Andy is done with part of a construction, as shown below.

David bought a used Dodge Challenger for $14,000. The value of the car depreciates 11% per year from the time he bought the car.

statuscvo [17]

Answer:

V(t) = 14,000(0.89)^t

Step-by-step explanation:

Present value of the Dodge Challenger = $14,000

Present percentage value = 100%

Depreciation value = 11%

Number of years = t

Future value = V(t)

V(t) = Present value of the Dodge Challenger(Present percentage value - Depreciation value)^t

= 14,000(100% - 11%)^t

= 14,000(89%)^t

= 14,000(0.89)^t

V(t) = 14,000(0.89)^t

7 0

3 years ago

Parallelogram FGHJ was dilated and translated to form

Mrrafil [7]

Answer: The required scale factor of the dilation is 4.

Step-by-step explanation: Given that the parallelogram FGHJ was dilated and translated to form similar parallelogram F'G'H'J'.

We are to find the scale factor of the dilation.

From the graph, we note that

JH = 2 units and J'H' = 8 units.

We know that

$\textup{Scale factor of dilation}=\dfrac{\textup{length of a side of the dilated figure}}{\textup{length of the correponding side of the original figure}}.$

Therefore, the scale factor of the given dilation is

$S=\dfrac{J'H'}{JH}\\\\\\\Rightarrow S=\dfrac{8}{2}\\\\\Rightarrow S=4.$

Thus, the required scale factor of the dilation is 4.

3 0

4 years ago

Read 2 more answers

mark's soup recipe makes 6 servings and uses 4 carrots and 2 potatoes. How many carrots and potatoes does he need for 15 serving

VLD [36.1K]

Let’s see, for 6 servings he needed 4 carrots, meaning every carrot was equal to 1.5 servings. 15/1.5 is 10, 10 carrots for 15 servings.

7 0

3 years ago

Three friends share a pizza.one eighth falls on the fall and is thrown away.the remainder is shared equally..what fraction of th

maria [59]

If one eighth of the pizza falls, that leaves seven eights of the pizza to be shared:

$1\ (whole\ pizza) -\frac{1}{8}=\frac{7}{8}$

If the 7/8 pizza is shared between three people, then you have to divide 7/8 by 3. We know that dividing a fraction by 3 is the same as multiplying by 1/3:

$\frac{7}{8} \div 3\\\\\frac{7}{8}*\frac{1}{3}\\\\\frac{7*1}{8*3}\\\\frac{7}{24}$

Therefore, each person gets 7/24 of the whole pizza.

3 0

3 years ago

I'd really appreciate some help on these questions, I'm really struggling

nikklg [1K]

We can use linear combinations of the equations to eliminate variables.

3x - 4y = 1
-2x + 3y = 1

To eliminate y we'll make the linear combination of 3 times the first equation minus four times the second.

9x - 12y = 3
-8x + 12y = 4

Adding,
x = 7

We could solve for y directly but let's use another linear combination, twice the first plus three times the second:

2(3x - 4y) + 3(-2x + 3y)= 2(1)+3(1)

y = 5

Check: 3(7)-4(5)=1 good. -2(7)+3(5)=1 good.

Q18 Answer: (7,5)

y = -3x + 5
5x - 4y = -3

4y +1(5x - 4y) = 4(-3x + 5) + 1(-3)

5x = -12x + 20 -3

17 x = 17

x = 1
y = -3(1) + 5 = 2
Check: 5(1) - 4(2) = -3 good

Q19 Answer (1,2)

6x + 5y = 25
x = 2y + 24
6x = 12y + 144
5y = 25 - 12y - 144
17y = -119
y = -119/17= -7
x = 2y+24= 10
Check: 6(10)+5(-7)=25 good 2y+24=2(-7)+24=10=x good

Q20 Answer (10,-7)

3x + y = 18
-7x + 3y = -10
9x + 3y = 54
9x - -7x = 54 - -10
16x = 64
x=4
y = 18 -3x = 18-12=6

Check: 3(4)+6=18 good, -7(4)+3(6)=-10 good

Q21 Answer: (4,6)

6 0

3 years ago