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Zinaida [17]
2 years ago
14

Logan is going to invest in an account paying an interest rate of 3.1% compounded continuously. How much would Logan need to inv

est, to the nearest ten dollars, for the value of the account to reach $990 in 6 years?
Mathematics
2 answers:
skad [1K]2 years ago
5 0

Answer:

yessir

Step-by-step explanation:

Aleonysh [2.5K]2 years ago
5 0

Answer: Rounded to the nearest $10 he would have to invest $830

Step-by-step explanation: While I am not completely familiar with this sort of math I am still relatively confident that I got the correct answer. Using the formula A = Pe^rt. First we can convert the percentage to a decimal so it can be used efficiently in the formula. So r = 3.1/100 which in turn equals 0.031 which is our decimal. Now we can simply input our information into the formula for our answer so follow along

A = 830 * e ^(0.031 * 6)

A = 830(2.718281828459045)^(0.186)

A = 999.67

And of course this is not exactly $990 because the question stated to round the original investment amount to the nearest 10 dollar. This should be your answer and if you have any other questions about this please do not hesitate to reach out :)

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What is the value of the expression 2 + 3^2 * (5 -1)
alexgriva [62]

Answer:

38

Step-by-step explanation:

We are to solve for the expression;

2 + 3² × (5 - 1)

We should aply BODMAS here!

So starting with the brackets;

2 + 3² × 4

Then solving the multiplication part;

3² × 4 = 9 × 4 = 36

Finally adding the integers;

2 + 36 = 38

8 0
3 years ago
Find the slope of the line y = –7 2 x − 5 8 . Simplify your answer and write it as a proper fraction, improper fraction, or inte
Bezzdna [24]

Answer:

Slope = -7/2

Step-by-step explanation:

The standard equation of a line is expressed as y = mx+c

m is the slope

c is the y-intercept

Given the equation y = -7/2 x - 5/8

Compare with the general equation

mx = -7/2x

Divide both sides by x

mx/x = -7x/2x

m = -7/2

Hence the slope of the line is -7/2

8 0
2 years ago
To fit between two windows, the width of a bookshelf must be no greater than 6 1/2feet. Mrs.aguilar purchases a bookshelf that i
MArishka [77]
I need points sorry
6 0
3 years ago
Imagine you are responsible for writing an advice column about mathematics. The following question is submitted to your column:
marissa [1.9K]

Explanation:

There are two different formulas that are useful with the given information:

  Area = (1/2)ab·sin(C)

  Area = √(s(s-a)(s-b)(s-c)) . . . where s=(a+b+c)/2

It does not matter which sides are designated a, b, and c. Angle C will be opposite side c.

The third angle can be computed based on the fact that the sum of angles in a triangle is 180°. It will be 180° -32° -28° = 120°. The least-to-greatest order of the angles is the same as the least-to-greatest order of the length of the opposite side. So, we might have ...

  • a = 7, A = 28°
  • b = 8, B = 32°
  • c = 13, C = 120°

Utilizing the first formula, the area is ...

  Area = (1/2)(7)(8)sin(120°) = 14√3 ≈ 24.249 . . . square units

Utilizing the second formula, the area is ...

  s = (7+8+13)/2 = 14

  Area = √(14(14-7)(14-8)(14-13)) = 14√3 ≈ 24.249 . . . square units

__

For the answer to be complete, it should be noted that using either of the other two angles will give different results for the area. That is because those angles are not exact values, but are rounded to the nearest degree. Using the first formula with the different angles, we get ...

  • area = (1/2)(8)(13)sin(28°) ≈ 24.413 . . . square units
  • area = (1/2)(7)(13)sin(32°) ≈ 24.111 . . . square units

The first of these answers is a little high because 28° is a little more than the actual value of the angle. Likewise, the second of these answers is a little low because 32° is slightly smaller than the actual angle.

In short, the most accurate information available should be used if the answer is to be the most accurate possible. If the angles are exact, then their values should be used. If the side measures are exact, then their values should be used. In general, it will be easier to make accurate measurements of the side lengths than to make accurate angle measurements.

7 0
3 years ago
PLEASE I BEG SOMEONE TO HELP
boyakko [2]

Answer:

16 + 3n

Step-by-step explanation:

a = 19 ;  common difference = 22 - 19 = 3

a(n) = a + (n -1 ) *d

      = 19 + (n-1)*3

      = 19 + 3n - 3

      = 16 + 3n

4 0
2 years ago
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