Suppose you invested $4500 by 4% each year for 30 years. How much for 30 years?

Answer:

A B

Step-by-step explanation:

C: f 10)=3

so its wrong

D: the domain:(0,1,2,3)

so its wrong

choice : A B

Answer:

P=21

Step-by-step explanation:

P=a+b+c=6+7+8=21

Answer:

P= b+8

P= a+b+c

P= 6+4+b -2

P= 10-2+b

P= 8+b

P= b+8

Answer:

Step-by-step explanation:

3x + 4x + x = 16

7x + x = 16

8x = 16

x = 16 : 8

x = 2

----------------------

3 × 2 + 4 × 2 + 2 = 16  (remember PEMDAS)

6 + 8 + 2 = 16

16 = 16

same value the answer is good

Answer:

Step-by-step explanation:

Let x be the number

\(\frac{5}{2}x - 7= 24\\\)

Add 7 to both sides

\(\frac{5}{2}x -7+7=24+7\\\\\frac{5}{2}x=31\\x=31*\frac{2}{5}\\\\x=\frac{62}{5}\\\\x=12\frac{2}{5}\)

Answer:

-5

Step-by-step explanation:

Answer:

-5 is the answer

Step-by-step explanation:

-5 is the answer

Answer:

x=3 /

steps: (For x)

Turn the equation into --> -x+1 = 2/3x-4

Next is the multiply the equation by 3 to make isolating x easier so it becomes --> -3x+3=2x-12

Now arrange the terms to where variables are on a side and constants are on a side

it should look like --> -3×-2x=-12-3

Now combine like terms --> -5x=-15

finally just divide by -5 on both sides

x=3

For y:

substitute X for either of the equations

y=2/3 x 3-4

y=-2

The solution is (3,-2)

Answer

$79.45

Use the simple interest formula

A= P(1+rt)

A = 70(1+0.045×3)

And you solve, which gives you 79.45

Answer:

$79.45

Step-by-step explanation:

To find the total amount of money in her account, we can use the following formula:

\(\boxed {A = P(1 + rt)}\)

where:

A = final amount (?)

P = principal (original) amount ($70.00)

r = interest rate (4.5% = 0.045)

t = time (3 years).

Substituting the values into the formula:

\(A = 70(1 + 0.045 \times 3)\)

   = \(70(1.135)\)

   = $79.45

∴ She has $79.45 in her savings account at the end of three years.

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of phones produced abroad and y represent the number of phones produced locally.

The company can provide 6000 hours of labor each week and it takes 30 hours to produce the cellphone abroad and at the local factory it takes 20 hours, hence:

30x + 20y = 6000            (1)

Also, there is a total resource of $12000 each week, the cost of producing abroad is $20 and the cost of producing locally is $60. Hence:

20x + 60y = 12000           (2)

Multiply equation 1 by 3 and subtract equation 2 from the result. This gives:

70x = 6000

x = 600/7 ≈ 86

Put x = 86 in equation 1:

30(86) + 20 y = 6000

20y = 3420

y = 171

86 phones should be produced abroad and 171 phones locally

Answer:

months = 6.67

Step-by-step explanation:

time in years = interest / (principal amount x rate)

time in y = 180 / (5000 x 0.02)

time in y = 180 / 100

time in months = 12 / 1.8

months = 6.67

Answer:69

Step-by-step explanation:

Answer:

(- 1, 4 )

Step-by-step explanation:

Given the 2 equations

3x + 4y = 13 → (1)

2x - 2y = - 10 → (2)

Multiplying (2) by 2 and adding to (1) eliminates the term in y

4x - 4y = - 20 → (3)

Add (1) and (3) term by term to eliminate y, that is

7x + 0 = - 7

7x = - 7 ( divide both sides by 7 )

x = - 1

Substitute x = - 1 into either of the 2 equations and solve for y

Substituting into (1)

3(- 1) + 4y = 13

- 3 + 4y = 13 ( add 3 to both sides )

4y = 16 ( divide both sides by 4 )

y = 4

solution is (- 1, 4 )

Answer:353.4

Step-by-step explanation: V= 3.14 R2 H so  3.14 x 32 (2 is squared) x 12.5 = 353.42917

round to the nearest 10th which is 353.4

Step-by-step explanation:

We can use trigonometry to solve this problem. Let's draw a diagram:

```

A - observer (1.5 m above ground)

B - base of the clock tower

C - top of the clock tower

D - intersection of AB and the horizontal ground

E - point on the ground directly below C

C

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B

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A

```

We want to find the height of the clock tower, which is CE. We have the angle of elevation ACD, which is 19 degrees, and the distance AB, which is 100 m. We can use tangent to find CE:

tan(ACD) = CE / AB

tan(19) = CE / 100

CE = 100 * tan(19)

CE ≈ 34.5 m (rounded to 1 decimal place)

Therefore, the height of the clock tower is approximately 34.5 m.

Answer:

30 seconds.

Step-by-step explanation:

That will be the Lowest Common Multiple of 5 and 6.

This is 5 *6 = 30.

Answer:

#2.

Step-by-step explanation:

Answer:

2 kg

Step-by-step explanation:

5 - 3 = 2

Hey there!

First, read the the problem again and look for any clues. "Have left" is a phrase that would be used for subtraction. So, 5 kg - 3kg = 2 kg.

Patrick has 2 kilograms of sugar left.

Hope this helps!

Have a great day!

Answer:

The domain is all x-values or inputs of a function. hope this helps!

Step-by-step explanation:

Answer:

$18.00

Step-by-step explanation:

Answer: 18$

Step-by-step explanation:

17.59 is the current amount if you round to the nearest dollar the .5 will make the 7 go up in value meaning it will turn into a 8

The probability of Alice, Bob, and Cicily sitting together with Alice to the left of Bob and Cicily to the right of Bob is 2 × 3! / (n-1)!

To find the probability that Alice, Bob, and Cicily sit together at a table with Alice to the left of Bob and Cicily to the right of Bob, consider them as a single entity. Let's denote this entity as ABC.

(n-1) entities since ABC is considered as one. The total number of ways to arrange (n-1) entities is (n-1)!.

Within the ABC entity, Alice, Bob, and Cicily  arrange themselves in 3! = 6 different ways.

Since Alice can sit to the left of Bob and Cicily to the right of Bob, there are two valid arrangements: ABC and ACB.

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The average rate of change of the function is -4.75

Average rate of change is calculated using the formula

= (y₀ - y₁) / (x₀ - x₁)

The average rate of change is also called the slope.

The slope by definition is the ratio change of the output values to the input values

the average rate of change for points x = 4 and x = 12

average rate of change = (44 - 9) / (4 - 12)

average rate of change = (35) / (-8)

average rate of change = -4.75

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Answer:

k = -11

Step-by-step explanation:

Let \(p(x) = x^3-6x^2+kx+10\)

And x+2 is a factor of p(x)

Let x+2 = 0 => x = -2

Putting in p(x)

=> p(-2) = \((-2)^3-6(-2)^2+k(-2)+10\)

By remainder theorem, Remainder will be zero

=> 0 = -8-6(4)-2k+10

=> 0 = -8-24+10-2k

=> 0 = -22-2k

=> -2k = 22

Dividing both sides by -2

=> k = -11

Answer:

Step-by-step explanation:

y=−3x+12

when x=0 then y=12 , the y intercept is (0,12)

when y=0 then -3x+12=0, -3x=-12, x=12/3=4

x intercept =(4,0)

The x and y intercepts of the line are (4, 0) and (0, 12).

In Maths, an intercept is a point on the y-axis, through which the slope of the line passes. It is the y-coordinate of a point where a straight line or a curve intersects the y-axis. This is represented when we write the equation for a line, y = mx+c, where m is slope and c is the y-intercept.

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

When y=0, we get

x=4

So, x-intercept is (4, 0)

When x=0, we get

y=12

So, y-intercept is (0, 12)

Therefore, the x and y intercepts of the line are (4, 0) and (0, 12).

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Answer:

132

Step-by-step explanation:

C=5

3c - 2 = 13

2c = 10

4c + 1 = 21

4c + 2 = 22

length = (3c- 2) + (4c + 1)

length = 13 + 21

length = 34

width = (4c + 2) + (2c)

width = 22 + 10

width = 32

Perimeter

p = 2l + 2w

p = 2*34 + 2*32

p = 68 + 64

p = 132

Answer:

c = 13

Step-by-step explanation:

pythogoras theorem

a² + b² = c²

5² = 25

12² = 144

25 + 144 = 169

√169 = 13

c = 13

Answer:

25

Step-by-step explanation:

let there be x questions on the test

80% of x = 20

80% * x = 20

80% = 0.8

0.8 * x = 20

divide both sides by 0.8 to isolate x

x = 20/0.8 = 25

In scientific notation it is 5.4 * 10^3

================================================

Work Shown:

n = number of grains of salt

1 grain = 6.48 * 10^(-5) kg = 0.0000648 kg

The exponent of -5 indicates to move the decimal point 5 spots to the left.

n grains = 0.0000648n kg

Set this equal to the stated weight of 0.35 kg and solve for n.

0.0000648n = 0.35

n = 0.35/0.0000648

n = 5401.23456790123

n = 5400

This is when rounding to 2 significant figures. The 2 most significant values are the left-most items 5 and 4. Everything else becomes a 0. These particular zeros aren't significant.

The number 5400 in scientific notation is 5.4 * 10^3

Using the power rule of integration,
∫(xż + 2x + 1)dx = (1/4)x4 + x2 + x + C

To check the result by differentiation :

d/dx [(1/4)x4 + x2 + x + C] = x3 + 2x + 1

This is indeed the original integrand.

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Answer:

h = (2A)/b

Step-by-step explanation:

Answer:

p is goodvjlxhkjdgmdgjmdmthdmyj

Answer:

umm search on google,use caculater soup

Step-by-step explanation:

Answer:

8.10$?

Step-by-step explanation:

hm idk what to put here but i think thats it unless its not a answer

A derangement of a set is a permutation in which no element appears in original position.The total number of permutations of {1, 2, 3, 4, 5, 6, 7} that leave exactly one element fixed is 6 × 1854 = 11,124.

Let D(n) be the number of derangements of a set with n elements. The formula for derangements is:

D(n) = n!(1/0! - 1/1! + 1/2! - 1/3! + ... + \((-1)^n\)/n!)

Using this formula with n = 7, we get:

D(7) = 7!(1/0! - 1/1! + 1/2! - 1/3! + 1/4! - 1/5! + 1/6!)

= 7(720)(1 - 1 + 1/2 - 1/6 + 1/24 - 1/120 + 1/720)

= 1854

This means that there are 1854 derangements of the set {1, 2, 3, 4, 5, 6, 7}. Each derangement corresponds to a permutation that leaves exactly one element fixed, and each permutation that leaves exactly one element fixed corresponds to a derangement by simply swapping the fixed element with its original position.

For example, if the permutation leaves 1 fixed, we can swap 1 with any other element to get a derangement. So there are 6 derangements that correspond to permutations that leave 1 fixed. Similarly, there are 6 derangements that correspond to permutations that leave 2 fixed, and so on. Therefore, the total number of permutations of {1, 2, 3, 4, 5, 6, 7} that leave exactly one element fixed is 6 × 1854 = 11,124.

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