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2 years ago

Probability and statistics

Mathematics

1 answer:

Hatshy [7]2 years ago

3 0

Answer:

First: 4/10 aka 2/5

Second: 3/9 aka 1/3

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An initial of the $100 is now valuated at $150. The annual interest rate is 5%, compounded continuously. The equation 100e^0.05=

tangare [24]

Answer:

8 years approximately

The problem (I'm assuming is):

Solve $100e^{0.05t}=150$ .

I put a t in the problem where I suspected it in went.

Step-by-step explanation:

$100e^{0.05t}=150$

Divide both sides by 100:

$e^{0.05t}=\frac{150}{100}$

$e^{0.05t}=1.5$

Rewrite in logarithm form.

$\ln(1.5)=0.05t$

Divide both sides by 0.05:

$\frac{\ln(1.5)}{0.05}=t$

Put left hand side into calculator:

$8.109 \approx t$

$t \approx 8.109$

So about 8 years if I wrote down the equation correctly.

4 0

2 years ago

Read 2 more answers

Based on the extreme value theorem, what is the maximum value of f(x) = –x2 + 6x over the interval [1, 4]?

Tju [1.3M]

Answer:

$Maximum\ value\ =9 ,at\ x=3$

Step-by-step explanation:

From the question we are told that:

Function given

$f(x) = -x^2 + 6x$

Co-ordinates

(x,y)=[1, 4]

Generally the second differentiation of function is mathematically given by

$-2x+6$

Therefore critical point

$x=3$

Generally the substitutions of co-ordinate into function is mathematically given by

For 1

$F(1)=-(1)^2 + 6(1)\\F(1)=5$

For 4

$F(4)=-(4)^2 + 6(4)\\F(4)=8$

For critical point 3

$F(3)=-(3)^2 + 6(3)\\F(3)=9$

Therefore the maximum value of f(x) = –x2 + 6x over the interval [1, 4] is given by

$Maximum\ value\ =9 ,at\ x=3$

3 0

2 years ago

Read 2 more answers

can anyone explain this question please - What is the standard form of the following equation? y+3=1/4x Use integers for A, B, a

Vlad1618 [11]

Standard form is
ax+by=c
where a,b,c are integers

y+3=1/4x
timesboth sides by 4
4y+12=x
minus x both sides
-x+4y+12=0
minus 12 both sides
-x+4y=-12
(I like x to be positive so)
times both sides by -1
1x-4y=12
a=1
b=-4
c=12

4 0

2 years ago

A square wrestling mat has a side length of (4x - 1) feet.

son4ous [18]

Answer:

$(4x-1)^2$

Step-by-step explanation:

Area of a square = $l^2$

If l = $(4x - 1)$ ,

Then area = $(4x - 1)^2$

HOPE THIS HELPS

7 0

2 years ago

HELP ASAP!!<br> What is the unit rate for the situation in terms of centimeter/minute?

vesna_86 [32]

The unit rate is 5cm per 1min

5:1

4 0

2 years ago