MATHEMATICS HIGH SCHOOL

find the balance in the account after the given period $500 principal earning 4% compound quarterly after 6 years

Answers

Answer 1

Answer: A=P(1+r/100)^n
A=500(1+4/400)^24
A=500(1.01)^24
A=634.87

Answer 2

Answer:

Answers

1. b

2. d

3. b

4. b

5. a

6. c

7. b

8. b

9. b

10. d

11. b

12. c

Related Questions

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In sondras math class the teacher gives all of the students the digram below where ab is perpendicular to bc and ac is perpendicular to bd. sondra works with her classmates to prove that triangle abc, triangle abd and triangle bdc are all similiar right triangles. based on the similarity of the three right triangles, show (AB)2 + (BC)2 = (AC)2
the measures of an exterior angle and the adjacent interior angle add p to 360 because they form a linear plane?
Which is greater, five ones and eight tenths or fifty-eight tenths
Part C: Create a graph that represents the solutions to the equation from Part A

At the end of one day, the value of a share of a certain stock was $12. Over the next three days, the change in the value of the share was $-1, then, $-1, and then $3. Write an expression that descrines the situation.

Answers

12-13=-1+4(after 2 days)=3

State how many imaginary and real zeros the function has.f(x) = x5 + 7x4 + 2x3 + 14x2 + x + 7
A. 3 imaginary; 2 real
B. 4 imaginary; 1 real
C. 0 imaginary; 5 real
D. 2 imaginary; 3 real

Answers

Answer:

B. 4 imaginary; 1 real

Step-by-step explanation:

Given the polynomial:

x^5 + 7*x^4 + 2*x^3 + 14*x^2 + x + 7

it can be reordered as follows

(x^5 + 2*x^3 + x ) + (7*x^4 + 14*x^2 + 7)

Taking greatest common factor at each parenthesis

x*(x^4 + 2*x^2 + 1) + 7*(x^4 + 2*x^2 + 1)

Taking again the greatest common factor

(x + 7)*(x^4 + 2*x^2 + 1)

Replacing x^2 = y in the second parenthesis

(x + 7)*(y^2 + 2*y + 1)

(x + 7)*(y + 1)^2

Coming back to x variable

(x + 7)*(x^2 + 1)^2

There are two options to find the roots

(x + 7) = 0

(x^2 + 1)^2 = 0 which is the same that (x^2 + 1) = 0

In the former case, x = -7 is the real root. In the latter, (x^2 + 1) = 0 has no real solution. Therefore, there is only 1 real root in the polynomial.

Two spheres have are such that the radius of the bigger sphere is 3 times bigger than the smaller. What is the ratio of the area?

Answers

Answer:

1 : 27

Step-by-step explanation:

Radius of sphere one = r₁ = x units

Radius of sphere 2 = r₂ = 3*x = 3x units

Ratio of area of two sphere's = r₁³ : r₂³

= x³ : (3x)³

$= (x^(3))/(3^(3)*x^(3))\n\n= (1)/(3^(3))\n\n= (1)/(27)$

= 1 : 27

Suppose that state’s record hightemperature of 102

was
set in 1930, and the record low of

-14was
set in 1966. What is the range of these temperature extremes?