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labwork [276]
3 years ago
7

What lump sum must be invested at 9%, compounded monthly, for the investment to grow to $72,000 in 6 years?

Mathematics
1 answer:
lana [24]3 years ago
6 0

Answer: $42042.50

Step-by-step explanation:

We need to use algebra and equations.

A = P x (1 + (R/n)/100)^nt

our amount (A) is $72K

the number of times we compound the money (n) is 12 (12 months in a year, 'compounded monthly')

our rate (R) is 9 (9%)

our time (t) is 6 (6 years)

we need to find our principal/initial amount (p)

72000 = p x (1 + 0.0075)^12x6

p = $42042.50

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Number of Gallons 2 4 x
Travka [436]

Answer:

The value of x is 8 gallon.

Step-by-step explanation:

Given a table  showing approximate conversion from gallons to liters.

Number of Gallons    2      4      x

Number of Liters      7.6  15.2  30.4

We are required to find value of x,

Given : 2 gallon is equal to 7.6 liters.

⇒  1 liter is equal to \frac{2}{7.6}=0.263 liters. ........(1)

given, x gallon equal to 30.4 liters.

⇒ 1 liter is equal to \frac{x}{30.4} liters.  .........(2)

from (1) and (2),

⇒  0.263=\frac{x}{30.4}

Solving for x, we get,

⇒  0.263 \times 30.4=x

⇒  7.9952=x

Approximately x = 8

Thus, the value of x is 8 gallon.

8 0
3 years ago
A motorist traveled 311 miles on 12 gallons of gas. To the nearest tenth, how many miles can the motorist travel on one gallon o
Alina [70]
D. 311 divided by 12 = 25.91
The nearest tenth would be 25.9
3 0
3 years ago
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Find Missing Angle
Neporo4naja [7]

Answer:

75 degrees

Step-by-step explanation:

Use trigonometry

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sin=opp/hyp

sin(x)=27/28

x=arcsin(27/28)

x=74.64111442

6 0
3 years ago
In a fruit basket containing apples and oranges,1/4 of the fruit are oranges.
Oxana [17]
None of these answers can be the answer okay so it should be 1/6
Therefore the answer is a.
To get this first you add 3+15=18
Next you divide it by 6, 18 divided by 6 =3
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I hope that this helped

6 0
3 years ago
Why shouldn’t you expect to take a year to pay off a credit card charge?
inessss [21]
Depending on interest it could be doubled if not more.
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