<h2>
Step-by-step explanation:</h2>
Interest, is an additional money paid for borrowing money. it could be simple or compound interest.
simple interest= p×T×R/100
when interest is compounded annually
F= p(1+r)^t
F= future value
p= principal
r= rate
t= time
compound interest is calculated based on the initial and accumulated interest.
<h2>interest Linda earns</h2><h3>fist year</h3>
F= p(n+r)^n
F= 10000(1+0.02)^1
F= 10000×1.02= $10200
interest= 10200-10000
interest = $200
second year
F = 10200(1+0.02)^1
F=10200×1.02= $10404
Interest= 10404-10200
interest= $204
third year
F= 10404(1+0.02)^1
F= 10404(1.02)
F = $10612.08
interest= 10612.08-10404
interest= $208.08
<h2>Bob's interest</h2><h2>I= p×t×R/100</h2>
first year
I=10000×1×0.02/100
interest= $2
second year
I= 10000×2×0.02/100
interest= $4
for the third year
I =10000×3 × 0.02/100
interest= $6
<h2>check answer above for final computation</h2>
Answer:
8 people in the original group.
Step-by-step explanation:
Let x be the number of people who were originally present for the dinner that cost $160. Their average cost per person would be:
$160/x
If 2 more people join, there are x+2 people. Ignoring the awkward situation that they apparently did not order any additional food, they agree to share the cost of the dinner. The average cost is now:
$160/(x+2)
We are told that this new average is now $4 less per person.
$160/(x+2) = ($160/x) - $4
$160 = (($160/x) - $4)(x+2)
x = 8 people
The multiplication of 3 and -4 on a number line is shown
<h3><u>Solution:</u></h3>
The number line representation is shown below
On number line the points are at equal distances
The multiplication of 3 with -4 can be understood in the following way:-
a × b , means a jumps b times
Eg :- 3 × -4 means 3 jumps -4 times
Which basically mean we are going to move 3 number per step , and we are going to do this 4 times and –ve sign indicates we will move in negative direction
Therefore,
So, when we move from 0 , when we take first step we reach -3 , in next step we reach -6 , in next we reach -9 and in the last step we reach -12
Which is the product 3 and -4 .i.e.
The staircase represents a constant rate of change because the height of the staircase is always going up or down, or changing. Each time the staircase goes up by a certain number, it always goes up by the same number and is therefore a constant rate of change.