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True [87]
2 years ago
12

Pablo borrowed $50,000 to start a business. Three years later, he repaid the $50,000 along with an interest of $9,375. What was

the annual interest rate? Round your answer to two decimal places.
Mathematics
2 answers:
givi [52]2 years ago
6 0

Answer:

6.25%

Step-by-step explanation:

weeeeeb [17]2 years ago
5 0

Answer:

The annual interest rate is 5.89%.

Step-by-step explanation:

Principal =  $50,000

Interest = $9,375

Amount = Principal +interest

Amount = $50,000+$9,375

Amount = $59375

Time = 3 years

We are supposed to find the rate of interest

Formula : A=P(1+r)^t

59375=50000(1+r)^3

\frac{59375}{50000}=(1+r)^3

1.1875=(1+r)^3

\sqrt[3]{1.1875}=(1+r)

1.0589=(1+r)

1.0589-1=r

0.0589=r

0.0589 \times 100=r

5.89\%=r

Hence The annual interest rate is 5.89%.

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3 years ago
Do a two column proof! <br> Given: AB = DC <br> Prove: AC = DB <br> please help!!!!!!!
scoundrel [369]

Answer:

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Step-by-step explanation:

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6 0
2 years ago
What is the difference between a linear equation and a quadratic equation?(in 7 sentences)
Kaylis [27]
A linear equation in two variables doesn't involve any power higher than one for either variable. It has the general form Ax + By + C = 0, where A, B and C are constants. It's possible to simplify this to y = mx + b, where m = ( −A / B) and b is the value of y when x = 0. A quadratic equation, on the other hand, involves one of the variables raised to the second power. It has the general form y = ax2 + bx + c. Apart from the adding complexity of solving a quadratic equation compared to a linear one, the two equations produce different types of graphs.
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Read 2 more answers
The volume of a rectangular prism is b3 + 8b2 + 19b + 12 cubic units, and its height is b + 3 units. The area of the base of the
omeli [17]
Given:

The volume of the rectangular prism is 

b^{3}+8 b^{2} +19b+12,

the height is h=(b+3)

1. The volume of a rectangular prism is (base area)*height

also, notice that the volume is a third degree polynomial, the height is a 1st degree polynomial, so the base area must be a 2nd degree polynomial, whose coefficients we don't know yet.
Let this quadratic polynomial be (mb^{2}+nb+k)

 
2

b^{3}+8 b^{2} +19b+12=(mb^{2}+nb+k)*(b+3)


notice that  b^{3} is the product of the largest 2 terms: mb^{2} and b, so m must be 1

also, notice that 12 is the product of the constants, k and 3

so k*3=12, this means k=4

3
we write the above equality again:

b^{3}+8 b^{2} +19b+12=(b^{2}+nb+4)*(b+3)


(b^{2}+nb+4)(b+3)= b^{3}+3 b^{2} +nb^{2}+3nb+4b+12

== b^{3}+(n+3)b^{2}+(3n+4)b+12


4
now compare the coefficient with the left side:

8 b^{2}=(n+3)b^{2}

8=n+3

n=5


substituting n=5: 

the base area is b^{2}+5b+4

Answer: b^{2}+5b+4


3 0
2 years ago
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