Solve A=1/2bh for b.

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

Because triangle XYZ is a right triangle, the side lengths must satisfy the Pythagorean theorem, a2 + b2 = c2, which in this iso

abruzzese [7]

Complete Question

Because triangle XYZ is a right triangle, the side lengths must satisfy the Pythagorean theorem, a² + b² = c², which in this isosceles triangle becomes a² + a² = c². By combining like terms, 2a² = c². Which final step will prove that the length of the hypotenuse, c, is StartRoot 2 EndRoot times the length of each leg?

a) substitute values for a and c into the original pythagorean theorem equation.

b) divide both sides of the equation by two, then determine the principal square root of both sides of the equation.

c) determine the principal square root of both sides of the equation.

d) divide both sides of the equation by 2.

Answer:

c) determine the principal square root of both sides of the equation.

Step-by-step explanation:

Pythagoras Theorem for a right angled triangles states that:

a²+ b²= c²

But for an Isosceles Triangle, where two sides of the triangle are equal, we have:

a²+ a² = c²

By combining like terms

2a² = c²

We square root both sides of the equation.

√2a² = √c

√2a² = c

The final step will prove that the length of the hypotenuse, c, is StartRoot 2 EndRoot times the length of each leg = √2a² = c is Option c.

4 0

3 years ago

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Lana makes eight dollars an hour Plus $12 an hour for every hour overtime. Overtime hours are any hours more than 40 hours for t

vagabundo [1.1K]

Answer:

W = $8X

Step-by-step explanation:

Lana makes $8 per hour

Extra $12 an hour for every hour overtime

Overtime are hours more than 40 hours per week

In this case, Lana worked for X hours with no overtime

If W is wages earned for working for X hours , the equation will be;

W= X * $8

W= $8X

5 0

3 years ago

Given the piecewise function shown below select all of the statements that are true please help

KengaRu [80]

Answer:

B and D

Step-by-step explanation:

Take a look at all the options x=4, 3, 1, 2 > 0

So, we just care about the domain where x>0, which is $f(x)=x^{2}$ .

Then plug in x we will have the right answer.

5 0

3 years ago

A cube in Emily's closet where she stores her jewelry has a side length of 1 1/4 feet.

Gnom [1K]

Answer:

1.95 cubic feet

Step-by-step explanation:

We are given that Emily stores her jewelry in a cube and the cube has a side length of $1\frac{1}{4}$ feet.

$1\frac{1}{4}$ feet in an decimal form is 1.25 feet.

We know that,

volume of a cube = s $^{3}$

where s is the side length of the cube.

So substituting this value of side length of cube in the formula to get:

Volume of cube = $(1.25)^3$ = 1.95 feet

3 0

3 years ago

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