Given n//m prove m and 3 = m angle 5

you have $15,000 to invest for 5 years at 5.5% annual interest rate that is compounded continuously. how much money will you hav

MissTica

Answer:

$19,747.96

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 5.5% into a decimal:

5.5% -> $\frac{5.5}{100}$ -> 0.055

Next, plug in the values into the equation:

$A=15,000e^{0.055(5)}$

$A=19,747.96$

After 5 years, you will have $19,747.96

4 0

3 years ago

Expand & simplify

Wittaler [7]

Answer:

6(2a+4)-4(3a-4)= (12a+24) +(-12a+16) = 40

4 0

2 years ago

How to tell if an ordered pair is a solution to a function

Evgen [1.6K]

A) yes
B) yes
C) no

For each of these, substitute the value of x in the ordered pair into x in the function.

For A, x = -5; -5<2, so the piece of the function we want is f(x) = 3. In our ordered pair, y=f(x)=3, so yes, it is a solution.

For B, x = 2; 2≤2<6, so the piece of the function we want is f(x) = -x+1. In our ordered pair, y=f(x)=-1; -2+1=-1, so yes, it is a solution.

For C, x = 8; 8≥6, so the piece of the function we want is f(x) = x. In our ordered pair, y=f(x)=-7; -7≠8, so no, it is not a solution.

5 0

3 years ago

Find the intersection point between the lines of equations: 2x-y+6=0 and 2x+3y-6=0

Ugo [173]

Step-by-step explanation:

The two equation will intersect each other at the point which will be the solution of the given two equations , and the given equations are ,

$\implies 2x -y +6=0\\\\\implies 2x + 3y -6=0$

On subtracting the given equations we have,

$\implies -y - 3y +6 -(-6) = 0 \\\\\implies -4y = -12 \\\\\implies y = -12/-4\\\\\implies y = 3$

Put this value in any equation , we have ,

$\implies 2x -3 +6 =0\\\\\implies 2x = -3 \\\\\implies x =\dfrac{-3}{2} \\\\\implies x =-1.5$

Hence the lines will Intersect at ,

$\implies\underline{\underline{ Point=(-1.5, 3)}}$

8 0

2 years ago

Read 2 more answers

Solve 2 1/2 divided by 5 1/3 = 8/x

ipn [44]

$2\frac { 1 }{ 2 } \quad divided\quad by\quad 5\frac { 1 }{ 3 } \\ \\ 2\frac { 1 }{ 2 } =2+\frac { 1 }{ 2 } =\frac { 5 }{ 2 } \\ \\ 5\frac { 1 }{ 3 } =5+\frac { 1 }{ 3 } =\frac { 15+1 }{ 3 } =\frac { 16 }{ 3 } \\ \\ \\ \frac { \frac { 5 }{ 2 } }{ \frac { 16 }{ 3 } }$

We're dividing fractions, so we will flip the one in the denominator upside down and we will multiply it with the numerator.

$\frac { \frac { 5 }{ 2 } }{ \frac { 16 }{ 3 } } \quad =\quad \frac { 5 }{ 2 } \cdot \frac { 3 }{ 16 } =\frac { 5\cdot 3 }{ 2\cdot 16 } =\frac { 15 }{ 32 }$

Let's equal this too 8/x

$\frac { 15 }{ 32 } =\frac { 8 }{ x }$

Cross multiply.

$8\cdot 32=15\cdot x\\ \\ 256=15x$

Divide both sides by 15.

$\frac { 256 }{ 15 } =\frac { 15x }{ 15 } \\ \\ \frac { 256 }{ 15 } =x$

4 0

3 years ago

Given n//m prove m and 3 = m angle 5 ​

Given n//m prove m and 3 = m angle 5