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3 years ago

6

Macy currently has a balance of $3,418.82 in an account earning simple interest. Eighteen years ago she opened the account with

an initial deposit of $2,481. What is the interest rate on the account?

1 answer:

Elis [28]3 years ago

8 0

The simple interest is 1.79726

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Consider the following.3x + 3y = 8(a) Find y' by implicit differentiation.(b) Solve the equation explicitly for y and differenti

ludmilkaskok [199]

Answer:

a.y'=-1

b.y'=-1

c.Yes

Step-by-step explanation:

We are given that consider a function

$3x+3y=8$

Implicit function: That function is a relation in which dependent variable can not be expressed in terms of independent variable

Explicit function: It is that function in which dependent variable can be expressed in terms of independent variable.

a. $3x+3y=8$

Differentiate w.r.t x then we get

$3+3\frac{dy}{dx}=0$

$3\frac{dy}{dx}=-3$

$\frac{dy}[dx}=\frac{-3}{3}=-1$

$\frac{dy}{dx}=y'=-1$

b. $3x+3y=8$

$3y=8-3x$

$y=\frac{8-3x}{3}$

Differentiate w.r.t x then we get

$\frac{dy}{dx}=\frac{-3}{3}=-1$

$\frac{dy}{dx}=y'=-1$

When we substituting the value of y obtained from part b into a solution of part a then we get

$y'=-1$

Hence, solutions are consistent.

8 0

3 years ago

45. For customers generating their own solar power, ZG&E charges them $3 per month per kilowatt (kWh) for excess electricity

uranmaximum [27]

(A) The customer that owns a 3-kW system exports 120 kWh monthly to the grid will have the following bills for both companies:

For ZG&E that collects $3 per kWh on a monthly basis, the monthly bill will be

$120kWh\times\frac{\$3}{1kWh}=\$360$

For Ready Edison that collects $0.06 per kWh exported energy monthly, the computation of bill will be

$\$20+(120kWh\times\frac{\$0.06}{1kWh})=\$27.2$

(B) The customer that owns a 5-kW system exports 300 kWh monthly to the grid will have the following bills for both companies:

For ZG&E that collects $3 per kWh on a monthly basis, the monthly bill will be

$300kWh\times\frac{\$3}{1kWh}=\$900$

For Ready Edison that collects $0.06 per kWh exported energy monthly, the computation of bill will be

$\$20+(300kWh\times\frac{\$0.06}{1kWh})=\$38$

4 0

1 year ago

What's the perimeter of a rectangular hexagon with one side measures 3 inches

MakcuM [25]

Answer:

6 sides of the hexagon * one side length of 3 inches = 18

Step-by-step explanation:

3 0

3 years ago

Convert “6750.” into scientific notation

Sophie [7]

Answer:

6.75 × 10^3

Step-by-step explanation:

Move the decimal 3 times to the left so that the resulting number, m = 6.75, is greater than or equal to 1 but less than 10

Since we moved the decimal to the left the exponent n is positive

n = 3

Write in the scientific notation form, m × 10^n

6.75 × 10^3

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2 years ago

How do you solve the following system of equations by eliminating the y-values? I've already solved it by eliminating the x-valu

AlexFokin [52]

Step-by-step explanation:

The coefficients of the y terms are -3 and 2. The least common multiple of 3 and 2 is 6. So multiply the first equation by 2 and the second equation by 3, so that the y terms have a coefficient of 6.

4x − 6y = 42

-18x + 6y = 21

The signs are opposite, so add the equations together.

-14x = 63

x = -9/2

6 0

3 years ago