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Answer:

D.) the amount in the account increase by 4% each year

Step-by-step explanation:

Compound interest formula: P*(1+r/n)^(nt)

P=initial principal balance

r=interest rate

n=times applied per [time (eg year)]

t=number of time periods gone by

The expression: 2500(1.04)^x

The expression: 2500(1+1/25)^(nt)

1.04=1+1/25=increases by 4% each year

Answer:

Width = 8 feet

Length = 8 feet

Step-by-step explanation:

Carlos is extending hood backyard patio. Currently, the area of the patio is n²-16n+64.

Step

We find the Length and Width

This is done by factorising the area

Area = n² - 16n + 64 = 0

n² - 8n - 8n + 64 = 0

(n² - 8n)  - (8n +64) = 0

n(n - 8)  -8(n - 8) = 0

(n - 8) (n - 8) = 0

n - 8 = 0

n = 8

The length and width  = 8 feet

Step 2

New length and width by extension is calculated as:

Width = 8 feet + 2 feet = 10 feet

Length =  8 feet + 2 feet = 10 feet

Answer:

The probability of being dealt a spade is 13/52.

Step-by-step explanation:

Answer:

125 cm^3

Step-by-step explanation:

Find THE volume of this cube of side length 5 cm:

Volume of a cube is V = s^3, where s is the side length.  

Here, V = (5 cm)^3 = 125 cm^3

Answer:

248 cm^2

Step-by-step explanation:

in order to get the figures surface area you only need to find the area of all 6 sides

in this case the two ends are 4 by 6

the front and back are 10 by 6

and the top and bottom are 10 by 4

this would mean that we need to multiply

(4*6)*2

(10*6)*2

(10*4)*2

which would look like

(4*6)*2= (24)*2= 48

(10*6)*2= (60)*2=120

(10*4)*2= (40)*2=80

and finally the sum of the equations is the surface area of the figure

48+120+80=248

Answer:

B

Step-by-step explanation:

Answer:

∠1 = 51°   ∠2 = 39°

Step-by-step explanation:

ok since the picture is a right angle put it equal to 90

like this:

3x + x + 22 =90

4x + 22 = 90

4x = 68

x = 17

now we plug it in:

3(17)= 51°

(17) + 22 = 39°

*a straight line is equal to 180, a right angle is 90

does that make sense?

Answer:

( x− 2 ) ( x + 4 )

Step-by-step explanation:

Answer:

[tex] {x}^{2} + 2x - 8 \\ sum = 2 \: and \: product = - 8 \\ factors = 4 \: and \: - 2 \\ = > {x}^{2} + 4x - 2x - 8 \\ = x(x + 4) - 2(x + 4) \\ = (x - 2)(x + 4)[/tex]

Answer:

3.25 or 3 and 1/4

Step-by-step explanation:

The algebraic equation is 2x = 6.5.

Divide by 2 to get your answer.

6.5 divided by two is 3.25.

x = 3.25

Answer:

3.25

Step-by-step explanation:

just take away the 25 and multiply it that way

Plz give me brainllest

Maybe the range .........

Answer:

15 rows

Step-by-step explanation:

1515/99=15.30 simplify is 15

Answer:

angle 5 = 149°

angle 7 = 149°

Answer:

6 and 12

Explanation:

(b.) is under set A but not set B, meaning that all the elements there are multiples of 3 that are not odd numbers.

all the multiples of 3 that are less than 16: 3 6 9 12 15

all the multiples of 3 that are even numbers: 6 12

thus, the elements that go in (b.) are 6 and 12.

i hope this helps! :D

Answer

Let the first no. be 2x

second no. =x

third no. =2x/3

A/Q

2x+x+2x/3=132

11x/3=132

x=36.

Hence the second no. is 36

let the first number be x

then second number=30-x

3x-2(30-x)=60

3x-60+2x=60

x=60+60

x=120

Answer:

18

Step-by-step explanation:

The two angles are vertical angles which mean they are equal

2x = 36

Find x by dividing both sides by 2

X = 18

Answer:

C. Subtraction property of equality

Step-by-step explanation:

Answer:

it's NUMBER 4. 0.7

Step-by-step explanation:

sorry for caps

any combination would work out. the most common is x and y. or you may use f(x) and x.

Answer:

Square root of 18

4.7

square root of 24

square root of 36

7

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I just did the problem as homework

Y = 8000/1000= 8

Y= 8*20

Y= 160

Answer:

d) -2

Step-by-step explanation:

(-1 - 19)/(16 - 6)

-20/10 = -2

Answer:

"101" seems to the appropriate response. The further explanation is provided below.

Step-by-step explanation:

The given expression is:

⇒ [tex](7\times 6 )+(8\times 8)-5[/tex]

On solving the brackets, we get

⇒ [tex]42+64-5[/tex]

On applying addition, we get

⇒ [tex]106-5[/tex]

On applying subtraction, we get

⇒ [tex]101[/tex]

Answer:

$3

Step-by-step explanation:

3 dollars because

1 pound = 16 ounces

and 1 pound costs 1.5 dollars

if there are 32 ounces of broccoli, you divide the number of ounces by 16 and multiply that by 1.5

32/16 = 2 x 1.5 = 3

Answer:

$3.00

Step-by-step explanation:

Since 1 pound = 16 ounces and there are 32 ounces, by dividing 32/16 will equal to 2 pounds, hence $1.50 x 2 =$ 3.00

Answer:

1 / 30

Step-by-step explanation:

For a six - sided die :

Sample space = (1, 2, 3, 4, 5, 6)

P(rolling a 1) = required outcome / sample space = 1/6

Sample space for spinner = (A, B, C, D, E)

P(spinning A ) = required outcome / sample space = 1/5

P(spinning A) = 1 / 5

P(rolling a 1 and spinning A) = P(rolling a 1) * P(spinning A) = 1/6 * 1/5 = 1 / 30

Answer:

Step-by-step explanation:

-1/2(10 + 1/4)​

10+1/4 = 41/4

Since the denominator is 4, you multiply 10 by 4 to make it equivalent since 10 is a whole number and 1/4 is a fraction

-1/2(10.25)= -41/8 or 5.125