Berta’s teacher, Ms. Rose Harper tells her class that when sixty consecutive odd integers are added together, their sum is 4800 and asks the class to determine the largest of the sixty integers. Help Berta get the answer!

Hello,

le largest is 139

Step-by-step explanation:

Since i am a lasy boy, i am going to calculate:

1+3+5+7+...+(1+2*59)   there are 60 numbers

=1+3+5+..+119

=60*(1+119)/2=30*120=3600 (not enough)

4800-3600=1200 are in rest.

1200/60=20 so we add 20 to each number:

21+23+25+27+...+139=4800

139

Step-by-step explanation:

Given: 60 consecutive odd integers added = 4800

if the first integer is x then the next integer will have 2 more to get the next odd integer ( for example 3, 5, 7... is 3, 3+2, 3+4)

        x,           x+2,             x+4 ,       x+6,      x+118

        x,           x+2*1 ,         x+ 2*2 ,  x+ 2*3 , x+2*59

first term, second term,                           , 60th term

Sum = [ number of terms(first term+last term) ] / 2

4,800 = [60 (x+x+118)] / 2, multiply both sides by 2

9,600 = 60 (2x+118) , divide both sides by 60

160 = 2x +118, subtract 118 from both sides of the equation

42 =2x , divide both sides by 2

21 = x, this is the smallest integer

the largest integer is the 60th term

x+118 = 21+118 = 139

v = 1/3 a^2h

step-by-step explanation:

if the height is 57.7cm and the height of the slant edge is 18.2cm, then the volume is 1/3 a^2h.

required rate of return = 0.166 = 16.6%

step-by-step explanation:

under the capital asset pricing model (capm), the required or expected rate of return for a particular security or asset is given using the formula:

required rate of return = risk-free rate + beta*(market risk premium)

we are given that;

risk-free rate = 4% = 0.04

beta = 1.4

market risk premium = 9% = 0.09

we simply plug these values into the above formula;

required rate of return = 0.04 + 1.4*(0.09)

required rate of return = 0.04 + 0.126

required rate of return = 0.166 = 16.6%