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3 years ago

8

Franco invests 4500 in a account that earns a 3.8% nominal yearly interest rate compounded continuously.If he withdraws the prof

it from the investment after 5 years, how much has he earned on his investment

1 answer:

Nimfa-mama [501]3 years ago

5 0

Answer: Profit = $941.6

Step-by-step explanation:

The formula for continuously compounded interest is

A = P x e (r x t)

Where

A represents the future value of the investment after t years.

P represents the present value or initial amount invested

r represents the interest rate

t represents the time in years for which the investment was made.

e is the mathematical constant approximated as 2.7183.

From the information given,

P = $4500

r = 3.8% = 3.8/100 = 0.038

t = 5 years

Therefore,

A = 4500 x 2.7183^(0.038 x 5)

A = 4500 x 2.7183^(0.19)

A = $5441.6

the profit from the investment after 5 years is

5441.6 - 4500 = $941.6

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How do I solve 2m + n = 2 and 3m - 2n = 3 using substitution?

Leona [35]

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

Solve 2m + n = 2 and 3m - 2n = 3 using substitution.

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

We can use the substitution method to solve linear equations of this form. Let's solve for m & n.

$\left. \begin{array} { l } { 2 m + n = 2 } \\ { 3 m - 2 n = 3 } \end{array} \right.$

To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

$2m+n=2, \: 3m-2n=3$

Choose one of the equations and solve it for m by isolating m on the left-hand side of the equal sign.

$2m+n=2$

Subtract n from both sides of the equation.

$2m=-n+2$

Divide both sides by 2.

$m=\frac{1}{2}\left(-n+2\right) \\$

Multiply 1/2 times -n+2.

$m=-\frac{1}{2}n+1 \\$

Substitute $-\frac{n}{2}+1\\$ for m in the other equation, 3m-2n=3.

$3\left(-\frac{1}{2}n+1\right)-2n=3 \\$

Multiply 3 times $-\frac{n}{2}+1\\$ .

$-\frac{3}{2}n+3-2n=3 \\$

Add $-\frac{3n}{2}\\$ to -2n.

$-\frac{7}{2}n+3=3 \\$

Subtract 3 from both sides of the equation.

$-\frac{7}{2}n=0 \\$

Divide both sides of the equation by $-\frac{7}{2}\\$ , which is the same as multiplying both sides by the reciprocal of the fraction.

$\large \underline{\underline{ \bf \: n=0 }}$

Substitute 0 for n in $m=-\frac{1}{2}n+1\\$ . Because the resulting equation contains only one variable, you can solve for m directly.

$\large \underline{ \underline{\bf \: m=1 }}$

The system is now solved.

$\huge \boxed{ \boxed{ \bf \: m=1, \: n=0 }}$

4 0

2 years ago

WHAT IS THE ANSWER PLZ I WILL MARK BRAINLIEST!!!

yKpoI14uk [10]

Answer:

There is something already at the positive 2 place and you are just subtracting 2 because of (-2)

I hope that helps :)

Step-by-step explanation:

plz mark B R A I N L I E S T

6 0

2 years ago

Please hurry up .......

andre [41]

Answer:

I think the answer is D.

4 0

1 year ago

Read 2 more answers

Two consecutive perfect squares have a difference of $99$. what is the value of the larger perfect square?

Fofino [41]

Answer:

2500

Step-by-step explanation:

Let the first square number be $x^2$ then the next square number is $(x+1)^2$ .

The difference between these two consecutive numbers is 99.

This implies that:

$(x+1)^2-x^2=99$

We expand to get:

$x^2+2x+1-x^2=99$

Simplify:

$2x=99-1$

$2x=98$

Divide both sides by 2

$x=49$

Therefore the value of the larger perfect number is

$(49+1)^2=50^2=2500$ .

6 0

3 years ago

The gross pay of a worker in a factory is €30800.60 per annum. If €504 is deducted from his salary month,how much does he take h

barxatty [35]

The amount of money worker will take home is €24752.6

<h3>What is gross pay?</h3>

Gross pay is the amount earned by any individual without any deductions of the taxes, and charges. It is the total amount of money earned by anyone.

Given that:-

The gross pay of a worker in a factory is €30800.60 per annum. If €504 is deducted from his salary month.

The amount of money he will take home will be calculated as:-

Gross pay = €30800.60

Deductions = €504 per month = 504 x 12 = €6048 per year.

So net pay = 30800.6 - 6048 = €24752.6

Therefore the amount of money the worker will take home is €24752.6

To know more about gross pay follow

brainly.com/question/4356180

#SPJ1

5 0

1 year ago