Answer:
The first year in which Clara will see that Investment B's value will exceed Investment A's value will be year 14.
Step-by-step explanation:
Since Clara made two investments, and Investment A has an initial value of $ 500 and increases by $ 45 every year, while Investment B has an initial value of $ 300 and increases by 10% every year, and Clara checks the value of her investments once to year, at the end of the year, to determine what is the first year in which Clara sees that Investment B's value has exceeded investment A's value, the following calculation must be performed:
500 + (45 x X) = A
300 x 1.1 ^ X = B
A = 500 + 45 x 5 = 500 + 225 = 725
B = 300 x 1.1 ^ 5 = 483.15
A = 500 + 45 x 10 = 950
B = 300 x 1.1 ^ 10 = 778.12
A = 500 + 45 x 15 = 1175
B = 300 x 1.1 ^ 15 = 1253.17
A = 500 + 45 x 14 = 1,130
B = 300 x 1.1 ^ 14 = 1,139.25
Therefore, the first year in which Clara will see that Investment B's value will exceed Investment A's value will be year 14.
Answer:
the unit for measuring length of line segment is meter and angles is degrees
Answer:
breadth = 25m
length= 35m
Step-by-step explanation:
perimeter is distance all round a figure
in a rectangle we have two pairs of opposite but equal lines
breadth = 2x( because of the two breadths in a rectangle) - 20
length = 2x( because of the two lengths in a rectangle)
perimeter = 2x + 2x - 20
120 = 4x - 20
120 + 20 = 4x
140 = 4x
35 = x
to get the dimensions, we have to divide by 2 as we took both parts of each dimension
breadth =<u> 2x - 20</u>
2
<u>=2(35) - 20</u>
2
<u>= 70 - 20</u>
2
<u>= 50m</u>
2
= <u>25m</u>
length =<u> 2x</u>
2
<u>= 2(35)</u>
2
<u> = 70m</u>
2
= <u>35m</u>
<u />
Answer:
2x + 5
Step-by-step explanation:
Let x represent the number
Twice the number will be represented by 2x, since that multiplies the number by 2
Then, add 5 to this:
2x + 5
So, 2x + 5 is the expression that will represent this situation