Answer:
The balance of account at the end of 36 years is $31,849.29
Step-by-step explanation:
We are given the following in the question:
P = $3,300
r = 6.5% = 0.065
t = 36 years
The compound interest is given by:
where A is the amount, p is the principal, r is the interest rate, t is the time in years and n is the nature of compound interest.
Since interest is compounded annualy we use n = 1
Thus, balance of account at the end of 36 years is $31,849.29
F(x) = 2x² + 7x - 5
g(x) = -8x² - 3x + 5
g(x) + f(x) = -8x² - 3x + 5 + 2x² + 7x - 5 = - 6x² + 4x
Answer: -6x² + 4x
Answer:Tara will need to buy more 8 2/3 pint of green paint.
Step-by-step explanation:
Total amount of green paint Tara has =24 pints
Amount used to to paint a landscape =1/4 x 24= 6
Amount used To painting a clover.= 5/8 x 24= 15
Amount of paint remaining = Total paint - Amount used up in painting landscape and clover
= 24 - ( 15+ 6)
24-21
=3 pints left
Since she needs 11 2/3 pints of green paints , she will need
11 2/3 - 3 = 8 2/3 .
Therefore she will need to buy more 8 2/3 pint of green paint.
16x^2 − 8x + 1 = 0
<span>Part A:
</span>b^2 - 4ac for ax^2 + bx + c
16x^2 − 8x + 1 = 0
so in this case,
a = 16, b = -8, c = 1
b^2 - 4ac
=(-8)^2 - (4 * 16* 1)
= 64 - 64
= 0
because it's equal 0, answer is one solution
Part B:
<span>4x^2 − 8x − 45 = 0
</span><span>solve the equation by factoring </span>
= (2x - 9)(2x + 5)
set (2x - 9)(2x + 5) equal to 0 to solve for x
so
(2x - 9)(2x + 5) = 0
2x - 9 = 0
x = 9/2
x = 4.5
2x + 5 = 0
x = -5/2
x = -2.5
answer
x = -2.5 or x = 4.5
Hope it helps
