1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
irina [24]
3 years ago
7

Georgians bank account has a current balance of -$25 .50 said she deposit under $20 into account each month how much money will

she have in the account after four months
Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
3 0

Answer: $54.50

Step-by-step explanation: If the bank account is currently overdrawn by $25.50, and then they deposit $20 per month for four months, they will have $54.50 in the account at the end of 4 months.

It is solved by multiplying 4 months x $20 = $80

Next, subtract (or add a negative) -$25.50 = $54.50

You might be interested in
Find the volume of the solid.
dmitriy555 [2]

In Cartesian coordinates, the region (call it R) is the set

R = \left\{(x,y,z) ~:~ x\ge0 \text{ and } y\ge0 \text{ and } 2 \le z \le 4-x^2-y^2\right\}

In the plane z=2, we have

2 = 4 - x^2 - y^2 \implies x^2 + y^2 = 2 = \left(\sqrt2\right)^2

which is a circle with radius \sqrt2. Then we can better describe the solid by

R = \left\{(x,y,z) ~:~ 0 \le x \le \sqrt2 \text{ and } 0 \le y \le \sqrt{2 - x^2} \text{ and } 2 \le z \le 4 - x^2 - y^2 \right\}

so that the volume is

\displaystyle \iiint_R dV = \int_0^{\sqrt2} \int_0^{\sqrt{2-x^2}} \int_2^{4-x^2-y^2} dz \, dy \, dx

While doable, it's easier to compute the volume in cylindrical coordinates.

\begin{cases} x = r \cos(\theta) \\ y = r\sin(\theta) \\ z = \zeta \end{cases} \implies \begin{cases}x^2 + y^2 = r^2 \\ dV = r\,dr\,d\theta\,d\zeta\end{cases}

Then we can describe R in cylindrical coordinates by

R = \left\{(r,\theta,\zeta) ~:~ 0 \le r \le \sqrt2 \text{ and } 0 \le \theta \le\dfrac\pi2 \text{ and } 2 \le \zeta \le 4 - r^2\right\}

so that the volume is

\displaystyle \iiint_R dV = \int_0^{\pi/2} \int_0^{\sqrt2} \int_2^{4-r^2} r \, d\zeta \, dr \, d\theta \\\\ ~~~~~~~~ = \frac\pi2 \int_0^{\sqrt2} \int_2^{4-r^2} r \, d\zeta\,dr \\\\ ~~~~~~~~ = \frac\pi2 \int_0^{\sqrt2} r((4 - r^2) - 2) \, dr \\\\ ~~~~~~~~ = \frac\pi2 \int_0^{\sqrt2} (2r-r^3) \, dr \\\\ ~~~~~~~~ = \frac\pi2 \left(\left(\sqrt2\right)^2 - \frac{\left(\sqrt2\right)^4}4\right) = \boxed{\frac\pi2}

3 0
1 year ago
The speed of light is about 3x10^8 m/s what is the speed of light in kilometers per hour
BigorU [14]
3*10^8 \frac{m}{s}  \\\\ 1m\to 10^{-3}km \\\\ 1s\to 36*10^{-4} h \\\\\\ 3*10^8* \frac{10^{-3}km}{36*10^{-4}s}= 10^8 * \frac{10^{-3}*10^4km}{12s}= \\\\ =10^8* \frac{10m}{12s}= \\\\ =10^8* 83*10^{-2} \frac{m}{s}=\\\\= \boxed{83*10^6 \frac{m}{s}}
8 0
3 years ago
Read 2 more answers
NEED HELP PLEASE!!!!!!!!!!!!!!!
leonid [27]

Answer:

The answer to your question is: 40°

Step-by-step explanation:

Due to the directions, we can know that KL is parallel to GH, then the

∠ FKL ≡ ∠ FGH =  40

7 0
3 years ago
Write the fraction 12/28 in the simplest form
ad-work [718]

Answer: 3/7

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
I have a triangle with angles measuring 40, 40, and 100. Is this one a unique triangle, many triangles, or no triangle?
juin [17]

Answer:

Unique triangle.

Step-by-step explanation:

If you were to draw the triangle, you would've been able to see that one angle is open and that the other 2 were closed.

5 0
3 years ago
Other questions:
  • Whats the answer to (2w - 9) + (-4w -5)
    6·2 answers
  • PLEASE HELP ME ILL GIVE YOU POINTS
    7·1 answer
  • Solve the equation-3y = 21 using inverse operations. What is the inverse operation step? What is the solution?
    7·2 answers
  • PLEASE HELP,I AM BEING TIMED!!<br> Measure the angle of 2<br><br> Options: 100<br> 120<br> 30<br> 60
    13·2 answers
  • 5 is subtracted from the square of a number.
    15·2 answers
  • Which group of numbers is ordered from greatest to least?​
    8·2 answers
  • GUYS PLEASE HELPP PLSPLSOLSOAKGDJXG​
    5·1 answer
  • Find the values of x, y, and z in the triangle to the right
    9·1 answer
  • What is k in this proportional relationship?
    8·2 answers
  • What is another way to write the calculation add 16 and 25, and then multiply by 47?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!