A bank advertises a 2/1 ARM at 3.25% with a 2/10 cap.
What is the maximum interest rate that can be charged during the fifth year?
A 2%
B 3.25%
C 9.25%
D 10%

Answer:

x² + y² = 72

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( r is the radius )

The radius is the distance from the centre to a point on the circle.

Use the distance formula to calculate r

r = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (6, 6)

r = [tex]\sqrt{(6-0)^2+(6-0)^2}[/tex]

  = [tex]\sqrt{6^2+6^2}[/tex]

  = [tex]\sqrt{36+36}[/tex]

  = [tex]\sqrt{72}[/tex]

Thus

x² + y² = ([tex]\sqrt{72}[/tex] )² , that is

x² + y² = 72 ← equation of circle

Step-by-step explanation:

If the discount is 35% off. then the new price is 65% of what the old price is. So we multiply 120 x .65 = 78

Answer:

You pay 65% which is $78

Step-by-step explanation:

You'd pay 65% of the original price.

65% of the original price is 78

To do this you multiply 65% by 120

The value of X is -3.

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

[tex]x = - 3[/tex]

Step-by-step explanation:

[tex] - 8(x + 6) - 1 = 5(x - 2) \\ - 8x - 48 - 1 = 5x - 10 \\ - 8x - 5x = 48 + 1 - 10 \\ - 13x = 39 \\ \frac{ - 13x}{ - 13} = \frac{39}{ - 13} \\ x = - 3[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

C

Step-by-step explanation:

a fraction will almost always be division

Answer:

C

Step-by-Step explanation:

6/17 = 0.35

Answer:

D. 85.7%

Step-by-step explanation:

its figuring out the percentage decrease

so you would go

35-5= 30

30/35 x 100 = 85.7

Answer:

Step-by-step explanation:

Discount = 35 - 5 = 30

Percentage of discount = (30/35) * 100

                                       = 85.7 %

Answer:

408 squared units

Answer: 59049

Step-by-step explanation: 3 to the power of 10 = 310 = 59049.

( I hope this helped <3 )

The number 3 raised to the power of 10 (that is [tex]3^{10[/tex]) is calculated as: 59,049.

The step-by-step calculation for 3 to the tenth power ([tex]3^{10[/tex]) is shown and explained below:

Start with the base number, which is 3.

Multiply the base number by itself to the power of 1:

[tex]3^1[/tex] = 3

Continue multiplying the result by the base number for each subsequent power:

3² = 3 × 3 = 9

3³ = 3 × 3 × 3 = 27

[tex]3^4[/tex] = 3 × 3 × 3 × 3 = 81

[tex]3^5[/tex] = 3 × 3 × 3 × 3 × 3 = 243

[tex]3^6[/tex] = 3 × 3 × 3 × 3 × 3 × 3 = 729

[tex]3^7[/tex] = 3 × 3 × 3 × 3 × 3 × 3 × 3 = 2,187

[tex]3^8[/tex] = 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 = 6,561

[tex]3^9[/tex] = 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 = 19,683

[tex]3^{10[/tex] = 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 = 59,049

Therefore, 3 raised to the power of 10 is equal to 59,049.

Learn more about powers on:

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Step-by-step explanation:

1.901

hope this helps.

Answer:

1.900769231

In three decimal places is 1.901

Step-by-step explanation:

HAVE A GOOD DAY!

Answer:

(0,1)

Step-by-step explanation:

Answer:

Step-by-step explanation:

(2y²)³=2³×y^6=8y^6

=8×y×y×y×y×y×y

Answer:

45

Step-by-step explanation:

b and c are part of an 180 degrees angle.

You already have a 90 degrees angle

180-90=90

And since there are 2 angles

90/2=45

And b and c are vertical angles

Answer:

(8, -5)

Step-by-step explanation:

When you reflect across the line y = x, you switch the two numbers in the coordinate. The point (a, b) turns into (b, a).

Answer:

distance ÷ 67 = how many hours took to ride that much

you can use a normal table that looks like the ones on google when you search up "tables in math"

I'm sorry for this short answer! I'm in a rush but I hope this helped!

Answer:

182

Step-by-step explanation:

2( \frac{1}{2} \times 4 \times 6 ) + 2( 5 \times 10 ) + ( 6 \times 10 )

= {182cm}^{2}

The area of a 2D form is the amount of space within its perimeter. The total surface area of the prism is 184 cm².

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

The surface area is the sum of the area of the 5 faces of the triangular prism, therefore, we can write,

Surface area = sum of the Area of the rectangular faces + 2(Area of the triangle base)

Now, the Area of a rectangular face is,

Area = (5cm × 10cm) + (5cm × 10cm) + (6cm × 10cm)

        = 160 cm²

The area of the triangle base,

Area = 0.5 × 4cm × 6cm = 12 cm²

Further, the total area of the Prism will be,

Total surface area = 160cm² + 2(12cm²) = 184cm²

Hence, the total surface area of the prism is 184 cm².

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Answer:

3

Step-by-step explanation:

because the raidus of 12 and 6 cancel

Answer: 1/6x1/5

You have to remember the method keep, change, flip. keep 1/6 change the division sign to the multiplication sign and flip the 5 to 1/5.

Hope this helps <3

-Carrie

Be sure to mark brainliest

:)

Answer:

B

Step-by-step explanation:

The notation ⊥ means the 2 lines are perpendicular, which by definition means they intersect at a 90 degree angle.

Answer:

12(3+5)

Step-by-step explanation:

The greatest common factor is 12

12*3 + 12*5

12(3+5)

Answer:

12(3+5)

Step-by-step explanation:

First, let’s list all the factors of the two numbers. Factors are numbers that evenly divide into a number.

The two numbers are 36 and 60.

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The GCF is the greatest common factor. The biggest factor both numbers share is 12.

Now let’s find the expression.

36+60

We know the GCF is 12. Therefore, we can distribute out a 12. Take out a 12, and then divide both numbers by 12.

12( 36/12 + 60/12)

12(3+5)

Answer:

slope of the first line: 1

slope of the second line: 0.778

slope of the third line: 0.375

slope of the fourth line: 1.25

Step-by-step explanation:

Given two points (x1, y1) and (x2, y2), the slope of a line is computed as follows:

slope = (y2 - y1)/(x2 - x1)

Therefore,

slope of the first line: [5 - (-4)]/[4 - (-5)] = 1

slope of the second line: [5 - (-2)]/[4 - (-5)] = 0.778

slope of the third line: [2 - (-1)]/[3 - (-5)] =  0.375

slope of the fourth line: [5 - (-5)]/[4 - (-4)] = 1.25

Answer:

this the question and answer i have and i-d-k what the other person is solving l.o.l

Step-by-step explanation:

Answer:

By asking a larger quantity of people.

Changing the time/date of when she went and asked the questions

Answer:

by asking more people because then she can get a more diverse answer

Step-by-step explanation:

Answer:

[tex]\dfrac{\pi}{10}[/tex].

Step-by-step explanation:

All coterminal angles of an angle [tex]\theta[/tex] are defined as

[tex]\theta +2n\pi[/tex] or [tex]\theta + n360^{\circ}[/tex]

where, n is an integer.

The given angle is

[tex]\theta=-\dfrac{19\pi}{10}[/tex]

So, all coterminal angles of an angle [tex]\theta[/tex] are

[tex]-\dfrac{19\pi}{10}+2n\pi[/tex]

For n=1,

[tex]\Rightarrow -\dfrac{19\pi}{10}+2(1)\pi[/tex]

[tex]\Rightarrow -\dfrac{19\pi}{10}+2\pi[/tex]

[tex]\Rightarrow \dfrac{-19\pi+20\pi}{10}[/tex]

[tex]\Rightarrow \dfrac{1\pi}{10}[/tex]

Since,  [tex]\dfrac{\pi}{10}[/tex]  between 0 and 2π, therefore,  the required coterminal angle is [tex]\dfrac{\pi}{10}[/tex].

Answer:

Joe’s mountain had a rise of 1200 and a run of 1500, making the slope of the mountain 4/5. Bob’s mountain had a rise of 900 and a run of 1000, making the slope of the mountain 9/10. Since 9/10 is larger than 4/5, the slope of Bob’s mountain is steeper than the slope of Joe’s mountain.

Step-by-step explanation:

edge 2020

Answer:

Sample Answer: Joe’s mountain had a rise of 1200 and a run of 1500, making the slope of the mountain 4/5. Bob’s mountain had a rise of 900 and a run of 1000, making the slope of the mountain 9/10. Since 9/10 is larger than 4/5, the slope of Bob’s mountain is steeper than the slope of Joe’s mountain.

Step-by-step explanation:

15

Σ  40

n=6

explanation; add all the numbers to get 40

6 is the first number and 15 is the last number

Answer: D on edg

Step-by-step explanation:

The equation of a straight line with gradient m passing through the origin is:

[tex]\displaystyle y=mx[/tex]

The line passes through the origin, so the y-intercept is [tex]0[/tex]

[tex]\displaystyle y=mx+b[/tex]

[tex]\displaystyle y=mx+0[/tex]

[tex]\displaystyle y=mx[/tex]

Answer:

what is this I don't kno!

Answer:

True

Step-by-step explanation:

Answer:

x = 93

Step-by-step explanation:

Given

<QSR = 35

<SRQ = 58

<SQP = x

Required

Find x

To find the value of x, a triangle needs to be drawn (See attachment).

From the attachment;

<SQP + <SQR = 180 ----------Angle on a straight line (Equation 1)

<SQR + <QSR + <SRQ = 180 ----------- Sum of angles in a s triangle (Equation 2)

Substitute <QSR = 35 and <SRQ = 58 in equation 2

<SQR + 35 + 58 = 180

<SQR + 93 = 180

Subtract 93 from both sides

<SQR + 93 - 93 = 180 - 93

<SQR = 87

SUbstitute 87 for <SQR in Equation 1

<SQP + 87 = 180

Subtract 87 from both sides

<SQP + 87 - 87 = 180 - 87

<SQP = 93

Recall that <SQP = x

So, x = 93

Answer:

x = 93

Step-by-step explanation:

cuz it is

Answer: 88 inches

Step-by-step explanation:

So the radius of the tire is computed by dividing it in half. We know that in one round of the wheel, the wheel moves to a distance equal to the circumference of the wheel. So each time the wheel goes around, the bicycle moves about 88 inches 88 i n c h e s forward.

Answer:

The answer would be=

88 Inches!

Step-by-step explanation:

I hope you do well!

Answer: (a) 4

(b) 5

(c) 14

(d)

Class interval       Class mark

30 - 35                       [tex]\dfrac{35+30}{2}=32.5[/tex]

35 - 40                       [tex]\dfrac{35+40}{2}=37.5[/tex]

40 - 45                        [tex]\dfrac{40+45}{2}=42.5[/tex]

45 - 50                        [tex]\dfrac{45+50}{2}=47.5[/tex]

50 - 55                        [tex]\dfrac{50+55}{2}=52.5[/tex]

Step-by-step explanation:

The data of 40 persons is given as :

Weights (in kg)    Frequency

30 - 35                  6

35 - 40                   13

40 - 45                   14

45 - 50                   4

50 - 55                  3

(a)

Lower limit is the lowest number in a class interval .

So, is the lower limit of fourth-class interval (45 - 50) is 4.

(b)

Class size = Upper limit - lower limit

So, Class size of first class interval = 35-30=5

Thus , class size of each interval is 5. [ class size remains same]

(c)

Highest frequency in table = 14 which is corresponding to 40 - 45   .

Thus , 40 - 45  is the class interval has the highest frequency.

(d)

Class mark is the mid value of each class interval.

Class interval = [tex]\dfrac{(\text{Upper limit+Lower limit})}{2}[/tex]

Class interval       Class mark

30 - 35                       [tex]\dfrac{35+30}{2}=32.5[/tex]

35 - 40                       [tex]\dfrac{35+40}{2}=37.5[/tex]

40 - 45                        [tex]\dfrac{40+45}{2}=42.5[/tex]

45 - 50                        [tex]\dfrac{45+50}{2}=47.5[/tex]

50 - 55                        [tex]\dfrac{50+55}{2}=52.5[/tex]

Answer:

5x^4+14x^2+1

Step-by-step explanation:

Hope that helps