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2 years ago

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Ralph is leasing a $32,000 car for 36 months. The terms of his lease include an 8.5% interest rate (money factor of 0.00354) and

a residual value of 72%. Determine Ralph's approximate monthly lease payment. a. $145.00 b. $230.40 $248.89 d. $443.73 C.

1 answer:

sesenic [268]2 years ago

6 0

Answer:

d. 443.73

Step-by-step explanation:

i got it right on the test

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What is the positive solution to 4x2 + 2x= 42? NEED HELP

VikaD [51]

Answer:

Step-by-step explanation:

first multiply 4 X 2= 8

8+2x=42

Now you are going to pass 8 to the other side by adding -

2x=42-8

2x=34

Now you are going to divide 34 between 2 to eliminate the 2 multiplying in the other side. 34 between 2= 17

X=17

Hope this helps :)

7 0

2 years ago

Use the Fundamental Theorem of Calculus to find the area of the region between the graph of the function x5 + 8x4 + 2x2 + 5x + 1

belka [17]

Answer:

The area of the region between the graph of the given function and the x-axis = 25,351 units²

Step-by-step explanation:

Given x⁵ + 8 x⁴ + 2 x² + 5 x + 15

If 'f' is a continuous on [a ,b] then the function

$F(x) = \int\limits^a_b {f(x)} \, dx$

By using integration formula

$\int{x^n} \, dx = \frac{x^{n+1} }{n+1} +c$

Given x⁵ + 8 x⁴ + 2 x² + 5 x + 15 in the interval [-6,6]

$\int\limits^6_^-6} (x^{5} + 8 x^{4} + 2 x^{2} + 5 x + 15) )dx$

<em>On integration , we get</em>

= $(\frac{x^{6} }{6} + \frac{8 x^{5} }{5} + 2 \frac{x^{3} }{3} +\frac{5 x^{2} }{2} + 15 x)^{6} _{-6}$

$F(x) = \int\limits^a_b {f(x)} \, dx = F(b) -F(a)$

= $(\frac{6^{6} }{6} + \frac{8 6^{5} }{5} + 2 \frac{6^{3} }{3} +\frac{5 6^{2} }{2} + 15X 6) - ((\frac{(-6)^{6} }{6} + \frac{8 (-6)^{5} }{5} + 2 \frac{(-6)^{3} }{3} +\frac{5 (-6)^{2} }{2} + 15 (-6))$

After simplification and cancellation we get

= $\frac{2 X 8 X (6)^{5} }{5} + \frac{2 X 2 X (6)^3}{3} + 2 X 15 X 6$

on calculation , we get

= $\frac{124,416}{5} + \frac{864}{3} + 180$

On L.C.M 15

= $\frac{124,416 X 3 + 864 X 5 + 180 X 15}{15}$

= 25 351.2 units²

<u><em>Conclusion</em></u>:-

<em>The area of the region between the graph of the given function and the x-axis = 25,351 units²</em>

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2 years ago

Map pours 3 2/3 cup of orange juice into measuring cup from a large container then he poured 1 1/4 cups back into the container

Alecsey [184]

Answer:

2 5/12 cups

Step-by-step explanation:

Map pours 3 2/3 cup of orange juice into measuring cup from a large container then he poured 1 1/4 cups back into the container

The amount of juice remaining in the measuring cup is calculated as:

3 2/3 - 1 1/4

= 3 - 1 + ( 2/3 - 1/4)

LCD = Lowest Common Denominator is 12

= 2 + (4 × 2 - 3 × 1/12)

= 2 + (8 - 3/12)

= 2 + 5/12

= 2 5/12 cups

Hence, the amount of juice remaining in the measuring cup = 2 5/12 cups of juice

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2 years ago

Factor the polynomial below. 6x3y3z 12x2y2z3

laiz [17]

<span>The answer is 6x^2y^2z(xy+2z^2).</span>

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2 years ago

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Darya [45]

Answer:

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2 years ago