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2 years ago

Combine the like terms in the expression:

Mathematics

1 answer:

Tamiku [17]2 years ago

5 0

Answer:

20c²+3p

Step-by-step explanation:

9c² +8p+11c² - 5p

9c² + 11c² +8p - 5p

20c²+3p

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I REALLY NEED HELP ASAP WITH THESE 2 QUESTIONS!!!!!!!!!

DIA [1.3K]

Answer:

4. Meena- 3

Jerry- 6

5a. 5

5b. 6

Step-by-step explanation:

We can use the distance formula to solve all of these.

$\sqrt{(x_{2} } -x_{1} )^2+(y_{2} -y_{1} )^2$

Plug the numbers in and make sure you understand how i got these answers :) Let me know if you see anything wrong about it, and i will try and fix it.

5 0

3 years ago

3.3.31

NemiM [27]

Answer:

6 and 2

Step-by-step explanation:

let the 2 numbers be x and y with x > y, then

x + y = 8 → (1)

5x + 4y = 38 → (2)

Rearrange (1) expressing x in terms of y by subtracting y from both sides

x = 8 - y → (3)

Substitute x = 8 - y into (2)

5(8 - y) + 4y = 38 ← distribute and simplify left side

40 - 5y + 4y = 38

40 - y = 38 ( subtract 40 from both sides )

- y = - 2 ( multiply both sides by - 1 )

y = 2

Substitute y = 2 into (3) for corresponding value of x

x = 8 - 2 = 6

The larger number is 6 and the smaller number is 2

6 0

4 years ago

Read 2 more answers

5.Richard Miyashiro purchased a condominium and obtained a 30-year loan of $196,000 at an annual interest rate of 8.20%. (Round

GREYUIT [131]

Answer:

5 a) PMT=$1,465.60

b) Total Payments=$527,616

c) Total Interest=$331,616

6a) Interest=$1,079.93

b) Principal=$584.07

Step-by-step explanation:

a. Given the loan amount is $196,000, annual rate is 8.2% and the loan term is 30 years.

-The monthly mortgage payment can be calculated as follows:

$PMT=A(\frac{(r/n)}{1-(1+\frac{r}{n})^{-nt}})$

Where:

PMT is the monthly mortgage payment
r is the annual interest rate
n,t is the number of annual payments and time in years respectively

-We substitute to solve for PMT:

$PMT=A(\frac{(r/n)}{1-(1+\frac{r}{n})^{-nt}})\\\\=196000[\frac{(0.082/12)}{1-(1+\frac{0.082}{12})^{-12\times30}}]\\\\=\$1,465.60$

Hence, the monthly mortgage payment is $1,465.60

b. The total number of payments is obtained by multiplying the total number of payments by the amount of each payment:

$\sum(payments)=PMT\times nt\\\\=1465.60\times 12\times 30\\\\=\$527,616.00$

Hence, the total amount of payments is $527,616

c. The amount of interest paid over the loan's term is obtained by subtracting the principal loan amount from the total payments made:

$Interest=Payments-Principal\\\\=527,616.00-196,000.00\\\\=\$331,616$

Hence, an interest amount of $331,616 is paid over the loan's term.

6 a) We first obtain the effective loan amount by subtracting the down-payment:

$Loan \ Amount= Regular \ Price -Downpayment\\\\=205700-0.1(205700)\\\\=\$185,130$

The interest paid on the first mortgage payment is calculated as below:

$I=\frac{r}{n}\times P\\\\I=Interest\\r=interest \ rate\\n=Payments \ per \ year\\P=Outstanding \ loan \ balance\\\\\therefore I=\frac{0.07}{12}\times 185130\\\\=\$1,079.93$

Hence, the amount of interest in the first payment is $1,079.93

b. The amount of principal repaid is obtained by subtracting the interest amount from the monthly mortgage payments;

$Principal \ Paid=PMT-Interest\\\\PMT=A[\frac{(r/n)}{1-(1+\frac{r}{n})^{-nt}}]\\\\=185130[\frac{(0.07/12)}{1-(1+\frac{0.07}{12})^{-180}}\\\\=1664.00\\\\\\Principal \ Paid=1664.00-1079.93\\\\=\$584.07$