All categories

3 years ago

Consider the given piece wise-function

Mathematics

1 answer:

Colt1911 [192]3 years ago

6 0

9514 1404 393

Answer:

a) -1

b) 4A -3

Step-by-step explanation:

a) The function for x < 2 simplifies to ...

f(x) = (x -3)(x -2)/(x -2)

f(x) = x -3

Then f(2-) = 2 -3 = -1

The limit is -1.

b) The value for x=2 is ...

f(2) = A(2^2) -4(2) +5

f(2) = 4A -3 . . . . the limit at x→2+

You might be interested in

When Daniel left his house in the morning, his cell phone battery was partially

Mila [183]

Answer:

24.75 percents

Step-by-step explanation:

6 0

3 years ago

You need at least $535 to go on a trip to California. You have already save $200. You decide to save an additional $25 per week.

FrozenT [24]

Answer:

200+25w

Step-by-step explanation:

200=starting amount

25=every week gaining

w=weeks

Answer= 14.5 weeks

Hope it helps!

4 0

3 years ago

Read 2 more answers

I will give you a Brainly crown if it is right. Will you help me

Rufina [12.5K]

Answer:

angle b is 30 degrees

Step-by-step explanation:

a right angle is 90 degrees so you can do 90 -60 witch gets you 30 degrees

7 0

3 years ago

What is the slope of the line with the equation 8x + 3y = 9?

Sidana [21]

8x+3y=9
-8x. -8x
3y = -8x+9
3y/3 = (-8x+9)/3
y = -8/3x +3
so, slope is -8/3

6 0

4 years ago

Enos took out a 25-year loan for $135,000 at an APR of 6.0%, compounded monthly, and he is making monthly payments of $869.81. W

Alborosie

Present value = 135000
Monthly interest, i = 0.06/12 = 0.005
Monthly payment, A= 869.81

Future value of loan after 16 years
$F=P(1+i)^n$ [compound interest formula]
$=135000(1+.005)^{16*12}$
$=351736.652$

Future value of payments after 16 years
$\frac{A((1+i)^n-1)}{i}$
$=\frac{869.81((1+0.005)^{16*12}-1)}{0.005}$
$=279287.456$

Balance = future value of loan - future value of payments
=351736.652-279288.456
= $ 72448.20

Note: the exact monthly payment for a 25-year mortgage is
$A=\frac{P(i*(1+i)^n)}{(1+i)^n-1}$
$=\frac{135000(0.005*(1+0.005)^{25*12}}{(1+0.005)^{25*12}-1}$
$=869.806892$

Repeating the previous calculation with this "exact" monthly payment gives
Balance = 72448.197, very close to one of the choices.

So we conclude that the exact value obtained above differs from the answer choices is due to the precision (or lack of it) of the provided data.

The closest choice is therefore <span>$72,449.19</span>

6 0

3 years ago

Read 2 more answers