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sergij07 [2.7K]
3 years ago
13

Shota invests $2000 in a certificate of deposit that earns 2% in interest each year.Write a function that gives the total v(t) i

n dollars of the investment t years from now
Mathematics
1 answer:
brilliants [131]3 years ago
7 0

Answer:

The correct answer is v(t) = (principal × time × 0.02) if calculated simply and v(t) = Principal × ( 1.02) ^ {time} where v(t) is the interest after t years .

Step-by-step explanation:

Principal amount invested by Shota is $2000.

Interest is earned at 2% per year.

Time for which the principal is invested is t years.

Therefore let the total interest be v(t) dollars in t years.

Case 1: Simple Interest.

v(t) = (principal × time × \frac{r}{100} ) = (2000 × t × 0.02) = 40t

Case 2: Compound Interest.

v(t) = Principal × ( 1+ \frac{r}{100}) ^ {t} - Principal =  2000 × ( 1.02) ^ {t} - 2000.

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The area of a rectangle is 108 m2 and its diagonal is 15 m. Find
Andre45 [30]

Answer:

47.6m.

Step by step solution:

Perimeter of a triangle = base + 2 . length____(1)

Area of a triangle = 1/2 . base . diagonal

108 = 1/2 . base . 15

multiplying both sides by 2:

216 = 15 . base

dividing both sides by 15:

base = 14.4m

But the diagonal divides the triangle into two

right angle triangles each with the same length (hypotenuse),base and diagonal(height).

Taking one right angle triangle:

And using pythagoras theorem;

length² = base² + diagonal ²

length² = 7.2² + 15²

Note: Base of each right angle triangle is 7.2 which would sum up to be 14.4 the base of the full triangle.

length² = 276.84

taking the square root of both sides:

length = 16.6m

Putting the values of the base and length into equation (1).

Perimeter of the triangle = 14.4 + 2 . 16.6

Note: We are dealing with the whole triangle

now hence the base is 14.4m.

Perimeter of the triangle = 14.4 + 33.2 = 47.6m.

6 0
3 years ago
Read 2 more answers
Find the missing angle.
Lina20 [59]

Answer:

0.76 or 0.8

Step-by-step explanation:

4 0
2 years ago
find the particular solution to the exact differentiable equation dy/dx=(2e^x)-cosx passing through the point (0,3)
lozanna [386]

Answer:

y = 2eˣ - sin x + 1  

Step-by-step explanation:

dy/dx = 2eˣ - cos x

(0, 3)

Integrate dy/dx to find the original function.

  • y = 2eˣ - sin x + C

Solve for C by substituting the point given.

  • 3 = 2e⁰ - sin(0) + C
  • 3 = 2 - 0 + C
  • 1 = C

Now we can substitute C into the original function.

  • y = 2eˣ - sin x + 1  

This is the particular, or explicit, solution to the differentiable equation.

7 0
3 years ago
If it takes 100 minutes to complete a circuit, demand at the next work center is 5 parts per minute, and a kanban container hold
Harrizon [31]
5 times 100 = 500
500 divided by 20 = 25
25 containers
4 0
3 years ago
Suppose U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} is the universal set and G = {1, 2, 3, 4, 5, 6, 7}. What is G?
Nesterboy [21]
Your posted question defines G, then asks what G is.
G is the set in the definition you gave.

G = {1, 2, 3, 4, 5, 6, 7}

_____
Perhaps you want to know the complement of G. That is all the elements of U that are not in G.

G' = {8, 9, 10}
3 0
2 years ago
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