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klio [65]
2 years ago
13

1. Lisa and Tomas Lopez are buying a new minivan that has a base

Mathematics
1 answer:
Dimas [21]2 years ago
4 0

The question is incomplete:

Lisa and Tomas Lopez are buying a new minivan that has a base price of $22,510.the options total $8,062 and destination charge is $770. The dealer's cost is estimated to be 91% of the base price and 88% of the options.

-What is the sticker price of the vehicle?

-Find the dealer's percent of the base price.

-Find the dealer's percent of the options price.

-What is the estimated dealer's cost?

Answer:

-What is the sticker price of the vehicle? $31,342

-Find the dealer's percent of the base price: $20,484

-Find the dealer's percent of the options price: $7,094

-What is the estimated dealer's cost?  $28,348

Step-by-step explanation:

-The sticker price is the result of adding the base price plus the options plus the destination charge.

Sticker price= base price + options + destination charge

Sticker price= $22,510+$8,062+$770

Sticker price= $31,342

-Dealer's percent of the base price: It is  91% of the base price:

$22,510*91%= $20,484

-Dealer's percent of the options price: It is  88% of the options:

$8,062*88%= $7,094

-Estimated dealer's cost= Percent of base price+percent of options price+destination charge

Estimated dealer's cost= $20,484+$7,094+$770

Estimated dealer's cost=$28,348

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The perimeter of a rectangle is 202. The length is 26 more than 4 times the width. Find the dimensions
jek_recluse [69]

Answer:

P = 2*(26+4y) + 4y

And if we solve for y we got:

202= 52 +8y +4y

202= 52 +12 y

And replacing we got:

150 = 12y

And we got:

y = \frac{150}{12}= 12.5

And for x we got:

x = 26 +4*12.5 = 76

So then the length would be 76 and the width we got 12.5

Step-by-step explanation:

For this case we have a rectangle. The perimeter is given by:

P= 2x+2y

Where x represent the length and y the the width. We can set the following conditions:

x = 26 +4y

And if we replace the conditions we got:

P = 2*(26+4y) + 4y

And if we solve for y we got:

202= 52 +8y +4y

202= 52 +12 y

And replacing we got:

150 = 12y

And we got:

y = \frac{150}{12}= 12.5

And for x we got:

x = 26 +4*12.5 = 76

So then the length would be 76 and the width we got 12.5

6 0
2 years ago
The indicated function y1(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section
LUCKY_DIMON [66]

Answer:

y2 = C1xe^(4x)

Step-by-step explanation:

Given that y1 = e^(4x) is a solution to the differential equation

y'' - 8y' + 16y = 0

We want to find the second solution y2 of the equation using the method of reduction of order.

Let

y2 = uy1

Because y2 is a solution to the differential equation, it satisfies

y2'' - 8y2' + 16y2 = 0

y2 = ue^(4x)

y2' = u'e^(4x) + 4ue^(4x)

y2'' = u''e^(4x) + 4u'e^(4x) + 4u'e^(4x) + 16ue^(4x)

= u''e^(4x) + 8u'e^(4x) + 16ue^(4x)

Using these,

y2'' - 8y2' + 16y2 =

[u''e^(4x) + 8u'e^(4x) + 16ue^(4x)] - 8[u'e^(4x) + 4ue^(4x)] + 16ue^(4x) = 0

u''e^(4x) = 0

Let w = u', then w' = u''

w'e^(4x) = 0

w' = 0

Integrating this, we have

w = C1

But w = u'

u' = C1

Integrating again, we have

u = C1x

But y2 = ue^(4x)

y2 = C1xe^(4x)

And this is the second solution

5 0
2 years ago
For what value of x is the equation 22x + 7 = 215 true?
PIT_PIT [208]

Answer:

x = 9 5/11

Step-by-step explanation:

22x + 7 = 215

22x = 215-7

22x = 208

x = 208/22

x = 9 5/11

8 0
2 years ago
Read 2 more answers
A lab requires 38g of sodium bicarbonate. One box of sodium bicarbonate contains 454 g. How many boxes will the teacher require
lilavasa [31]

Answer:

2 boxes

Step-by-step explanation:

6 0
1 year ago
Read 2 more answers
A flea treatment last 4 weeks. Jim's dog had to be treated every 3 weeks. How many weeks of flea treatment would Jim's dog get i
Reptile [31]

Answer:

Number of weeks in a year = 52 weeks

If in a normal year when each package of flea treatment lasts for 4 weeks, then in a year there Jim's dog will have to be treated for

Where as, when the fleas are bad in a year, the treatment lasts for only 3 weeks.

Then in a year Jim's dog would get

So Jim's dog will get 17- 13 =4 treatments more.

4 treatments that are made in 3 weeks each will be 4×3 =12 weeks more treatment

6 0
2 years ago
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