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RoseWind [281]
3 years ago
6

Use the expression (10p+10)+(8p−1). Simplify using properties of operations and then factor the expression using the GCF.

Mathematics
1 answer:
Fofino [41]3 years ago
7 0

Answer:

9 (2p + 1)

Step-by-step explanation:

(18p + 9)

GCF = 9

so, divide everything by 9

9 (2p + 1)

You might be interested in
Both questions plzzz thanks
andrew11 [14]

Answer:

Step-by-step explanation:

The formula for determining simple interest is expressed as

I = PRT/100

Where

I represents interest paid on the loan.

P represents the principal or amount taken as loan

R represents interest rate

T represents the duration of the loan in years.

1) From the information given,

P = cost of gym = $2200

R = 6%

T = 3 years

I = (2200 × 6 × 3)/100 = $395

The total amount that he would pay after 3 years is

2200 + 395 = $2596

If he decides to continue going to the gym, the total amount that the would pay in 3 years(3 × 12 = 36 is

80 × 36 = 2880

Therefore, paying for the gym would cost more. He should take the loan.

2) if she takes the loan, the interest would be

I = (18000 × 7.5 × 5)/100 = $6750

The total amount that she would pay back after 5 years is

6750 + 18000 = $24750

Since the value that would be added to her house is $25000, therefore, she should buy it.

6 0
3 years ago
The lines on the graph below represent the cost of apples at four different stores.
Doss [256]
The cost of 10 apples would be 26 dollars because each pound is 14.
5 0
3 years ago
You want to buy a car, and a local bank will lend you $30,000. The loan would be fully amortized over 6 years (72 months), and t
Georgia [21]

Answer:

<h2>- 56,667cents</h2><h2>- 6.17%</h2>

Step-by-step explanation:

Before we can determine the monthly loan paymnet, we must first calculate the total amount paid at the end of 6years.

Amount = Principal + Interest

Given Principal = $30,000

Interest = Principal * rate * time/100

Interest = $30,000*6*6/100

Interest =  $10,800

Amount =  $30,000+ $10,800

Amount =  $40,800

If amount paid after 6years is $40,800, my monthly loan payment = $40,800/72 ≈ $566.67 to nearest dollar.

since $1 - 100cents

$566.67 = 100 * 566.67

$567 = 56,667cents

Monthly loan payment to nearest cent will be  56,667cents

EFF = (1 + r /n)^n - 1

r is the rate and n is the number of period per year which is 12months

%EFF = EAR = (1 + 0.06 /12)^ 12 - 1

%EFF = 1.005^12

%EFF = 1.061678 - 1

%EFF = 0.061678

%EFF = 6.17% to 2dp

6 0
3 years ago
2. If the data in the table were displayed in a circle graph, which percent would NOT appear in the graph? Round to the nearest
german
Adding the numbers gives us a total of 65

Jan = 20/65 = 30.7% = 31%
Feb = 25/65 = 38.4% = 38%
Mar = 1/65 = 1.5% = 2%
Apr = 3/65 = 4.6% = 5%
May = 16/65 = 24.6% = 25%

I believe ur answer is 30%


6 0
3 years ago
Suppose m = 2 + 6i, and | m + n | = 3√10, where n is a complex number.
Ksju [112]

Answer: a) √50

b) n = 1 + 7i

Step-by-step explanation:

first, the modulus of a complex number z = a + bi is

IzI = √(a^2 + b^2)  

The fact that n is complex does not mean that n doesn't has a real part, so we must write our numbers as:

m = 2 + 6i

n = a  + bi

Im + nI = 3√10

Im + n I = √(a^2 + b^2 + 2^2 + 6^2)= 3√10

            = √(a^2 + b^2 + 40) = 3√10

             a^2 + b^2 + 40 = 3^2*10 = 9*10 = 90

             a^2 + b^2 = 90 - 40 = 50

            √(a^2 + b^2 ) = InI = √50

The modulus of n must be equal to the square root of 50.

now we can find any values a and b such a^2 + b^2 = 50.

for example, a = 1 and b = 7

1^2 + 7^2 = 1 + 49  = 50

Then a possible value for n is:

n = 1 + 7i

6 0
3 years ago
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