Answer:
125 Dolphins
Step-by-step explanation:
The number of dolphins varied linearly with the number of fish.
The number of dolphins = D
The number of fish = F
Hence:
D ∝ F
D = kF
When 400 fish were present 250 dolphins appeared
Solving for k
250 = 400k...... Equation 1
Also
when 300 fish were present, 200 dolphins appeared.
200 = 300k...... Equation 2
So: we find k = Constant of Proportionality
250 = 400k...... Equation 1
200 = 300k...... Equation 2
We Subtract Equation 2 from Equation 1
50 = 100k
k = 50/100
k = 1/2
How many dolphins would appear if 250 fish were present?
D = kF
D = 1/2 × 250
D = 125 Dolphins
Answer:
If you meant to simplify the expression,
-8b+4ab
if factor: 4b(a-2)
Step-by-step explanation:
To simplify an expression, combine the like terms.
8b+4ab-16b, 8b and -16b are like terms.
-8b+4ab, notice 4ab has an extra a before the b, so it is not a like term of -8b
To factor it out:
The expression -8b+4ab both includes b in it.
Thus,
b(-8+4a) -8 and 4 can be has GCF of 4
=4b(a-2).
368 he earned each week.
During the 4 weeks he earned 1472, to be able to know the amount he earn each week. We simply, divide 1472 into 4 because in a month there are 4 weeks. In dividing,1472/4 = 368. The above answer is correct.
Answer:
Compound interest
Step-by-step explanation:
The question requires us to determine if the interest earned is a simple or compound interest
Simple interest = amount deposited x time x interest rate
Future value with compounding = A( 1 + r)^n
A = amount deposited
r = interest rate
n = time
We would calculate the simple interest and the future value in year 2
Simple interest in year 2 = $3500 x 0.0375 x 2 = 262.50
Future value in 2 years with a simple interest = 262.50 + 3500 = $3762.50
Future value in year 2 with compounding = 3500 x (1.0375)^2 = $3767.42
The value provided in year 2 with compounding matches that provided in the question. Thus, it is compounding of interest that is done
X = longest side , y = middle side , z = shortest side
P = x + y + z
P = 82
x = 2z + 7
y = z + 15
82 = (2z + 7) + (z + 15) + z...combine like terms
82 = 4z + 22
82 - 22 = 4z
60 = 4z
60/4 = z
15 = z
so the shortest side (z) is 15 cm
the second side (y) is : z + 15......15 + 15 = 30 cm
and the longest side (x) is : 2z + 7.....2(15) + 7 = 37 cm
