In 5 years, a bank account with a 4.5% annual interest rate earned $3,375 as simple interest. What was the principal amount of the account.

Answer:

14 feet and 5 inches

Step-by-step explanation:

11 feet + 2 feet= 13 feet

9 inches + 8 inches = 17 inches

17 inches = 1 foot and 5 inches

13 + 1 = 14 feet

5 inches + 0 inches = 5 inches

Final answer:

The number in question is 9. This is found by setting up the equation 2x - 12 = 6 and solving for x.

Explanation:

To find the number when twelve is subtracted from twice the number and the result is six, we set up the equation 2x - 12 = 6. To solve for the number (x), follow these steps:

Therefore, the number that satisfies the condition is 9.

Answer:

U = 40/3

Hope this helps :-)

a.

20/2 = 10

0, 10, 20, 30, 40, 50

b.

32.4/4 = 8.1

0, 8.1, 16.2, 24.3, 32.4, 40.5

c.

8.8/4 = 2.2

0, 2.2, 4.4, 6.6, 8.8, 11

d.

10/3 = 3.3

0, 3.3, 6.7, 10, 13.3, 16.7

Answer:

(a) 0, 10, 20, 30, 40, 50.

(b) 0, 8.1, 16.2, 24.3, 32.4, 40.5.

(c) 0, 2.2, 4.4, 6.6, 8.8, 11.

(d) 0, 3.33, 6.67, 10, 13.33, 16.67.

Step-by-step explanation:

Part a.

From the given number line it is clear that

2 units = 20

So, length of 1 unit is

[tex]\frac{20}{2}=10[/tex]

Therefore, the numbers on the number line are 0, 10, 20, 30, 40, 50.

Part b.

From the given number line it is clear that

4 units = 32.4

So, length of 1 unit is

[tex]\frac{32.4}{4}=8.1[/tex]

Therefore, the numbers on the number line are 0, 8.1, 16.2, 24.3, 32.4, 40.5

.

Part c.

From the given number line it is clear that

4 units = 8.8

So, length of 1 unit is

[tex]\frac{8.8}{4}=2.2[/tex]

Therefore, the numbers on the number line are 0, 2.2, 4.4, 6.6, 8.8, 11.

Part d.

From the given number line it is clear that

3 units = 10

So, length of 1 unit is

[tex]\frac{10}{3}=3.33[/tex]

Therefore, the numbers on the number line are 0, 3.33, 6.67, 10, 13.33, 16.67.

1. 5.8 x [tex]10^{7}[/tex]

2. 2.5 x [tex]10^{3}[/tex]

hope that helps :)

To determine when a sunflower reaches a height of 3 meters, given it grows at a rate of 30 cm per week, we divide 300 cm by 30 cm per week to find that the sunflower will reach the height in the 10th week.

The question asks us to determine in which week a sunflower, which can grow 30 cm each week, reaches a height of 3 meters.

Calculation of Weeks Required for Sunflower to Reach 3 Meters:

Firstly, we need to convert the final desired height from meters to centimeters, since the growth rate is given in centimeters per week:

3 meters = 300 centimeters

Next, we divide the final desired height by the weekly growth rate to find the number of weeks:

300 cm / 30 cm/week = 10 weeks

Therefore, the sunflower reaches a height of 3 meters in the 10th week.

Answer:

15

Step-by-step explanation:

In order to have infinite solutions, the left and the right side must be the same.  In order to make each side identical, you must add 15.

Answer: 7

Step-by-step explanation:

The probability of drawing a single card from a standard 52-card deck is calculated using the formula 'Desired outcomes/Total outcomes'. For a specific card, the probability is 1/52. For a face card, it's 12/52 or simplified to 3/13.

In the context of your question about drawing a single card from a standard 52 card deck, it's important to first understand the composition of the deck. A standard deck comprises of 52 cards; four suits of 13 cards each. The suits are clubs, diamonds, hearts, and spades, with clubs and spades being black, while diamonds and hearts are red.

To calculate the probability of drawing a specific card, we need to use the formula for probability, which is Desired outcomes/Total outcomes. In your case, drawing a specified single card from a 52-card deck, there is only one desired outcome and the total number of outcomes is 52. Hence, the probability would be 1/52.

If you are looking for the probability of drawing, say a face card (jack, queen, king), remember the deck has 12 face cards. Hence, the probability becomes 12/52 = 3/13.

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Im only 4 but I think the answer is 30. JK im 13 :D:D

Answer:

Option C. (4, -1, 3)

Step-by-step explanation:

The given system of equations is

x + y + z = 6 -----(1)

x - y + z = 8 ------(2)

x + y - z = 0 -----(3)

We subtract equation 1 by 3

(x + y + z) - (x + y - z) = 6 - 0

z + z = 6

2z = 6

z = 3

Now we subtract equation 1 by 2

(x + y + z) - (x - y + z) = 6 - 8

2y = -2

y = -1

Now we put the values of x and y in equation 1

x + (-1) + 3 = 6

x + 2 = 6

x = 6 - 2 = 4

Therefore, the solution of the equations is (4, -1, 3).

Option C is the answer.

So if I had this problem I would multiply 21 x 34= 714 then I would divide it by 14 which would get me 51. There would be 51 blocks in each group!

Shaun would have 51 groups of blocks if he separated them into groups of 14. We found this by calculating the total number of blocks Shaun originally had (714) and dividing by the new group size (14).

The problem is about finding the total number of blocks Shaun has. We first multiply the number of groups Shaun can make (34) by the size of each group (21), which gives us 714 blocks. Then, we find out how many groups he'd have if he separated the blocks into groups of 14 instead, by dividing the total number of blocks (714) by the new group size (14). So, Shaun would have 51 groups of blocks if he divided them into groups of 14.

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Answer:

Step-by-step explanation:

Answer is given in attachment.

Answer 82%

Step-by-step explanation:

f(x) = y

f(5) = -3 therefore the point is (5, -3).

I will try my best to assist you with your question!

Tricky question... they want you to think that it needs to be 5/3, but it is 5/4

5/4 = 1.25

1.25 = 1 1/4

Each friend gets 1 1/4 of the 5 candy bars.

Hope I helped!

Good Luck!

Answer:

Step-by-step explanation:

The first term must have one number before decimal point

the second term (factor) must be 10 having some power.

example;

5.0 ×10³

7.002×10^41

We can use the slope formula to find the slope between these two points:

[tex]\frac{y.2 - y.1}{x.2 - x.1} = m[/tex]

2 - 6 / -1 - 4

-4 / -5

Because there are two negatives, they cancel out.

The slope of the line between these two points is 4/5.

[tex]\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{We have}\\\\(4,\ 6)\to x_1=4,\ y_1=6\\(-1,\ 2)\to x_2=-1,\ y_2=2\\\\\text{substitute}\\\\m=\dfrac{2-6}{-1-4}=\dfrac{-4}{-5}=\dfrac{4}{5}=0.8[/tex]

Final answer:

Mr.Klinker will be twice as old as his daughter in 15 years.

Explanation:

To find the number of years in which Mr. Klinker will be twice as old as his daughter, we can set up an equation:

Let x be the number of years in the future.

Mr. Klinker's age: 35 + x

Daughter's age: 10 + x

According to the problem, Mr. Klinker will be twice as old as his daughter, so we can write the equation:

35 + x = 2(10 + x)

Now, let's solve for x:

35 + x = 20 + 2x

Move the 2x to the left side:

x - 2x = 20 - 35

-x = -15

Divide both sides by -1:

x = 15

Therefore, Mr. Klinker will be twice as old as his daughter in 15 years.

3 because length times width = area right. so 3x3=9.

AB = 10 → C and BC = 10 → A

to calculate the lengths use the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 3, -  4) and (x₂, y₂ ) = (5, 2 )

AB = √(5 + 3 )² + (2 + 4 )² = √(64 + 36 ) = √100 = 10 → C

with (x₁, y₁ ) = (5, 2 ) and (x₂, y₂ ) = (11, - 6 )

BC = √(11 - 5 )² + (- 6 - 2 )² = √(36 + 64 ) = √100 = 10 → A

Distance formula: d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

AB:

1- Substitute A (-3, -4) for (x₁, y₁) and B (5, 2) for (x₂, y₂)

2- Plug them in the formula:  AB = √ (5 - (-3))² + (2 - (-4))²

3- Solve:

√ (5 + 3)² + (2 + 4)² =

√ 8² + 6² =

√ 64 + 36 =

√ 100 =

10

AB = 10

What is AB?

C. 10

BC:

1- Substitute B (5, 2) for (x₁, y₁) and C (11, -6) for (x₂, y₂)

2- Plug them in the formula:  BC = √ (11 - 5)² + (-6 - 2)²

3- Solve:

√ 6² + (-8)² =

√ 36 + 64 =

√ 100 =

10

What is BC?

A. 10

We are given equation: c = 12w + 20, that represents total cost for w number of weeks.

We need to describle, what happen when w that is number of week increases.

w is an independent variable there. But c is a dependent variable.

As the number of weeks w increase the total cost c increases. But that would not effect fix $20 sign-up fee for joining a video streaming service.

Therefore, we could say:

Answer:

The number of weeks and the total cost increase, but the sign-up fee stays the same.

Step-by-step explanation:

There were 6 flowers in each bunch

138÷23=6

The total change in the tram's elevation is 567 meters.

The total change in the tram's elevation can be found by multiplying the upward speed by the time it was moving. In this case, the tram moved upward at a speed of 9 meters per second for 63 seconds. So, the total change in elevation would be 9 meters per second multiplied by 63 seconds, which equals 567 meters.

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-3.3=[tex]\frac{x}{6}[/tex]

Multiply both sides of the equation by 6 to isolate x.

-19.8=x

Your answer is -19.8.

I hope this helps :)

the answer is x=-19.8

                                      hope it helps mark me the brainlyest

Answer:

5.2

Step-by-step explanation:

Distance between numbers would mean subtraction.

6.4 subtracted by 1.2 would come to 5.2.

Hope this helped!

You are correct

4(3x-5)

4(3x) + 4(-5)

12x-20

Answer:

Lan need to save more than 5 weeks to earn at least $85.00

Step-by-step explanation:

Given :Lan has $25.00 in his piggy bank,and can save $12.00 from his allowance each week.

To Find : How many weeks will Ian need to save to earn at least $85.00

Solution :

Lan has $25.00 in his piggy bank

He can save per week = $12

Let x be the number of weeks

So, he can save in x weeks = 12x

So,. total saving in x weeks = 25+12x

Now we are given that Ian needs to save at least $85.00

So, Equation becomes : [tex]25+12x>85[/tex]

So,  [tex]25+12x>85[/tex]

[tex]12x>60[/tex]

[tex]x>5[/tex]

Hence Ian need to save more than 5 weeks to earn at least $85.00 .

The number of small bottles the pharmacist can fill from the larger bottle and still have 250 milliliters remaining can be discovered through a mathematical operation, presumed to be a subtraction-based inequality. This would determine that the amount in the larger bottle, minus the total amount in the small bottles, is equal to or greater than 250 ml.

Unfortunately, the question lacks an inequality to be solved. However, we can assume that the problem may involve a mathematical operation including subtraction, since the pharmacist wants to keep a certain amount of milliliters (250 ml) left in the bigger bottle. In that case, the amount of syrup in the larger bottle minus the total amount of syrup placed into the small bottles should be equal to 250 ml.

Conceptually, this can be understood as follows:

If 'a' is the total quantity in the larger bottle, 'x' is the quantity which each smaller bottle can contain, and 'n' is the number of smaller bottles, we can create an inequality as follows: a - nx >= 250. This inequality means that the pharmacist can fill 'n' number of smaller bottles and still be left with at least 250 ml in the larger bottle.

So, solving this formula would yield the number of bottles that can be filled without reducing the larger bottle's quantity below 250 ml.

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The pharmacist can fill any number of small bottles x  that satisfies the inequality:  [tex]\[ x \leq \left\lfloor \frac{L - 250}{S} \right\rfloor \][/tex]

The correct statement describing the number of small bottles the pharmacist can fill is that the pharmacist can fill x small bottles, where x is any integer less than or equal to the quotient of the volume of the larger bottle minus 250 milliliters, divided by the volume of one small bottle.

 To solve this problem, let's denote the volume of the larger bottle as L milliliters and the volume of each small bottle as S milliliters.

The pharmacist wants to fill x small bottles and have 250 milliliters remaining in the larger bottle.

Since the pharmacist can fill the small bottles until there is no more volume left to fill an additional bottle, the inequality that represents this situation is:

[tex]\[ xS \leq L - 250 \][/tex]

To find the maximum number of small bottles that can be filled, we divide both sides of the inequality by S

[tex]\[ x \leq \frac{L - 250}{S} \][/tex]

In summary, the pharmacist can fill any number of small bottles x  that satisfies the inequality:

[tex]\[ x \leq \left\lfloor \frac{L - 250}{S} \right\rfloor \][/tex]