Answer:
Step-by-step explanation:
From the given information:
Let assume that the invested amount in the investment paying 8% interest is a
Now, since the total amount invested = $3000.
Then, the amount invested in the investment that will be paying 10% interest can be represented as:
= $(3000-a)
Income earned on $a that is being invested in 8% interest = $a × 8/100 = $0.08a
Income earned from $(3000-a) in the 10% investment is:
= $(3000-a)× 10/100
= $(300 - 0.1a)
Since total income of the two investment = $290;
Then;
0.08a + (300 - 0.1a) = 290
0.08a + 300 - 0.1a = 20-
300 - 0.02a = 290
-0.02a = -10
a = -10/-0.02
x = 500
Thus;
the amount invested in an investment paying 8% interest = $500
the amount invested in an investment paying 10% interest = $(3000 - 500) = $2500
Answer:
Domain: real numbers greater than or equal to -3
Range: equal to -4, 2 and 3
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
x+90=114( sum of two interior angle of triangle is equal to its opposite exterior angle)
x=24
Answer:
r = 2.04%
Step-by-step explanation:
r = n{(A/P)^1/nt - 1}
Where,
r = interest rate = ?
n = number of periods = 12
A = future value = $22,960
P = present value = $20,960
t = time = 4 years
r = n{(A/P)^1/nt - 1}
r = 12{(22,960/20,987)^1/12*4 - 1}
= 12{(1.09)^1/48 - 1}
= 12{(1.09)^0.02 - 1}
= 12 (1.0017 - 1)
= 12(0.0017)
= 0.0204
r = 0.0204 × 100
= 2.04%
r = 2.04%
Answer: The explicit rule for the geometric sequence is:
an=(2/5) (5)^(n-1), for n=1, 2, 3, 4, ...
Solution:
a1=2/5
an=5 (an-1)
n=2→a2=5 (a2-1)= 5 (a1)= 5 (2/5)→a2= (2/5) (5)
n=3→a3= 5 (a3-1)= 5 (a2)= 5 [(2/5) (5)]=(2/5) (5)^(1+1)→ a3=(2/5) (5)^2
n=4→a4= 5 (a4-1)= 5 (a3)= 5 [(2/5) (5)^2]= (2/5) (5)^(2+1)→ a4=(2/5) (5)^3
a1=2/5=(2/5) (1)=(2/5) (5)^0→a1=(2/5) (5)^(1-1)
a2=(2/5) (5)=(2/5) (5)^1→a2=(2/5) (5)^(2-1)
a3=(2/5) (5)^2→a3=(2/5) (5)^(3-1)
a4=(2/5) (5)^3→a4=(2/5) (5)^(4-1)
Then:
an=(2/5) (5)^(n-1), for n=1, 2, 3, 4, ...
