A sum of money is invested at 21% compounded quarterly. About how long will it take for the amount to double

Quadrilateral with vertices at A(2,2), B(1,5) C(5,3), D(4,6)

MatroZZZ [7]

I have attached an image explaining how to solve this problem.
(“m” means slope)

6 0

2 years ago

*20 POINTS*

Paraphin [41]

Answer:

If you want to use the Rational Zeros Theorem, as instructed, you need to use synthetic division to find zeros until you get a quadratic remainder.

P: ±1, ±2, ±3, ±6 (all prime factors of constant term)

Q: ±1, ±7 (all prime factors of the leading coefficient)

P/Q: ±1, ±2, ±3, ±6, ±1/7, ±2/7, ±3/7, ±6/7 (all possible values of P/Q)

Now, start testing your values of P/Q in your polynomial:

f(x)=7x4-9x3-41x2+13x+6

You can tell f(1) and f(-1) are not zeros since they're not = 0Now try f(2) and f(-2):

f(2)=7(16)-9(8)-41(4)+13(2)+6

112-72-164+26+6 ≠ 0

f(-2)=7(16)-9(-8)-41(4)+13(-2)+6

112+72-164-26+6 = 0 OK!! There is a zero at x=-2

This means (x+2) is a factor of the polynomial.

Now, do synthetic division to find the polynomial that results from

(7x4-9x3-41x2+13x+6)÷(x+2):

-2⊥ 7 -9 -41 13 6

-14 46 -10 -6

7 -23 5 3 0 The remainder is 0, as expected

The quotient is a polynomial of degree 3:

7x3-23x2+5x+3

Now, continue testing the P/Q values with this new polynomial. Try f(3):

f(3)=7(27)-23(9)+5(3)+3

189-207+15+3 = 0 OK!! we found another zero at x=3

Now, another synthetic division:

3⊥ 7 -23 5 3

21 -6 -3_

7 -2 -1 0

The quotient is a quadratic polynomial:

7x2-2x-1 This is not factorable, you need to apply the quadratic formula to find the 3rd and 4th zeros:

x= (1±2√2)÷7

The polynomial has 4 zeros at x=-2, 3, (1±2√2)÷7

Step-by-step explanation:

7 0

3 years ago

If 3/2 divided by 1/4 = n, then n is between?

Alborosie

3/2 ÷ 1/4 = 3/2 x 4 = 6

4 0

3 years ago

During the summer, Hector does yard work, and Geri babysits.To show their earnings, Hector makes a graph, and Geri makes a table

VLD [36.1K]

I think that when you asked this question, no one answered because there is not enough information. I also got this problem and there is in fact, a table and a graph.

Step-by-step explanation:

for Hector, it only shows a y and x graph and for Geri it shows a table. let´s call the graph the ¨h¨ graph (for Hector) and the table is going to be called the ¨g¨ graph (for Geri)

on the h graph, it shows that y/x = dollars/time for Hector,

on the g table, it shows that Geri is getting paid $25.50 for each 3 hours and it keeps increasing within each input and output.

your y = your dollars

your x = your time

we are looking for slope and we need $15 over hours

15/x

the answer is that Hector earns $6.50 more than Geri