it for the remaining 7 years at 4.192% compounded.

[tex]~~~~~~ \stackrel{\textit{for the last 7 years}}{\textit{Compound Interest Earned Amount}}\\\\A=P\left(1+\frac{r}{n}\right)^{nt}\quad\begin{cases}A=\textit{accumulated amount}\\P=\textit{original amount deposited}\dotfill &\$19534.276\\r=rate\to 4.192\%\to \frac{4.192}{100}\dotfill &0.04192\\n=\begin{array}{llll}\textit{times it compounds per year}\\\textit{yearly meaning once}\end{array}\dotfill &\\t=years\dotfill &7\end{cases}[/tex]

[tex]A=19534.276\left(1+\frac{0.04192}{1} \right)^{1\cdot 7}\implies \boxed{A\approx 26039.82}[/tex]

Answer:

0.3 miles per hour

Step-by-step explanation:

Speed is distance divided by time so your equation is 45 divided by 150. 45 divided by 60 plus 60 plus 30 = 150 45 divided by 150= 0.3

Answer:

3110+45=3155

Step-by-step explanation:

just add them to

Answer:

New points:

N: (4,-5)

X: (2,-3)

B: (-1,-4)

Step-by-step explanation:

Rotate about the origin (0,0) counter clockwise 90 degrees

Answer:

1.x=12

6/12 divided by 3 for both denominator and numerator

2. x=5

2/10 divided by 3 for both denominator and numerator

5. x=60

60/100 divided by 20 for both denominator and numerator

Find out #3 for yourself

Step-by-step explanation:

Hope this helps I really tried

By analyzing the graph, we can see that plan B is cheaper for the interval [0, 4), while plan A is better if you look 4 or more movies per month.

We know that plan A costs $14 per month plus $2 per movie, so if you watch x movies, the cost is:

C₁(x) = $14 + $2*x

Plan B costs $10 per month plus $3 per movie, so if you watch x movies, the cost is:

C₂(x) = $10 + $3*x

Now to compare the costs, you can see the graph at the end. Where C₂(x) is the blue line, and C₁(x) is the green line.

In the graph, you can see that between x = 0 and x = 4, the blue line is below the green one. So, in the interval [0, 4) plan B is cheaper.

While for x > 4, the green line is below the blue one, so for x > 4 you should choose plan A.

If you want to learn more about linear equations, you can read:

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Answer:

5x + 28 = 7x - 4

2x = -32

x = -16

Answer:

y < 3/4 x

(We don't put another number at the end, if the y-intercept is 0, btw.)

Step-by-step explanation:

We know that the line has a positive slope, because it's going upwards to the right.

(We can use rise/run to determine the exact slope: Just go up 3 units and to the right 4 units, starting from the first point. Now we know the slope is 3/4).

Further more we know that the y-intercept is 0, because that's the point in which the line crosses the y-axis.

We also know that since the line is dotted, the sign will be either < or >.

And the shaded area below indictes that y is lesser than, meaning we use this sign <.

Hope this helps you :)

Answer:

5 to 1 power

Step-by-step explanation:

Answer:

5^(15) or 5 to the 15th power

Step-by-step explanation:

When simplified, both equal to 305175..

Answer:

Step-by-step explanation:

Let w represent the width of the rectangle in meters. Then (2w-3) is the length. The area is the product of length and width:

  A = LW

  65 = (2w-3)(w)

  2w² -3w -65 = 0

  (2w -13)(w +5) = 0 . . . . . . . factor

  w = 6.5 . . . . . . . . the positive solution

  2(6.5) -3 = 10 . . . the length of the rectangle

The width of the rectangle is 6.5 meters; the length is 10 meters.

Answer:

Part A: 1 solution

Part B:

3(2x-7)=3

6x-21=3

  +21  +21

6x=24

/6    /6

x=4

X=24

Step-by-step explanation:

First you distribute 3(2x-7)=3 to 6x-21=3. Next you do inverse operations by adding 21 to both sides of the equation to get 6x=24. Finally you divide both sides by 6 to get x=4

Answer:

4/4 is equal to 1 is the only one that's correct

Step-by-step explanation:

Answer:

4/4 and 1/3 are the correct statements

Answer:

Step-by-step explanation:

9b²c² = (3bc)²

100m²n⁶ = (10mn³)²

I hope I've helped you.

Answer:

True

Step-by-step explanation:

If you divide 180 by 30 you will get 6. then 6 times 5 is 30. If you add 30 to 330 you will get 360. If you take 180 boxes for 30minutes and double. You get 360 boxes in 60minutes. If 5 minutes is 30 boxes. Subtract 30 from 360 and you get 330 in 55 minutes.

Answer: 275835.5

because 7072.7 times 39

A perpendicular bisector of a line segment is a line which divides the line segment into two equal parts. So here, PS = PQ

=》 PS = 3a

=》 PQ = a + 16

PS = PQ

3a = a + 16

3a - a = 16

2a = 16

a = 16/2

a = 8.

_______

RainbowSalt2222 ☔

Step-by-step explanation:

[tex] = \frac{8 \times {10}^{24} }{ 2\times {10}^{18} } [/tex]

[tex] = \frac{8}{2} \times {10}^{24 - 18} [/tex]

[tex] = 4 \times {10}^{6} [/tex]

[tex] \: [/tex]

[tex] \frac{8 \times {10}^{24} }{2 \times {10}^{18} } = 4 \times {10}^{6} [/tex]

Answer:

[tex] \sf \frac{8 \times {10}^{24} }{2 \times {10}^{18} } = ... \times {10}^{?} [/tex]

[tex] \sf (8 \div 2) \times {10}^{(24 - 18)} =... \times {10}^{?} [/tex]

[tex] \sf4 \times {10}^{6} = ... \times {10}^{?} [/tex]

[tex]↪4 \times {10}^{6} [/tex]

Answer:

Yes 1.25 is closer to 1.04

Step-by-step explanation:

Hope this helps!

Answer:

1.25 is not closer to 1.04 because it's like, 1 dollar and 4 cents; compared to 1 dollar and 25 cents. Obviously 25 cents is more than 4 cents.

1.25 rounded:

1.30

1.04 rounded:

1.00

Answer:

8:03

Step-by-step explanation:

time=speedxdistance

t=1/15x3

t=3/15hr

t=.2hr

t=12 mins

plus 15 mins to lock up bike, 27 mins

27 mins before 8:30 is 8:03

pls mark branliest

Answer:

1404.81

Step-by-step explanation:

1277.1 +127.71 =  i read it wrong the first time sorry

The total amount paid to harry in past week, is 299.28.

Amount is the sum or the total value.

For example, if A purchase 2 kg rice at the price of 40 rs/kg, the amount will be 40×2= 80 rs.

Given that,

The amount paid to Harry for 1 hour = $8.60

Since, Harry worked for 33 hours,

So, The amount paid to Harry for 33 hours = 8.60×33=283.8

Harry gets half times more amount than hourly rate and also gets bonus for last 3 days

So for last 3 days the extra amount paid to Harry

= 3×1/2×8.60+3×1/10×8.60

= 12.9+2.58

=15.48

So the total amount paid to harry = 283.8+15.48=299.28

To know more about amount on :

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#SPJ2

Answer:

1840 amd 710

Step-by-step explanation:

Answer:

Dina took 12/8 = 3/2 hrs

So, if Masha's speed was x

3/2 x = 12-3

x = 6 mi/hr

Answer:

Step-by-step explanation:

Dina finished in a time of

12 mi / 10 mi/hr = 1.2 hr  

Masha's speed is (12 - 4 mi) / 1.2 hr = 6⅔ mph

Answer:

6x+23

Step-by-step explanation:

8x-18+2x+23

8x-2x+5+18

6x+23

Answer:

XR=19

Step-by-step explanation:

Since the entire thing of XZ equals 8x-18 and one side of the line equals 2x+5 we will need another half to get the entire thing.

8x-18=4x+10

4x=28

x=7

Now we have to plug the x in

2(7)+5

=19

Based on the information given, the total cost incurred based on the equation given as C= 125q + 13500 will be 47250.

From the information given, the cost function is given as C=125q + 13500 while the value of q is given as 270. Therefore, on order to find the cost, we'll slot in the value of q into the equation given. This will be:

C=125q + 13500

C = 125(270) + 13500

C = 33750 + 13500

C = 47250

In conclusion, the cost is 47250.

Read related link on:

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Answer:

4.148148149

Step-by-step explanation:

that's the answer

Step-by-step explanation:

2a-1/3 / b/15

[tex](2 \times \frac{ - 3}{5 } ) \div \frac{ - 6.75}{15} \\ = \frac{ - 6}{5} \times \frac{15}{ - 6.75} \\ = \frac{18}{6.75} [/tex]

Answer:

Step-by-step explanation:

30F + 55S = 45(437.5)

30F + 55S = 19687.5

30F = 19687.5 - 55S

F = (19687.5 - 55S) / 30

30((19687.5 - 55S) / 30) + 55S = 19687.5

S = 0 (30%)

F = (19687.5 - 55S) / 30 (55%)

Answer: 18)  there are 27 students

i am new to this so i am sorry if i got this wrong

Step-by-step explan If there are 22 students add 22+5 and the anwser is 27