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Pachacha [2.7K]
2 years ago
12

Jake and his brother, Rob, built triangular kites for the Beach Cities Kite Festival and covered them with fabric. Jake's kite i

s 5.5 feet long and 6 feet tall. Rob's kite is 3.5 feet long and 4 feet tall. The fabric they used costs $2.50 per square foot.
How much more money did Jake spend on fabric than Rob?
Mathematics
1 answer:
yaroslaw [1]2 years ago
6 0

Answer:

$23.75

Step-by-step explanation:

Ok, first, To solve the problem, we need the amount of square feet of each kite.

To calculate area of triangles, you multiply base with height, then divide by two. (bh/2)

Jake's kite is 5.5 feet long, and 6 feet tall, so we plug this into the equation to get: (5.5 · 6)/2

we simplify to get 33/2 = 16.5 square feet.

Then to get the total cost, we multiply 16.5 with 2.50 to get $41.25, which is the cost of Jake's kite.

Now, we do the same with Rob's kite. (3.5*4)/2 = 14/2 = 7, then multiply by 2.5 to get 7 * 2.5 = $17.5, and that's the cost of Rob's kite.

To get the final answer, we subtract 41.25 to 17.5, which is $23.75

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Describe the effect an increase in i, the interest rate applied to the present value, has on the monthly payment P in the formul
VARVARA [1.3K]

Answer:

B. An increase in i, the interest rate, will create an increase in P, the monthly payment.

Step-by-step explanation:

We have the formula for the monthly payment as,

P=\frac{i \times PV}{1-(1+i)^{-n} },

where P = monthly payment, i = rate of interest, PV = present value and n = time period.

Now, as i increase we get that (1+i) increases and so (1+i)^{n} increases.

This gives us that, \frac{1}{(1+i)^{n} } decreases and so 1-\frac{1}{(1+i)^{n}} decreases

Therefore, \frac{1}{1-(1+i)^{-n} } increases.

So, we get that as i increases , the value of P will increase.

Hence, option B is correct.

4 0
3 years ago
Read 2 more answers
Multiply two and four-fifths negative five and two-thirds
Cerrena [4.2K]
The answer is -25/3.



If you need it simplified let me know.
4 0
3 years ago
If possible, factor 9x2 − 625y2.
Igoryamba

Answer:

(3x - 25y)(3x + 25y)

Step-by-step explanation:

9x² - 625y² ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

Given

9x² - 625y²

= (3x)² - (25y)²

= (3x - 25y)(3x + 25y)

3 0
3 years ago
Read 2 more answers
Jim wants to build a rectangular parking lot along a busy street but only has 2400 feet of fencing available. if no fencing is r
PSYCHO15rus [73]
<span>Length = 1200, width = 600
   First, let's create an equation for the area based upon the length. Since we have a total of 2400 feet of fence and only need to fence three sides of the region, we can define the width based upon the length as: W = (2400 - L)/2
   And area is: A = LW
    Substitute the equation for width, giving: A = LW A = L(2400 - L)/2
    And expand: A = (2400L - L^2)/2 A = 1200L - (1/2)L^2
    Now the easiest way of solving for the maximum area is to calculate the first derivative of the expression above, and solve for where it's value is 0. But since this is supposedly a high school problem, and the expression we have is a simple quadratic equation, we can solve it without using any calculus. Let's first use the quadratic formula with A=-1/2, B=1200, and C=0 and get the 2 roots which are 0 and 2400. Then we'll pick a point midway between those two which is (0 + 2400)/2 = 1200. And that should be your answer. But let's verify that by using the value (1200+e) and expand the equation to see what happens:
   A = 1200L - (1/2)L^2
 A = 1200(1200+e) - (1/2)(1200+e)^2
 A = 1440000+1200e - (1/2)(1440000 + 2400e + e^2)
 A = 1440000+1200e - (720000 + 1200e + (1/2)e^2)
 A = 1440000+1200e - 720000 - 1200e - (1/2)e^2
 A = 720000 - (1/2)e^2
   And notice that the only e terms is -(1/2)e^2. ANY non-zero value of e will cause this term to be non-zero and negative meaning that the total area will be reduced. Therefore the value of 1200 for the length is the best possible length that will get the maximum possible area.</span>
7 0
3 years ago
What is the common ratio for the geometric sequence? 18,12,8,163,… Enter your answer in the box.
uysha [10]

Answer:

\frac{2}{3}.

Step-by-step explanation:  

We have been given a geometric sequence 18,12,8,16/3,.. We are asked to find the common ratio of given geometric sequence.

We can find common ratio of geometric sequence by dividing any number by its previous number in the sequence.

\text{Common ratio of geometric sequence}=\frac{a_2}{a_1}

Let us use two consecutive numbers of our sequence in above formula.

a_2 will be 12 and a_1 will be 18 for our given sequence.

\text{Common ratio of geometric sequence}=\frac{12}{18}

Dividing our numerator and denominator by 6 we will get,

\text{Common ratio of geometric sequence}=\frac{2}{3}

Let us use numbers 8 and 16/3 in above formula.

\text{Common ratio of geometric sequence}=\frac{\frac{16}{3}}{8}

\text{Common ratio of geometric sequence}=\frac{16}{3*8}

\text{Common ratio of geometric sequence}=\frac{2}{3}

Therefore, we get \frac{2}{3} as common ratio of our given geometric sequence.




6 0
3 years ago
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