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Lelechka [254]
3 years ago
6

You want to be able to withdraw the specified amount periodically from a payout annuity with the given terms. Find how much the

account needs to hold to make this possible. Round your answer to the nearest dollar. Regular withdrawal: $1200 Interest rate: 2.5% Frequency monthly Time: 26 years
what is the account balance?​
Mathematics
2 answers:
fgiga [73]3 years ago
7 0

9514 1404 393

Answer:

  $275,098.25

Step-by-step explanation:

The principal amount can be found using the annuity formula.

 A = P(r/12)/(1 - (1 +r/12)^(-12t))

where A is the monthly payment, P is the principal amount, r is the annual interest rate, and t is the number of years.

Solving for P, we have ...

  P = A(12/r)(1 -(1 +r/12)^(-12t)) = 1200(12/0.025)(1 -(1 +.025/12)^(-12·26))

  = $275,098.25

The account balance needs to be $275,098.25.

jekas [21]3 years ago
4 0

Step-by-step explanation:

principal=?. interest=$1200. rate =2. 5%. time=26 NOW, principal=I×100/T×R= $1200×100/26×2. 5=1846. 15

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I built a storage shed in the shape of a rectangular box on a square base. The material that I used for the base cost $4 per squ
kumpel [21]

Answer:

side of 6.124 ft and height of 3.674 ft

Step-by-step explanation:

Let's s be the side of the square base and h be the height of the rectangular box.

The base and the roof would have an area of s^2 and cost of

4s^2 + 2s^2 = 6s^2

The sides would have an area of 4sh and cost of 4sh*2.5 = 10sh

So the total cost for the material is

6s^2 + 10sh = 450

10sh = 450 - 6s^2

h = 45/s - 0.6s

The volume of the shed has the following formula

V = s^2h = s^2(45/s - 0.6s) = 45s - 0.6s^3

To find the maximum value for V, we can take its first derivative, and set it to 0

\frac{dV}{ds} = 45 - 1.2s^2 = 0

1.2s^2 = 45

s^2 = 45 / 1.2 = 37.5

s = \sqrt{37.5} = 6.124 ft

h = 45/s - 0.6s = 3.674 ft

4 0
3 years ago
Please Help me solve this. Easy Five Points.
Sveta_85 [38]

Answer:

\frac{5}{6}

Step-by-step explanation:

5 = 6y

y = \frac{5}{6}

8 0
2 years ago
Two triangles have altitudes of equal length. if the areas of these triangles have a ratio of 3:4 then the bases of the triangle
MatroZZZ [7]
Answer:
3/4
Area of the small triangle/Area of larger triangle=3/4

Area of the small triangle/Area of larger triangle=(1/2×base of small triangle×length)/(1/2×base of larger triangle×height)
3/4=(1/2×base of small triangle×height)/(1/2×base of larger triangle×height)
Since the length of the triangle are equal the base ratio of the two triangles is the same as area ratio.
5 0
3 years ago
Una llave llena un tanque en 4 horas y el desagüe lo vacía en 6 horas. ¿En cuánto tiempo se llenará el tanque, si ambas llaves s
Sholpan [36]

Answer:

Creo que la respuesta sería B: 2 horas y 15 minutos.

Step-by-step explanation:

7 0
3 years ago
Sam has bought a camera for $200 when it was on 20% off sale. What was the original price of the camera
Olenka [21]
Original price = x
x - .2x = 200  ← original price - discount amount = sale price
.8x = 200     ← 1x - 0.2x = .8x
x = 250      ← divided both sides by .8

The original price was $250
5 0
3 years ago
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