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3 years ago

A commuter has $245 in his commuter savings account. This account

Mathematics

1 answer:

tino4ka555 [31]3 years ago

8 0

I’m not 100% sure but probably 16 weeks

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The length of a rectangular garden is 3 yd less than twice its length. The perimeter of the garden is 78 yd. What are the width

Alenkasestr [34]

Complete question :

Answer:

Width = 14 yards ; length = 25 yards

Step-by-step explanation:

Given that :

The length of a rectangular garden is 3 yd less than twice its length. The perimeter of the garden is 78 yd. What are the width and length of the garden?

Width of garden (W) = w

Lenght of garden (L) = 2w - 3

Perimeter of a rectangle : 2 (L + W)

2(2w - 3 + w) = 78

2(3w - 3) = 78

6w - 6 = 78

6w = 78 + 6

6w = 84

w = 14 yards

Length = 2(14) - 3

Length = 28 - 3 = 25 yards

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2 years ago

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grin007 [14]

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3 years ago

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Solve with quadratic formula.<br> 4k^2- 20 = k

zvonat [6]

Answer: $k= \frac{1+\sqrt{321} }{8} , \frac{1-\sqrt{321} }{8}$

Step-by-step explanation:

Move all terms to one side.

$4^{2} -20-k=0$

Use the Quadratic Formula.

$k=\frac{1+\sqrt{321} }{8}$ , $k=\frac{1-\sqrt{321} }{8}$

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3 years ago

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A music company offers lessons. They charge a registration fee of $30 and then $40 per lesson The equation y 40x + 30 represents

Veronika [31]

Answer:

THe y intercept is 30 and it represents the registration fee

Step-by-step explanation:

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3 years ago

Tremaine: wants a one bedroom townhouse in a trendy new development downtown; average cost is $145,000 is preapproved for a 4.38

Lina20 [59]

Using the monthly payment formula, it is found that the amount he will have to pay each month is of $649.45.

<h3>What is the monthly payment formula?</h3>

It is given by:

$A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}$

In which:

P is the initial amount.

r is the interest rate.

n is the number of payments.

In this problem, considering that the down payment does not count for interest, the parameters are given as follows:

P = 130000, r = 0.0438, n = 30 x 12 = 360.

Then:

r/12 = 0.0438/12 = 0.00365 -> 1+r = 1.00365.

Then the monthly payment is given by:

$A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}$

$A = 130000\frac{0.00365(1.00365)^{365}}{(1.00365)^{365} - 1}$

A = 649.45.

More can be learned about the monthly payment formula at brainly.com/question/2151013

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2 years ago