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3 years ago

Y=5x-2x I need help solving this please!!

Mathematics

1 answer:

Trava [24]3 years ago

4 0

Y=3x (answer)
simplifying 5x+-2x
combining like terms 5x 2x

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Please check for me and if any are incorrect please explain!

Anika [276]

Answer: (1) 14.4% (2) 3.78% (3) $222.48 (4) 21,176.47

(5) $425 (6) 14.3 cents per mile

<u>Step-by-step explanation:</u>

1) This is a calculator question. I = 0.144 --> 14.4%

$A=P\bigg(1+\dfrac{r}{n}\bigg)^{nt}\\\\\bullet \text{A = Accrued amount (total amount paid)}\\\bullet \text{P = Principal (initial cost of the car)}\\\bullet \text{r = rate (interest rate in decimal form)}\\\bullet \text{n = number of times in a year (number of months)}\\\bullet \text{t = number of years}\\\\A = m \times nt\\\bullet \text{m = monthly payment amount}\\\bullet \text{nt = number of payments made}\\\implies m\times nt=P\bigg(1+\dfrac{r}{n}\bigg)^{nt}$

2) m = 93.33

nt = 36

P = 3000

n = 12

$m\times nt=P\bigg(1+\dfrac{r}{n}\bigg)^{nt}\\\\\\93.33\times 36=3000\bigg(1+\dfrac{r}{12}\bigg)^{36}\\\\\\3359.88=3000\bigg(1+\dfrac{r}{12}\bigg)^{36}\\\\\\1.11996=\bigg(1+\dfrac{r}{12}\bigg)^{36}\\\\\\1.00315198=1+\dfrac{r}{12}\\\\\\0.00315198=\dfrac{r}{12}\\\\\\0.0378=r\\\\\\\large\boxed{3.78\%}=r$

3) <em>same equation as #2 but deduct the down payment from the Principal</em>

nt = 42

P - d = 5,555 - 555 = 5,000

r = 18% --> 0.18

n = 12

$m\times nt=P\bigg(1+\dfrac{r}{n}\bigg)^{nt}\\\\\\m\times 42=(5,555-555)\bigg(1+\dfrac{.18}{12}\bigg)^{42}\\\\\\42m=5000(1.015)^{42}\\\\\\42m=5000(1.868847)\\\\\\42m=9344.23557\\\\\\m=\large\boxed{222.48}$

4) Gas + Oil = cost per mile × number of miles

1000 + 800 = 0.085x

1800 = 0.085x

$\large\boxed{21,176.47}=x$

5) $\text{Annual Depreciation}=\dfrac{\text{Cost of car - Trade-in value}}{\text{Years driven}}$

$.\qquad =\dfrac{3800-1250}{6}\\\\\\.\qquad =\dfrac{2550}{6}\\\\\\.\qquad = \large\boxed{425}$

6) $\dfrac{\text{(Cost of car - Market value) + Gas & Oil + Parts, Maintenance + Insurance}}{\text{Miles driven}}$

$=\dfrac{(5000-3800)+750+250+300}{17,500}\\\\\\=\dfrac{2500}{17,500}\\\\\\=0.142857\\\\=\large\boxed{14.3\ cents\ per\ mile}$

4 0

3 years ago

An unknown substance is provided in a science class. It consists of particles that are different

natulia [17]

Answer:

b a is the answer bea sue i don't know just looked it up

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Please help me i will give brainlyest to anyone who gets it correct!!!

Nonamiya [84]

Answer:

See below

Step-by-step explanation:

3x-429 + x/4 = 130 shows x = 172

QSN = 3x -429 = 87 degrees

HSX = 87 degrees

HSQ = 180 -87 = 93 degrees

XSN = x/4 = 43

PSN = 93 - 43 = 50

8 0

2 years ago

The length of a standard jewel case is 3 cm more than its width. The area of the rectangular top of the case is 304 cm squared.

valentina_108 [34]

Answer:

width = 16 cm

length = 19 cm

Step-by-step explanation:

Let the width be x cm.

Given that length is 3 cm more than width then

length = x+3 cm

area of rectangle = 304 square cm. -----1

area of rectangle is given by

area =length * width

substituting from equation 1 and length and width in terms of x we have

304 = x(x+3)

$=> 304 = x^2+3x\\\\=> 304 -304= x^2+3x -304\\=> 0= x^2+3x -304\\=> x^2+3x -304 = 0\\=> x^2+19x - 16x -304 = 0\\=> x(x+19 ) -16(x+19) = 0\\=> (x-16) (x+19 )= 0\\x-16 = 0 \ or \ x+19 = 0\\ x= 16 \or \ x = -19$

As length cannot be negative hence x = 16

Thus width = x = 16 cm

length = x+3 = 16+3 = 19 cm

6 0

4 years ago

Mr Prothero places £3003 into a

mamaluj [8]

Answer:

£3,543.54

Step-by-step explanation:

Amount after 2 years = Principal + interest

Get the interest

Interest = PRT/100

Interest = 3003 * 9 * 2/100

Interest = 3003 * 18/100

Interest = 30.03 * 18

Interest = 540.54

Amount after 2 years = 3003 + 540.54

Amount after 2 years = £3,543.54

6 0

3 years ago