Calculate the future value of $51,123.21

Answer:

A

Step-by-step explanation:

all sides of square is 90degrees

Since AC and BD is the same, when you join the lines together, it will definitely be a square

Answer:

No more than ≥

Not under ≤

No less than ≤

maximum ≥

Greater than or equal to ≥

Less than or equal to ≤

Does not exceed ≥

At most ≥

At least ≤

Minimum ≤

Answer:

[tex]\boxed{Option \ 2}[/tex]

Step-by-step explanation:

[tex]6*10^8\\=> 600000000[/tex]

[tex]3*10^6\\=> 3000000[/tex]

Dividing both

=> 600000000 ÷ 3000000

=> 200

So,

[tex]6*10^8[/tex] is 200 times larger than [tex]3* 10^6[/tex]

Answer:

[tex]\boxed{\mathrm{Option \: 2}}[/tex]

Step-by-step explanation:

[tex]6 \times 10^8 = 600000000[/tex]

[tex]3 \times 10^6 =3000000[/tex]

[tex]\frac{600000000}{3000000} =200[/tex]

6 × 10⁸ is 200 times larger than 3 × 10⁶.

Answer:

Step-by-step explanation:

people in building ---- x

children --- y

men + women + children = x

(3/7)x + (5/8)(4/7)x + y = x

3x/7 + 5x/14 + y = x

times 14

6x + 5x + 14y = 14x

14y = 3x

y + 220 =x

sub into the other one

14y = 3(y+220)

11y = 660

y = 60

then 14(60) = 3x ---> x = 280

So we have 280 people in the building.

check: 3/7 of 280 are men = 120

leaving 160 women and children

5/8 of these ot 100 are women

so we have 120 men, 100 women and 60 children!

Answer:

171

Step-by-step explanation:

If five test scores have a mean of 90, then the total 5x90=450.  We already have the middle score (91) and the two top scores (94 and 94).  So the equation is 450-91-94-94=171

Answer: 12

Step-by-step explanation:

Order requirement:

Size ; flavor and topping

Available variety:

Size = 2

Flavor = 1

Toppings = 6

Number of different ice-cream desserts which can be ordered :

Since one of each of size, topping and flavor must be selected :

(Number of available flavors * number of Toppings available * number of sizes available)

1 * 6 different Toppings = 6 varieties

6 varieties * 2 different sizes = 12 varieties

Therefore, there are 12 different variety of ice-cream dessert she can order.

Hi there, again! Hopefully this helps, again!

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Since she has 3 coats, 2 scarfs, and 1 glove:

She has 6 ways to choose a coat, a scarf, and a glove(s).

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

My 6 combinations:

1.) Red coat, black scarf, white glove(s).

2.) White coat, grey scarf, white glove(s).

3.) Pink coat, black scarf, white glove(s).

4.) Red coat, grey scarf, white glove(s).

5.) White coat, black scarf, white glove(s).

6.) Pink coat, grey scarf, white glove(s).

Answer:

1/18

Step-by-step explanation:

Spinner: 1 out of 8

Even number: 4 out of 9

1/8x4/9=4/72 = 2/36 = 1/18

Answer:

B. sin(theta) cos^2(theta)

Step-by-step explanation:

sin^2(theta) / csctheta tan^2(theta)

To solve, we convert to sine and cosine and then simplify.

means by the priority of operators (* and / from left to right)

(sin^2(theta) / csctheta) * tan^2(theta)

= sin^2(theta) / (1/sin(theta) * (sin(theta)/cos(theta)^2

= sin^2(theta) * sin(theta) * sin^2(theta) / cos^2(theta)

= sin^5(theta) / cos^2(theta)

which obviously does not correspond to any of the answers.

IF the expression were missing parentheses in the denominator, then it becomes:

sin^2(theta) / (csctheta tan^2(theta))

= sin^2(theta) / (1/sin(theta) * sin^2(theta) /cos^2(theta))

= sin^2(theta) / (sin(theta)/cos^2(theta)

= sin(theta) cos^2(theta)

which corresponds to answer B.

Answer:

[tex]\Large \boxed{\bold{B.} \ \mathrm{sin(\theta) \cdot cos^2(\theta) }}[/tex]

Step-by-step explanation:

[tex]\displaystyle \mathrm{\frac{sin^2(\theta ) }{ csc(\theta) \cdot tan^2(\theta)} }[/tex]

Simplify the expression.

[tex]\displaystyle \mathrm{\frac{sin^2(\theta ) }{\frac{1}{sin} (\theta) \cdot \frac{ sin^2(\theta)}{ cos^2(\theta)} } }[/tex]

[tex]\displaystyle \mathrm{\frac{sin^2(\theta ) }{\frac{sin^2 }{sin} (\theta) \cdot cos^2(\theta) } }[/tex]

[tex]\displaystyle \mathrm{\frac{sin^2(\theta ) }{sin (\theta) \cdot cos^2(\theta) } }[/tex]

[tex]\displaystyle \mathrm{\frac{sin^2(\theta ) }{sin (\theta) } \cdot cos^2(\theta) }[/tex]

[tex]\displaystyle \mathrm{sin(\theta) \cdot cos^2(\theta) }[/tex]

Answer:

4y miles

Step-by-step explanation:

Max : x miles per hour

Sven: y miles per hour  slower

        x-y is the speed for Sven

We know that distance = speed * time

Distance for Max = x*t

Distance for Sven = (x-y) * t = xt - yt

The difference in distance is Max's distance minus Sven's distance

xt - ( xt-yt)

xt - xt +yt

yt

Max is yt miles ahead where t is the time

The time is noon to 4  which is 4 hours

Changing t to 4

The distance ahead is 4y miles

Answer:

Coordinate D

Step-by-step explanation:

Answer:

y - 2 = 3(x - 5).

Step-by-step explanation:

We need to find the slope of the line.

[2 - (-10)] / [5 - (-1)] = (2 + 10) / (5 + 1) = 12 / 6 = 2 / 1 = 2

So, y1 = 2, x1 = 5, and m = 2.

y - 2 = 3(x - 5)

Hope this helps!

The formula for point slope is written as y - y1 = m(x -x1)

You are given y - 2 = ?

Since the 2 form the point (5,2) is the y1 value, then the 5 is equal to x1

The formula becomes: y-2 = m(x-5)

Now solve for the slope, which is the change in y over the change in x:

Slope = -10 - 2 / -1 - 5 = -12/-4 = 3

Now replace m to get y-2 = 3(x-5)

Answer:

15 pupcakes

Step-by-step explanation:

Purple is 1 out of 4 sections

1/4  times the number of total pupcakes

1/4 * 60

15

Answer:

75 green marbles

Step-by-step explanation:

From the information given in the question, we can create a ratio representing all the marbles in the bag.

9 red:15 green:6 blue

We need to find the total number of times the student drew a marble by finding the sum

9+15+6= 30

The sample size is 30

150 is 5x the amount of 30, that means we need to multiply the given information by 5 to predict the number of green marbles

9x5=45

15x5=75

6x5=30

Now we have 45 red: 75 green: 30 blue

Based on the given information, we can predict that the bag contains 75 green marbles

Answer:

the answer is the last one

Step-by-step explanation:

it is in form of f(x) = mx + b and mx is the slope and b is the y intercept

Answer:

f(x)= 2x - 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is a guessing game. You assume how much there is, and then you check. I was led to the conclusion that there are 9 large frames and 18 small frames.

Answer:

She bought 9 large frames

Step-by-step explanation:

Create a system of two equations and two unknowns (the number of small frames that we call S, and the number of large frames that we call L).

The two equations become:

(a)    L + S = 27    (since she bought 27 frames total)

(b)   10 L + 5 S = 180

Now, let's solve for S in the first equation:  S = 27 - L

ad use it to replace for S in equation (b):

10 L + 5 (27 - L) = 180

10 L  - 5 L + 135 = 180

5 L = 180 - 135

5 L = 45

L = 9

Therefore she bought 9 large frames

I attached a picture to this

Answer:

A 180 degree counterclockwise rotation about the origin followed by a translation 5 units to the right

Step-by-step explanation:

Answer:

translation down 5, rotation 180°

Step-by-step explanation:

Answer:

48.28 cm

Step-by-step explanation:

The shortest distance would be to travel diagonally to the top-right corner, and then travel along the edge to B,

Diagonal = 20^2+20^2=c^2

400+400=c^2

800=c^2

square root of 800=c

c=28.28

Edge = 20

Total: 20+20.28=48.28 cm

Answer:2

26x + y = 23 → y = 23 – 6x.

7x + y = 25 → 7x + (23 – 6x) = 25 → x + 23 = 25 → x = 2

Answer:

The answer is colors, genre of music, favorite pet

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

if you add all the numbers up it becomes 96 and 96 goes Into. 480 5 times so you multiply 5 times the number of giant swallow tails

Answer:

If they are proportional we can expect 40

lol iready

Answer:

26 is what I'm guessing

Answer:

The histogram would be "flat" or "uniform."

Step-by-step explanation:

For the drawings to be "fair," all numbers must have an equal probability of being selected.

Answer:

The histogram would be uniform

Step-by-step explanation:

for the histogram to be uniform,all the numbers should have an equal probability of being selected.thus, all the numbers should have the same opportunity of being selected for the winning numbers

Answer:

Step-by-step explanation:

Answer:

horizontal shift can affect the linear function, because it is impossible to distinguish which transformation was applied by looking at the resulting graph.

Step-by-step explanation:

a horizontal shift is a movement left to right along the x-axis, and in equation of a function it's change in the value of x before it's multiplied by the slope.

Answer:

I agree with Lambina and added this answer so she could get brainliest

Step-by-step explanation:

Answer:

Slope: 1.5

Step-by-step explanation:

We first have to find what y is equal to. That means we take 3x - 5 and divide it by 2. We get 1.5x - 2.5. Since the lines are parallel and they have the same slope and different y - intercepts, we know that the slope will be equal.

Answer:

m = 3/2

Step-by-step explanation:

2y = 3x - 5

First find the slope of this line

Divide by 2

2y/2 = 3x/2 - 5/2

y = 3/2 x - 5/2

This is in slope intercept form  y= mx+b where m is the slope and b is the y intercept

The slope is 3/2

Parallel lines have the same slope

m = 3/2

Answer:

I'm not completely sure but I believe it's (4^2)*12

Step-by-step explanation:

To find the amount of window panes there are, we have to find how much window pains are in each window. So we have a 4 by 4 so that's 16. Since 4 and 4 are the same numbers, we can raise 4 to the power of two to get 16. Then we have to do 16*12 to get the total amount of panes since Panes Per Window multiplied by Number Of Windows equals Total Number Of Panes

Answer:

(4^2)*12

Step-by-step explanation:

Answer:

0.2

Step-by-step explanation:

10v=2

v=2/10

v=0.2