9514 1404 393
Answer:
- =FV(4.5%/12,30*12,-150,0)
- $113,907.92
- $54,000
- $59,907.92
Step-by-step explanation:
We have used the formula shown in Go.ogle Sheets to give the results shown. (We presume Excel has a similar function.)
The result is that the future value of the investment is $113,907.92.
The amount deposited is ($150/mo)(12 mo/yr)(30 yr) = $54,000.
The interest earned is the difference: $113,907.92 -54,000 = $59,907.92.
Answer:
-5
Step-by-step explanation:
<u>Given that , </u>
- A number is taken away from 40 and the result is 45 .
<u>L</u><u>et </u><u>:</u><u>-</u><u> </u>
- The required number be x .
<u>According</u><u> to</u><u> Question</u><u> </u><u>:</u><u>-</u><u> </u>
40 - x = 45
- x = 45 - 40
- x = 5
x = -5
<h3>
Hence the required answer is -5 .</h3>
A) The answer is $38.95
Two walls have dimensions: 14 ft x 8 ft, each with area A1 = 14 · 8 = 112 ft²
Two walls have dimensions: 18 ft x 8 ft each with area A2 = 18 · 8 = 144 ft²
The area that needs to be painted is:
A = 2A1 + 2A2 = 2*112 + 2*144 = 224 + 288 = 512 ft²
Since you need two coats of paint, total area that needs to be painted is
512 × 2 = 1024 ft²
Now, make a proportion:
If 1 gallon covers 250 ft², how many gallons will cover 1024 ft²
1 : 250 = x : 1024
x = 1024/250 = 4.096 gallons ≈ 4,1 gallons
Since 1 gallon costs $9.50, 4.1 gallons will cost $38.95:
$9.50 × 4.1 gallons = $38.95
b) The answer is $1,260.
The dimensions of the floor are: 18 ft × 14 ft
Therefore, the area that needs to be covered with carpet is:
A = 18 · 14 = 252 ft²
Since 1 ft² costs $5, that means that 252 ft² will cost $1,260:
252 ft² × $5 = $1,260
c) The answer is $1,890.
The ceiling will have the same dimensions and the same area as the floor.
The dimensions of the ceiling are: 18 ft × 14 ft
Therefore, the area that needs to be covered is:
A = 18 · 14 = 252 ft²
Since 1 ft² costs $7.50, that means that 252 ft² will cost $1,890:
252 ft² × $7.5 = $1,890
d) The answer is $3,188.95.
We now know that:
- the cost of painting the four walls with two coats of paint is: $38.95
- the cost of carpeting the floor with carpet is: $1,260
- the cost of ceiling with acoustic tile is: $1,890
All we have to do is to sum it up to find the total cost of renovating the walls,floor, and ceiling:
$38.95 + $1,260 + $1,890 = $3,188.95
Answer:
SEE BELOW
Step-by-step explanation:
A: Yes, it is 18.80%. Sample Mean= 135, Sample Standard deviation= 25/sq rt of 10 = 7.906, normalcdf(142, 999999, 135, 7.906) = .18796 × 100 = 18.796 = 18.80%
B: If we increase the sample size to 50, then, due to the Central Limit Therme, there should be less variation within the data (it should point to a more clear center). Sample Mean= 135, Sample Standard deviation= 25/sq rt of 50 = 3.535, normalcdf(142, 999999, 135, 3.535) = .02385 × 100 = 2.385 = 2.39%
Answer:
x = -6
Step-by-step explanation:
3/ x = 4/(x-2)
Using cross products
3 (x-2) = 4x
Distribute
3x - 6 = 4x
Subtract 3x from each side
3x-3x-6 = 4x-3x
-6 =x
