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3 years ago

Leo paid $2400 in interest on an amount borrowed for 10 years at a 4% annual simple interest rate. How much did Leo borrow?

1 answer:

6 0

Answer: $6000

Explanation:

1) Simple interest means that the interests are calcualted over the original amount borrowed and they are the same every year.

2) yearly interest = interest / number of years = $2400 / 10 = $240

3) the yearly interest equals the amount borrowed times the simple intereset rate:

=> $240 = A * 4%

=> $240 = A * 0.04

=> A = $240 / 0.04 = $6000

You can do the same in one step:

interest = A * simple interest rate * number of years

=> A = interest / [simple interest rate * number of years] = $2400 / [4% * 10]

A = $2400 / (0.04 * 10) = $2400 / 0.4 = $ 6000.

And that is the answer: he borrowed $6000

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Question #3: Complete the statement below to show the correct value of 100%. Part A: The expression 100 3 = 10 because 100 = 102

BigorU [14]

Answer:

Step-by-step explanation:

Part A.

Expression $(100)^{\frac{1}{2}}$ = 10

Because 100 = $(10)^{2}$ and $[(10)^2]^{\frac{1}{2}}=10^1=10$

[Since, $(a^{2})^{\frac{1}{2}}=a^{2\times \frac{1}{2}}=a^1$ ]

Part B.

When simplified, the answer is RATIONAL.

[Since, 10 can be written as $\frac{10}{1}$ ]

6 0

3 years ago

You buy a new laptop for $300.

Y_Kistochka [10]

Answer:

$318

Step-by-step explanation:

since sales tax is 6%, multiply 300 by 1.06 to find the total cost

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3 years ago

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MaRussiya [10]

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6 0

3 years ago

Ben's age is currently twice of his sister, Emma. 8 years ago, Ben's age was 2 and a half times that of Emma's age at that time.

Yakvenalex [24]

Emma is now 24 years old then Ben would be 2E, or 48 years old.

<h3>What is a system of equations?</h3>

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Let B and E be Ben's and Emma's current ages, respectively.

We have given that;

Ben's age is currently twice of his sister, Emma.

B = 2E

and

8 years ago, Ben's age was 2 and a half times that of Emma's age

B-8 = 2.5(E-8)

We can substitute the value of B from the first equation into the last one

B-8 = 2.5(E-8)

(2E)-8 = 2.5(E-8)

2E-8 = 2.5E- 20

-0.5E = -12

E = 24

Thus, Emma is now 24 years old then Ben would be 2E, or 48 years old.

Learn more about equations here;

brainly.com/question/10413253

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8 0

2 years ago

Read 2 more answers

Joshua can purchase tile at one store for $0.99 per tile but he he will have to rent a tile saw for $25. At another store he can

Debora [2.8K]

Answer:

The number of tile for which the cost is same route to nearest tile is 49 .

Step-by-step explanation:

Given as :

The cost which Joshua will pay for tile at one store = $ 0.99 per tile + $ 25 for tile saw

The cost which Joshua will pay for tile at another store = $ 1.50 per tile only

Let The number of tile for which the cost is same route to nearest tile = n

So, According to question

$ 0.99 × number of tile + $ 25 = $ 1.50 × number of tile

or, $ 0.99 × n + $ 25 = $ 1.50 × n

or, $ 1.50 × n - $ 0.99 × n = $ 25

I.e 0.51 × n = $ 25

∴ n = $\frac{25}{0.51}$

I.e n = 49.01 ≈ 49

So, The number of tile for which the cost is same route to nearest tile = n = 49

Hence The number of tile for which the cost is same route to nearest tile is 49 . Answer

5 0

3 years ago