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Pavlova-9 [17]
2 years ago
13

What is true about an equation with infinite solutions?

Mathematics
1 answer:
Tamiku [17]2 years ago
5 0

When both sides of the equation are simplified, the coefficients are the same.

Step-by-step explanation:

An equation has infinite solutions when both sides of the equation are simplified, the coefficients are the same

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Find the angle measure C in the parallelogram ABCD.​
Kryger [21]

Answer:

135°

Step-by-step explanation:

In a parallelogram the opposite angles are congruent, so

∠BCD = ∠BAD = 135°

5 0
3 years ago
Installment Buying TV Town sells a big screen smart HDTV for $600 down and monthly payments of $30 for the next 3 years. If the
VikaD [51]

Answer:

(a). $1465.42

(b). $214.58

Step-by-step explanation:

We have been given that installment Buying TV Town sells a big screen smart HDTV for $600 down and monthly payments of $30 for the next 3 years. The interest rate is 1.25% per month on the unpaid balance.

(a) To find the cost of the TV, we will use monthly payment formula.

R=\frac{Pi}{1-(1+i)^{-n}}, where,

R = Periodic payment,

P = Loan amount,

i = Monthly interest rate in decimal form,

n = Number of total payments.

n=3\times 12=36

1.25\%=\frac{1.25}{100}=0.0125

30=\frac{P*0.0125}{1-(1+0.0125)^{-36}}

30=\frac{0.0125P}{1-(1.0125)^{-36}}

30=\frac{0.0125P}{1-0.6394091578134724264}

30=\frac{0.0125P}{0.3605908421865275736}

10.817725265595827208=0.0125P

0.0125P=10.817725265595827208

P=\frac{10.817725265595827208}{0.0125}

P=865.41802124766617664

P\approx 865.42

We know that total cost of TV would be equal to down payment plus amount of loan that is:

865.42+600=1465.42

Therefore, the total cost of the TV would be $1465.42.

(b). First of all, we need to find total amount paid in 3 years by multiplying amount of each monthly payment by 36 (3 years equal to 36 months).

\$30\times 36=\$1080

To find the total amount of interest paid, we will subtract amount of loan from total payment.

\$1080-\$865.42=\$214.58

Therefore, the total amount paid in interest would be $214.58.

8 0
3 years ago
Shawna invests $5,048 in a savings account with a fixed annual interest rate of 4% compounded 12 times per year. How long will i
Elena-2011 [213]

Answer:

5 years

Step-by-step explanation:

In the question we are given;

  • Amount invested or principal amount as $5048
  • Rate of interest as 4% compounded 12 times per year
  • Amount accrued as $6,163.59

We are required to determine the time taken for the money invested to accrue to the given amount;

Using compound interest formula;

A=P(1+\frac{r}{100})^n

where n is the interest period and r is the rate of interest, in this case, 4/12%(0.33%)

Therefore;

6,163.59=5,048(1+\frac{0.333}{100})^n

1.221=(1+\frac{0.333}{100})^n

1.221=(1.0033)^n

introducing logarithms on both sides;

log1.221=log(1.0033)^n\\n=\frac{log1.221}{log1.0033} \\n=60.61

But, 1 year = 12 interest periods

Therefore;

Number of years = 60.61 ÷ 12

                            = 5.0508

                            = 5 years

Therefore, it will take 5 years for the invested amount to accrue to $6163.59

3 0
3 years ago
PLEASE HELP!!! Show your work too, please!
dimulka [17.4K]

Step-by-step explanation:

first fish tank: 95-4x

second fish tank: 40+5x

1. Define variable

The variable x represents the number of days.

2. Write the inequality

<em>95-4x=40+5x</em>

<em />

3. You probably don't need the answer but I am just going to solve.

The first fish tank will have less water than the second fish tank after 7 days.

<em>95-4x=40+5x </em>

<em>95-4(7)=40+5(7)</em>

<em>95-28=40+35</em>

<em>67=75</em>

<em>Since the first equation (95-4x) represents the first fish tank, and the second equation (40+5x) represents the second fish tank, the solution shows how the amount of water in the first fish tank is less than the amount of water un the second fish tank after 7 days.</em>

8 0
3 years ago
Read 2 more answers
What is the radius in centimeters of a circle that has a circumference of 16 centimeters
Whitepunk [10]
If I did this correctly all you hade to do is work in reverse. 
1.) Divide 16 by pi (3.14) To get the diameter.16/ 3.14 =5.095541401 or 5.1
2.) Since Diameter is just the radius doubled divide 5.1 by 2. 5.1 /2 = 2.55
3.) Plug it in, use the 2pir equation to see if it works.  2X3.14X2.55= 16.014 or 16.
                     I hope this helps, let me know if you need further explanation.
3 0
3 years ago
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