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mamaluj [8]
3 years ago
10

a new car is sold for its sticker value of $19,000.Three years later, the customer returns to the car dealership to trade the ca

r in.She is told that her car now has a value of $12,105. What is the rate of decline in the value of the car?
Mathematics
2 answers:
seraphim [82]3 years ago
3 0
2,333$ a year that is the anser
andrew-mc [135]3 years ago
3 0
Doing the math, the answer is $2,333.
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Evaluate the integral. 3 2 t3i t t − 2 j t sin(πt)k dt
sveta [45]

∫(t = 2 to 3) t^3 dt

= (1/4)t^4 {for t = 2 to 3}

= 65/4.

----

∫(t = 2 to 3) t √(t - 2) dt

= ∫(u = 0 to 1) (u + 2) √u du, letting u = t - 2

= ∫(u = 0 to 1) (u^(3/2) + 2u^(1/2)) du

= [(2/5) u^(5/2) + (4/3) u^(3/2)] {for u = 0 to 1}

= 26/15.

----

For the k-entry, use integration by parts with

u = t, dv = sin(πt) dt

du = 1 dt, v = (-1/π) cos(πt).


So, ∫(t = 2 to 3) t sin(πt) dt

= (-1/π) t cos(πt) {for t = 2 to 3} - ∫(t = 2 to 3) (-1/π) cos(πt) dt

= (-1/π) (3 * -1 - 2 * 1) + [(1/π^2) sin(πt) {for t = 2 to 3}]

= 5/π + 0

= 5/π.

Therefore,

∫(t = 2 to 3) <t^3, t√(t - 2), t sin(πt)> dt = <65/4, 26/15, 5/π>.

3 0
3 years ago
Leona answered all the questions on a test. She had 90% of them correct. There were 40 questions in all. How many did she have c
KengaRu [80]

Answer:

The answer is 36

Step-by-step explanation:

Let the number be <em>x</em>

x/40 is her mark

she got 90% mark correct

x/40 x 100 = 90

by cancellation we get 9 x 4 = 36

HOPE THIS HELPS

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3 years ago
What is 3/4 gallon in quarts?
Basile [38]

Answer:

3 quarts = 3/4 gallon

Step-by-step explanation:


5 0
3 years ago
If the smallest angle of rotation for a regular polygon is 18°, how many sides does polygon have?
nlexa [21]

Answer:

10 sure️️️️️️️️ show to your teacher which class do you raed?

5 0
3 years ago
Read 3 more answers
1/4(x-2) = 10 NEED DONE ASAP
kari74 [83]

Answer:

x = 42

Step-by-step explanation:

Step  1  :

           1

Simplify   —

           4

Equation at the end of step  1  :

  1              

 (— • (x - 2)) -  10  = 0

  4              

Step  2  :

Equation at the end of step  2  :

 (x - 2)    

 ——————— -  10  = 0

    4      

Step  3  :

Rewriting the whole as an Equivalent Fraction :

3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  4  as the denominator :

         10     10 • 4

   10 =  ——  =  ——————

         1        4  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(x-2) - (10 • 4)     x - 42

————————————————  =  ——————

       4               4  

Equation at the end of step  3  :

 x - 42

 ——————  = 0

   4  

Step  4  :

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator,  multiplys both sides of the equation by the denominator.

Here's how:

 x-42

 ———— • 4 = 0 • 4

  4  

Now, on the left hand side, the  4  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  x-42  = 0

Solving a Single Variable Equation :

4.2      Solve  :    x-42 = 0

Add  42  to both sides of the equation :

                     x = 42

One solution was found :

                  x = 42

Processing ends successfully

plz mark me as brainliest :)

3 0
3 years ago
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