Answer:To make a profit and pay operating expenses, banks typically charge for the services they provide. When a bank lends you money, it charges interest on the loan. Even fee-free checking and savings accounts have some fees. ...
Step-by-step explanation:
Answer:
3/10 simplified
Step-by-step explanation:
120/400 simplified is 3/10 (divide both numbers by 40).
Explanation:
At each step, the product of the quotient digit and the divisor is subtracted from the dividend. This gives you the new dividend.
When the quotient digit is 7, the product of 7 and 5 is subtracted from the dividend. The dividend at that point is 35, so you have 35 - 35 = 0. The 0 is the next dividend. Among other things, that tells you you're done. (Any additional quotient digits will be zero.)
Answer:
<h3>See explanations below</h3>
Step-by-step explanation:
1) Given the recursive function An=an-1 + 3 when a1 = 5, we are to find the first four terms;
First term a1 = 5
a2 = a1 +3
a2 = 5 + 3
a2 = 8
a3 = a2 + 3
a3 = 8+3
a3 = 11
a4 = a3 + 3
a4 = 11 + 3
a4 = 14
<em>The first four terms are 5, 8, 11 and 14</em>
<em></em>
<em>2) </em>For the recursive function An=an-1 + 2/3 when a1 = 1
a2 = a1 + 2/3
a2 = 1 + 2/3
a2 = 5/3
a3 = a2 + 2/3
a3 = 5/3 + 2/3
a3 = 7/3
a4 = a3 + 2/3
a4 = 7/3 + 2/3
a4 = 9/3
a4 = 3
<em>Hence the first four terms of the sequence are 2/3, 5/3, 7/3, 3</em>
<em></em>
3) For the recursive function An=an-1 + 12 when a1=30
a2 = a1 + 12
a2 = 30 + 12
a2 = 42
a3 = a2 +12
a3 = 42 + 12
a3 = 54
a4 = a3 + 12
a4 = 54+12
a4 = 66
<em>Hence the first four terms of the sequence are 30, 42, 54, 66</em>
Answer:
c)A cylinder with a volume of π(w³ +2w² )in³
where w represents the width of the cylinder.
Step-by-step explanation:
A cylinder with a volume of π(w³ +2w² )in³
where w represents the width of the cylinder.
The volume of a cylinder is given by V=Bh or V=πr²h
where B is the area of the base and h is the height of the cylinder.
V=πr²h-------equation1
V= π(w³ +2w² )--------- equation2
Comparing equation 1 and equation 2
πr²h=π(w³ +2w² )
r²h=(w³ +2w² )
r²h= w²(w +2 )
Taking w² common leaves w+2 which gives the height or length of the cylinder.
Therefore radius = width and height = length which gives the volume of the cylinder.