You are planning to make monthly deposits of $400 into a retirement account that pays 10 percent interest compounded monthly. if your first deposit will be made one month from now, how large will your retirement account be in 40 years?

Answer:

790 m^2

Step-by-step explanation:

well in the figure we have to areas

the rectangle of the side

well the area of the rectangle is base times height

we have a base of 11 and a height of 17

[tex]A_{rs}=11*17\\\\A_{rs}=187[/tex]

the triangle

well the area of a triangle is base times height over 2

we have a base of 16 and a height of 15

[tex]A_t = \frac{16\cdot 15}{2}\\\\A_t= 8\cdot15\\\\A_t=120[/tex]

the rectangle of the base

we have a base of 16 and a height of 11

so

[tex]A_{rb} = 16\cdot 11\\\\A_{rb} = 176[/tex]

so the total area is

[tex]A_T = 2(A_{rs})+2(A_{t})+1(A_{rb})\\\\A_T= 2(187)+2(120)+1(176)\\\\A_T=374+240+176\\\\A_T = 790[/tex]

so that's our answer the surface area is 790 m^2

Answer:

80 gallons and a leaking problem.

Step-by-step explanation:

please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!

(lol optional): add my sc: tealyn337

Answer:

Each large box weighs 15.25 kg, and each small box weighs 6.25kg

Step-by-step explanation:

Let's define the variables:

A = weight of a large box.

B = weight of a small box.

We know that:

"A delivery of 5 large boxes and 3 small boxes has a total weight of 95 kilograms."

We can write this as:

5*A + 3*B = 95 kg

We also know that:

"A delivery of 2 large boxes and 6 small boxes has a total weight of 68 kilograms."

2*A + 6*B = 68kg

Then we have the system of equations:

5*A + 3*B = 95 kg

2*A + 6*B = 68kg

To solve this, the first step is to isolate one of the variables in one of the equations.

I will isolate the variable A in the second equation:

A = 68kg/2 - 6*B/2 = 34kg - 3*B

A = 34kg - 3*B

Now we can replace this in the first equation:

5*( 34kg - 3*B) + 3*B = 95 kg

170kg - 15*B + 3*B = 95 kg

170kg - 12*B = 95 kg

170kg - 95kg = 12*B

75kg = 12*B

75kg/12 = B = 6.25kg.

Now we can replace this on the equation A = 34kg - 3*B to find the value of A.

A = 34kg -3*6.25kg = 15.25kg

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

Explanation:

There are 8+11 = 19 movies that are either horror or mystery.

This is out of 9+12+8+11+4 = 44 movies total.

Divide the two sums to get 19/44 = 0.43181818181818 approximately.

This rounds to 0.432

There's roughly a 43.2% chance of picking a horror or mystery movie.

Answer:

[tex] |x - 12| + 6 = 56 \\ x - 12 + 6 = 56 \\ x - 6 = 56 \\ \boxed{x = 62} \\ |x - 12| + 6 = 56 \\ - (x - 12) + 6 = 56 \\ 12 - x + 6 = 56 \\ - x + 18 = 56 \\ - x = 38 \\ \boxed{x = - 38} \\ \boxed{A. \: x = 62 \: or \: x = - 38}[/tex]

Answer:

[tex]2(4 + 7) = 22[/tex]

[tex]3(\frac{1}{3} - p) = 1 - 3 p[/tex]

Step-by-step explanation:

Given

1 & 2

Required

Rewrite and simplify

[tex]1.\ 2(4 + 7)[/tex]

Apply distributive property

[tex]2(4 + 7) = 2 * 4 + 2 * 7[/tex]

[tex]2(4 + 7) = 8 + 14[/tex]

[tex]2(4 + 7) = 22[/tex]

[tex]2.\ 3(\frac{1}{3} - p)[/tex]

Apply distributive property

[tex]3(\frac{1}{3} - p) = 3*\frac{1}{3} - 3 * p[/tex]

[tex]3(\frac{1}{3} - p) = \frac{3}{3} - 3 * p[/tex]

[tex]3(\frac{1}{3} - p) = 1 - 3 * p[/tex]

[tex]3(\frac{1}{3} - p) = 1 - 3 p[/tex]

Answer:

sdfshefvhwedsbdhcfbHISE

Step-by-step explanation:

FSDSd

Answer:

x = 15 cm

Step-by-step explanation:

Triangle area:

[tex] area = \frac{(20)(15)}{2} = \frac{300}{2} = 150 \: cm[/tex]

Then rectangle area:

[tex]area = (10)(x) \\ 150 = 10x \\ x = \frac{150}{10} \\ x = 15 \: cm[/tex]

Answer:

Standard complex form 3/13 + 11/13i

Step-by-step explanation:

not sure  if this helps

Answer:

49097

Step-by-step explanation:

Well the answer was in delta math what can I say

Answer:

$49677.4

Step-by-step explanation:

Given data

Interest rate r= 5%

Final amount A = $77,000

time t= 9 years

let us apply the compound interest formula

[tex]A=P(1+r)^t[/tex]

Substitute

[tex]77000=P(1+0.05)^9\\\\77000=P(1.05)^9\\\\77000=P*1.55[/tex]

Divide both sides by 1.55

P=77000/1.55

P=$49677.4

Hence the principal amount should be $49677.4

Answer:

3b

Step-by-step explanation:

(2x+4)*3=b*3

6x+12=3b

That is what i learned from school, hopes this helps

Answer:

180-118= 62

Answer is angle E= 62

Step-by-step explanation:

Vertical opposite angle of 118 is 118

So, we found out the interior angle. And sum of interior angles is 180. So you subtract 118 from 180 to get angle E.

Hope this helps!!!

Answer:

E is 62

Step-by-step explanation:

First find any angle relationships with the angle 118.

You can see that 118 can go next to E (corresponding angles).

That is a straight line, so in total it will 180 degrees.

180-118 would be E.

180-118 is 62.

hope this helps! :)

Answer:

c=64.2

Step-by-step explanation:

Answer:

Using the point (-2,-4) it would be:

y + 4 = 1/3(x + 2)

Using the point (4,-2) it would be:

y + 2 = 1/2 (x - 4)

Step-by-step explanation:

hope this helps :)

Answer:

if you mean the power of these letters then the answer is

x^2,y^2 and z

as they are common in both lists

Answer: 8x^2 - 10x - 3

Step-by-step explanation:

first, we multiply the parentheses.

2x x 4x + 2x - 3 x 4x - 3

then, we calculate all of that junk.

8x^2 + 2x - 12x - 3

finally, we collect the like terms.

8x^2 - 10x - 3

Answer:

8x^2-10x3

Step-by-step explanation:

8x^(add the 2 upbove the x)-10x-3

Answer: (6,8)

Step-by-step explanation:

Answer:

(6,8)

Step-by-step explanation:

Answer:

you just changfe it as u switch it

Step-by-step explanation:

Answer:

x = 200 students

y = 300 non-students

hope that helps

Answer:

453/ 2 = 226.5 rounds to 227

672/ 5 = 134.4 rounds to 134

1,294/ 4 = 323.5 rounds to 326

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

It is letter A I got 100!

Answer:

A

Step-by-step explanation:

EDGE 2021