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blagie [28]
3 years ago
12

At age 40 you deposit $150 at the end of each month into an IRA that pays 4% interest compounded monthly. At age 65, what will t

he value of the annuity be? Round your answer to the nearest cent, and do NOT include the dollar sign. Do NOT round until you have calculated the final answer.
Mathematics
1 answer:
Svetlanka [38]3 years ago
8 0

Answer:

Annuity= 242.4

Step-by-step explanation:

This is a compound interest problem.

The total amount at the end of 25 years will be

A = p(1+r/n)^(nt)

A = 150(1+(0.04/(25*12)))^ ((25*12)(25))

A= 150(1 + 0.04/300)^ (300*12)

A = 150(1+ 0.0001333)^ 3600

A = 150(1.0001333)^ 3600

A = 1500(1.615828808)

A= 242.374

A= 242.4 to the nearest cent

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Find the percent of the area under the density curve where x is more than 3. <br>​
Gekata [30.6K]

Answer:

The percent of the area under the density curve where x is more that 3 is 25 %.

Step-by-step explanation:

Since the density curve is a linear function, the area under the curve can be calculated by the geometric formula for a triangle, defined by the following expression:

A = \frac{1}{2}\cdot (x_{f} - x_{o})\cdot  (y_{f}-y_{o}) (1)

Where:

A - Area, in square units.

x_{f} - x_{o} - Base of the triangle, in units.

y_{f} - y_{o} - Height of the triangle, in units.

The percent of the area is the ratio of triangle areas under the density curve multiplied by 100 per cent, that is:

x = \frac{\frac{1}{2}\cdot (5-3)\cdot (0.25) }{\frac{1}{2}\cdot (5-1)\cdot (0.5) }\times 100\,\%

x = 25\,\%

The percent of the area under the density curve where x is more that 3 is 25 %.

7 0
3 years ago
A new car dealer offered to sell her demonstrator model for 90% of the retail price. If the sale price was $9,750, what was the
Rainbow [258]
The answer would be 10833.3 
4 0
4 years ago
Read 2 more answers
-4x + 7(x + (-2)) &gt; -18
professor190 [17]
-4x+7x-14
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3x>-4
X>-4/3
3 0
4 years ago
15y+31=61 how do I solve this
Setler79 [48]
15y + 31 = 61
15y = 61 - 31
15y = 30
y = 30 ÷ 15
<u>y = 2</u>
6 0
3 years ago
What would x equal( rounded to the nearest tenth)
masya89 [10]
You are given the opposite: 16 km
You need to find x (adjacent)
The angle measure: 28 degrees
With opposite and adjacent, use tangent
Tan(28) = 0.5317094317
Tan(28) = 16/x
x = 16/0.5317094317
x = 30.0916
Round to nearest tenth
Solution: x = 30.1 km
5 0
3 years ago
Read 2 more answers
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