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Lisa [10]
2 years ago
7

Sarah took out a $30,000 loan for 11 years at a 4.7% interest rate to put a new pool in her backyard. If

Mathematics
1 answer:
MissTica2 years ago
7 0

The amount of the loan after 11 years is $34,113.53 and the intereest earned is $4,113.53

<h3>How to calculate the compound interest</h3>

The formula for calculating the exponential function is expressed as:

A =P(1+\frac{r}{n} )^t

Given the following

  • P = 30,000
  • r = 0.047
  • t = 11 years
  • n = 4

Substitute into the formula to have:

A=30000(1+\frac{0.047}{4} )^{11}\\A =30000(1.13711)\\A =\$34,113.53

Hence the amount of the loan after 11 years is $34,113.53

<h3>Find the interest earned</h3>

Interest = A - P

Interest = 34,113.53 - 30000

Interest = 4,113.53

Hence the intereest earned is $4,113.53

Learn more on compound interest here: brainly.com/question/24924853

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10. MJ and Peter Parker leave school traveling in opposite
Paladinen [302]

Using proportions, it is found that:

  • Peter is walking at a rate of 3 km/h.
  • MJ is biking at a rate of 9 km/h.

---------------------------

  • Peter is walking at a rate of x km/h.
  • MJ is biking 6 km/h faster than Peter, thus 6 + x km/h.
  • Opposite directions, thus, their distance increases at a rate of (6 + 2x) km each hour, as 6 + x + x = 6 + 2x.

6 + 2x km each hour, 18 km after 1.5 hours, thus, the rule of three is:

1h - (6 + 2x) km

1.5h - 18 km

Applying cross multiplication:

1.5(6 + 2x) = 18

9 + 3x = 18

3x = 9

x = \frac{9}{3}

x = 3

x + 6 = 3 + 6 = 9

Then:

  • Peter is walking at a rate of 3 km/h.
  • MJ is biking at a rate of 9 km/h.

A similar problem is given at brainly.com/question/24112433

6 0
2 years ago
What is the domain and range of the function f(x) = x^2 -4x-5?
Tems11 [23]
F(x) = x²-4x-5, quadratic function,  
Domain (the values if x) is all real numbers.

To find range we should draw a graph or to write an equation in vertex form.
f(x) = x²-4x+4-4-5
f(x) = (x-2)²-9
Point (-2,-9) is the vertex of the parabola, and it is a minimum because a parabola has positive sign in front of x², so it is looking up.  Minimum value of y =-9
Range(the values of y) is [-9, ∞)


5 0
3 years ago
How many planes can two distinct lines have in common?
saw5 [17]
Three planes a distinct lines have in common

3 0
3 years ago
Read 2 more answers
413×6<br> Please help meh in full work please
tatuchka [14]

Answer:

413x6=345467

Step-by-step explanation:

6 0
3 years ago
Patty has just completed her second semester in college. She earned a grade of B in her 4​-hour topology ​course, a grade of D i
umka21 [38]

Answer: 1.4

Step-by-step explanation:

To calculate the grade point average you have to sum all the points of each course multiplying the hours and then diveded by the total number of hours she did.

She earned a grade B in her 4 hour topology course, so she has 3*4 points.

In her 11 hour gouvernment course, she earned a grade D, so she has 1*11 points. In the 2 hour biology course she earned a grade D, so she has 1*2 points and in her 3 hours studio art course she had also a grade D, so she has 1*3 points

She has done 3+2+11+4 hours of subjects=20.

The total average is (3*4+1*11+1*2+1*3)/20=28/20=1.4

8 0
3 years ago
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