Mathematics, 06.05.2020 03:42 enriqueliz1680

Linda invests $3000 in a bond trust that pays 8% interest compounded monthly. Her friend Lyla invests $3000 in a certificate of deposit that pays 7.75% compounded continuously. For Linda: a. State which formula should be used to solve this problem. b. Write the function for Linda. c. Determine how much Linda would have in her account after 20 years

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Answer from: elmo4851

For Linda the formula that would be used to solve this problem is: FV = A (1 + r)^nm

For Linda, the function is: $3000(1.0067)^12n.

The amount Linda would have in her account after 20 years is $14,780.41.

The formula for determining the future value of an amount of money is: FV = A (1 + r)^nm

Where:

FV = Future value A = Amount deposited R = interest rate = 8%/12 = 0.067 m = number of compounding = 12 N = number of years = 20

Value after 20 years $3000(1.0067)^(12 x 20) = $14,780.41.

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Answer from: mercedesamatap21hx0

a) The interest is compounded monthly, so should use the compound interest formula.

b) $A(t) = 3000(1.0067)^{12t}$

c) Linda would have $14898.33 in her account after 20 years.

Step-by-step explanation:

Compound Interest Formula:

$A(t) = P(1 + \frac{r}{n})^{nt}$

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the number of years for which the money is invested.

Continuous Interest Formula:

$P(t) = P(0)e^{rt}$

In which P(0) is the initial amount invested and r is the interest rate, as a decimal.

For Linda: a. State which formula should be used to solve this problem.

The interest is compounded monthly, so should use the compound interest formula.

b. Write the function for Linda.

Invests 3000, so P = 3000

8% interest, so r = 0.08

Compounded monthly. An year has 12 months, so n = 12

Then

$A = P(1 + \frac{r}{n})^{nt}$

$A = 3000(1 + \frac{0.08}{12})^{12t}$

$A = 3000(1.0067)^{12t}$

c. Determine how much Linda would have in her account after 20 years

This is A(20)

$A = 3000(1.0067)^{12*20} = 14898.33$

Linda would have $14898.33 in her account after 20 years.

Answer from: Quest

step-by-step explanation:

Answer from: Quest

c. x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

$\frac{little}{big} =\frac{side mn}{side ab}=\frac{side on}{side cb}$ .

$\frac{0.96}{1.2}=\frac{x}{3}$

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

$0.96(3)=1.2(x)\\2.88=1.2x\\\frac{2.88}{1.2}=\frac{1.2x}{1.2} \\2.4=x$

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