fill in the blanks.
1.
principal: $500
rate: 4.5%
time: ? years
interest earned: $112.50
new balance: ?

2.
principal: ?
rate: 8%
time: 2 years
interest earned: $108.00
new balance: ?​

Answer:

It will take 50 seconds for the pebble to reach the height

Step-by-step explanation:

To calculate the time, simple substitute h(t) for 32,500

So we have

32,500 = 20,000 + 5t^2

5t^2 = 32,500-20,000

5t^2 = 12500

t^2 = 12500/5

t^2 = 2500

t = square root of 2500

t = 50 seconds

P= 3

Q= -14

R= -5

Step-by-step explanation:

Just solve the equation on the right side, you'll get:

=3x^2 -15x +x -5

=3x^2 -14x -5

Now compare it to the equation on the left side,

The coefficient of x^2 on the left is "p", on the right that we just solved is 3.

Same for "q" which is the coefficient on the left, on the right it's -14.

And for "r" it's -5 from the equation on the right.

Answer:

4/3

Step-by-step explanation:

You're going to want to use the slope formula which is attached. Using this, you'll take the second y and subtract the first y from it. In other words, 11-7, which is 4. This will be the numerator. Then, you'll take the second x and subtract the first x from it. In other words, 6-3, which is 3. This will be the denominator. The final answer is [tex]\frac{4}{3}[/tex].

Answer:

P=5%

Step-by-step explanation:

In order to solve this problem, we can use the following formula for the probability of two independent events:

P(A and B)=P(A)*P(B)

so we need to find the probability for each event to happen.

They are asking for the probability that the winning  ticket will have the letter e on it. There are 5 vowels in the alphabet (a, e, i, o and u). Therefore the probability for the first letter to be e is:

[tex]P(A)=\frac{desired}{total}[/tex]

[tex]P(A)=\rac{1}{5}[/tex]

We also know there are 4 prime numbers between 0 and 10 (2, 3, 5, 7) so the probability for the number to be a 5 is:

[tex]P(B)=\frac{1}{4}[/tex]

so the probability of getting a ticket that starts with an e and ends with a 5 is:

P(A and B)=P(A)*P(B)

[tex]P(A and B)=(\frac{1}{5})(\frac{1}{4})[/tex]

[tex]P(A and B)=\frac{1}{20}[/tex]

so the probability is 5%

The probability that the winning ticket has the vowel contained in the word event and the digit is the number of letters in the word event is P=5%.

The chance of happening an event out of all the possible outcomes is called the probability of an event.

The probability of two independent events

P(A and B)=P(A)*P(B)

The probability that the winning ticket will have the letter e on it. There are 5 vowels in the alphabet (a, e, i, o and u). So, the probability for the first letter to be e is:

P(e) =1/5

There are 4 prime numbers between 0 and 10 (2, 3, 5, 7) so the probability for the number to be a 5 is:

P(B) =1/4

So, the probability of getting a ticket that starts with an e and ending with a 5 is:

P(A and B)=P(A)*P(B)

= 1/5 x 1/4 =1/20

In percentage , probability is 1/20 x 100 % =5%

Hence, the probability is 5%

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Answer:

28.4484

Step-by-step explanation:

Answer:

28.46

Step-by-step explanation:

Use this equation: 2 π r

Answer:

magnitude of √61 and a direction angle equal to approximately 40°

Step-by-step explanation:

I inserted the x,y axis into a vector calculator to get the magnitude and angle :D

The magnitude of the vector is √61 and the direction of the angle is 40 degrees option (C) magnitude of √61 and a direction angle equal to approximately 40° is correct.

It is defined as the quantity that has magnitude as well as direction also the vector always follows the sum triangle law.

We have a vector shown in the picture.

The coordinate of the vector are:

The tail coordinate = (0, 0)

The head coordinate = (6, 5)

We can find the magnitude of the vector using the distance formula:

The distance formula can be given as:

[tex]\rm M=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\rm M=\sqrt{(6-0)^2+(5-0)^2}[/tex]

M = √61

The direction of the angle:

tanA = 5/6

tanA = 0.8333

A =39.80 ≈ 40 degrees

Thus, the magnitude of the vector is √61 and the direction of the angle is 40 degrees option (C) magnitude of √61 and a direction angle equal to approximately 40° is correct.

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Answer:

Total cost = 40 + 0.2t

Step-by-step explanation:

Given:

Fixed cost for call = $40

Each message cost = $0.20

Number of message = t

Find:

Equation of total cost

Computation:

Equation of total cost

Total cost = Fixed cost for call + (Each message cost)(Number of message)

Total cost = 40 + 0.2t

Answer: me but I cant play with anyone

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

equalitivietion form akk absolute vaules.

Answer:

$62.32

Step-by-step explanation:

54.19 · 15/100 = 812.85/100 = 8.1285

simplify 8.1285, so it's 8.13

$54.19 + $8.13 = $62.32

Answer:

-98

Step-by-step explanation:

simplify both sides

Answer:

w =4................?????.

Answer:

Step-by-step explanation:

Answer:

march 4th?

Step-by-step explanation:

April 29? That seems like a birthday you would have with your name.

Answer:

According to the calculation, Wayra mage a mistahe in step 2 where she added 13 and 6 together instead of multiplying to get 78.

She also make a mistake in step 2 where he subtracted 5z from 4z to get z instead of -z

Step-by-step explanation:

Given the equation solved by Wayra expressed as;

Step 1: 13(z+6) = 4(z-3)-5z

She is find the value of z from the equation;

Step 2: Open the parenthesis using the distributive property;

13(z+6) = 4(z-3)-5z

13z + 13(6) = 4z - 4(3) - 5z

13z + 78 = 4z - 12 - 5z

Step 3: Simplify

13z + 78 = 4z - 5z - 12

13z + 78 = -z -12

Step 4: Collect the like terms;

13z + z = -12 - 78

Step 5: Simplify the result

14z = -90

Step 6: Divide both sides by 14

14z/14 = -90/14

z = 6.428

According to the calculation, Wayra mage a mistahe in step 2 where she added 13 and 6 together instead of multiplying to get 78.

She also make a mistake in step 2 where he subtracted 5z from 4z to get z instead of -z

Answer:

A. W+ 12 = 6 + W + 6

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

<ABC = 85

Step-by-step explanation:

3x + 25 + 5x - 5 = 180

8x + 20 = 180

     - 20     - 20

8x = 160

/ 8      / 8

x = 20

3x + 25

3 (20) + 25

60 + 25

85

Answer:

13 mph

Step-by-step explanation:

45.5/3.5 = 13

Answer:

13 mph

Step-by-step explanation:

divide 45.5 by 3.5 to get 13 mph

Answer:

a is 5 and b is 6 but I am not sure but I hope it helps

Answer:

Yes

Step-by-step explanation:

ΔGHJ ≅ΔGKJ    -------> A A S congruent

Answer: $8 and a ratio could be 12 for 8

Step-by-step explanation:

Answer:19) x=53. 20) x=143

Step-by-step explanation: it’s a co interior angle so they should add up to 180 so u do 180-127=53

[tex]\boxed{\,1\,}\qquad\left(\dfrac23\right)\\\\\boxed{\,2\,}\quad27\left(\dfrac23\right) \\\\\boxed{\,3\,}\quad12\left(\dfrac23\right)\qquad \bold8\\\\ \boxed{\,4\,}\quad\ 9\,\left(\dfrac23\right)[/tex]

Answer:

It is 25

Step-by-step explanation: 5 10 15 20 25

5*5 =25

Hope this help:)

Answer:

-28

Step-by-step explanation:

The solution is the value of f(3) = -28.

An expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

here, we have,

given expression is,

f(x) = -4x^2 + 4x - 4

now, we have to find the value of f(3).

so, we have to put x = 3, in the expression.

we get,

f(x) = -4x^2 + 4x - 4

f(3) = -4* 9 + 4*3 -4

or, f(3) = -36 + 12 -4

or, f(3) = -28

Hence, The solution is the value of f(3) = -28.

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Answer:

-2

Step-by-step explanation: