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dusya [7]
2 years ago
5

Please help!!

Mathematics
1 answer:
ipn [44]2 years ago
3 0

x

4

+

50

x

2

+

625Rewrite  

625

as  

25

2

.

u

2

+

50

u

+

25

2

Check the middle term by multiplying  

2

a

b

and compare this result with the middle term in the original expression.

2

a

b

=

2

⋅

u

⋅

25

Simplify.

2

a

b

=

50

u

Factor using the perfect square trinomial rule  

a

2

+

2

a

b

+

b

2

=

(

a

+

b

)

2

, where  

a

=

u

and  

b

=

25

.

(

u

+

25

)

2

Replace all occurrences of  

u

with  

x

2

.

(

x

2

+

25

)

2

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Buying a $36,000 new hybrid SUV with $3000 paid up front and the rest borrowed at 4.2%
Studentka2010 [4]

From the calculations, the total amount paid for the SUV is $43,708.

<h3>What is compound interest?</h3>

The term compound interest has to do with an interest that is charged in both the principal and the interest.

In this case, the amount that was borrowed is  $36,000 - $3000 = $33,000. Using the formula;

A = P(1 + r/n)^nt

P =  $33,000

r = 4.2%

n = 52

t = 5 years

A = 33,000(1 + 0.042/52)^(52 * 5)

A = $40,708

Total amount paid = $40,708 + $3000 = $43,708

Learn more about compound interest:brainly.com/question/14295570?

#SPJ1

3 0
2 years ago
2. A circle of radius 12 units is divided into 8 congruent slices.
adelina 88 [10]

Answer:

a: 18pi

b: 3pi

Step-by-step explanation:

part a:

total area = 12^2*pi = 144pi

144pi/8 = 18pi

part b:

total circumference = 12*2*pi = 24pi

24pi/8 = 3pi

3 0
3 years ago
Help, I’m a bit confused, what would the coordinates be. The question is in the picture!!!!!
kotykmax [81]
(x+4), (y-1) because the figure is translated 4 units to the right and 1 down.
3 0
3 years ago
Slope intercept form of a line that has a slope of -3/4 and passes through (4, 3)
tia_tia [17]
<h3><u>Explanation</u></h3>
  • First Method

We have the given slope value and the coordinate point that the graph passes through.

y = mx + b

where m = slope and b = y-intercept. Substitute the value of slope in the equation.

y =  -  \frac{3}{4} x + b

We have the given coordinate point as well. After we substitute the slope, we substitute the coordinate point value in the equation.

3 =  -  \frac{3}{4} (4) + b \\

<u>Solve</u><u> </u><u>the</u><u> </u><u>equation</u><u> </u><u>for</u><u> </u><u>b-term</u>

3 =  - 3 + b \\ 3 + 3 = b \\ 6 = b

The value of b is 6. We substitute the value of b in the equation.

y =  -  \frac{3}{4} x + 6

  • Second Method

We can also use the Point-Slope form to solve the question.

y - y_1 = m(x - x_1)

Given the y1 and x1 = the coordinate point value.

Substitute the slope and coordinate point value in the point slope form.

y - 3 = -  \frac{3}{4} (x - 4)

<u>Simplify</u><u>/</u><u>Convert</u><u> </u><u>into</u><u> </u><u>Slope-intercept</u>

y =  -  \frac{3}{4} (x - 4) + 3 \\ y =  -  \frac{3}{4} x +  \frac{12}{4}  + 3 \\ y =  -  \frac{3}{4} x + 3 + 3 \\y =  -  \frac{3}{4} x + 6

<h3><u>Answer</u></h3>

<u>\large \boxed {y =  -  \frac{3}{4} x + 6}</u>

6 0
2 years ago
Amira has 3/4 of a bag of cat food. her cat eats 3/4 lbs of a bag per week
Stels [109]

Answer:

1 week

Step-by-step explanation:

<u><em>The correct question is</em></u>

Amira has 3/4 of a bag of cat food .Her cat eats 3/4 of a bag per week . How many weeks will the food last ?

we know that

To determine how many weeks her food will last, we take the amount of food and divide by how much she feeds her cats.

3/4 bag ÷ 3/4 bag per week

\frac{3}{4}: \frac{3}{4}

Multiply in cross

\frac{3*4}{4*3}=1\ week

8 0
3 years ago
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