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lilavasa [31]
3 years ago
14

To help pay for art school, Keisha borrowed money from an online lending company.

Mathematics
1 answer:
maw [93]3 years ago
3 0

Answer:

  • payment: $413.93
  • total repaid: $74,507.40
  • interest: $22,507.40

Step-by-step explanation:

(a) The monthly payment A on principal P at monthly rate r for n months can be computed using ...

  A = Pr/(1 -(1+r)^-n)

For P=$52000, r = .051/12 = 0.00425, n = 12*15 = 180, the payment is ...

  A = $52000·0.00425/(1 -1.00425^-180) ≈ $413.93

(b) The total of 180 payments is ...

  180 · $413.93 = $74,507.40

(c) The difference from the principal is the interest paid:

  $74,507.40 -52,000 = $22,507.40

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The Brutus Gourmet Company produces delicious organic dog treats for canines with discriminating tastes. Management wants the bo
KiRa [710]

Answer:

Average range(R-bar) = Sum of the sample range for each sample/number of samples = (9+8+1+8+7) /5 = 33/5 = 6.6

Sample size = 8

For a sample size of 8 the factors for control limit for range (D3) = 0.136 (obtained from table of constraints for x-bar and R chart

LCL = R-bar × D3 = 6.6 × 0.136 = 0.90

Step-by-step explanation:

3 0
4 years ago
The difference between a number and 8 is 11
quester [9]

Answer:

The difference between 19 and 8 is 11.

Step-by-step explanation:

Given:

The difference between a number and 8 is 11

Find the number.

Solution:

Let the unknown number be =x

The difference between the unknown number can be written as:

x-8

We are given that the difference =11

So we can write the equation to find x as :

x-8=11

Using additive property to solve for x

Adding 8 to both sides to isolate x on one side.

x-8+8=11+8

∴ x=19

∴ The unknown number = 19

6 0
3 years ago
Read 2 more answers
1.The diameter of a circle is 20m. Find the circumference to the nearest tenth
Temka [501]

Answer:

62.8

Step-by-step explanation:

The formula for circumference is 2(pi)r

Let's plug in the values.

Well, we know the diameter, and since the radius is 1/2 the diameter, but then you multiply by 2 again, you don't have to change anything. Therefore, another formula is (pi)<em>d</em>

3.14 x 20

= 62.8 is your answer. And the answer is already rounded to the nearest tenth, so nothing is left to do!

<em>Hope this helps!</em>

3 0
3 years ago
) Set up a double integral for calculating the flux of F=3xi+yj+zk through the part of the surface z=−5x−2y+2 above the triangle
Fynjy0 [20]

The surface (call it S) is a triangle with vertices at the points

x=0,y=0\implies z=2\implies(0,0,2)

x=0,y=2\implies z=-2\implies(0,2,-2)

x=2,y=0\implies z=-8\implies(2,0,-8)

Parameterize S by

\vec s(u,v)=(1-v)(2,0,-8)+v\bigg((1-u)(0,2,-2)+u(0,0,2)\bigg)=(2-2v,2v-2uv,-8+6v+4uv)

with 0\le u\le1 and 0\le v\le1. Take the normal vector to S to be

\vec s_v\times\vec s_u=(20v,8v,4v)

Then the flux of \vec F across S is

\displaystyle\iint_S\vec F(x,y,z)\cdot\mathrm d\vec S=\int_0^1\int_0^1\vec F(x(u,v),y(u,v),z(u,v))\cdot(\vec s_v\times\vec s_u)\,\mathrm du\,\mathrm dv

=\displaystyle\int_0^1\int_0^1(6-6v,2v-2uv,-8+6v+4uv)\cdot(20v,8v,4v)\,\mathrm du\,\mathrm dv

=\displaystyle8\int_0^1\int_0^1(11v-10v^2)\,\mathrm du\,\mathrm dv=\boxed{\frac{52}3}

8 0
3 years ago
Y = -1/2x +4<br> x + 2y = -8
Flauer [41]

Answer:

Step-by-step explanation:

b

3 0
3 years ago
Read 2 more answers
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