Line p goes through points (-2,6) and (4, -3). What is the equation of line p?

If $516 is invested at an interest rate of 9% per year and is compounded continuously, how much will the investment be worth in

m_a_m_a [10]

Answer:

$809.25

Step-by-step explanation:

You are going to want to use the continuous compound interest formula, which is shown below.

$A = Pe^{rt}$

A = total

P = principal amount

r = interest rate (decimal)

t = time (years)

First, lets change 9% into a decimal:

9% -> $\frac{9}{100}$ -> 0.09

Lets plug in the values now:

$A=516e^{0.09(5)}$

$A=809.25$

The investment will be worth $809.25 after 5 years.

6 0

2 years ago

What is the circumference of a circle with a radius of 56 inches

DIA [1.3K]

Answer:

351.8584

Step-by-step explanation:

circumfrence is pi times diameter, diameter is twice the amound of radius.

3 0

2 years ago

an inlet pipe and a hose together can fill the pond in 10 hours. The inlet pipe alone can complete the job in one hour less time

Annette [7]

Answer:

The hose pipe can fill the pond in 21.465 hours.

The inlet pipe can fill the pond in 20.465 hours.

Step-by-step explanation:

Given that, a inlet pipe and a hose pipe together can fill the pond in 10 hours.

The inlet pipe alone can fill the pond in one hour less time than the hose pipe can fill the pond.

Let the hose pipe can complete the job in x hours.

Then the inlet pipe can fill the pond in (x-1) hours.

The rate of filling of hose pipe is $=\frac{1}{x}$

The rate of filling of inlet pipe is $=\frac{1}{x-1}$

The rate of filling of both pipes is = $\frac 1{10}$

According to the problem,

$\frac{1}{x}+\frac{1}{x-1}=\frac{1}{10}$

$\Rightarrow \frac{x-1+x}{x(x-1)}=\frac1{10}$ [ simplifying the fraction]

$\Rightarrow \frac{2x-1}{x^2-x}=\frac1{10}$

$\Rightarrow 10(2x-1)= x^2-x$ [ Multiplying 10(x²-x) both sides]

$\Rightarrow x^2-x= 20x-10$

$\Rightarrow x^2-x-20x+10=0$ [ simplifying ]

$\Rightarrow x^2-21x+10=0$

$\Rightarrow x=\frac{-(-21)\pm\sqrt{(-21)^2-4.1.10}}{2.1}$ [ applying quadratic formula]

$\Rightarrow x=\frac{21\pm21.93}{2.1}$

⇒ x= 21.465, -0.465

x= - 0.465 does not possible, since time can not be negative.

∴x=21.465

The hose pipe can fill the pond in 21.465 hours.

The inlet pipe can fill the pond in (21.465-1)=20.465 hours.

3 0

2 years ago

The length of the hypotenuse of a right triangle is 26 in. one leg measures 13 in. find the length of the other leg. round your

Ghella [55]

Use c^2=a^2+b^2
26^2= 13^2 + b^2
676=169 + b^2 (subtract 169 from both sides)
507= b^2 (take the square root of each side)
22.52 in. =b

3 0

2 years ago

Four balls are taken to the top of a building. ball 1 is dropped (zero initial velocity). ball 2 is thrown straight up with a ve

tia_tia [17]

The one which has the greatest initial DOWNWARD velocity which is ball 4

4 0

2 years ago