Suppose you deposited $400 in a savings account 2 years ago. The simple interest rate is 2.8%. The
interest that you earned in those 2 years is $22.40.
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Answer:

a = 18 ft is the answer.

Step-by-step explanation:

a = ?

b = 24 ft

c = 30 ft

According to the Pythagoras theorem,

a² + b² = c²

a² + 576 = 900

a² = 900 - 576

a² = 324

a = 18 ft

∴ a = 18 ft is the length of the missing leg.

Answer:

18 feet

Step-by-step explanation:

The Pythagorean theorem is a formula that can be used to find the unknown side length of a right triangle when given the length of the other two sides. The general formula for the Pythagorean theorem is the following,

[tex]a^2 + b^2 = c^2[/tex]

Where (a) and (b) are the legs of the right triangle, or rather the sides adjacent to the right angle of the right triangle. Additionally, (c) is the hypotenuse or the side opposite the right angle of the right triangle.

Substitute in the given values and solve, let parameter (a) represent the unknown side of the triangle,

[tex]a^2 + b^2 = c^2\\[/tex]

Substitute,

[tex](24)^2 + a^2 = (30)^2\\[/tex]

Simplify,

[tex]576 + a^2 = 900[/tex]

Inverse operations,

[tex]576 + a^2 = 900\\-576\\\\a^2 = 324\\\sqrt{}\\\\a = 18[/tex]

Answer:

D

Step-by-step explanation:

Hello There!

In order for a relationship to be proportional it must follow these requirements:

Knowing this let us now look at each relationship

The first one indeed has a constant rate of change

However it has a y intercept of (1,0) so it doesn't go through the origin therefore it is not a proportional relationship

For B:

B is not a proportional relationship because it does not have a constant rate nor can we tell if it goes through he origin

The y value first adds by 7 then by 9 then by 6. (while the x value goes up 1)

in a constant rate of change relationship the slope is constant and goes up by a certain amount each time therefore relation b is not proportional

For C:

Like relation A it has a constant rate of change but its not put in y = kx form and has a y intercept. Because of this it is not considered a proportional relationship

For D:

Relation D happens to have a constant rate of change (as it has a vertical straight line). It also happens to pass through the origin (0,0)

The relation fulfills each requirement therefore D is your answer

Answer:

C.

Step-by-step explanation:

Answer:

This is invertible

Step-by-step explanation:

pls give brainliest!

have a great day!

9514 1404 393

Answer:

  2

Step-by-step explanation:

The solution to the inequality is ...

  10 < -x +13

  x < 3 . . . . . . . add x-10 to both sides

The additional restriction that x is positive makes this ...

  0 < x < 3

The only integer solutions to this are x = 1 and x = 2.

There are two (2) positive integer values of x that are solutions.

Answer:

2

Step-by-step explanation:

We first solve the inequality:

10 < -x + 13

-3 < -x

3 > x.

The only positive integers less than 3 are 1 and 2, for a total of 2 solutions.

Answer:

[tex]25\sqrt{3}=43.3\ \mathrm{units}[/tex]

Step-by-step explanation:

Area of a triangle = [tex]\frac{1}{2}ab\textrm{sin}(\theta)[/tex] where [tex]a[/tex] and [tex]b[/tex] are the sides of the triangle and [tex]\theta[/tex] is the angle between those two sides.

The side length are 10, and since its an equilateral triangle, the angle is 60 degrees. Thus, the area becomes [tex]\frac{1}{2}(10)(10)\textrm{sin}(60)=25\sqrt{3}=43.3\ \mathrm{units}[/tex]

Answer:

7x+14=0, 7x=-14, x= -2

Step-by-step explanation:

add like terms, then get x on one side, number on the other, then divide both sides by 7

Answer:

The answer is (D) y < 4

Answer:

D. y < 4 im pretty sure sorry if its wrong..

Answer:

0.125

Step-by-step explanation:

0.5 x 0.5 x 0.5 = 0.125

Answer:

10.5

Step-by-step explanation:

I believe the graph is saying there is 6 glasses that have exactly 1¾ tablespoons. Therefore, you do 6 × 1¾ and get 10.5 or 10 ½ tablespoons

the answer is  " 10.5 "

Answer:

D. 160

Step-by-step explanation:

This question can be solved by proportions, using a rule of three.

In this question:

For each 3 white carnations, 5 yellows are needed, which leaves us with 8 total carnations. So for 60 white, the total is:

3 white - 8 total

60 white - x total

So

[tex]3x = 60*8[/tex]

Dividing both sides by 3

[tex]x = 20*8 = 160[/tex]

The correct answer is given by option D.

Answer:

6 students are wearing shirts that aren't blue or white

Step-by-step explanation:

1/6 + 2/3 = 5/6  

5/6 are wearing either blue or white so 1/6 isn't wearing blue or white

there are 36 student and 1/6 means 36 divided by 6

36 divided by 6 = 6

Answer:

I don't see the triangle...

Answer:

3) Not equivalent

4) Equivalent x 2

5) Equivalent x 2

Make sure to multiply or reduce to the lowest terms to see if they are the same or not the same.

Answer:

The point estimate of the population mean is 164.7

Step-by-step explanation:

Given

[tex]n =10[/tex]

[tex]Data: 151\ 164\ 146\ 143\ 167\ 188\ 190\ 180\ 170\ 148[/tex]

Required

The point estimate of the mean

To do this, we simply calculate the sample mean using;

[tex]\bar x =\frac{\sum x}{n}[/tex]

[tex]\bar x =\frac{151 +164 +146 +143 +167 +188 +190 +180+170 +148}{10}[/tex]

[tex]\bar x =\frac{1647}{10}[/tex]

[tex]\bar x =164.7[/tex]

Answer:

15 weeks

Step-by-step explanation:

I just answered this one not too long ago

It will take 15 weeks for Emanuel to lose at most 251 pounds.

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

For example, 3x + 5 = 15.

Given that, Emanuel is trying to lose weight, he starts 2017 weighing 296 pounds.

If he plans to burn enough calories to lose 3 pounds per week,

We need to find that how many weeks will pass before Emanuel is at most 251 pounds,

So, let the number of weeks be x,

We will use here the concept of equations solving,

So, establishing the equations,

296 - 3x = 251

296 - 251 = 3x

45 = 3x

x = 15

Hence, it will take 15 weeks for Emanuel to lose at most 251 pounds.

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Answer:

a common factor 4 and 6 have is 12. we can change this to get it to 12.

¼->3/12

⅚-> 10/12

add the new fractions together

3/12+10/12=13/12 or 1 and 1/12

The required answer is  1 1/12 as a mixed number when adding the fraction 1/4 + 5/6.

A fraction is defined as a numerical representation of a part of a whole that represents a rational number.

The fractions are given in the question

1/4 and 5/6

We have to determine the addition operation,

⇒ 1/4 + 5/6

Take the LCM in the terms of fractions

⇒ 13/12

Convert the fraction to a mixed number by using long division to find the quotient and remainder

⇒ 13 ÷ 12 = 1 R1

The quotient will be the whole number in the fraction, and the remainder will be the numerator in the mixed number

⇒ 1 1/12

Therefore, the required answer is  1 1/12 as a mixed number.

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Answer:

The original cost of the pizza before the discount coupon and the tax was $49.28.

Step-by-step explanation:

Given that Heather paid $ 37.50 for a pizza to be delivered to her house, and she had a coupon for 30% off and there is a tax of 8%, to determine what was the total cost of the pizza to be delivered, the following calculation has to be done:

100 - 8 = 92

100 = 37.50

92 = X

92 x 37.50 / 100 = X

34.50 = X

100 - 30 = 70

70 = 34.50

100 = X

100 x 34.50 / 70 = X

49.28 = X

Thus, the original cost of the pizza before the discount coupon and the tax was $ 49.28.

Answer:

a. Find the multiples of 4 and 12 in the 30 to 40 range:

4 ⇒ 32, 36, 40

12 ⇒ 36

Answer = 36

b. Divisors of 24 ⇒ 2, 3, 4, 6, 8, 12, 24

Answer = 3

3 is the only odd divisor.

c. Gcd = Greatest common divisor that isn't zero.

35 divisors ⇒ 1, 5, 7, 35

42 divisors ⇒ 1, 2, 3, 6, 7, 14, 21, 42

Answer = 7

d. 98 divisors ⇒ 1,2,7,14,49,98

99 divisors ⇒ 1,3,9,11,33,99

Answer = 1

e. Answer = 25.

A number's greatest divisor is its own self.

Answer:

240 inches cubed

I see you have 4 mins left

Answer: x > 4

x > 4 would look like that on the graph. If it was x is greater than or equal to 4, then the circle would be completely filled in. Hope this helped!

Answer:

2:21 pm

Step-by-step explanation:

Finished 4:12

He spent 1 hour and 33

4:12 - 1 hour 33

minus the hour

3:12

minus 33

12-33

2:21pm

Answer:

no por que 1/3 es menor que 4

Step-by-step explanation:

Answer:

Diameter = 47.99

Step-by-step explanation:

A circle with an area of 1,808.64 square meters, rounded to the nearest meter and the diameter = 47.99.

We have to determine

The diameter of a circle with an area of 1,808.64 square meters, rounded to the nearest meter.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre. Equivalently, it is the curve traced out by a point that moves in a plane so that its distance from a given point is constant.

Therefore we get the value of the diameter is = 47.99 meters.

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Answer: B

Step-by-step explanation:

Answer:

municipal government.

Step-by-step explanation:

Answer/Step-by-step explanation:

3x(x-2)(2x2+1)-6(x+3

ANSWER:

-12x^3 - 21x^2 - 12x - 18

Answer:

4+ [tex]\frac{1}{2}[/tex]x = 3

Step-by-step explanation:

4 + [tex]\frac{1}{2}[/tex]x = 3 (subtract 4 from both sides)

[tex]\frac{1}{2}[/tex]x = -1 (multiply both sides by 2)

x = -2

Answer:

4+ 1/2 x = 3

Step-by-step explanation:

X =-2

Answer:

-1/3 - 1/4

First, make common denominators

-4/12 - 3/12

Then subtract the numerators

- 7/12

Answer:

C

Step-by-step explanation:

It is where the two lines intersect, which is the answer

Answer: C

Step-by-step explanation: Point C is where the two lines intersect. This means there is a point where both x's share a value and both y's share a value.