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lina2011 [118]
3 years ago
14

Approximately how much principal would need to be placed into an account earning 1.58% interest compounded monthly so that it ha

s an accumulated value of $90,597 at the end of 25 years?
Mathematics
1 answer:
Natalija [7]3 years ago
5 0

Answer:

The initial investment is $821.58

Step-by-step explanation:

Giving the following information:

Future Value (FV)= $90,597

Number of periods (n)= 25*12= 300

Interest rate (i)= 1.58% = 0.0158

<u>To calculate the initial investment, we need to use the following present value (PV) formula:</u>

PV= FV/(1+i)^n

PV= 90,597 / (1.0158^300)

PV= $821.58

The initial investment is $821.58

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What is the slope of a line that is perpendicular to the line represented by the equation y=-2/5x+4/5
enot [183]

Answer:

\frac{5}{2}

Step-by-step explanation:

recall for a line whose equation is

y = mx + b,

the slope of this line is m

the slope of a line that is perpendicular to this line is -\frac{1}{m}

in this case,

m = -\frac{2}{5}

hence -\frac{1}{m}=\frac{5}{2}

6 0
2 years ago
The point (-7,4) in on the terminal side of an angle t. Find sec (t) to two decimal places.
Sliva [168]

Answer:

  -1.15

Step-by-step explanation:

The tangent of the angle can be found as ...

  tan(t) = (y-coordinate)/(x-coordinate) = -4/7

The secant of the angle is related by ...

  sec(t)² = tan(t)² +1 = (-4/7)² +1 = 65/49

Then the secant of this 2nd-quadrant angle is ...

  sec(t) = -√(65/49) = -(√65)/7 ≈ -1.15

6 0
2 years ago
At total of 2 feet of snow falls over three days on the first day 1/6 of the snow falls on the second day 7/12 of the snow falls
ioda

Answer:

Day\ 3 = 1\frac{3}{12}

Step-by-step explanation:

Given

Total = 2ft

Day\ 1 = \frac{1}{6}

Day\ 2 = \frac{7}{12}

Required

Determine the amount of snow on day 3

This can be calculated using:

Day\ 1 + Day\ 2 + Day\ 3 = Total

Substitute values for the known parameters

\frac{1}{6} + \frac{7}{12} + Day\ 3 = 2

Collect Like Terms

Day\ 3 = 2 - \frac{1}{6} - \frac{7}{12}

Take LCM

Day\ 3 = \frac{24 - 2 - 7}{12}

Day\ 3 = \frac{15}{12}

Express as mixed number

Day\ 3 = 1\frac{3}{12}

5 0
3 years ago
How many moles are in a sample of 4.57 x 1024 atoms of neon (Ne)?
damaskus [11]

Answer:

151 mol Ne.

Step-by-step explanation:

I did work on Paper sorry if i can't type it, It'll mess it up.

3 0
3 years ago
Car A a can go 332 miles on 12.5 gallons of gasoline. Car B can go 304 miles on 10.5 gallons of gasoline. which car has a better
lidiya [134]

Answer:

B) car B

explanation :

I know that Car A can go at least 28 more miles than Car B. If you round 10.5 to the nearest ones place it would be 11; and if you round 12.5 to the nearest ones place it would be 13 so 13 - 11 = 2

I hope I can help you have a great day :)

4 0
3 years ago
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