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Dmitriy789 [7]
2 years ago
7

1. Elissa is buying a new car. She has an excellent credit score of

Mathematics
1 answer:
k0ka [10]2 years ago
7 0

Answer:

$273.38 per month

Step-by-step explanation:

<u>Monthly Payment Formula</u>

\sf PMT=\dfrac{Pi(1+i)^n}{(1+i)^n-1}

where:

  • PMT = monthly payment
  • P = loan amount
  • i = interest rate per month (in decimal form)
  • n = term of the loan (in months)

Given:

  • P = $19,500 - $4,000 = $15,500
  • i = 2.25% / 12 = 0.0225 / 12
  • n = 5 years = 60 months

\implies \sf PMT=\dfrac{15500 (\frac{0.0225}{12})(1+\frac{0.0225}{12})^{60}}{(1+\frac{0.0225}{12})^{60}-1}

\implies \sf PMT=273.3788438

\implies \sf PMT=\$273.38

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Write a quadratic function for each graph described.
user100 [1]

Answer:

y=2x^2-\frac{4}{3}x-\frac{10}{3}

Step-by-step explanation:

we know that

The roots of the quadratic function (x-intercepts) are

x=-1 and x=5/3

so

we can write the equation of the parabola as

y=a(x+1)(x-\frac{5}{3})

where

a is a coefficient

Remember that

The parabola pass through the point (5,40)

substitute the value of x and the value of y of the ordered pair in the quadratic equation and solve for a

x=5, y=40

40=a(5+1)(5-\frac{5}{3})

40=a(6)(\frac{10}{3})

40=20a\\a=2

substitute

y=2(x+1)(x-\frac{5}{3})

apply distributive property

y=2(x^2-\frac{5}{3}x+x-\frac{5}{3})\\\\y=2(x^2-\frac{2}{3}x-\frac{5}{3})\\\\y=2x^2-\frac{4}{3}x-\frac{10}{3}

see the attached figure to better understand the problem

6 0
3 years ago
Nelson needs 3 and 3/4 cups of flour to make a loaf of bread and 2 and 2/3 cups of flour to make pretzels. How many cups of flou
matrenka [14]

Answer:

that is 6 and 5/ 12 cups of flour are required

Step-by-step explanation:

total number of cups required to make a loaf of bread

= 3 + ¾

making their denominators equal and that to 4

= 12/ 4 + 3/ 4

adding numerators

= (12 + 3)/ 4

= 15/ 4

total cups of flour required to make pretzels

= 2 + ⅔

making their denominators equal and that to 3

= 6/ 3 + 2/ 3

adding nunerators

= (6 + 2)/ 3

= 8/ 3

Total cups required:-

= 15/ 4 + 8/ 3

taking lcm of denominators to make the fractions equivalent

= {(15 × 3) + (8 × 4)}/ 12

= {45 + 32}/ 12

= 77/ 12

6 \frac{5}{ 12}

<em>that is 6 and 5/ 12 cups of flour are required</em>.

4 0
3 years ago
Read 2 more answers
6) find HJ<br> 8)find IK
Anastasy [175]

Answer:

HJ = 17

IK = 30

Step-by-step explanation:

to find HI :

GH : 2

HI : ?

IJ : 12

GI : 7

HI = GI - GH

HI = 7- 2

HI = 5

HI + IJ = HJ

5 + 12 = HJ

17 = HJ

To find IK

IJ = ?

JK = 12

KL = ?

IL = 49

JL = 31

To find IK we need to find KL and IJ

KL = JL - JK

KL = 31 - 12

KL = 19

IJ = IL - (JK + KL)

IJ = 49 - 31

IJ = 18

IK = IJ + JK

IK = 18 + 12

IK = 30

4 0
3 years ago
NEED HELP WITH A MATH QUESTION
gogolik [260]

Answer:

(-3,-4)

Step-by-step explanation:

You draw it...

         So since we are reflecting across the x-axis, we want the x-coordinate to stay the same.  We just need to take the opposite of y.

Ans. (-3,-4)

4 0
3 years ago
Read 2 more answers
What function is shown in the graph below?
pochemuha

Answer:

C. y = log 1/6 x

Step-by-step explanation:

im literally on this right now on edge lol

6 0
3 years ago
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