1. A set is said to be a singleton set,ig a) n (A)=1 b) n (A)=0

Question: How long does it take an investment to quadruple in value if it earns 4% simple interest per year?

Assoli18 [71]

Answer:

It takes 75 years for the investment to quadruple in value

Step-by-step explanation:

Simple Interest

This is a simple interest problem.

The simple interest formula is given by:

$E = P*I*t$

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

$T = E + P$

In this question:

4% simple interest per year, so I = 0.04.

Quadruple:

t when T = 4P.

The interest earned is:

$T = E + P$

$4P = E + P$

$E = 3P$

Now we find the time.

$E = P*0.04*t$

$3P = P*0.04*t$

$0.04t = 3$

$t = \frac{3}{0.04}$

$t = 75$

It takes 75 years for the investment to quadruple in value

7 0

3 years ago

Determine what must be multiplied so that the expression below will have a common denominator. Use the backslash / to type in a

Mashutka [201]

Answer:

Multiply the first fraction by $\frac{x+4}{x+4}$

Multiply the second fraction by $\frac{x-4}{x-4}$

Step-by-step explanation:

Given

$\frac{4}{x^2 - 16} + \frac{3}{x^2 + 8x + 16}$

Required

Make the denominator equal

$\frac{4}{x^2 - 16} + \frac{3}{x^2 + 8x + 16}$

Factorize the denominator

$\frac{4}{x^2 - 4^2} + \frac{3}{x^2 + 4x + 4x+ 16}$

$\frac{4}{(x - 4)(x + 4)} + \frac{3}{(x+ 4)(x + 4)}$

Multiply the first fraction by $\frac{x+4}{x+4}$

Multiply the second fraction by $\frac{x-4}{x-4}$

$\frac{x+4}{x+4} * \frac{4}{(x - 4)(x + 4)} + \frac{3}{(x+ 4)(x + 4)} * \frac{x-4}{x-4}$

$\frac{4(x + 4)}{(x - 4)(x + 4)(x + 4)} + \frac{3(x - 4)}{(x+ 4)(x + 4)(x - 4))}$

$\frac{4(x + 4)}{(x^2 - 16)(x + 4)} + \frac{3(x - 4)}{(x^2 - 16)(x + 4))}$

The expression now have the same denominator

7 0

3 years ago

I want some Mathematics questions about ratio and proportion

Nat2105 [25]

Answer:

Mel fills his gas tank up with 6 gallons of premium unleaded gas for a cost of $26.58. How much would it cost to full an 18 gallon tank?

or

Jacob ran 10 miles in 80 minutes. At that rate how far would he run in 2.5 hours?

6 0

3 years ago

Read 2 more answers

Will give brainliest no files plz

jok3333 [9.3K]

Answer:

x=3 and y= 4 / 3 (Fraction)

Step-by-step explanation:

Substitute x for 6y-5.

2(6y−5)−3y=2

Add 6y and 3y, and multiply 5 by 2/Simplify the equation.

9y−10=2

Add 10 to both sides, and then divide each side by 9.

9y−10+10=2+10

9y / 9 = 12 / 9

y = 4/3.

Repeat the process but replace y with 4/3!

8 0

3 years ago

Read 2 more answers

, Hayley sold 20 tickets to the school play for a total of $225 early bird tickets were $10 and regular price tickets were $15 w

Lady_Fox [76]

Answer:

15 early tickets were sold and 5 regular tickets were sold.

Step-by-step explanation:

Let x be the number of early bird tickets sold and y be the number of regular tickets sold.

Total number of tickets sold = 20

Thus, we can write the equation,

$x + y = 20$

Cost of early bird ticket = $10

Cost of regular tickets = $15

Total cost = $225

Thus, we can write the equation,

$225 = 10x + 15y$

We solve the equation by elimination method by multiplying first equation by 10 and subtracting.

$10x + 15y-(10x+10y) = 225 - 200\\5y = 25\\\Rightarrow y=5\\x + 5 = 20\\\Rightarrow x = 15$

Thus, 15 early tickets were sold and 5 regular tickets were sold.

5 0

3 years ago

1. A set is said to be a singleton set,iga) n (A)=1 b) n (A)=0​

1. A set is said to be a singleton set,iga) n (A)=1 b) n (A)=0