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ehidna [41]
3 years ago
10

Help to solve math, I have not solve

Mathematics
1 answer:
aivan3 [116]3 years ago
7 0
...........Hope this helps :)

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Case Study 2: Maxing out Matched Savings
zhuklara [117]

Answer:

The computation of the given question is shown below:-

Total Contributions = Monthly contribution + Amount invested in Ferdinand’s 401(k)

= $250 + $125

= $375  

1. Future Value = PMT [((1 + r)n - 1) ÷ r

Future value = 375 × ((1 + 0.03 ÷ 12) × 12 × 40 - 1) ÷ (0.03 ÷ 12)

= $347,272

2. Ferdinand deposit = Given Amount × Total number of months in a year × Number of years

= $250 × 12 Months × 40 Years

= $120,000

3. The Amount put in by the employer = 50% of $250 ×Total number of months in a year × Number of years

= $125 × 12 Months × 40 Years

= $60,000

4. Interest = Future value - Ferdinand deposit - The Amount put in by the employer

= $347,272 - $120,000 - $60,000

= $167,272

Step-by-step explanation:

4 0
2 years ago
What are the surface area and volume of a regular triangular pyramid with a height of 9 cm and a slant height of 15 cm?
d1i1m1o1n [39]
I believe it is 135.
Hope this helps
3 0
3 years ago
What is 20% of 30% of 40% of $50
GarryVolchara [31]

20% of $50 = $10

30% of $50 = $15

40% of $50 = $20

Multiply 20% by $50

30% by $50

40% by %50

6 0
3 years ago
Using traditional methods, it takes 10.8 hours to receive a basic flying license. A new license training method using Computer A
sesenic [268]

Answer:

Hence the value of the test statistic is 0.780.

Step-by-step explanation:

Given:

Test Statistic:-

t=\frac{\bar{X}-\mu }{\frac{S}{\sqrt{n}}}

t=\frac{11.2-10.8 }{\frac{1.7}{\sqrt{11}}}

t=\frac{0.4}{0.5126}\\t=0.780

4 0
3 years ago
A41.0m guy wire is attached to the top of a 32.8 m antenna and to a point on the ground. How far is the point on the ground from
Setler79 [48]

Answer:

Step-by-step explanation:

A right angle triangle is formed.

The length of the guy wire represents the hypotenuse of the right angle triangle.

The height of the antenna represents the opposite side of the right angle triangle.

The distance, h from base of the antenna to the point on the ground to which the antenna is attached represents the adjacent side of the triangle.

To determine h, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore,

41² = 32.8² + h²

1681 = 1075.84 + h²

h² = 1681 - 1075.84 = 605.16

h = √605.16

h = 24.6 m

To determine the angle θ that the wire makes with the ground, we would apply the the cosine trigonometric ratio.

Cos θ = adjacent side/hypotenuse. Therefore,

Cos θ = 24.6/41 = 0.6

θ = Cos^-1(0.6)

θ = 53.1°

7 0
3 years ago
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