Answer:
155
Step-by-step explanation:
calculate the areas of 2 rectangles
method A
one rectangle with lengths 8 and 10
the other 15 and 5
so 8x10 + 15x5 = 80 + 75 = 155
method B
one traingle with lenghts 5 and 7
the other 15 and 8
so 15x8 + 5x7 = 120 + 35 = 155
Answer:
Im looking for this answer to lol
Step-by-step explanation:
So it tells us that g(3) = -5 and g'(x) = x^2 + 7.
So g(3) = -5 is the point (3, -5)
Using linear approximation
g(2.99) is the point (2.99, g(3) + g'(3)*(2.99-3))
now we just need to simplify that
(2.99, -5 + (16)*(-.01)) which is (2.99, -5 + -.16) which is (2.99, -5.16)
So g(2.99) = -5.16
Doing the same thing for the other g(3.01)
(3.01, g(3) + g'(3)*(3.01-3))
(3.01, -5 + 16*.01) which is (3.01, -4.84)
So g(3.01) = -4.84
So we have our linear approximation for the two.
If you wanted to, you could check your answer by finding g(x). Since you know g'(x), take the antiderivative and we will get
g(x) = 1/3x^3 + 7x + C
Since we know g(3) = -5, we can use that to solve for C
1/3(3)^3 + 7(3) + C = -5 and we find that C = -35
so that means g(x) = (x^3)/3 + 7x - 35
So just to check our linear approximations use that to find g(2.99) and g(3.01)
g(2.99) = -5.1597
g(3.01) = -4.8397
So as you can see, using the linear approximation we got our answers as
g(2.99) = -5.16
g(3.01) = -4.84
which are both really close to the actual answer. Not a bad method if you ever need to use it.
<h2>
Answer:</h2>
The solution for x in this equation is <em>18</em>.<em> </em>
Answer:
Step-by-step explanation:
The formula for the total accrued amount is
A = P(1 + rt)
Data:
P = $500
r = 6.5 % = 0.065
t = 30 mo
Calculations:
(a) Convert months to years
t = 30 mo × (1 yr/12 mo) = 2.5 yr
(b) Calculate the accrued amount
A = 500(1 + 0.065 × 2.5)
= 500(1 + 0.1625)
= 500 × 1.1625
= 581.25
(c) Calculate the accumulated interest
