4, 16, 13, 52, 49, 196, 193, 772, _ What comes next?

The sum of two numbers is 72 and their difference is 40. Using elimination method

d1i1m1o1n [39]

Answer:

here's what we know:

a + b = 72

a - b = 26

We can use the elimination method to solve this problem:

a + b = 72

a - b = 26

---------------

2a = 98

Divide both sides by 2:

a = 49

So we now have:

49 + b = 72

and:

49 - b = 26

Subtract 49 from both sides:

b = 23

and

-b = -23 (multiply both sides by -1) → b = 23

Step-by-step explanation:

3 0

3 years ago

A carpenter is making a rectangular form for a concrete pad she wants the length of the path to be 11 feet more than the width o

Basile [38]

Answer:

Length = 16 or -5 feet.

Width = 5 or -16 feet.

Step-by-step explanation:

Let the length of the concrete pad = l

Let the width of the concrete pad = w

Given the following data;

Area of concrete pad, a = 80ft²

Translating the word problem into an algebraic equation, we have;

$l = 11 + w$

We know that, the area of rectangle, A = length * width

$A = l*w$

Substituting the values into the equation, we have;

$80 = (11 + w)w$

Expanding the bracket, we have;

$80 = 11w + w^{2}$

$w^{2} + 11w - 80 = 0$

*Solving the quadratic equation by using factorization method*

$w^{2} + 16w - 5w - 80 = 0$

$w(w + 16) - 5(w + 16) = 0$

$(w - 5)(w + 16) = 0$

Width, w = 5 feet or w = -16 feet.

Therefore, the width of the concrete pad is 5 feet or -16 feet.

To find its length, l;

$l = 11 + w$

When w = 5 feet

$l = 11 + 5$

Length, l = 16 feet

When w = - 16 feet

$l = 11 + (-16)$

$l = 11 - 16$

Length, l = -5 feet.

Hence, the dimensions of the concrete pad is 16 by 5 feet or -5 by -16 feet.

6 0

3 years ago

Solve for the given time.

AlekseyPX

9514 1404 393

Answer:

$319,525.64

Step-by-step explanation:

It appears you want the interest to accumulate for 15 years before you pay anything on the loan. The value of $180,000 appreciating at 3.9% annually will be ...

$180,000·(1 +0.039)^15 = $319,525.64

If your lender allows you to wait 15 years before making any payment, your payment will be $319,525.64.

__

Additional comment

Home loans are usually paid with monthly payments computed from the formula ...

A = P(r/12)/(1 -(1 +r/12)^(-12t))

where A is the monthly payment on principal P, r is the annual interest rate, t is the number of years.

For your $180,000 loan, the monthly payment is ...

A = $180,000·(0.039/12)/(1 -(1 +0.039/12)^(-12·15)) ≈ $1322.44

The total of those payments is ...

180·$1322.44 = $238,039.20

If you pay $1322.44 monthly on the loan, your total payment is $238,039.20.

3 0

3 years ago

Dilution Problem

LUCKY_DIMON [66]

Answer:

76.7 liters

Step-by-step explanation:

You have ...

C1×V1 = C2×V2

so ...

V2 = V1×(C1/C2) = (115 L)×(14/21) = 76 2/3 L

V2 ≈ 76.7 L

4 0

3 years ago

Evaluate the expression when a=- 7 and x=3. a-8x

FinnZ [79.3K]

Answer:

-31

Step-by-step explanation:

a - 8x will change to (-7) - 8(3) = -31

3 0

2 years ago

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