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Mariana [72]
3 years ago
7

Hint: Answer these two questions: 1. What number do you start with? 2. How do you get from one number to the next? Look at the s

equence below. Write a rule to complete the pattern. 6, –2, –10, –18,… A) Start with –8 and add 6 repeatedly. B) Start with 6 and add 8 repeatedly. C) Start with 6 and add –8 repeatedly.
Mathematics
1 answer:
TEA [102]3 years ago
4 0

Answer:It's C

Step-by-step explanation:

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5(x–9)–7(3x+6)=25<br> Please help me.
Snowcat [4.5K]

Answer:

x=-3 10/16

Step-by-step explanation:

5x-9-21x-42=25 (opening parenthesis)

-16x-33=25

16x+58=0

x=-58/16=-3 10/16

3 0
4 years ago
Lola bought x pencils that cost $0.25 each and y erasers that cost $0.50. She spent less than $3. Which graph represents Lola’s
Nady [450]
X would have to be less than 12, y would have to be less than 6. So a graph displaying x less than or equal to 12 and y less than or equal to 6.
4 0
4 years ago
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Calculate the speed of a car that travels 50 km (kilometers) in 30 min (minutes). Question 1 options: 1. 6 km/min (kilometers pe
algol13

The speed of this car is equal to 1.6 km/min.

<u>Given the following data:</u>

  • Distance = 50 kilometers.
  • Time = 30 minutes.

To calculate the speed of this car:

Speed can be defined as the distance travelled by an object per unit time and it is usually measured in meter per seconds (m/s). Also, speed has magnitude but no direction and as such it is a scalar quantity.

Mathematically, speed is given by the formula;

Speed = \frac{distance}{time}

Substituting the given parameters into the formula, we have;

Speed = \frac{50}{30}

Speed = 1.6 km/min.

Read more: brainly.com/question/13102821

7 0
2 years ago
Beverage A and Beverage B are sold in identical cans. Beverage A is 12% suger. The portion of Beverage B that is suger is 0.3. H
8090 [49]

Answer:

if you convert the sugar in beverage A to the decimal .12 and compare it to beverage Bs .3 you'll find that B has 2.5 times more sugar than A.

Step-by-step explanation:

12 × 100= .12

.12 × 2.5= .30

4 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
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