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3 years ago

HELP IMMEDIATELY, ILL GIVE BRAINLY!!!!!!

Mathematics

1 answer:

klio [65]3 years ago

7 0

Step-by-step explanation:

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Sung Lee invests $4,000 at age 18. He hopes the investment will be worth $16,000 when he turns 25. If the interest compounds con

irinina [24]

Answer:

The growth rate he needs to achieve his goal is approximatelly 19.8%

Step-by-step explanation:

Since the sum will be compounded continuously we have to use the appropriate formula given below:

M = C*e^(r*t)

Where "M" is the final amount, C is the initial amount, r is the interest rate and t is the time elapsed. Since Sung Lee will invest that sum at 18 years old and he wants to recieve the return at 25, then the time elapsed is given by 25 -18 = 7 years. We can now apply the data to the formula:

16000 = 4000*e^(r*7)

4000*e^(7*r) = 16000

e^(7*r) = 16000/4000 = 4

ln[e^(7*r)] = ln(4)

7*r = ln(4)

r = ln(4)/7 = 0.198

The rate of interest is given by (r)*100%, so we have (0.198)*100% = 19.8%.

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3 years ago

The equation y = 2x + 1 is changed to y = 2x - 1. How does this change the graph of the line?

Mekhanik [1.2K]

Y = 2x + 1
y = 2x - 1

so the 1st one has a y int of 1 and the second one has a y int of -1...so the original line will shift down 2 units

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3 years ago

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The weight of gemstones, such as diamonds, rubies, and emeralds, is measured in carats. A carat is a unit of measure equal to 20

Alexxx [7]

We are told in the question that 1 carat is equal to 200 mg.

The Hope Diamond is 44.5 carats. Let's multiply the weight of 1 carat by 44.5 to get the weight of the Hope Diamond in mg:

$\frac{200mg}{1 carat}* \frac{44.5 carats}{1}=8,900 mg$

The total weight of the Hope Diamond is 8,900 mg. However the question asks for the weight in grams. There are 1000 mg in 1 gram, so let's divide the known weight of the Hope Diamond in mg by 1000 to get the weight converted to grams:

$\frac{8,900mg}{1000}=8.9grams$

Now we know that the weight of the Hope Diamond is equal to 8.9 grams.

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3 years ago

Find the quotient of the following: f(x)=2x-5, g(x) 1-x

AfilCa [17]

What are the answer choices

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2 years ago

The area of a square is found by squaring one of its sides, (A = s2). A certain square has an area of z2 + 18z + 81. Factor the

masya89 [10]

Here is your answer

Given area is

z^2 + 18z + 81

= z^2 + 2× z × 9 + 9^2

[using (a+b)^2= a^2 + 2ab + b^2], we get

= (z+9)^2

we know that area of a square is represented by side^2.

So, here

Side of square is

$z+9$

HOPE IT IS USEFUL

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3 years ago

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