Last year, Abdul opened an investment account with $8600. At the end of the year, the amount in the account had decreased by 7.5%. How much is this decrease in dollars? How much money was in his account at the end of last year?

Answer:

y = x + 2

Step-by-step explanation:

m is the slope (gradient), 12 is the x-coordinate of the point, 14 is the y-coordinate of the point.

y - y1 = m (x - x2)

y - 14 + 1 (x - 12)

y - 14 = x - 12

y = x -12 + 14

y = x + 2

Solution:

2b would be the greatest common factor (GCF) between both 10b^3 and 4b.

Hope this helps!

(f/g)(-5) is equal to 1/4, and the value -1 is not in the domain of f/g.

To find (f/g)(-5), we need to substitute -5 into the functions f(x) and g(x) and then divide f(-5) by g(-5).

Given:

f(x) = (4+x)(6+x)

g(x) = 1+x

Substituting -5 into the functions:

f(-5) = (4+(-5))(6+(-5)) = (-1)(1) = -1

g(-5) = 1+(-5) = -4

Now, we can calculate (f/g)(-5):

(f/g)(-5) = f(-5) / g(-5) = -1 / -4 = 1/4

Therefore, (f/g)(-5) equals 1/4.

Now let's determine the values that are not in the domain of f/g. The values that are not in the domain of f/g are the values that make the denominator g(x) equal to zero. In this case, the denominator is g(x) = 1+x.

To find the values that make the denominator zero, we solve the equation:

1 + x = 0

Subtracting 1 from both sides, we get:

x = -1

So, the value x = -1 is not in the domain of f/g because it would make the denominator equal to zero.

for such more question on domain

https://brainly.com/question/16444481

#SPJ8

\(\stackrel{\textit{one added to the }\sqrt{\qquad }}{1+\sqrt{\quad }}~~,~~ \stackrel{\sqrt{~~}\textit{ of a number and one}}{\sqrt{x+1}}\implies 1+\sqrt{x+1}\stackrel{\textit{equals}}{=}4 \\\\\\ \sqrt{x+1}=3\implies \left( \sqrt{x+1} \right)^2=3^2\implies x+1=9\implies \boxed{x=8}\)

16/2 = 8

8+8 = 16

the answer is 8

Answer:

8

Step-by-step explanation:

2a=16

a=16÷2=8

________

Answer:

The temperature has to be inversely proportional to the time therefore the solution will be:

60minutes/200degrees=x/350degrees

200x/200=21000/200

x=105minutes

I hope this helps

Answer:

105 minutes.

Step-by-step explanation:

As 200 degrees is less than 350 it will take longer at 200.

By proportion that would be (350/200) * 60

= 60 * 7/4

= 105 minutes.

To determine the volume of a cylinder you can use the following formula:

where h is the height, and r is the radius of the cylinder.

Substituting:

in the formula, you get:

Finally, you get:

Answer:

(x + 5)

Step-by-step explanation:

(x² - 25) ÷ (x-5)

=(x² - 5²) ÷ (x-5)

Using the formula a² - b² = (a + b)(a - b) you get

= (x + 5)(x - 5) ÷ (x - 5)

With division you can cut both (x - 5)

So the answer is (x + 5)

Answer:

The answer is C

Step-by-step explanation:

Answer:

7 hours, 22 minutes

Step-by-step explanation:

17:00 (5:00) - 10:00 = 7 hours apart

43 - 21 = 22 minutes

To make sure the flip is in unison after 4  seconds should the flip occur, as given by option C: 4 seconds.

We have given that,

Two gymnasts are running toward each other in a floor routine, and they plan to precisely time a flip to stay synchronized for the audience.

Synchronized motion is a motion of two or more system which goes in synchronization with each other.

For this case, the flip will occur such that both gymnasts are synchronized and the flip is in unison (simultaneous).

For that, we need the time(x) and the height (y) same.

Since the motion paths are:

\(y=-(x-5)^2+3\)

\(y=-3(x-3)^2+x+1\)

Therefore, we need to find the values of x for which the same y comes as output.

Let x =  t be the time for which the height y is the same, then:

\(-(t-5)^2+3=-3(t-3)^2+t+1\) = height achieved by both gymnasts.

Solving it further:

\(-(t-5)^2+3=-3(t-3)^2+t+1\)

t=4,t=1/2

Assuming they planned to do a flip after an integral number of time in seconds, the correct option is t = 4 seconds.

Thus, to make sure the flip is in unison after 4  seconds should the flip occur, as given by the option C: 4 seconds.

Learn more about solving a system of equations here:

brainly.com/question/2825832

#SPJ1

Answer:

15

Step-by-step explanation:

180-15

Hello!

the sum of the angles in the triangle = 180°

so the 3rd angle = 180° - 165° = 15°

Answer:

EF = 19

Step-by-step explanation:

EF = (23 + 15)/2 = 19

PartA

If x represents the price per pound of grapefruit, and y the price per pound of orange, then, based on the given information, you have the following system of equations:

2x + 3y = 7.20 (what Steve bought)

4x + 2y = 8.80 (what Kennedy bought)

PartB

In this case, it is necessary to solve the system of equations. Proceed as follow:

Multiply the first equation of the system by -2, sum the result to the second equation of the system, and solve for y:

(2x + 3y = 7.20)(-2)

-4x - 6y = -14.40

-4x - 6y = -14.40

4x + 2y = 8.80

-4y = -5.60

y = 5.60/4

y = 1.40

Next, replace the previous value of y into any of the equations of the system and solve for x:

2x + 3y = 7.20

2x + 3(1.40) = 7.20

2x + 4.20 = 7.20

2x = 7.20 - 4.20

2x = 3.20

x = 3.20/2

x = 1.60

Hence, the price per pound for grapefruits and oranges is, respectively, $1.60 and $1.40

Answer:29

Step-by-step explanation:

step 1: \(a^{2}\)+\(b^{2}\)=\(c^{2}\)

= \(21^{2}\)+\(20^{2}\)=841

step 2: \(\sqrt{841\)=29

Step-by-step explanation:

Since both are right triangles, we can use Pythagoras

\( {a}^{2} + {b}^{2} = {c}^{2} \)

For the first one:

\( {3}^{2} + {10}^{2} = {c}^{2} \)

\(9 + 100 = \sqrt{109 } = 10.4\)

For the second one:

\( {20}^{2} + {21}^{2} = {c}^{2} \)

\(400 + 441 = \sqrt{841} = 29\)

Answer:

Step-by-step explanation:

cos47=80/x

x=80/0.6820

x=117.3020 feet

Answer:

55M

Step-by-step explanation:

Answer:

It might be 14.6

Step-by-step explanation:

nDont put this as the answer, I really dont know if its correct.

The biscuits should be placed 2.54 centimeters apart on the baking tray.

The unitary method is a way for solving a problem by the first value of a single unit and than finding the value by multiplying the single unit. Unitary method is a technique by which we can find the value of a single value from the value of more than one devices and the value of more than one unit from the value of a single unit. We can this method use for most of the calculations in math.

We are given that;

Elana must roll the dough into 7 inch rounds.

a) To convert this measurement to centimeters, we can use the conversion factor 1 inch = 2.54 centimeters. Therefore, 7 inches is equal to:

7 inches x 2.54 centimeters/inch = 17.78 centimeters

So, Elana must roll the dough into 17.78 centimeter rounds.

b) To rewrite all the ingredients using grams or milliliters, we need to know the density of each ingredient. Assuming that the density of each ingredient is the same as that of all-purpose flour (which is approximately 125 grams per cup), we can convert the measurements as follows:

1 cup flour = 125 grams flour

1/2 cup sugar = 100 grams sugar

2 teaspoons baking powder = 10 grams baking powder

1 teaspoon salt = 5 grams salt

1/2 cup cream = 120 milliliters cream (assuming a density of 1 gram per milliliter)

So, the rewritten ingredients are:

125 grams flour

100 grams sugar

10 grams baking powder

5 grams salt

120 milliliters cream

c) The recipe states that the oven should be preheated to 350 °F. To convert this temperature to Celsius, we can use the formula:

Celsius = (Fahrenheit - 32) x 5/9

So, the temperature in Celsius is:

Celsius = (350 - 32) x 5/9 = 176.67 °C

Therefore, Elana should heat the oven to 176.67 °C.

d) The recipe states that the biscuits should be placed on the baking tray 1 inch apart. To convert this measurement to centimeters, we can use the conversion factor 1 inch = 2.54 centimeters. Therefore, the biscuits should be placed on the baking tray:

1 inch x 2.54 centimeters/inch = 2.54 centimeters

Therefore, by unitary method answer will be 2.54 centimeters.

To learn more about the unitary method, visit;

https://brainly.com/question/23423168

#SPJ9

The surface area of the prism is 744 cm², the volume of the prism is 624 cm³.

Given:

- Height of the regular quadrilateral prism (h) = 13 cm

- Lateral area of the prism (AL) = 624 cm²

1. Surface Area:

To find the surface area, we need to calculate the area of the two bases and the lateral area of the prism.

The area of each base can be found by dividing the lateral area by the height: A = AL / h = 624 cm² / 13 cm = 48 cm².

Since there are two identical bases, the total base area is 2 times the area of one base, so the total base area is 2 * 48 cm² = 96 cm².

To calculate the surface area, we add the area of the two bases to the lateral area: Surface Area = 2A + AL = 2 * 48 cm² + 624 cm² = 120 cm² + 624 cm² = 744 cm².

Therefore, the surface area of the prism is 744 cm².

2. Volume:

The volume of the prism can be found by multiplying the base area by the height: Volume = A * h = 48 cm² * 13 cm = 624 cm³.

Therefore, the volume of the prism is 624 cm³.

To more on geometry:
https://brainly.com/question/24375372
#SPJ8

The perimeter of the figure with side length of 5 units is 50 units

From the question, we have the following parameters that can be used in our computation:

Shape = rectangle

Smaller shapes = squares

Side lengths = 5 units

The perimeter of the figure is calculated as

Perimeter  = Number of visible sides * Side length of the square shape

In this case, we have

Number of visible sides = 10

Substitute the known values in the above equation, so, we have the following representation

Perimeter  = 10 * 5

Evaluate the products

Perimeter  = 50 units

Hence, the perimeter is 50 units

Read more about perimeter at

https://brainly.com/question/18019422

#SPJ1

Answer:

it is proportional cause it follows a pattern

Step-by-step explanation:

can i have brainliest?

how is your day going my luv

Answer:

D

Step-by-step explanation:

since the x- coordinates of both points are 7 then the points lie on a vertical line.

the distance is then the absolute value of the difference of the y- coordinates, that is

distance = | - 22 - 12 | = | - 34 | = | 34 | = 34 units

or

distance = | 12 - (- 22) | = | 12 + 22 | = | 34 | = 34 units

Answer:

the vertical distance between (7, –22) to (7, 12) is 10 units

Answer:

30.77%

Step-by-step explanation:

45 divided by 65 is 0.6923076923076923 (Rounded to 2 digits is 0.69). Multiply this by a hundred to get a percentage (69.23). We need to find those who didn't order hot sauce so we subtract 100-69.23 to get the answer 30.775.

The correct option for the expression (5 + 9) + 10 showing the associative property is  5+ (9 + 10) = 5 + 19 = 24

The associative property of addition states that the sum of three or more numbers remains the same regardless of how the numbers are grouped.

Given that, an expression, (5 + 9) + 10

According to associative property of addition, (a+b)+c = a+(b+c)

Therefore,

(5 + 9) + 10 = 5+(9+10)

= 5+19

= 24

Hence, the correct option for the expression (5 + 9) + 10 showing the associative property is  5+ (9 + 10) = 5 + 19 = 24

Learn more about associative property, click;

https://brainly.com/question/30111262

#SPJ1

The simplified form of -20/2(7 2/3) is -230/3.

To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.

First, let's convert the mixed number 7 2/3 to an improper fraction.

7 2/3 = (7 * 3 + 2) / 3 = 23/3

Now, let's substitute the value back into the expression:

-20/2 * (23/3)

Next, we simplify the multiplication:

-10 * (23/3)

To multiply a fraction by a whole number, we multiply the numerator by the whole number:

-10 * 23 / 3

Now, we perform the multiplication:

-230 / 3

Therefore, the simplified form of -20/2(7 2/3) is -230/3.

​for such more question on simplified form

https://brainly.com/question/11680269

#SPJ8

1. Number of athletes did not own any of the three items = 259 - 228

= 31.

2. Number of athletes own a convertible and a TV but not a store = 44 - 9

= 35.

3. Number of athletes own a convertible or a TV = 110 + 91 - 44

= 157.

4. Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.

5. Number of athletes owned at least one type of item = 259 - 31

= 228

6. Number of athletes own a TV or a store, but not a convertible = 13 + 34 +71

= 118.

The number of athletes did not own any of the three items need to subtract the number of athletes who own at least one item from the total number of athletes surveyed.

Total number of athletes surveyed = 259

Number of athletes own at least one item = 110 + 91 + 120 - 15 - 43 - 44 + 9 = 228

Number of athletes who did not own any of the three items = 259 - 228 = 31.

The number of athletes who owned a convertible and a TV but not a store need to subtract the number of athletes who own all three items from the number of athletes who own a convertible and a TV.

Number of athletes who own a convertible and a TV = 44

Number of athletes who own all three items = 9

Number of athletes who own a convertible and a TV but not a store = 44 - 9 = 35

The number of athletes who owned a convertible, or a TV need to add the number of athletes who own a convertible to the number of athletes who own a TV and then subtract the number of athletes own both a convertible and a TV.

Number of athletes who own a convertible or a TV = 110 + 91 - 44

= 157.

The number of athletes owned exactly one type of item need to add up the number of athletes who own a convertible only the number of athletes own a TV only and the number of athletes who own a store only.

Number of athletes own a convertible only = 110 - 15 - 9 = 86

Number of athletes own a TV only = 91 - 44 - 9 = 38

Number of athletes own a store only = 120 - 15 - 43 - 9 = 53

Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.

The number of athletes who owned at least one type of item can use the result from part (1).

Number of athletes who owned at least one type of item = 259 - 31

= 228

The number of athletes who owned a TV or a store but not a convertible need to subtract the number of athletes who own all three items, and the number of athletes own a convertible and a TV from the number of athletes own a TV or a store.

Number of athletes own a TV or a store = 91 + 120 - 43 - 9 = 159

Number of athletes own a TV or a store not a convertible = 13 + 34 +71

= 118.

For similar questions on athletes

https://brainly.com/question/25631156

#SPJ11

Answer:

The domain is { -5,1,8,11}

Step-by-step explanation:

The domain is the input to the function

In this case, it is the x values of the ordered pairs

The domain is { -5,1,8,11}