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3 years ago

Multiply the Polynomial (2c-1)(5c-7) I just need to know how to do it!

2 answers:

6 0

For these questions, REMEMBER... FOIL or
First
Outside
Inside
Last

multiply both of the first terms 2c x 5c

then do the outsides of the terms 2c x -7

then the insides -1 x 5c

then the lasts -1 x -7

now add them all together

10 $c^{2}$ - 14c - 5c + 7 = 10 $c^{2}$ - 19c + 7

nordsb [41]3 years ago

6 0

(2c - 1)(5c - 7)
2c(5c - 7) - 1(5c - 7)
2c(5c) - 2c(7) - 1(5c) - 1(-7)
10c² - 14c - 5c + 7
10c² - 19c + 7

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PIT_PIT [208]

Step-by-step explanation:

are this form 1 question???

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3 years ago

the two longer sides of a triangle measure 22 units and 29 units. Which of the following is a possible length of the shortest si

suter [353]

The shortest value has to be greater than 6 and less than 22 in order for 22 to be one of the 2 longer sides.

3 0

3 years ago

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;

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

Hence, the amount of principal applied is $584.07

7 0

3 years ago

Bamboo plants grow Rapidly. A Bamboo plant is 130 inches tall. Tomorrow it will b 142 inches tall, the next day it will be 156 i

scoray [572]

The rule to represent the aritmathic sequence would be :
A(n) = 130 + (n-1) 13

the height in 13 days would be :

A(n) = 130 + (14-1) 13
A(n) = 130 + 169

= 299 inches

8 0

3 years ago

In sunlight, a vertical stick has a height of 5 ft and casts a shadow 3 ft long at the same time that a nearby tree casts a shad

alexandr402 [8]

since the length of the shadow of the tree is 5 times longer ( 15/3 =5)

multiply height ( 5) x 5 = 5*5 = 25

so height of tree is 25 feet tall

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3 years ago