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olga2289 [7]
3 years ago
14

3. You purchase a car using a $20,000 loan with a 5% simple interest rate.

Mathematics
1 answer:
finlep [7]3 years ago
6 0
(a) 20,000 × 5/100 × 4 = $4000( interest)



(b) 20000 × 5/100 × 2 = $2000 (interest)


How much do you save = $4000 - $2000 = $2000

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Find the area of the surface. The part of the surface z = xy that lies within the cylinder x2 + y2 = 36.
rewona [7]

Answer:

Step-by-step explanation:

From the given information:

The domain D of integration in polar coordinates can be represented by:

D = {(r,θ)| 0 ≤ r ≤ 6, 0 ≤ θ ≤ 2π) &;

The partial derivates for z = xy can be expressed  as:

y =\dfrac{\partial z}{\partial x} , x = \dfrac{\partial z}{\partial y}

Thus, the area of the surface is as follows:

\iint_D \sqrt{(\dfrac{\partial z}{\partial x})^2+ (\dfrac{\partial z}{\partial y})^2 +1 }\ dA = \iint_D \sqrt{(y)^2+(x)^2+1 } \ dA

= \iint_D \sqrt{x^2 +y^2 +1 } \ dA

= \int^{2 \pi}_{0} \int^{6}_{0} \ r  \sqrt{r^2 +1 } \ dr \ d \theta

=2 \pi \int^{6}_{0} \ r  \sqrt{r^2 +1 } \ dr

= 2 \pi \begin {bmatrix} \dfrac{1}{3}(r^2 +1) ^{^\dfrac{3}{2}} \end {bmatrix}^6_0

= 2 \pi \times \dfrac{1}{3}  \Bigg [ (37)^{3/2} - 1 \Bigg]

= \dfrac{2 \pi}{3} \Bigg [37 \sqrt{37} -1 \Bigg ]

3 0
2 years ago
Find the unknown side (w) of the rectangular solid. Please help..
Nata [24]

Answer:

W= 2

Step-by-step explanation:

5 0
2 years ago
Number 3 please , thanks!
Doss [256]
The inequality would be 34 > 2 x 3, if I'm correct. I'm not to sure on the graph part though , sorry.
4 0
3 years ago
Solve the following literal equation for r in
grandymaker [24]
400 because I said so and u are asking me is here is the answer
8 0
2 years ago
A triangle has ∠A, ∠B, and ∠C.<br> ∠B is 20° more than ∠A.<br> ∠C is double ∠B.<br> How big is ∠A?
san4es73 [151]

Answer:

30°

Step-by-step explanation:

∠A + ∠B + ∠C = 180

∠B = ∠A + 20

∠C = 2 * ∠B

<A + (∠A + 20) + (2 * ∠B) = 180

<A + (∠A + 20) + (2 * (∠A + 20)) = 180

<A + (∠A + 20) + 2∠A + 40 = 180

4∠A + 60 = 180

4∠A = 120

∠A = 30

5 0
3 years ago
Read 2 more answers
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