101 is 11% of what?

Answer:

400

Step-by-step explanation:

25(6+10)

25(16)

Answer:

12

Step-by-step explanation:

60(1/2)^30/13 = 12.118996

Based on the amount deposited, the compounding period, and the interest rate, the amount after 4 years would be $3,147.29

First we need to find the periodic interest as well as period of compounding.

= Interest / Number of periods

= 1.2% / 4

= 0.3%

= Number of years x 4

= 4 x 4

= 16 periods

= Amount x ( 1 + rate) ^ number of periods

= 3,000 x ( 1 + 0.3%) ¹⁶

= $3,147.29

In conclusion, the amount would be $3,147.29

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Answer:

Step-by-step explanation:

!od

7x=96

Answer:

1083

Step-by-step explanation:

The formula for the nth term of a sequence is a+(n - 1 )d, where a is the first term and d is the difference between each term. Here, a is -7 and d is 10 (terms go up by ten each time).

So, the nth term = -7+(n-1)10 = -7+10n-10 = 10n-17

So, the 110th term = 10(110)-17=1100-17=1083

Answer:

Hello' I think you forgot to add a picture

Answer: 2(5) + 11= 21$

Step-by-step explanation:

The side length of the the rectangular garden are 20 feet by 5 feet.

Let

s = side length of the square garden

l = length of the rectangular garden

w = width of the rectangular garden

From the problem statement,

area of the square garden = area of the rectangular garden

Since the area of a square is just the side length squared, we can write:

s² = l * w

We also know that the length of the rectangular garden is 10 feet longer than the side of the square garden, and that the width of the rectangular garden is 5 feet shorter than the side of the square garden. We can express them as:

l = s + 10

w = s - 5

Now we can substitute these expressions for l and w into our first equation:

s² = (s + 10) * (s - 5)

Expanding the right-hand side, we get:

s² = s² + 5s - 50

0 = 5s - 50

5s = 50

Dividing both sides by 5, we get:

s = 10

Since the side length of the square garden is 10 feet.

We can use this to find the dimensions of the rectangular garden:

l = s + 10 = 10 + 10 = 20

w = s - 5 = 10 - 5 = 5

So the dimensions of the rectangular garden are 20 feet by 5 feet.

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Answer:

(k-10h) (k+10h)

Step-by-step explanation:

k^2 - 100h^2

Rewriting as

k^2 - (10h)^2

We recognize this as the difference of squares

We know the difference of squares is factored as a^2 -b^2 = (a-b)(a+b)

(k-10h) (k+10h)

Answer:

(k-10h) (k+10h)

Step-by-step explanation:

Answer:   The total answers count 37 - it's 100%, so we to get a 1% value, divide 37 by 100 to get 0.37. Next- calculate the percentage of 31: divide 31 by 1% value (0.37), and you get 83.78% - it's your percentage grade.

Answer: Your going to have to correct your placing of your numbers.

-12 is value of b for equation 27x²+bx+8=0

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

Given,

One of the roots of the equation 27x² + bx + 8 =0 is known to be the square of the other.

We need to find the value of b.

Let one root is a and the other root is a².

(x-a)(x-a²)=0

x²-xa²-ax+a³=0

x²-x(a²+a)+a³=0

Now multiply by 2

x²-2x(a²+a)+2a³=0

x² + bx + 16=0

2a³=16

Divide both sides by 2

a³=8

a=2

27x²-2x(a²+a)+2a³=0

27x²-2x(4+2)+16=0

27x²-2x(6)+16=0

27x²-12x+16=0

b=-12

Hence, -12 is value of b for equation 27x²+bx+8=0

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Answer:

x = 65.26 degrees or x = 245.26 degrees.

Step-by-step explanation:

To solve the equation 4tan(x)-7=0 for 0<=x<360, we can first isolate the tangent term by adding 7 to both sides:

4tan(x) = 7

Then, we can divide both sides by 4 to get:

tan(x) = 7/4

Now, we need to find the values of x that satisfy this equation. We can use the inverse tangent function (also known as arctan or tan^-1) to do this. Taking the inverse tangent of both sides, we get:

x = tan^-1(7/4)

Using a calculator or a table of trigonometric values, we can find the value of arctan(7/4) to be approximately 65.26 degrees (remember to use the appropriate units, either degrees or radians).

However, we need to be careful here, because the tangent function has a period of 180 degrees (or pi radians), which means that it repeats every 180 degrees. Therefore, there are actually two solutions to this equation in the given domain of 0<=x<360: one in the first quadrant (0 to 90 degrees) and one in the third quadrant (180 to 270 degrees).

To find the solution in the first quadrant, we can simply use the value we just calculated:

x = 65.26 degrees (rounded to two decimal places)

To find the solution in the third quadrant, we can add 180 degrees to the first quadrant solution:

x = 65.26 + 180 = 245.26 degrees (rounded to two decimal places)

So the solutions to the equation 4tan(x)-7=0 for 0<=x<360 are:

x = 65.26 degrees or x = 245.26 degrees.

Answer:

I believe the answer is $36.50.

Step-by-step explanation:

First, I subtracted 55% of the original price of the t-shirt to the original price of the t-shirt. Then, I added 6% of the price to the discounted price of the t-shirt.

I believe this is right.

Answer:

d

Step-by-step explanation:

Volume is space inside something, like water in a fish tank

Explanation:

A perpendicular line will have the opposite and reciprocal slope.

The slope of the given line is -2.5, which can also be written as:

A perpendicular line will have a slope of:

Line A has this slope, so it's perpendicular.

Line B can be rewritten as:

This line is not perpendicular.

Line D can be rewritten as:

This line is perpendicular to the given line.

And line C has a slope of 2/5, so it's not perpendicular.

Answer:

Lines B and C are not perpendicular

Answer:

Area = 23.12 cm²

perimeter = 24.28 cm

Step-by-step explanation:

top shaded region is circular arc with 90° sector angle

so perimeter of arc is 90 / 360 * 2πr

here radius of arc is half the length of square side

r = 6.8/2 = 3.4

top area shaded perimeter = 90/360 * 2 * 3.14 * 3.4

= 1/4 * 2 * 3.14 * 3.4

= 5.338

bottom region perimeter is also same

total perimeter of shaded region is = side + side + two arcs

= 6.8 + 6.8 + 2 * 5.338

= 13.6 + 10.676

= 24.276

= 24.28

Area of top shaded region is 90/360 * πr²

A = 1/4 * 3.14 * 3.4²

= 9.0746

bottom shaded region area is half of area of square - area of bottom arc

= 6.8 * 3.4  - 9.0746

= 23.12 - 9.0746

= 14.0454

so total area of shaded region is 9.0746 + 14.0454

= 23.12

or you can just calculate area as half of area of total square = 6.8² / 2

= 23.12

Here, we are required to determine the number of ways by which Todd can choose 3 cards from 7 different baseball cards.

3 of these cards can be chosen from the 7 different baseball cards in 35 ways.

The mathematics of choosing/selecting is associated with Combinations.

Therefore, 3 cards can be chosen from 7 cards in:

⁷C3 = (7!)/(7-3)!×3! = 35.

Therefore, 3 of these cards can be chosen from the 7 different baseball cards in 35 ways.

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9514 1404 393

Answer:

  a, d

Step-by-step explanation:

We assume you want factors that use real integers.

a) 121x² +36y² . . . . cannot be factored using real numbers

b) (4x +4)(x +1) = 4(x +1)²

c) x(x² -4) = x(x -2)(x +2)

d) x⁴ -15n³ +12n² . . . . cannot be factored*

_____

* If the polynomial is n⁴ -15n³ +12n², then it factors as n²(n² -15n +12).

Answer:

its c on edge

Step-by-step explanation:

The pair that support Angle-Side-Angle Postulate (ASA) be used to prove that △ABC≅△XYZ is option B

Triangles are said to be congruent when the sides and angles equal in accordance to to the triangle congruency rules

examples of these rules are

The problem requires the prove by Angle - Side- Angle = ASA to ensure that the the triangles are congruent

The Angle - Side - Angle = ASA have it that the two triangles being compared should have their two angles and the included side being equal

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Answer:

Step-by-step explanation:

3-2 change in y = 1

3-0 change in x= 3

y=1/3x+ c

Answer:

Step-by-step explanation:

alternate interior angles

Answer:

the answer would be 2(2+11)

Step-by-step explanation:

Answer:

The right answer is A

Step-by-step explanation:

The value of the exponential equation is y = 3ˣ and the graph is plotted

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

y = 3ˣ   be equation (1)

Now , the y intercept of the equation is when x = 0

So , when x = 0

y = 3⁰

y = 1

Now , when y₁ = 3^1.2

The value of y₁ = 3.7

Therefore , the y intercept of the equation is 1 and the graph is plotted

Hence , the exponential equation is y = 3ˣ

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Answer:

I can't see them but whichever one is 157 is the correct angle

Step-by-step explanation:

Supplementary angles are angles that equal 180 degrees.

180 - 33 = 157

So whichever angle equals 157 degrees, that is the correct one

subtract the degree given from 180

Answer:

I believe it is A, B, and D.

Step-by-step explanation:

The garden club is planting fruit trees in their school's garden, and they have two types of trees: one large tree that needs a lot of fertilizer and several newly planted trees that need a much smaller amount of fertilizer. The large tree requires 5 pounds of fertilizer.

which is a significant amount compared to the smaller trees, which only need 0.5 pounds of fertilizer each.

The reason for the difference in fertilizer requirements is due to the size and age of the trees. The large tree is likely fully grown and mature, and therefore requires a substantial amount of fertilizer to support its growth and fruit production. The younger and smaller newly planted trees, on the other hand, need much less fertilizer since they are still growing and developing.

Providing the proper amount of fertilizer is crucial to ensuring healthy tree growth and fruit production, which is why the garden club is treating the larger tree differently than the smaller ones. By giving each tree the proper amount of fertilizer necessary for their growth stage, the garden club is helping ensure the success of their fruit tree planting project and ultimately helping to contribute to the schools' educational and environmental goals.

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Answer:

the two possible amounts of change are £3.01 and 39p.

Step-by-step explanation:

Let's start by finding the possible prices for the pie after the 24% tip has been added. We know that the total price must be an exact number of pence, which means that the price before the tip must have been a multiple of 25 (since there are 100 pence in a pound).

The possible prices before the tip, between £1.30 and £2.99, are:

£1.30 = 130p

£1.31 = 131p

...

£2.98 = 298p

£2.99 = 299p

To find the prices after the 24% tip, we multiply each of these values by 1.24:

130p * 1.24 = 161.2p = £1.612 = £1.61 (rounded to 2 decimal places)

131p * 1.24 = 162.44p = £1.6244 = £1.62

...

298p * 1.24 = 369.52p = £3.6952 = £3.70

299p * 1.24 = 370.76p = £3.7076 = £3.71

So the possible prices for the pie after the 24% tip are between £1.61 and £3.71.

Next, we need to find the possible amounts of change that would result from paying with a £5 note and receiving the fewest possible coins. We can do this by subtracting the total cost of the pie from £5 and seeing which combinations of coins add up to that amount.

Let's start with the lowest possible price for the pie, £1.61. If we add 24% to that, the total cost is £1.99 (rounded to 2 decimal places), which means our change is £3.01. The fewest possible coins we could receive for that amount are:

£2 coin

£1 coin

1p coin

So the first possible combination of change is:

£2 + £1 + 1p = £3.01

Now let's try the highest possible price for the pie, £3.71. If we add 24% to that, the total cost is £4.61, which means our change is 39p. The fewest possible coins we could receive for that amount are:

20p coin

10p coin

5p coin

2p coin

2p coin

So the second possible combination of change is:

20p + 10p + 5p + 2p + 2p = 39p

Therefore, the two possible amounts of change are £3.01 and 39p.