A major credit card company requires monthly payments equal to or greater than 8% of the total balance.A consumer has a credit card balance of $320. Write an inequality that represents acceptable payment amounts.

Answer:

Present Value = [tex]X [\frac{1}{(1 + 0.12)^{1} } + \frac{1}{(1 + 0.12)^{2} } + \frac{1}{(1 + 0.12)^{3} } + \frac{1}{(1 + 0.12)^{4} } + \frac{1}{(1 + 0.12)^{5} } ][/tex]

Step-by-step explanation:

To find - If discount rate is 12%, the present value of Rs X received at the end of each year for the next five years is equal to .... ?

Solution -

We know that, formula for finding the Present vale is given by

Present value = Future value / (1 + r)ⁿ

where r is the rate of interest

and n is Number of periods

Now,

Here in the question, we have

r = 12% = 12/100 = 0.12

n = 5

Also, Given that, we have received Rs X at the end of each year

So,

Present Value = [tex]\frac{X}{(1 + 0.12)^{1} } + \frac{X}{(1 + 0.12)^{2} } + \frac{X}{(1 + 0.12)^{3} } + \frac{X}{(1 + 0.12)^{4} } + \frac{X}{(1 + 0.12)^{5} }[/tex]

                        = [tex]X [\frac{1}{(1 + 0.12)^{1} } + \frac{1}{(1 + 0.12)^{2} } + \frac{1}{(1 + 0.12)^{3} } + \frac{1}{(1 + 0.12)^{4} } + \frac{1}{(1 + 0.12)^{5} } ][/tex]

⇒Present Value = [tex]X [\frac{1}{(1 + 0.12)^{1} } + \frac{1}{(1 + 0.12)^{2} } + \frac{1}{(1 + 0.12)^{3} } + \frac{1}{(1 + 0.12)^{4} } + \frac{1}{(1 + 0.12)^{5} } ][/tex]

Answer:

44, 6, and 24 are not perfect square

Step-by-step explanation:

Perfect square are numbers that can be square rooted with a result of a perfect whole number.

√16=4

√44= 6.63324...

√81= 9

√6= 2.44948...

√49= 7

√24= 4.898997...

Answer:

1) E(X) = 1.5

2)SD = 1.118

Step-by-step explanation:

1) Formula for expected value of this set of data is;

E(X) = Σx * P(x)

Σx = 0 + 1 + 2 + 3 = 6

And P(x) = ¼

Thus;

E(X) = 6 × ¼ = 1.5

2) Formula for the standard deviation is;

SD = √Σ((x - μ)²•P(x))

Where μ is the expected value = 1.5

At x = 0,we have;

(0 - 1.5)² × 1/4 = 0.5625

At x = 1, we have;

(1 - 1.5)² × 1/4 = 0.0625

At x = 2, we have;

(2 - 1.5)² × 1/4 = 0.0625

At x = 3, we have;

(3 - 1.5)² × 1/4 = 0.5625

Thus,Σ((x - μ)²•P(x)) = 0.5625 + 0.0625 + 0.0625 + 0.5625 = 1.25

Thus;

SD = √1.25

SD = 1.118

Answer: angle 1= 65 degrees, angle 2=115 degrees

Step-by-step explanation:

While in the blueprint, each square is 1/4...in real life, it's 4 feet per square.

Meaning, the area of each square is (4 x 4) 16 square feet.

Since there are 8 squares/tiles in the bathroom...

...multiply 8 x 16 = 128 square feet in real life.

Multiply that with the cost, and since it costs $5 per square feet:

Do it in similar steps.

Living room: 4 x 7 = 28 tiles

Bedroom: 4 x 5 = 20 tiles

20 + 28 = 48 tiles (in blueprint)

...multiply 48 x 16 = 768 feet square (in real life)

[Convert feet into yards...3 feet equals 1 yard]

a square yard would be 3 feet x 3 feet = 9 feet...

...divide 768 by 9

768 ÷ 9 = 85.33 square yards (rounded up)

Multiply that with the cost, and since it costs $18 per square feet:

Answer:

Step-by-step explanation:

I have attached an image to make question clearer.

(A) Yes, the surface area of the block is twice the surface area of one of the triangular prisms. This is because the block has opposite faces to be equal since it's a cuboid, also all it's faces to be made of rectangles, therefore cutting it from the diagonal makes two equal triangles. Hence, the two triangular prisms are the same and since they are the same, two of the prisms will make up the block again. In conclusion, the surface area of the block will be times two of one of the triangular prism's surface area.

(B) since the surface area of the block is times two of the surface area of the triangular prism. Then we should look for the area of the prism.

Surface area of cuboid is given as:

2(L x W + L x H + W x H)

L = 4.5, W = 3 and H = 4.

Surface area = 2(4.5*3 + 4.5*4 + 3*4) = 87

Since the surface area is 87, then the surface area of one of the two triangles will be

87/2 = 43.5.

Answer:

Below.

Step-by-step explanation:

1.  Vertex is  (1, -9)

2. Axis of symmetry is x = 1.

3.  x-intercepts are at (-2,0) and (4,0).

4.  y-intercept is at (0, -8).

5. That is (3, -5).

Answer:

Vertex: In the geometry of plane curves, a vertex is a point of where the first derivative of curvature is zero. This is typically a local maximum or minimum of curvature, and some authors define a vertex to be more specifically a local extreme point of curvature.

The axis of symmetry of a parabola is a line about which the parabola is symmetrical. When the parabola is vertical, the line of symmetry is vertical. When a quadratic function is graphed in the coordinate plane, the resulting parabola and corresponding axis of symmetry are vertical.

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.

Y-intercept: In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.

A^3 - B^3

a-b

5

Step-by-step explanation:

Hope this helps

I need help on the same one!!

Answer:

BCF = 140°

See attached image.

Answer:

m<BCF=140°

Step-by-step explanation:

first find m<BCD

m<BCD=180-50-90

m<BCD=40°.

to find m<BCF, we can do 180-m<BCD, since m<BCD and m<BCF add up to 180° (they form a straight angle)

180-m<BCD=m<BCF

180-40=m<BCF

m<BCF=140°

Answer:

250%

Step-by-step explanation:

Let initial Markup % = x

Sales price = 100% + x = (1 + x)%

50% off sale = (1+x)% - (1+x)% /2

Final price after 50% off sale = 1 + 0.75 = 1.75

Hence,

50% off sale = 75% price markup

0.5(1 + x) = 1.75

0.5 + 0.5x = 1.75

0.5x = 1.75 - 0.5

x = 1.25 / 0.5

x = 2.5

Hence, Markup on initial price should be 1.25 = (2.5 * 100%) = 250%

Answer:

16

Step-by-step explanation:

(200*2)/25=16

Step-by-step explanation:

Can you please attach the graph picture

Answer: use the radious

Step-by-step explanation:

Answer:

x ≥ 9

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

On using similar triangles we get 5x = 6x-4. So x is 4 and jk length is 24-4=20

Answer:

280 is your answer

Step-by-step explanation:

Answer:

C) -7/9

Step-by-step explanation:

Do -4-3 (-7)

Do 7 - -2 (9)

Or in other words, just subtract the x to the other x, and the y to the other y (from right to left)

Answer:

162 km per hour

Step-by-step explanation:

Hi!

Speed=Distance x Time

So... 3 x 54 = 162

Hope this helps :)

Answer:

18km/h

Step-by-step explanation:

Well. Speed = Distance x Time

So if she travelled for 3 hours. In that time, she must have travelled 54km.

Average speed is given as kilometres per hour or km/h

So all we need to do is 54/3 which gives us 18km/h

I hope that helps! ^-^

Answer:

904.8 centimeters

Step-by-step explanation:

1)identify variables

h = 18        d = 8

2)radius is half of the diameter

r = 4

3)use volume of a cylinder formula

V= PIEr^2h

4)substitute variables into formula

V=PIE(4)^2(18)  

5)multiply

V=  904.778684234

6)round to the nearest tenths place

V=  904.8 centimeters

yw:))

(The 'PIE' is supposed to represent the pie symbol but I don't have it on my computer.)

Answer:

-1, 0 and +1. Those are the only integer solutions.

Answer:

9 bags of candy

Step-by-step explanation:

6 cookies at 14 grams each = 84 grams meaning the remaining grams of the 140 have to be the weight of the candy which = 56 grams (140-84). To find out how much candy is in one cookie divide 56 by 6 which = 9.33333. You then divide 20 by 9.3333 which = 2.14 (rounded to nearest 10th). Since you can get just over 2 cookies worth of candy per bag you only need half the number of cookies in bags of candy (9 bags)

Answer:

11,000

Step-by-step explanation:

Answer:

i cant see it...........

Step-by-step explanation:

Answer:

It is that each method has different equations and not all of them can tell you what you are looking for

Step-by-step explanation:

If I helped can I get Brainliest

Answer:

$1,038

Step-by-step explanation:

the equation for annual compound interest is y=p(1±r)^t, where p is the principal (starting amount), r is the rate (as a decimal), and t is the number of years (time).

2.5% as a decimal is 0.025

We will add that to 1, because when we earn interest, we are gaining money.

So we will substitute our given numbers into the equation:

y=6500(1.025)^6

solve:

y=$7,5638 (rounded)

That's the total amount he earned (principal + interest). To find out how much interest he earned over those 6 years, subtract our new amount from our starting amount

75638-6500

$1,038

So he made $1,038 in interest

Answer:

1.) isosceles

2.) equilateral

3.) obtuse

4.) right

Answer:

y = 3/2x + 7/2

Step-by-step explanation:

First, you need to find the slope.

y2 - y1 / x2 - x1

= 5 - 8 / 1 - 3

= 3/2

The slope is 3/2x.

To find the y-intercept, plug any one of the coordinates into the equation, which is y = 3/2x + b

y = 3/2x + b

8 = 3/2(3) + b

8 = 9/2 + b

7/2 = b

The equation y = 3/2x + 7/2.

Answer:

8(m^2  − 2n^4  p^5)  (m^4  +  2m^2  n^4  p^5  +  4n^8  p^10)

Step-by-step explanation:

um long explanation and im bad at explaining

can i have brainliest? =)

Answer:    21

Step-by-step explanation:

add all the numbers together as many times as they are shown on the shape so 2.8=4 times

1.4= 2 times

and 3.5= 2 times

Answer:

Area= l+b) ×2

6.5x+5ft +5ft

13x+20ft