Use the present value formula to determine the amount to be invested now, or the present value needed. the desire accumulated amounts is $140,000 after 2 years invested in an account with 8% interest compounded quarterly.

the amount to be invested now, or the present value needed is?

The amount to be invested now or the present value is $119,484.51

Step-by-step explanation:

FV=PV(1+r/n)^nt

Make PV the subject of the formula

PV=FV/(1+r/n)^nt

Where,

PV=present value=?

FV=future value=$140,000

r=interest rate=8%

n=number of periods=4

t=time=2 years

PV=FV / (1+r/n)^nt

=140,000 / (1+0.08/4)^4*2

=140,000 / (1+0.02)^8

=140,000 / (1.02)^8

=140,000 / 1.1717

=119,484.5096

Approximately 119,484.51

PV=$119,484.51

The amount to be invested now or the present value is $119,484.51

the sum of all the angles in a triangle are equal to 180

so you can add   the 3 given angles together to equal 180:

5y + 2y + 2y = 180

or since all three angles have the same letter, combine the 3 angles to equal 180:

9y = 180

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.