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aalyn [17]
1 year ago
5

Glen received $2,250 loan from bank. After six months, he paid back $2,295 and closed the loan. Find the rate of interest

Mathematics
1 answer:
kumpel [21]1 year ago
8 0

Answer: 6.824%

Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.

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A cylinder is filled up with water to 3 4 its total capacity. The solid sphere is dropped completely into the cylinder. How high
Olenka [21]

Answer:

30.3 cm

Step-by-step explanation:

Suppose the height is h after the sphere is full submerged.

4/3\piR³ = \pir²(h-30) The volume of the sphere is equal to the volume

4/3\pi x(10/2)³=\pi × (14/2)²(h-30)  of the water surface rising

4/3 × 125 = 49 × (h-30)

h - 30 = 49 × 3/4 × 125

h - 30 = 0.3

h = 30 + 0.3

h = 30.3 cm

8 0
1 year ago
The following histogram represents the distribution of acceptance rates (percent accepted) among 25 business schools in 2004. In
Mila [183]

Answer:

  • <u><em>Option b. just below 30%</em></u>

<u><em></em></u>

Explanation:

Please, see attached the <em>histogram that represents the distribution of acceptance rates (percent accepted) among 25 business schools in 2004. </em>

<em />

The<em> median</em> is the value that separates the lower 50% from the upper 50% of the data.

Since there are 25 business schools, the middle value is the number 13.

The height of each bar is the<em> frequency</em> or number of business school for that acceptace rate:

  • The first bar has frequency of 1 school
  • The second bar has frequency of 3 schools: cummulative frequency: 1+3=4.
  • The third bar has frequency 5 schools: cummulative frequency 4 + 5 = 9.
  • The fourth bar has frequency 3 schools: cummulative frequency: 9+3=12.

Then, the 13th value is on the next bar, the fifth bar.

The fifth bar has acceptance rates 25  ≤ rate < 30.

That means that the median acceptance rate is greater than or equal to 25 and less than 30.

Thus, the choice is the option <em>b. just below 30%.</em>

3 0
1 year ago
You buy a pair of jeans at a department store. Jeans 39.99 Discount -10.00 Subtotal 29.99 Sales tax 1.95 Total 31.94 a. What is
Mariana [72]
A)

if 39.99 is the 100%, what is 10 in percentage? well

\bf \begin{array}{ccllll}&#10;amount&\%\\&#10;\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\&#10;39.99&100\\&#10;10&x&#10;\end{array}\implies \cfrac{39.99}{10}=\cfrac{100}{x}

solve for "x".

b)

now, with the discount, the amount is 29.99, thus if 29.99 is the 100%, what is 1.95 from it in percentage?

\bf \begin{array}{ccllll}&#10;amount&\%\\&#10;\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\&#10;29.99&100\\&#10;1.95&x&#10;\end{array}\implies \cfrac{29.99}{1.95}=\cfrac{100}{x}

solve for "x".

c)

the original price is 39.99, the markup on that is 60%, how much is that?
well 

\bf \begin{array}{ccllll}&#10;amount&\%\\&#10;\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\&#10;39.99&100\\&#10;x&60&#10;\end{array}\implies \cfrac{39.99}{x}=\cfrac{100}{60}\implies 39.99\cdot 60=100x&#10;\\\\\\&#10;\cfrac{39.99\cdot 60}{100}=x\implies 23.994=x

now, after the discount, the price is 29.99, how much is 23.994 in percentage of 29.99?

well  \bf \begin{array}{ccllll}&#10;amount&\%\\&#10;\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\&#10;29.99&100\\&#10;23.994&x&#10;\end{array}\implies \cfrac{29.99}{23.994}=\cfrac{100}{x}

solve for "x".
8 0
2 years ago
Hich expression is equivalent to -4(7 - 2m) + 11m?
Sholpan [36]

Answer:

- 4(7 - 2m) + 11m \\ =  - 28 + 8m + 11m \\ =   \boxed{19m - 28}

<em><u>Expression (19m-28) is equivalent to -4(7 - 2m) + 11m.</u></em>

3 0
1 year ago
A professional writer decides to judge the value of her laptop by the number of times she presses
shusha [124]

Answer:

D.)

15040000 <= k <=19840000

Step-by-step explanation:

V = 1200 -0.00002k

Value V after one year falls in the range of $803.20 and $899.20.

Let's substract these values from 1200.

1200-803.20=396.80

1200-899.20=300.80

So it means that

0.00002k= 396.80

And

0.00002k= 300.80

So

0.00002k= 396.80

K= 396.80/0.00002

K= 19840000

And

0.00002k= 300.80

K = 300.80/0.00002

K= 15040000

So range is between

15040000 <= k <=19840000

7 0
2 years ago
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