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Andrei [34K]
3 years ago
12

Find the slope of the line that passes through the points (-2, 4) and (-5, -6).

Mathematics
1 answer:
zaharov [31]3 years ago
6 0

Answer:

10/3

Step-by-step explanation:

Slope = (y2 - y1)/(x2 - x1)

= (4 + 6)/(-2 + 5)

= 10/3

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11. Mr Lee bought a second hand car for
Marrrta [24]

Answer :

Depends on the rate compound interest is accrued. See answers.

Step-by-step explanation:

We need the compound interest formula which is:

A = P (1+\frac{r}{n} )^{nt}

A =  final amount

P =  initial principal balance

r =  interest rate

n =  number of times interest applied per time period

t =  number of time periods elapsed

It doesn't say how frequently the interest is compounded, so we will do monthly, quarterly, and yearly.

MONTHLY

So we know the car costs $25,480 and he made a down payment of $10,000. By subtracting the down payment from the purchase price we find the loan amount.

$25,480 - $10,000 = $15,480

P = 15,480

r = 4.75% = .0475

n = 12  (12 months in a year)

t = 2  

Plug everything into the compound interest formula.

A = P (1+\frac{r}{n} )^{nt}

A = 15480(1+\frac{.0475}{12})^{12*2}

A = 15480(1+\frac{.0475}{12})^{24}

A = 15480(1+.00396)^{24}

A = 15480(1.00396)^{24}

A = 15480*1.0992

A = $17016.14

Mr. Lee paid $17,016.14 when the bill came due at 2 years with interest compounded monthly.

QUARTERLY

P = 15,480

r = 4.75% = .0475

n = 4  (4 quarters in a year)

t = 2  

A = P (1+\frac{r}{n} )^{nt}

A = 15480(1+\frac{.0475}{4})^{4*2}

A = 15480(1+\frac{.0475}{4})^{8}

A = 15480(1+.0119})^{8}

A = 15480(1.0119)^{8}

A = 15480*1.099

A = 15480(1.099)

A = 17013.20

Mr. Lee paid $17,013.20 when the bill came due at 2 years with interest compounded quarterly.

YEARLY

P = 15,480

r = 4.75% = .0475

n = 1  

t = 2  

A = P (1+\frac{r}{n} )^{nt}

A = 15480(1+\frac{.0475}{1})^{1*2}

A = 15480(1+\frac{.0475}{12})^{2}

A = 15480(1+.0475})^{2}

A = 15480(1.0475)^{2}

A = 15480*1.0973

A = 16985.53

Mr. Lee paid $16,985.53  when the bill came due at 2 years with interest compounded yearly.

4 0
3 years ago
Select the correct answer.
densk [106]

Answer:

Should be A

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Which is the graph of f(x) = 1 (4)X?<br> ity
KIM [24]

Answer:

Its a quadratic function

Step-by-step explanation:The formula concludes to a quadratic function.

5 0
3 years ago
If ED = x + 4 and DB = 3x - 8, find ED, DB, and EB
Tom [10]

Answer:

Part 1) ED=10\ units

Part 2) DB=10\ units

Part 3) EB=20\ units

Step-by-step explanation:

we know that

EB=ED+DB

ED=DB -----> given problem

Substitute the given values and solve for x

x+4=3x-8

3x-x=4+8

2x=12

x=6

<em>Find the value of ED</em>

ED=x+4

substitute the value of x

ED=6+4=10\ units

<em>Find the value of DB</em>

Remember that

ED=DB

therefore

DB=10\ units

<em>Find the value of EB</em>

EB=ED+DB

EB=10+10=20\ units

5 0
3 years ago
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The sum of the BLANK of the plane figure is called the perimeter 
maks197457 [2]
Sides, or lengths and widths
4 0
3 years ago
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