How long (in years) would $900 have to be invested at 11.3%, compounded continuously, to earn $500 interest? (Round your answer to the nearest whole number.)

6.13 years

Step-by-step explanation:

The computation of the number of years is shown below:

As we know that

Amount = Principal ×e^{rate,time period}

($900 +  $500)  = $700 × e^{11.3%, time period}

$1,400 = $700 × e^{11.3%, time period}

ln(2) = 0.113× time period

0.693147181 ÷ 11.3 = time period

= 6.13 years

hello,

as we don't know if g(x) is continue,

answer b

f(x)=2x²-8x+1=2(x²-4x+4)+1-8=2(x-2)²-7

vertex is (2,-7) ( a minimum since coefficient of x² is > 0)

the answer is:

the lateral area is equal to

to find the lateral area of the square pyramid, first we need to find the perimeter of the base, and then, find the lateral area using the following formulas:

where,

s, is the base length

slant height, is the height of a the side of the pyramid

we are given:

now, calculating the perimeter of the base, we have:

then, calculating the lateral area:

hence, we have that the lateral area is equal to

have a nice day!