Complete the statement:

Mathematics

1 answer:

r-ruslan [8.4K]2 years ago

7 0

Angle 12 and Angle 10 are vertical angles.

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–125 ÷ –5 = ? A. –23 B. –25 C. 23 D. 25

vovikov84 [41]

Answer:

The answer is 25

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

A local bank in town offers two types of savings plan with different interest rates to customers. Plan A offers an annual intere

scoray [572]

Assuming he had not dealt with the bank offering plan B before, he has nothing deposited two years back. Hence plan B only gives him only 0.2% annual interest for his deposit.
Plan A gives 0.25% for his deposit all the time.
So plan A is more advantageous.

For durations,
To reach $1,000,000 from $100,000, the money needs to grow 10 fold, or
(1+i)^n=10
n=log(10)/log(1+i).

So for plan A:
n=log(10)/log(1.0025)=922.18 years, while for

plan B
n=log(10)/log(1.0020)=1152.44 years.

Hope the bank(s) still exist at that time.

6 0

3 years ago

Assume that f is continuous on [-4,4] and differentiable on (-4,4). The table gives some values of f'(x) x: -4, -3, -2, -1, 0, 1

kondaur [170]

$f$ will be increasing on the intervals where $f'(x)>0$ and decreasing wherever $f'(x)$ . Local extrema occur when $f'(x)=0$ and the sign of $f'(x)$ changes to either side of that point.

$f'(x)$ is positive when $x$ is between -4 and some number between -2 and -1, and also 2 (exclusive) and 4, so you can estimate that $f(x)$ is increasing on the intervals [-4, -2] and (2, 4].

$f'(x)$ is negative when $x$ is between some number between -2 and -1, up to some number less than 2. So $f(x)$ is decreasing on the interval [-1, 1].

You then have two possible cases for extrema occurring. The sign of $f'(x)$ changes for some $x$ between -2 and -1, and again to either side of $x=2$ .