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MA_775_DIABLO [31]

3 years ago

6

Ralph deposited $3,000 into a bank account that earn simple interest each year after 3.5years he had earn $226.50 and interest i

f no money was deposited into or withdrawn from the account what was the annual interest rate

1 answer:

PilotLPTM [1.2K]3 years ago

4 0

Answer:

r=0.02147=2.147%

Step-by-step explanation:

Interest=principal X interest rate X time(yearly)

$226.50=$3000 * R * 3.5year

r=0.02147=2.147%

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A city has an elevation of –752 feet. Which statement describes the city’s elevation?

tankabanditka [31]

Answer:

752 below sea level

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Step-by-step explanation:

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3 years ago

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4 0

3 years ago

A box with an open top has vertical sides, a square bottom, and a volume of 108 cubic meters. if the box has the least possible

Colt1911 [192]

Let x be the height of the box and y be the length of one side of the base then:-

V = xy^2 = 108

x = 108/y^2

Surface area = y^2 + 4xy
S = y^2 + 4y* 108/y^2
S = y^2 + 432/y
Finding the derivative:-
dS/dy = 2y - 432/y^2 = 0
2y^3 = 432
y^3 = 216
y = 6

Check if this gives a minimum value:-
second derivative = 2 + 864/y^3 which is positive so minimum.

V = xy^2 = 108
36y = 108
y = 3

Answer :- dimensions of the box is 3*6*6 metres

7 0

3 years ago

At the end of 2 years, P dollars invested at an interest rate r compounded annually increases to an amount, A dollars, given

Valentin [98]

Answer:

40%.

Step-by-step explanation:

We have been given that an amount of $100 compounded annually is increased to $196 in 2 years. We are asked to find the interest rate.

We will use compound interest formula to solve our given problem.

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

A = Final amount,

P = Principal amount,

r = Annual interest rate in decimal form,

n = Number of times interest is compounded per year,

t = Time in years.

Upon substituting our given values in above formula, we will get:

$196=100(1+\frac{r}{1})^{1*2}$

$196=100(1+r)^{2}$

$\frac{196}{100}=\frac{100(1+r)^{2}}{100}\\\\1.96=(1+r)^2$

$(1+r)^2=1.96$

Take positive square root of both sides:

$\sqrt{(1+r)^2}=\sqrt{1.96}$

$1+r=1.4\\\\1-1+r=1.4-1\\\\r=0.4$

Since interest rate is in decimal, form, so we will convert it into percentage as:

$0.4\times 100\%=40\%$

Therefore, the interest rate was 40%.

5 0

3 years ago

in a sample of 80 adults, 25 said that they would buy a car from a friend. three adults are selected at random without replaceme

PSYCHO15rus [73]

Answer:

31.9%

Step-by-step explanation:

We have that,

Total number of adults = 80

Number of people that would buy a car from a friend = 25

So, the number of people that would not buy a car from a friend = 80-25 = 55.

Since, three people are selected randomly.

Thus, the probability that none of them would buy a car from a friend is given by,

$\frac{\binom{55}{3}}{\binom{80}{3}}$

i.e. $\frac{\frac{55!}{3!\times 52!}}{\frac{80!}{3!\times 77!}}$

i.e. $\frac{55!\times 3!\times 77!}{3!\times 52!\times 80!}$

i.e. $\frac{55\times 54\times 53}{80\times 79\times 78}$

i.e. $\frac{157410}{492960}$

i.e. 0.319

Thus, the probability of people who would not buy a car from a friend is 0.319 i.e. 31.9%

5 0

3 years ago