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2 years ago

5

Sam Monte deposits $21,500 into Legal Bank, which pays 6% interest that is compounded semiannually. Using the table in the handb

ook, what will Sam have in his account at the end of six years?

1 answer:

tatuchka [14]2 years ago

6 0

2,149,999.99 I dont know if it's right but this is what I got haha

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The table shows the estimated number of lines of code written by computer programmers per hour when x people are working.

PilotLPTM [1.2K]

Answer:

Hence, the model that best represents the data is:

$y=26.9x-1.3$

Step-by-step explanation:

We are given a table that shows the estimated number of lines of code written by computer programmers per hour when x people are working.

We are asked to find which model best represents the data?

So for finding this we will put the value of x in each of the functions and check which hold true that which gives the value of y i.e. f(x) as is given in the table:

We are given 4 functions as:

A)

$y = 47(1.191)^x$

B)

$y=34\times (1.204)^x$

C)

$y=26.9x-1.3$

D)

$y=27x-4$

We make the table of these values at different values of x.

x A B C D

2 66.66 49.3 52.5 50

4 94.57 71.44 106.3 104

6 134.14 103.57 160.1 158

8 190.27 150.14 213.9 212

10 269.91 217.64 267.7 266

12 382.85 315.5 321.5 320.

Hence, the function that best represents the data is:

Option C.

y=26.9x-1.3

6 0

2 years ago

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A gardener wants to replant a circular bare spot in a yard with grass. The bare spot has a radius of 8 inches. What is the area

ch4aika [34]

The area of the bare spot the gardener needs to replant is 201 square feet

Step-by-step explanation:

We have to find the area of the circular bare spot

Given

Radius of bare spot = r = 8 inches

The formula for area of a circle is given by:

$Area=A = \pi r^2$

putting the value

$A = 3.14 * (8)^2\\= 3.14 * 64\\=200.96$

Rounding off to nearest foot

201 ft^2

Hence,

The area of the bare spot the gardener needs to replant is 201 square feet

Keywords: Area, radius

Learn more about area of circle at:

#LearnwithBrainly

7 0

2 years ago

In ΔDEF, d = 92 cm, e = 42 cm and ∠F=141°. Find the length of f, to the nearest centimeter.

tresset_1 [31]

Answer:

f=127 cm

Step-by-step explanation:

Law of Cosine:

x squared=92 squared+42 squared-2(92)(42)(cos 141)

x squared =8464+1764-7728(cos 141)

x=127 cm

5 0

2 years ago

According to a Pew Research survey, about 27% of American adults are pessimistic about the future of marriage and the family. Th

IgorLugansk [536]

Answer:

P(X≤5)=0.5357

Step-by-step explanation:

Using the binomial model, the probability that x adults from the sample, are pessimistic about the future is calculated as:

$P(x)=\frac{n!}{x!(n-x)!} *p^{x}*(1-p)^{n-x}$

Where n is the size of the sample and p is the probability that an adult is pessimistic about the future of marriage and family. So, replacing n by 20 and p by 0.27, we get:

$P(x)=\frac{20!}{x!(20-x)!}*0.27^{x}*(1-0.27)^{20-x}$

Now, 25% of 20 people is equal to 5 people, so the probability that, in a sample of 20 American adults, 25% or fewer of the people are pessimistic about the future of marriage and family is equal to calculated the probability that in the sample of 20 adults, 5 people of fewer are pessimistic about the future of marriage and family.

Then, that probability is calculated as:

P(X≤5)= P(1) + P(2) + P(3) + P(4) + P(5)

Where:

$P(0)=\frac{20!}{0!(20-0)!}*0.27^{0}*(1-0.27)^{20-0}=0.0018$

$P(1)=\frac{20!}{1!(20-1)!}*0.27^{1}*(1-0.27)^{20-1}=0.0137$

$P(2)=\frac{20!}{2!(20-2)!}*0.27^{2}*(1-0.27)^{20-2}=0.0480\\P(3)=\frac{20!}{3!(20-3)!}*0.27^{3}*(1-0.27)^{20-3}=0.1065\\P(4)=\frac{20!}{4!(20-4)!}*0.27^{4}*(1-0.27)^{20-4}=0.1675\\P(5)=\frac{20!}{5!(20-5)!}*0.27^{5}*(1-0.27)^{20-5}=0.1982$

Finally, P(X≤5) is equal to:

P(X≤5) = 0.0018+0.0137 + 0.0480 + 0.1065 + 0.1675 + 0.1982

P(X≤5) = 0.5357

3 0

1 year ago

The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as L = 10 lo

liubo4ka [24]

Answer: the answer is A

Brandon’s sound intensity is 1/4 the level of Ahmad’s mower

Step-by-step explanation:

6 0

1 year ago

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