a submarine is 50 meters below sea level. It goes up 15 meters and down 40 meters. What is the submarines new position relative to sea level

Answer: C) You choose account #2

===================================================

Explanation:

Let's compute the final balance for account 1.

We'll use the compound interest formula

A = P*(1+r/n)^(n*t)

where,

where in this case

So with all that in mind, we get

A = P*(1+r/n)^(n*t)

A = 10,000*(1+0.035/4)^(4*10)

A = 14,169.0883793113

A = 14,169.09

Account #1 gets us $14,169.09 which is over our goal of $14,000

--------------------------

Let's repeat this idea for account 3. I'll get back to account 2 in the next section.

For account 3, we have these inputs

leading to...

A = P*(1+r/n)^(n*t)

A = 10,000*(1+0.032/1)^(1*10)

A = 13,702.4104633564

A = 13,702.41

This isn't larger than 14,000. So we cannot use account 3. The interest rate is too small and needs to be bumped up.

--------------------------

Now let's compute account 2. We'll use the continuously compounded interest formula which is

A = P*e^(rt)

The P, r and t are the same as before. The 'e' is a constant and it's roughly e = 2.718... similar to how pi = 3.14... approximately.

I recommend using the calculator's stored value of 'e' to get as much accuracy as possible.

So,

A = P*e^(rt)

A = 10,000*e^(0.036*10)

A = 14,333.2941456052

A = 14,333.29

This exceeds 14,000 so we can use this account.

Comparing this to account 1's value (14,169.09), we can see that account 2 gets us the most money over the 10 year time period. Not only does account 2 have the higher interest rate, but it also has an infinitely higher compounding frequency as well. These two factors help contribute as to why account 2 beats out account 1.

This is why we should go for account 2.

Answer:

3 hours 26 minutes

Step-by-step explanation:

26 minutes(9.34am to 10am)+3 hours(10am to 1pm)=3 hours 26 minutes

The total time that she spend fixing her bicycle is 3 hr 26 minutes

Given the following parameters

Time that Olivia starts fixing bicycle= 9:34 am

Time she finishes = 1pm

The total number of hours spent from 9:34am and 12:34pm is 3 hrs. The remaining minutes to 1 pm is 26 minutes.

Hence the total time that she spend fixing her bicycle is 3 hr 26 minutes

Learn more on time here: https://brainly.com/question/2854969

#SPJ6

first simplify the equation and then divide by 3/3 it will give you the correct answer.

hope it helps...

Step-by-step explanation:

[tex]y - ( - 2) = \frac{2}{3} (x - 1) \\ \\ y + 2 = \frac{2}{3} (x - 1) \\ dividing \: each \: side \: by \: \frac{3}{3} \\ \\ \frac{3}{3} (y + 2) = \frac{2}{3} \times \frac{3}{3} (x - 1) \\ \\ y + 2 = 2 \times 3(x - 1) \\ y + 2 = 6(x - 1) \\ y + 2 = 6x - 6 \\ y = 6x - 6 - 2 \\ y = 6x - 8[/tex]

[tex] \large\begin{gathered} {\underline{\boxed{ \rm {\red{Volume \: \: of \: \: cylinder \: = \: \pi \: {r}^{2} \: h }}}}}\end{gathered}[/tex]

⇥Volume of the cylinder = π r² h

⇥Volume of the cylinder = 3.14 × 36 × 16

⇥Volume of the cylinder = 113.04 × 16

⇥Volume of the cylinder = 1808.64

Hence , the volume of cylinder is 1808.64 cm²

Answer:

the answer is 5

Step-by-step explanation:

11 substract 6 is equal to 5

Answer:

x = -1/2

Step-by-step explanation:

-10x = 5

Divide both sides by -10.

x = -1/2

Answer:

I'm pretty sure is

Positive b

Answer:

1) 6r+7=13+7r —> 7r–6r=7–13 —> r = – 6

2) 13–4x=1–x —> 4x–x=13–1 —> 3x=12 —> x=12/3 —> x=4

3)–7x–3x+2=–8x–8 —> –8x+7x+3x=2+8 —> 2x=10 –> x= 10/2 –> x= 5

4)–8–x=x–4x —> –x–x+4x=8 —> 2X=8 —> x= 8/2 —> x= 4

5) –14+6b+7-2b=1+5b —> 5b +2b –6b = –14+7–1 —> b=–8

6) n+2=–14–n —> n+n=–14–2 —> 2n = –16 —> n = – 16/ 2 —> n = – 8

7) n – 3n = 14 –4n —> n –3n + 4n = 14 —> 2n = 14 —> n = 14/ 2 —> n = 7

8) 7a – 3 = 3 + 6a —> 7a – 6a = 3 + 3 —> a = 6

9) 3(1–3x ) =2(–4x+7) —> 3 –9x = –8x+14 —> 9x–8x = 3–14 —> x = –11

10) –10 +x+4–5 =7x –5 —> 7x–x = –10+4–5 +5 —> 6x = –6 —> x= –6/6 —> x = –1

11) –8n +4(1+5n)=–6n–14 —> –8n +4 + 20n = – 6n– 14

20n –8n +6n= –14 –4 —> 18n = – 18 —> n = –18/18 —> n = –1

12) –6n–20=–2n +4(1–3n) —> –6n –20 = – 2n +4 –12n —> 12n +2n –6n = 4 +20 —> 8n =24 —> n = 24/8 —> n =3

I hope I helped you^_^

Answer:

1.

6r + 7 = 13 +7r

6r - 7r = 13-7

-r = 6

r = 6

2.

13 - 4x = 1-x

-4x +x = 1 -13

-3x = -12

x = -12 / -3

x = 4

3.

-7x - 3x + 2 = -8x -8

-10x +2 = -8x -8

-10x +8x = -8 -2

-2x = -6

x = -6 / -2

x = 3

4.

-8 - x  = x- 4x

-8 - x  = -3x

-x + 3x = -8

2x = -8

x = -8 / 2

x = -4

5.

-14 + 6b + 7 -2b = 1 + 5b

-7 + 4b = 1 + 5b

4b - 5b = 1 + 7

-b = 8

b = -8

6.

n + 2 = -14 -n

n + n = -14 -2

2n = - 16

n = -16 / 2

n = -8

7.

n - 3n = 14 -4n

-2n = 14 - 4n

-2n +4n = 14

2n = 14

n = 14 /2

n = 7

8.

7a - 3 = 3 + 6a

7a - 6a = 3 +3

a = 6

9.

3 ( 1 - 3x ) = 2 (-4x + 7)

3 - 9x = -8x +14

-9x +8x  = 14 - 3

-x = 11

x = -11

10.

-10 + x + 4 - 5 = 7x - 5

-10 +x -1 = 7x - 5

-11 + x = 7x - 5

-11 + 5 = 7x -x

-6 = 6x

x = -6/6

x = -1

11.

-8n + 4 ( 1 + 5n ) = -6n -14

-8n + 4 + 20n = -6n -14

12n +4 = -6n -14

12n  + 6n = -14 -4

18n = -18

n = -18/18

n = -1

12.

-6n - 20 = -2n + 4 ( 1 - 3n)

-6n - 20 = -2n + 4 - 12n

-6n - 20 = -14n +4

-20 -4 = -14n +6n

-24 = 8n

n = -24/8

n = -3

Hi.

Let's call X number of visits.

so members pay for a year : membership 24 and reduce entrance at 3 dollars.

so you member pay : 3X+24

a non member pay entrance fee of 6 for each visit.

so 6X

Question : for how many visit would a membership will be more intresting than standar entrance ?

3X+24 = 6X

3X-6X = -24

-3X=-24

X= -24/-3

X =24/3

X= 8

Under 8 visit a year, it's cheaper non being a member.

at 8 entrance cost is the same for members and non member. After it better to choose membership as

9 entrances for member is : 3x9 +24 = 27+24= 51

non member : 9x6 = 54

And so on for each supplementary visits.

Answer:

1260

Step-by-step explanation:

S=180(9-2)

S=180(7)

S=1260

Answer:

Step-by-step explanation:

[tex]S=180(n-2) \\ n = 9[/tex]

Substitute 9 for n

[tex] S=180(9 - 2) \\ S = 180(7) \\ S = 180 \times 7 \\ S = 1260[/tex]

Answer:

₦40.30

Step-by-step explanation:

Step 1: Find how much each person gets equally

Divide 142 by 3

[tex]142 \div 3\\\\= 47.3[/tex]

Each person's share is ₦47.3

Step 2: Find out how much Ore, Tobi, and Mary has

Subtract 11 from Ore's share

[tex]47.3 - 11\\\\= 36.3[/tex]

Add that 11 to Mary's share

[tex]11 + 47.3\\\\= 58.3[/tex]

Subtract 7 from Tobi's share

[tex]47.3 - 7\\\\= 40.3[/tex]

Add that 7 to Ore's now-share

[tex]36.3 +7\\\\=43.3[/tex]

Tobi's share is 40 naira and 30 kobo

Extra Info:

To see if it is correct, confirm the answer by adding all their shares.

Okay follow these patterns and you will always get your answer

Cone = (13)πr2h, where r is the radius and h is the height.

Cube = s2, where s is the length of the side.

Cylinder = πr2h, where r is the radius and h is the height.

Rectangular prism= l×w×h, where l is the length, w is the width and h is the height.

Sphere = (43)πr3, where r is the radius.

ANSWER: (D) 904.78 cm^3

[tex]\\ \sf\longmapsto cos\theta=\dfrac{3}{\sqrt{13}}[/tex]

We know

[tex]\boxed{\sf sin^2\theta=1-cos^2\theta}[/tex]

[tex]\\ \sf\longmapsto \sin( \theta) = \sqrt{1 - { \cos}^{2} \theta } \\ \\ \sf\longmapsto \sqrt{1 - {( \frac{3}{ \sqrt{13} }) }^{2} } \\ \\ \sf\longmapsto \sqrt{1- \frac{ {3}^{2} }{ {( \sqrt{13)} }^{2} } } \\ \\ \sf\longmapsto \sqrt{1 - \frac{9}{13} } \\ \\ \sf\longmapsto \sqrt{\frac{13 - 9}{13} } \\ \\ \sf\longmapsto \sqrt{ \frac{4}{13} } \\ \\ \sf\longmapsto \frac{2}{ \sqrt{13} } [/tex]

The sequence or object patterns can be used to find exact values when the level of the pattern increases or decrease

The mathematical expression that connects the number of tiles and the grouping method is presented as follows;

tₙ = 9 + (n - 1)× 3

Reason:

Known parameter:

From the given diagram, we have that the number of green tiles = 18

Question: The missing parts of the question are;

Grouping method 1 having 15 green colored tiles with Figure size 3

We have;

Grouping method 1

The figure size number of the shape with 15 green colored tiles = 3

Grouping method 2, figure size 4

The figure size number of the shape with 18 green colored tiles = 4

By examination, we get;

The size number of the shape with 12 green colored tiles = 2

The size number of the shape with 9 green colored tiles = 1

Therefore the sequence is an arithmetic progression having the following characteristics;

nth term, tₙ = a + (n - 1)·d

The first term, a = 9

The common difference, d = 3

The mathematical expression that connects the grouping methods above, and gives the number of green tiles, tₙ, is tₙ = 9 + (n - 1)× 3

Where;

n = The grouping method number

For easy calculation;

The number of green tiles is given by the equation, tₙ = 9 + (n - 1)× 3

Learn more about number sequence here:

https://brainly.com/question/12474324

Cost of each Hamburger = $3

Cost of 90 Hamburgers = 3×90

= $270

Therefore cost of 90 hamburgers is $270

Must click thanks and mark brainliest

Well, all we have to do is add, so:

6 + (-47) =

6 - 47 =

-41

Answer:

(-41)

Step-by-step explanation:

Subtract and write big numbers sign.

47 - 6= (-41)

Answer:

blue line 0-(3)=-3

Red line -3-(6)=-9

Answer:

x = 139

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angle

x = 49 +90

x = 139

An exterior angle of a triangle is equal to the sum of its interior opposite angles.

[tex] \bf \large \implies \: x \: = \: 49 \degree \: + \: 90 \degree[/tex]

[tex] \bf \large \implies \: x \: = \: 139 \degree [/tex]

Step-by-step explanation:

1. The equation graph is a parabola, so the maximum height will be the vertex of the parabola. You can find the vertex coordinate t using the formula:

t = -b/2a

t = -18/2•(-4.9)

t = -18/-9.8

t = 1.84 seconds

2. The height of the ground is 0, so the balls hit the ground when the equation result is 0:

0 = -4.9t²+18t+10

Now you solve it using Bhaskara:

Δ = b² -4ac

Δ = 18² -4•(-4.9)•10

Δ = 520

t = (-b ±√Δ)/2a

t = (-18 ± √520)/2•(-4.9)

t1 = (-18 - 20.8)/-9.8

t1 = 3.96 seconds

t2 = (-18 +20.8)/-9.8

t2 = -0.28

Doesn't exist negative time, so we pick the first value found, t = 3.96 seconds

3. Now you just need to put 3 in place of t to find the result:

h = -4.9•3² +18•3 +10

h = -4.9•9 + 54 + 10

h = -44.1 + 64

h = 19.9 meters

4. You just need to put 1 in place of t to find the height:

h = -4.9•1²+12

h = -4.9+12

h = 7.1 meters

Answer:

5/10

Step-by-step explanation:

Hope it helped you

I am not confident, so feel free to give me less rating

Answer:

Does the answer help you?

Step-by-step explanation:

21 ÷ 6 = $ 3. 50 each

I hope this answers your question

Answer:

The price for one comic book is $3.5

Answer:

its easy as making a cake

Step-by-step explanation:

always remember that

volume of a rectangular prism = area of the base x depth

AND

volume = 72

depth. = 3

it means we have to multiply 72 with 3

so we get

72 x 3 = 216

it means that the volume of the swimming pool is 216.

hope it helps you

have a nice day dear

The required expression will therefore be:

(3×18) + (5×6) + 4

Her total score is 88points :

From the question given, we are told that Samantha scored 3 points for each of 18multiple questions his means that the total points made here is expressed as:

(3 × 18) ...1

If she got 5 points for each of the 6 short responsmultiple choice questione questions she answered

correctly, the total point made will be expressed as;

(5×6) ... 2

Total score for an additional 4 points for the bonus question will be "4"

Expression for her total score will be the sum of all the expression above as thus:

(3×18) + (5×6) + 4

Taking the sum, her score will be:

= (3×18) + (5×6) + 4

= 54 + 30 + 4

= 84 + 4

= 88 points

The required expression will therefore be:

(3×18) + (5×6) + 4

Her total score is 88points

Learn more about sum here: brainly.com/question/16397188

Answer:

(2, 0) and (0, 4) are coordinates in the form of (x, y)

(2, 0) -> x = 2, y = 0

(0, 4) -> x = 0, y = 4

Answer:

£10.1

Step-by-step explanation:

Highest exchange rate=1.3401

Lowest exchange rate=1.3199

The money Khan would have received more if he exchanged currencies at the highest rate compared to the lowest rate=500*(1.3401-1.3199)=£10.1