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3 years ago

Maggie's brother is three years younger than twice her age. The sum of their ages is 24 how old is maggie?

1 answer:

6 0

The variable for Maggie will be M and 2x-3 be her younger brothers age (<u>Twice her age). </u>We then would turn this into <u>an algebraic problem</u>. (m+2x -3=24).

3x-3=24, we would add 3 to both sides (-3 and 24). 24 + 3 equals 27, we now have to divide -3x and 27 on both sides, which equals <u>9. (x=9)</u>

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What is 3 = 5x - 12?

zepelin [54]

Answer:

x = 3

Step-by-step explanation:

3=5x-12

Rearrange the Equation.

5x - 12 = 3

Add 12 to both sides.

5x - 12 + 12 = 3 + 12

Simplify

5x = 15

Divide both sides by 5

5x/5 = 15/5

x = 3

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

A zucchini plant in Darnell’s garden was 10 centimeters tall when it was first planted. Since then, it has grown approximately 0

Mariulka [41]

Answer:

Let's start with part B. if it was originally 10 cm tall and it goes up 0.5 cm. each day, then we know that to go up one cm it needs two days. With that information we can say that 8*2 = 16. So it needs 17 days to go up 8.5 cm which would make it 18.5 cm tall.

Step-by-step explanation:

f(x) = 0.5x + 10

0.5x + 10 = 18.5

0.5x = 18.5 - 10

0.5x = 8.5

x = 8.5/0.5

x = 17 days

6 0

3 years ago

Prove by mathematical induction that 1+2+3+...+n= n(n+1)/2 please can someone help me with this ASAP. Thanks

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