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Mathematics

1 answer:

tensa zangetsu [6.8K]3 years ago

3 0

Answer: for 4 The 24 balloons cost are $40 and 9 balloons are $1.67

Step-by-step explanation:

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Sung Lee invests $5,000 at age 18. He hopes the investment will be worth $20,000 when he turns 25. If the interest compounds con

Temka [501]

Answer:

19.8%

Step-by-step explanation:

We have the following formula for continuous compound interest:

A = P * e ^ (i * t)

Where:

A is the final value

P is the initial investment

i is the interest rate in decimal

t is time.

The time can be calculated as follows:

25 - 18 = 7

That is, the time corresponds to 7 years. In addition, A is 20,000 for A and P would be 5,000, we replace:

20000 = 5000 * e ^ (7 * i)

20000/5000 = e ^ (7 * i)

e ^ (7 * i) = 4

ln e ^ (7 * i) = ln 4

7 * i = ln 4

i = (ln 4) / 7

i = 0.198

Which means that the rounded percentage will be 19.8% per year

3 0

3 years ago

Which of the following could be the function graphed?

Tpy6a [65]

Answer: The answer is $(d)~f(x)=\dfrac{237x}{421x-515}.$

Step-by-step explanation: We are given four different functions of the variable 'x' and a graph. We are told to select one of the four options that which function can be graphed as the graph given in the question.

To check, we start plotting the functions one by one on a graph paper. We see that the graph of first three functions do not match with the given graph, but the graph of the fourth function given by

$(d)~f(x)=\dfrac{237x}{421x-515}$