In the simple interest formula a=p(1+rt), r can be solved by rearranging the formula to r = [a/p - 1] / t.
Explanation:The question involves the formula a=p(1+rt) which you would normally see in simple interest calculations in mathematics. Your task is to solve for r (the rate).
To do that, you could rearrange the formula: r = [a/p - 1] / t
So, to calculate r, you would subtract one from the quotient of a and p, then divide that result by t (the time).
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What is the equation of the graphed line?
enter answer in slope-intercept form in the box
Answer:
[tex]y=-\frac{9}{8}x+7[/tex]
Step-by-step explanation:
we know that
The equation of the line into slope intercept form is equal to
[tex]y=mx+b[/tex]
where
m is the slope
b is the y-coordinate of the y-intercept
In this problem we have
[tex]b=7[/tex] ------> because the point [tex](0,7)[/tex] is the y-intercept
point [tex](8,-2)[/tex]
substitute the value of x , y and b in the equation to solve for m
[tex]y=mx+b[/tex]------> [tex]-2=m(8)+7[/tex]
[tex]m(8)=-2-7[/tex]
[tex]m=-9/8[/tex]
therefore
the equation is equal to
[tex]y=-\frac{9}{8}x+7[/tex]
A weight of 15 ounces stretches a spring 10 inches. A weight of 24 ounces stretches the same spring 16 inches. How many inches does the spring stretch per ounce of additional weight?
The spring stretch 0.6 inches per ounce of additional weight.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, A weight of 15 ounces stretches a spring 10 inches.
∴ Inches increase of the spring per ounce of weight is the total increase in length divided by the total weight,
= (10/15) inches.
= 0.6 inches of increase in length per ounce.
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What equation is graphed in this figure? A- y−4=−23(x+2) B-y+2=−32(x−2) C-y−3=32(x+1) D- y+1=−23(x−3)
The correct answer would be y + 2 = - 3/2 ( x - 2 )
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A box of popcorn weighs 15/16 pounds. The box contains 1/3 buttered popcorn and 2/3 cheesy popcorn. How much does the cheesy popcorn weigh
The weight of the cheesy popcorn is 5/8 pounds.
To find the weight of the cheesy popcorn, we will calculate two-thirds of the total weight of the popcorn box, which weighs 15/16 pounds. Since the box contains two types of popcorn, buttered and cheesy, with the cheesy popcorn making up two-thirds of the box, we will simply multiply the total weight of the box by 2/3 to find our answer.
The calculation is as follows:
Total weight of the box = 15/16 pounds
Cheesy popcorn weight = (2/3) * (15/16)
Cheesy popcorn weight = (2 * 15) / (3 * 16)
Cheesy popcorn weight = 30 / 48
When simplified, this gives us 5/8 pounds
Therefore, to find the weight of the cheesy popcorn in a 15/16 pound box, calculate two-thirds of the box's total weight, which results in 5/8 pounds for the cheesy popcorn.
ryan has a board that is 5 feet long. how many 1/3-foot sections can he cut from this board?
Answer:
15
Step-by-step explanation:
What is 9.187 to the nearest tenth? And hundredth and one
If you multiplying by 1/4 makes a positive number smaller, then what does dividing by 1/4 do to the value of the number? Explain your reasoning
Division and multiplication are reciprocal operators.
Dividing the positive number by 1/4 will make the positive number bigger.
From the question, we understand that:
1/4 makes the positive number smaller, when it is multiplied to the positive number.
Because division and multiplication are reciprocals,
Dividing the positive number by 1/4 will make the positive number bigger.
Hence, what division does to the positive number is that: It makes it bigger
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Complete the table. Find the missing amounts of weight by applying the same value of the ratio as the first two rows.
Patricia donated 1 pint of blood to the blood bank. The lab assistant divided Patricia’s blood equally into 3 bags.
How much blood was in each bag?
Each bag contained [tex]\(\frac{1}{3}\)[/tex] pint of blood.
To solve the problem, we need to divide the total amount of blood donated by Patricia equally into 3 bags. Patricia donated 1 pint of blood.
Since there are 3 bags, we divide 1 pint by 3 to find out how much blood is in each bag.
The calculation is as follows:
[tex]\[ \text{Blood per bag} = \frac{\text{Total blood donated}}{\text{Number of bags}} \][/tex]
[tex]\[ \text{Blood per bag} = \frac{1 \text{ pint}}{3} \][/tex]
[tex]\[ \text{Blood per bag} = \frac{1}{3} \text{ pint} \][/tex]
Therefore, each bag contains [tex]\(\frac{1}{3}\)[/tex] pint of blood.
anna has 12 quarters 4 dimes 11 nickels in her piggy bank. how much money is in the bank
A) $3.00
B) $3.25
C) $3.75
D) $3.95
HURRY MATH QUESTION DOWN BELOW
HELP!!
Which story problem could be solved using the given equation?
1/5x2/3=m
A
Lucas needs a wooden strip that is 2/3 yard long for his boat model. He plans to cut the strip into pieces that are each 1/5 yards long. How many pieces can he cut from the 2/3 yard long strip?
B
Karen measured 2/3 cup of milk for a recipe. She then added another 1/5 cup of the milk to the recipe. How much milk did Karen use in the recipe?
C
Jasmine bought some tiles to put around her patio. Each tile has a length of 2/3 foot and a width of 1/5 foot. What is the area, in square feet, of each tile?
D
Lucas’s kitten is 2/3 foot tall. Jake’s kitten is 1/5 foot taller than Lucas’s kitten. How tall is Jake’s kitten?
the angle of elevation of the top of a building from a point 80 ft away from the building on level ground is 70° determine the buildings height
What is the area of figure EFGHI below?
Answer:
The answer is C.
Step-by-step explanation:
I learned about it.
1.9x=3x-36 Solve for X
2. 9z+10=1-3(5-3z) How many solutions does the equation have?
3.3y+10/4=2y what is the value of Y
4.2x+4=2(x+2) What statement about the equation is true
5.4(z-5) +2 =4z-18 how many solutions does this equation have
I am so stuck please explain to me how to do this. If you can do this, please do!
Directions: Write each decimal as a fraction or a mixed number.
10.9
00.8
4.125
0.0075
8.016
0.055
19.5% to a fraction
Wilbur went to the Halloween costume party at the Teen Center dressed as Romeo. Wendy was at the same party dressed as Juliet. As fate would have it, their eyes met across the crowded room, and they instantly fell in love. (Cheesy, right?) Unfortunately, they never got to talk to each other at the party and have been trying to find each other ever since! Wilbur went back to the Teen center 2 days after Halloween and goes back there every 13th day hoping to find his Juliet. Wendy went back to the Teen Center four days after Halloween and goes back there every 17th day looking for her beloved Romeo. When will they miss each other by just one day?
When will the meet?
Which of the following is not a possible value for a probability?
A. 0.001
B. 1/10
C. 11/10
D. 1/16
On Saturday morning Briana and her friends walked 1.35 miles. What is the distance as a mixed number?
A keyboard is on sale for $676. If this price represents a 20% discount from the original price, what is the original price to the nearest cent?
What is 3x5+2x8+2 do you know
Round 28.26 to one decimal place
Which unit rates would be appropriate for describing the amount of rainfall over time?
Select each correct answer.
meters per second
milliliters per minute
centimeters per day
inches per hour
The unit rate appropriate for describing the amount of rainfall over time is centimeters per day. Therefore, option C is the correct answer.
What is the unit rate?Unit rate can be defined as the ratio between two measurements with the second term as 1. It is considered to be different from a rate, in which a certain number of units of the first quantity is compared to one unit of the second quantity.
Here,
Rainfall amount is expressed as the quotient of a unit of height and a unit of time.
The way to choose the most appropriate is the relation between both quantities.
For example, "meters per second" is a way too high unit for the height (which is usually inches or millimeters, instead of meters) and way too low for the time unit (which is usually per day, not seconds). This unit would have a really small number for any rain.
The most common unit is "centimeters per day"
Then, we should find a unit rate with a small unit for height and a large unit for time.
Therefore, option C is the correct answer.
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Show how to multiply 6x298 using friendly numbers and then using properties and mental math. Write about which method you like better and why
In order to attract more advertisers to the arena during the sports events, the arena plans to offer advertising space as corporate prizes. 720 companies enter. 8 companies win. What is the probability of a company winning? give your answer as a fraction
Answer: [tex]\dfrac{1}{90}[/tex]
Step-by-step explanation:
Given : The total number of companies = 720
The number of companies won = 8
Now, the probability of a company winning is given by ;-
[tex]\text{P(winning)}=\dfrac{\text{Number of company wins}}{\text{ Total companies}}\\\\\Rightarrow\ \text{P(winning)}=\dfrac{8}{720}\\\\\Rightarrow\ \text{P(winning)}=\dfrac{1}{90}[/tex]
Hence, the probability of a company winning is [tex]\dfrac{1}{90}[/tex].
What's the exact value of tan(-4pi/3)
G(4)=x^2 + 3
And the steps to solve, please.
what is the square root of 49/121?
Solve for x. 4.6x<−15.64 Enter your answer, as an inequality, in the box.
The value of x in expression 4.6x < -15.64 will be equal to x < -3.4.
An expression 4.6x < -15.64 is given in the question.
We have to find that what will be the value of x.
What do you mean by inequalities ?
Inequalities are the expressions in which both sides are not equal and the equal sign in between is replaced by less than , greater than, etc.
As per the question ;
The given expression is ;
4.6x < -15.64
Let's solve it to get the value of x.
⇒ 4.6 x < -15.64
⇒ x < -15.64 / 4.6
⇒ x < -3.4
Thus , the value of x in expression 4.6x < -15.64 will be equal to x < -3.4.
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