Answer:
Population after n years = Present Population =(1+
100
r
)
n
Population after 2 years =50000(1+
100
5
)
2
=50000(
100
105
)
2
=50000×
100
105
×
100
105
=5×105×105=55125
Step-by-step explanation:
Answer:
52% and 7
Step-by-step explanation:
There are 25 squares of which 13 are shaded , then
× 100% = 13 × 4% = 52°
(b)
1 square represents
× 100% = 1 × 4% = 4%
Then 80% = 80% ÷ 4% = 20
That is for 80% , 20 squares require to be shaded
That is 7 more than the 13 already shaded
Answer:
(13×14×6)/3= 364 centimeter cube
I answered wrongly cuz forgot to divide by 3
my mistake
Answer:
$1000 ; 500 ; 1000 ; y = 500x + 1000
Step-by-step explanation:
From the graph, the initial deposit which started the savings account is $1000 ; this is the value on the y - intercept, the value in the account at time or period = 0.
The slope :
x1 = 0 ; y1 = 1000
x2 = 6 ; y2 = 4000
Slope = Rise / Run
Rise = y2 - y1 = 4000 - 1000 = 3000
Run = x2 - x1 = 6 - 0 = 6
Hence,
Slope = 3000 / 6
Slope = 500
y - intercept = 1000 (from. Graph)
Equation in slope intercept form:
General form : y = mx + c
m = slope ; c = intercept
Equation is written as ;
y = 500x + 1000
Answer:
-5
Step-by-step explanation:
Moving all terms of the quadratic to one side, we have
.
A quadratic has one real solution when the discriminant is equal to 0. In a quadratic
, the discriminant is
.
(The discriminant is more commonly known as
, but I changed the variable since we already have a
in the quadratic given.)
In the quadratic above, we have
,
, and
. Plugging this into the formula for the discriminant, we have
.
Using the distributive property to expand and simplifying, the expression becomes

Setting the discriminant equal to 0 gives
.
We can then solve the equation as usual: first, divide by 2 on both sides:
.
Squaring both sides gives
,
and subtracting 5 from both sides, we have
