a teacher invested $600 in an account that paid 2% annual simple interest the teacher did not maker any additional deposits or withdrawals. What is the total amount of interest paid by this investment at the end of 3 years?

Answer:

6b + 2

Step-by-step explanation:

If Val is planting b seeds in one and 5b + 2 in the other, the expression showing the total is: b + (5b + 2) or 6b + 2 seeds.

Step-by-step explanation:

Given

[tex] = 27^{ \frac{1}{3} } \times 16^{ \frac{ - 1}{4} } \\ = {3}^{3 \times \frac{1}{3} } \times 2 {}^\frac{ - 1 \times 4}{4} \\ = 3 \times - 2 \\ = - 6[/tex]

Hope it will help :)❤

Answer:

9

Step-by-step explanation:

So the formula for a triangular pyramid is v=1/3bh

you plug in the values and you get 63=1/3(21)(h) and since you are finding the height, you get h=63*3/21

and then you check answers with

63=1/3(21)(9) which is true so the height is 9

Answer:

option 1

Step-by-step explanation:

do i need to?

Answer:

A teacher made a copy of a map. To make the map easier to see, the teacher enlarged the area of the map by 38%. Let d represent the area of the original map. The expression d + 0.38d is one way to represent the area of the new map. Write two expressions that represent the area of the new map.​

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Tₙ=n+5

T₅=5+5=10

Answer:

the second one I can't give a explanation cause my wrist is broken so it's harder to type hope this helps

Answer: the answer is  3

Step-by-step explanation:

This says to put " 3"  into 2x + 4 and then evaluate

So

2(3)  + 4  =

6 + 4  =

10

'x'  can be thought of as a "box" that contains some number.....in this case, the number is 3......!!!

Answer:

-10

Step-by-step explanation:

f(x) = 2x - 4

f(-3) = 2(-3) - 4

f(-3) = -6 - 4

f(-3) = -10

Answer:

Decreasing

Step-by-step explanation:

It is decreasing because it is being used.

Have a good day!!

Answer:

2,200,000 :) give brainliest

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Remember, area equals width x height so you can set up this equation.

[tex]48x^8y^7=6x^2y^4 * w[/tex]

Solving for w,

[tex]\frac{48x^8y^7}{6x^2y^4} =w[/tex]

Simplifying,

[tex]8x^6y^3[/tex]

Thus, D is the answer

Answer:

2(5) nd 28

Step-by-step explanation:

Answer:

2(5) 28 like the top person said

Step-by-step explanation:

Answer:

It would be {10, 16, 27}, {12, 27, 39}, {8, 22, 31} that DO NOT represent 3 sides of a triangle

Step-by-step explanation:

Since the only answer where the first 2 numbers is greater than the 3rd/last number is {14, 28, 39} (which makes it the only traingle), the others would ALL NOT be triangles.

Answer:

Options A, D

Step-by-step explanation:

The way that we will be checking if these 3 numbers can represent a triangle is by checking if a + b ≥ c.  That means that the first two sides have to be greater than or equal to the third side.

Step 1:  Determine if Option A is a triangle

10 + 16 = 26    <-    26 is less than 27 that means that it cannot form a triangle.

Step 2:  Determine if Option B is a triangle

14 + 28 = 42    <-    42 is greater than 39 which means that these three numbers can form a triangle.

Step 3:  Determine if Option C is a triangle

12 + 27 = 39    <-    39 is equal to 39 which means that these three numbers can form a right triangle.

Step 4:  Determine if Option D is a triangle

8 + 22 = 30    <-    30 is less than 31 meaning that these three numbers can't form a triangle.

Answer: Options A, D

Answer:

x=8

Step-by-step explanation:

63+90+2x+11=180

Answer:

B

Step-by-step explanation:

Add 63 and 90 to find the left angle. Then subtract by 180.

Since that answer is 27, add it to 90 and subtract by 180 to find the last angle in the middle. then finally the angle in the corner should equal 27 since the triangles are congruent.

Answer:

A) 18

B)9

C)-2

Step-by-step explanation:

Replace the a,b or c with the give number. So let’s say it’s says 2 + a. It would be 2+3.

Answer:

5 miles thank me later

Step-by-step explanation:

Answer:

4.6cm

Step-by-step explanation:

Answer:

608 ft²

Step-by-step explanation:

1) Find the area of the bases

[tex]A=\frac{1}{2} bh[/tex] where b is the base length and h is the height

Plug in b and h

[tex]A=\frac{1}{2} (12)(8)\\A=48[/tex]

Multiply the answer by 2 (because there are 2 bases)

A=96

Therefore, the area of the two bases is 96 ft².

2) Find the area of the two sides facing up

[tex]A=lw[/tex] where l is the length and w is the width

Plug in l and w

[tex]A=10*16\\A=160[/tex]

Multiply the answer by 2 (because there are 2 sides)

A=320

Therefore, the area of these two sides is 320 ft².

3) Find the area of the bottom side

[tex]A=lw[/tex] where l is the length and w is the width

Plug in l and w

[tex]A=12*16\\A=192[/tex]

Therefore, the area of this side is 192 ft².

4) Add all the areas together

96 ft² + 320 ft² + 192 ft²

= 608 ft²

Therefore, the surface area of the triangular prism is 608 ft².

I hope this helps!

Answer:

608

Step-by-step explanation:

first off you have to find the area of the base

the base is 16 by 12 feet.

so you multiply them and you get

16*12=192 you will have to come back later for this number

next, you find the two outsides of the triangular prism.

they are 10 by 16

10*16=160 and there are two of them so you double it and get 320

now save the 320 too with the 192

now we are going to find the triangles

the formula for an area of a triangle is A=1/2h*w

so we plug in the height which is 8 and the width which is 12

A=1/2(8)*(12)

Simplify

A=48 once again there are two of them so we double it to make it 96

now take all your saved numbers and add them all up

96+320+192

this should give you an answer of 608

hope this helps! have a nice day:)

Answer:

The x=2 is the correct option.

Step-by-step explanation:

when we have 4x which means 4*x +4 so the side seems small when we multipy and add we get the smaller number as.. 12 but, other number take so big...

Answer:

2 + x

2 + (x)

x + (2)

Step-by-step explanation:

Switch them around.

Answer:

[tex]Average\ Rate = \frac{104}{3}[/tex]

Step-by-step explanation:

Given

See attachment for table

Required

Determine the average rate of change over: 4≤x≤7.

Average rate of change is calculated as:

[tex]Average\ Rate = \frac{f(b) - f(a)}{b - a}[/tex]

Where:

[tex]a=4[/tex]

[tex]b = 7[/tex]

So:

[tex]Average\ Rate = \frac{f(b) - f(a)}{b - a}[/tex]

[tex]Average\ Rate = \frac{f(7) - f(4)}{7 - 4}[/tex]

[tex]Average\ Rate = \frac{f(7) - f(4)}{3}[/tex]

From that table:

f(4) =

f(7) =

So:

[tex]Average\ Rate = \frac{f(7) - f(4)}{3}[/tex]

[tex]Average\ Rate = \frac{108-4}{3}[/tex]

[tex]Average\ Rate = \frac{104}{3}[/tex]

Answer:

x=2

Step-by-step explanation:

Primero, necesitamos calcular <<a>>

Sabemos que AD=BC y AB=CD porque lados opuestos congruentes

Entonces, vamos a calcular <<a>>.

Usamos AD y BC

2a-1=4a-15

suma 15 a ambos lados

2a+14=4

añada 2 en ambos lados

14=2a

divida

7=a

Ahora, usamos esta información para calcular <<x>>

Usamos CD=AB

2a-8=4x-2

pero sabemos que <<a>> es 7

entonces:

14-8=4x-2

6=4x-2

8=4x

2=x

<<x>> es 2

(¡lo siento mi español no es perfecto!

Answer:

[tex]n^{3} + 15n^{2} + 56n[/tex]

Step-by-step explanation:

First FOIL  (n + 7)(n + 8) and then distribute n

(n + 7)(n + 8) = [tex]n^{2} +15n + 56[/tex]

 n ([tex]n^{2} +15n + 56[/tex])

= [tex]n^{3} + 15n^{2} + 56n[/tex]

Answer: she has been home 68 mins so one hour and 8 mins

Answer:

1 hour and 40 minutes.

Step-by-step explanation: Just add them all up and then convert them into hours and minutes.

Answer:

option B

Step-by-step explanation:

Answer:

the answer is d (the last one).

pq= -10 x 4= -40 (lowest value)

p-q= -10 - 4= -14 (middle value)

p+q= -10 + 4= -6 ( highest value)

Answer:

36

Step-by-step explanation:

angle ACB = 180-130=50 degree

angle ABC = 180 - (94+50)

                  = 180-144

                  = 36

Answer:

$250.8

Step-by-step explanation:

13.4 = $2.85

13.4 x 15 = 111.0

111.0 = $42.75

111.0 x 6 = 666.0

666.0 - 26.0 = 640.0

$42.75 x 6 = $256.5

$2.85 x 2 = $5.07

$256.5 - $5.07 = $250.8

not gona lie this took forever lol

Hope this helps if so don't hesitate to 'Thanks' and/or 'brainliest' this answer!

The total cost of 640 liters of gas is $35.91.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, Gas from a local station costs $2.85 per gallon (in US dollars).

We know that, 1 gallon = 3.785 liters

Tara's car gets 13.4 kilometers to the liter.

Number of liters of gas = 640/13.4

= 47.76 liters

Number of gallons = 47.76/3.785

= 12.6 gallons

Total cost = 12.6×2.85

= $35.91

Therefore, the total cost of 640 liters of gas is $35.91.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ2

Answer:

M(t) = 6.7 * 10⁷ (67 million)

Minutes (t) =55

Step-by-step explanation:

1. Write an exponential equation that represents M, the total number of bacterial microbes in millions, as a function of t, the number of minutes the sample has been observed.

For answering this question, we will use the following formula:

M(t) = B₀ * g ^(t/m), where:

•M(t) represents the total number of bacterial microbes in millions.

• B₀ represents the initial population of bacteria in millions.

• g represents the growth factor.

• t represents the total number of minutes we will observe the bacteria growing.

• m represents the time in minutes it takes to the growth factor g to occur.

2. Then, determine how much time, to the nearest minute, will pass until there are 67 million bacterial microbes.

M(t) = B₀ * g ^(t/m)

Replacing with the values we know:

6.7 * 10⁷ = 10⁷ * 2 ^(t/20)

6.7 = 2 ^(t/20) (Dividing by 10⁷ at both sides)

ln 6.7 = ln 2 ^(t/20)

ln 6.7 = t/20 ln 2

ln 6.7/ ln 2 = t/20

t = ln 6.7/ln 2 * 20

t = 2.74 * 20

t = 54.88

t ≅ 55 (rounding to the nearest minute)