Answer:
4.08 + 2 = 6.08 years
Step-by-step explanation:
we know that
Simple Interest(S.I.) = (P × R × T) ÷ 100
where, P = Principal = 750
R = Rate = 6%
T = unknown
⇒ S.I. = (750 × 6 × t)÷ 100
⇒ S.I. = 45t
Also, Amount = S.I + Principal
⇒ Amount = 750 + 45t
Now Formula for Compound Interest is:
where A = Amount
=1000
P = Principle
r = rate
t = total number of year
Here, P = 750 + 45t, r = 3.5% , and t = 2.
Putting all these values in above formula:
⇒
⇒ t = 4.08
Hence, total time required will be 2 + 4.08 = 6.08 years.
B
given f(x) in factored form, equate to zero for x-intercepts
(x - 8)(x - 4) = 0, hence
x = 4, x = 8 ← x- intercepts
The vertex lies on the axis of symmetry which is situated at the midpoint of the x- intercepts
x- coordinate of vertex = = 6
f(6) = (6 - 8 )(6 - 4 ) = -2 × 2 = - 4 ← y-coordinate
vertex = (6, - 4 ) → B
Slope = rise/run =[y2-y1]/[x2-x1]
1) slope = [90 - 30] / [12 - 4] = 60 / 8 = 15/2
2) slope = [75 - 30] / [10 - 4] = 45 / 6 = 15 / 2
The slopps are equal.
Answer:
Integer and Rational Number
Step-by-step explanation:
Natural numbers are positive numbers starting at 1 and going onward. Since -8.0 is not a positive number, it is not a natural number.
Whole numbers are natural numbers and 0 altogether. -8 is not greater than zero or positive, so it is not a whole number.
A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number. -8.0 can also be written as -8/1, so it is a rational number and an integer, since every integer is a number over 1 and also a rational number.