Find the rectangular coordinates of the point (-3,1/2pi)

Neporo4naja [7]

The answer is (0,2).

6 0

2 years ago

You purchase a car worth $25077 and make a down payment of $3560. You intend to repay the balance of the car with month end car

zubka84 [21]

Answer:

value of buyout is $4185.74

Step-by-step explanation:

given data

car worth = $25077

down payment = $3560

monthly payment = $336 = 336 × 6 = $2016 per semi annually

time = 5 year = 10 half yearly

rate = 4.04 %

to find out

value of final buyout

solution

we know here loan amount will be 25077 - 3560 = $21517

and we find present value first by formula that is

present value = $\frac{amount(1+r)^t - 1}{r (1+r)^t}$

put here t = 10 and r = $\frac{4.04}{200}$

so

present value = $\frac{2016(1+\frac{4.04}{200})^10 - 1}{r (1+\frac{4.04}{200})^10}$

present value = 18089.96

so

loan unpaid amount is here

loan unpaid amount = 21517 - 18089.96

loan unpaid amount = $3427.04

so

now we calculate value of buyout

that is express as

amount = principal × $(1+r)^{t}$

amount = 3427.04 × $(1+\frac{4.04}{200})^{10}$

amount = 4185.74

so value of buyout is $4185.74

7 0

3 years ago

Simplify these expressions

Xelga [282]

$\frac{10a}{2} \\ \\ 5a \\ \\$

The answer is: 5a

-----------

$\frac{36b}{6b} \\ \\ \frac{36}{6} \\ \\ 6 \\ \\$

The answer is: 6

------------

$\frac{16c^2}{8c} \\ \\ 2c^{2-1} \\ \\ 2c^1 \\ \\ 2c \\ \\$

The answer is: 2c

------------

$\frac{18ab^2}{2b} \\ \\ 9ab^{2-1} \\ \\ 9ab^1 \\ \\ 9ab \\ \\$

The answer is: 9ab

------------

$\frac{40b^2c^2}{5bc} \\ \\ 8b^{2-1} c^{2-1} \\ \\ 8b^1c^1 \\ \\ 8bc^1 \\ \\ 8bc \\ \\$

The answer is: 8bc

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$\frac{63ab^2c^3}{7b^2c^2} \\ \\ \frac{63ac^3}{7c^2} \\ \\ 9ac^{3-2} \\ \\ 9ac^1 \\ \\ 9ac \\ \\$

The answer is: 9ac

6 0

3 years ago

What is the factored form of 15x - 6

alexandr402 [8]

Answer:

3(5x - 2)

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Paul went on a bike ride of 30 miles. He realized that if he had gone 8 mph faster, he would have arrived 12 hours sooner. How f

lara [203]

Answer: He actually rode 2 miles per hour on his trip

Step-by-step explanation: Maybe unconventional, but express the time it took, then figure the speed.

Time = distance /speed t will represent time, s is the speed: t = 30/s Use the rime it would have taken at the higher speed to create an equation:

t-12 = 30/s+8 replace the y with the 30/s

30/s -12 = 30/s+8

(s)(30/s -12 ) = (s)(30/s+8 ) Cross multiply to cancel denominators

(s-8)(30 -12s) = (s-8)(30s/s+8 ) ==> 30s +240 -12s² -96s =30s Simplify:

(-1)(-12s² -96s +240 ) =0 ==> 12s² +96s -240 divide all by 12

s² + 8s -20 = 0 Factor and solve for s

(s +10)(s -2) =0 s-2=0 S= 2

Proof:

30/2 = 15 hours for original trip at 2mph,

increase speed by 8mph 2 + 8 = 10mph

30 miles at 10mph takes 3 hours; that is 12 hours less than his actual trip.

(Brainilest, please :-)

4 0

3 years ago