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geniusboy [140]

3 years ago

15

April invested $7500 into a continuously compounded account with an interest rate of 2.7% for 2 years. How much money was in the

account after that time?
Round your answer to the nearest dollar.

2 answers:

zlopas [31]3 years ago

6 0

Answer:

7980

Step-by-step explanation:

Use the formula for calculating compound interest A=P0ert where P0=7500, r=0.031, and t=2. Substitute the values into the formula and simplify.

A=7500e0.031⋅2

A=7500e0.062

A=7500(1.063...)

A=7979.72

To the nearest dollar, the balance of the account is A≈7980 after two years.

pogonyaev3 years ago

3 0

Answer:

The final balance is $7,913 and the total compound interest is $413.27

To calculate compound intrest, you need to multiply the initial principal amount ($7500) by one , plus the annual intrest rate (2.7%) raised to the number of compound periods minus one. The total initial amount of the loan is the subtracted from the resulting value.

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moora borrowed 4500 from her grandfather to pay for her first year of college. 3 years later she repaid the 4500 along with an i

Ghella [55]

Answer:

I believe the answer is $81.00 a year.

Step-by-step explanation:

Divide $243 by 3. Hope this helps!

7 0

3 years ago

The table shows a proportional relationship between the number of pounds of bananas purchased and the total cost of bananas.

Liula [17]

Answer:

Choice A, C and E

Step-by-step explanation:

<em>Your table is poorly presented</em>

Given

x y

$\begin{array}{cc} {3} & {1.47} \ \\ {5} & {2.45} \ \\ {9} & {4.41} \ \ \end{array}$

First, we calculate the constant of proportionality (k)

$k = \frac{y}{x}$

For (3,1.47)

$k = \frac{1.47}{3}$

$k = 0.49$

For (5,2.45)

$k = \frac{2.45}{5}$

$k = 0.49$

For (9,4.41)

$k = \frac{4.41}{9}$

$k = 0.49$

From the above calculations, the constant of proportionality is 0.49.

So, the usable rows must also have 0.49 as their constant of proportionality

<u>Choice A</u>

$(x,y) = (2,0.98)$

$k = \frac{0.98}{2}$

$k = 0.49$ --- <em>This is usable</em>

<em />

<u>Choice B</u>

$(x,y) = (7,4.45)$

$k = \frac{4.45}{7}$

$k = 0.64$ --- <em>This is not usable</em>

<em />

<u>Choice C</u>

$(x,y) = (6,2.94)$

$k = \frac{2.94}{6}$

$k = 0.49$ --- <em>This is usable</em>

<em />

<u>Choice D</u>

$(x,y) = (1,0.54)$

$k = \frac{0.54}{1}$

$k = 0.54$ ---- <em>This is not usable</em>

<em />

<u>Choice E</u>

$(x,y) = (8,3.92)$

$k = \frac{3.92}{8}$

$k = 0.49$ --- <em>This is usable</em>

5 0

3 years ago

If you were to flip a coin 10 times, what is the probability that it will land on heads exactly 7 out of 10 times?

bezimeni [28]

Answer:

The probability of flipping a coin 10 times and it landing on heads exactly seven times is about 0.1172 or 11.72%.

Step-by-step explanation:

We can use basic binomial distribution, which is given by the formula:

$\displaystyle P(x) = {n \choose x}p^xq^{n-x}$

Where <em>n</em> represent the number of trials, <em>x</em> represent the number of successes desired, <em>p</em> represent the chance of success, and <em>q</em> represent the chance of failure.

Since we are flipping a coin 10 times, we are conducting 10 trials. So, <em>n</em> = 10.

We want to probability that it lands on heads exactly 7 out of 10 times. So, the number of desired successes <em>x</em> is 7.

The probability of success <em>p</em> is 1/2.

And the probability of failure <em>q</em> is also 1/2.

Substituting:

$\displaystyle P(7)={10 \choose 7}\left(\frac{1}{2}\right)^7\left(\frac{1}{2}\right)^3=120\left(\frac{1}{2}\right)^{10}=\frac{120}{1024}=\frac{15}{128}\approx0.1172$

The probability of flipping a coin 10 times and it landing on heads exactly seven times is about 0.1172 or 11.72%.

8 0

3 years ago

A store advertises 15% off an item that regularly sells for $300.

maw [93]

Answer:

15%=15/100=0.15

15% off means = regular price - (15% of regular price)

= 300 - (0.15*300)=255

So sale price is $255

Step-by-step explanation:

5 0

4 years ago

Tamara purchased 31 cases of tile to use on her bathroom floors .she used 17 cases in her upstairs bathroom and the rest in her

Vikki [24]

The correct equation would be 17 + x = 31

6 0

3 years ago

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