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1 year ago

At what rate of simple interest will $2800 amount to $3500 in 2 years 3 months

Mathematics

1 answer:

777dan777 [17]1 year ago

7 0

Answer:

11.11% (nearest hundredth)

Step-by-step explanation:

Simple interest formula

A = P(1 + rt)

where:

A = final amount
P = principal
r = interest rate (in decimal form)
t = time (in years)

Given:

A = $3500
P = $2800
t = 2 years 3 months = 2.25 years

Substitute given values into the formula and solve for r:

⇒ 3500 = 2800(1 + 2.25r)

⇒ 3500 = 2800 + 6300r

⇒ 700 = 6300r

⇒ r = 1/9

Convert the interest rate into a percentage:

⇒ r × 100% = 1/9 × 100% = 11.11% (nearest hundredth)

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solve for each please i really need help if u want to help me with my test and i get an a or a b i will give u 500 dollars

Len [333]

Answer:

The relation is not a function

The domain is {1, 2, 3}

The range is {3, 4, 5}

Step-by-step explanation:

A relation of a set of ordered pairs x and y is a function if

Every x has only one value of y

x appears once in ordered pairs

Examples:

The relation {(1, 2), (-2, 3), (4, 5)} is a function because every x has only one value of y (x = 1 has y = 2, x = -2 has y = 3, x = 4 has y = 5)

The relation {(1, 2), (-2, 3), (1, 5)} is not a function because one x has two values of y (x = 1 has values of y = 2 and 5)

The domain is the set of values of x

The range is the set of values of y

Let us solve the question

∵ The relation = {(1, 3), (2, 3), (3, 4), (2, 5)}

∵ x = 1 has y = 3

∵ x = 2 has y = 3

∵ x = 3 has y = 4

∵ x = 2 has y = 5

→ One x appears twice in the ordered pairs

∵ x = 2 has y = 3 and 5

∴ The relation is not a function because one x has two values of y

∵ The domain is the set of values of x

∴ The domain = {1, 2, 3}

∵ The range is the set of values of y

∴ The range = {3, 4, 5}

3 0

2 years ago

Kevin Durant is trying to break the single

finlep [7]

Answer: 41 more games.

Step-by-step explanation:

4030-2595 to find out how many points he needs to score.

1435

If he averages 35 per game lets divide 1435 by 35 to get the answer of 41.

6 0

2 years ago

Read 2 more answers

Write the equation of the line through (3,9) and (-2,9)

strojnjashka [21]

Answer:

y = 9

Step-by-step explanation:

y-y1 = m(x-x1)

m is the slope =y2-y1/x2-x1=9-9/-2-3=0

pick any number out of the given two for (x1, x2)

y-9 = 0*(x-3) so

y-9 = 0 add 9 to both sides

y = 9

5 0

2 years ago

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting. It is

yan [13]

Answer:

No, there is not sufficient evidence to support the claim that the bags are underfilled

Step-by-step explanation:

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting.

This means that the null hypothesis is:

$H_{0}: \mu = 434$

It is believed that the machine is underfilling the bags.

This means that the alternate hypothesis is:

$H_{a}: \mu < 434$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

434 is tested at the null hypothesis:

This means that $\mu = 434$

A 9 bag sample had a mean of 431 grams with a variance of 144.

This means that $X = 431, n = 9, \sigma = \sqrt{144} = 12$

Value of the test-statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{431 - 434}{\frac{12}{\sqrt{9}}}$

$z = -0.75$

P-value of the test:

The pvalue of the test is the pvalue of z = -0.75, which is 0.2266

0.2266 > 0.01, which means that there is not sufficient evidence to support the claim that the bags are underfilled.

7 0

2 years ago

Helen purchased 3 copies of a book online at a 20% discount. She also paid $10 for shipping that was not discounted. How much wa

umka21 [38]

Answer:

The original price of the book was $12.50

Step-by-step explanation:

3x - 0.2(3x) + 10 = 40
30x - 2(3x) + 100 = 400
30x - 6x + 100 = 400
24x + 100 = 400
24x = 300
x = 12.50

3 0

1 year ago