The money was in the account for 6 years.
Explanation:To find the number of years the money was in the account, we can use the formula for simple interest: I = P * r * t, where I is the interest earned, P is the principal (initial amount), r is the interest rate, and t is the time in years. We are given that Deshawn earned $4485 in interest and the interest rate is 11.5%. Let's plug in these values and solve for t:
4485 = 6500 * 0.115 * t
Simplifying the equation gives us:
t = 4485 / (6500 * 0.115) ≈ 6.1337
Rounding to the nearest whole year, we can conclude that the money was in the account for 6 years.
How many products of 10 are in 10 to the 6th power
A 14-ounce box of cereal sells for $2.10. What is the unit rate?
Answer:
The unit rate is equal to [tex]0.15\frac{\$}{ounce}[/tex]
Step-by-step explanation:
we know that
The unit rate is the ratio of two measurements in which the second term is equal to one
In this problem to find the unit rate, divide the total cost of cereal by the total weight of cereal
so
[tex]\frac{2.10}{14}\frac{\$}{ounces} =0.15\frac{\$}{ounce}[/tex]
therefore
The unit rate is equal to [tex]0.15\frac{\$}{ounce}[/tex]
when you find less than 100% of a number how does your answer relate to the original number.... answers are the a) the numbers are equal b) it is less than the original number c) it is greater than the original number d) there is no relationship
b) it is less than the original number. Finding less than 100% of a number means the answer is b) less than the original number, since 100% represents the whole.
Explanation:When you find less than 100% of a number, the answer is b) it is less than the original number. This is because 100% of a number represents the number itself, so any percentage less than 100% means you're taking a part of the number which is smaller than the whole. For example, finding 50% of a number is the same as finding half of it - clearly, half of something is less than the whole.
Three more than twice the sum of a number and half the number equals 105. Which equation models this relationship?
Please help with 78 -2×4÷(14-6)×2
20 gallons is greater than or less than 75 quart
one season, the cougars won 20 games. they played 25 games. use equation 20+g=25 to find good, the number of games the team lost
the ratio of cats to dogs seen by a veternarian in one day is 2 to 5.If a vet saw 40 dogs in one day how many cats did he see
The model below can be used to find the quotient of 1/2 divided by 1/8 . What is the quotient?
A 1/16
B 2/5
C 2
D 4
Tina has 3/5 pound of rice. she will use 2/3 of it to make fried rice for her family. how much rice will Tina use to make fried rice?
Fraction number is the number which is expressed as a part of a whole.
Tina uses total 6/15 pounds of amount to make the fried rice.
What is fraction number?Fraction number is the number which is expressed as a part of a whole. The fraction number are written with numerator and a denominator.
Given information-
Total amount of rice Tina has 3/5 pound.
The amount she used to make the fried rice is 2/3.
As the the amount she has earlier is in the fraction number, and the she made the fried rice with again a fraction amount of the original quantity.
Thus to find the amount she used to make fried rice from the total amount ,we have to multiply the used rice to the total rice.
Suppose she used x amount of rice to make the fried rice from the total rice. Thus,
[tex]x={\dfrac{2}{3}}\times{\dfrac{3}{5}}[/tex]
[tex]x=\dfrac{6}{15}[/tex]
Hence Tina uses total 6/15 pounds of amount to make the fried rice.
Learn more about the fraction number here;
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Final answer:
Tina will use 2/5 of a pound of rice to make fried rice. This is determined by multiplying 3/5 (the total amount of rice she has) by 2/3 (the portion she will use) and simplifying the result.
Explanation:
To find out how much rice Tina will use to make fried rice for her family, we start by identifying the amount of rice she has, which is 3/5 pound of rice. Next, we need to calculate 2/3 of that quantity since she will use that fraction for the fried rice. To do this, we multiply 3/5 by 2/3.
First, multiply the numerators: 3 x 2 = 6.
Then, multiply the denominators: 5 x 3 = 15.
So, 3/5 x 2/3 = 6/15.
However, this fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 3. Therefore, 6/15 simplifies to 2/5.
The final answer is that Tina will use 2/5 of a pound of rice to make the fried rice.
Aaron has a budget of $100 per month to spend on lunch. He made a table showing the total amount of lunch money he will have left after the given number of lunches.
Number of lunches 0 5 10 15
Total amount of lunch money left ($) 100 75 50 25
Which equation, in standard form, represents the relationship between the number of lunches, x, and the amount of lunch money Aaron will have left, y?
x + 5y = 100
100x + y = 5
x + 100y = 5
5x + y = 100
Answer:
its D
Step-by-step explanation:
what is the reciprocal of 1/9
The reciprocal of a number is the number gotten when you flip or invert the fraction. Hence, the reciprocal of 1/9 is 9.
Explanation:The reciprocal of a number is calculated by flipping, or 'inverting', the fraction. It's essentially interchanging the numerator and denominator. In the case of 1/9, the reciprocal would be 9/1.
To clarify, the reciprocal of 1/9 is 9/1, which simplifies to 9. So, the reciprocal of 1/9 is 9.
The reciprocal of a fraction is obtained by taking the reciprocal of the numerator and denominator. To find the reciprocal of 1/9, we simply invert the fraction. Inverting means swapping the numerator and denominator. So the reciprocal of 1/9 is 9/1 or simply 9.
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17 - 2c for c = 7 what is the answer
The result of the expression 17 - 2c is 3, where c = 7.
What are Mathematical operators?
In mathematics, an expression is a group of numbers and operations. The components of a mathematical expression that perform an operation are as follows:
An operator is a symbol used to represent a mathematical operation. Examples include division, multiplication, addition, and subtraction.
Given, an expression 17 - 2c and value of c = 7
The value os expression for c =7
=> 17 - 2*7
=> 17 - 14
=> 3
therefore, The value of the expression 17 - 2c for c = 7 is 3.
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janelle has 3.6 yards of wire, whice she wants to use to make bracelets. she needs 0.3 yard for each bracelet. altogether, how many bracelets can janelle make?
Which expression demonstrates the distributive property applied to the expression 4(x + y)?
11 less than three times a number is the same as 75 less than the product of -1 and the number
A resturant bill comes to 28.35. find the total cost if the tax is 6.25 percent and a 20 percent tip is left on the amount
Answer:$35.79
Step-by-step explanation:
28.35*6.25%
tax=28.35*0.0625=1.77
28.35+20=5.65
total=30.12
$30.12+5.67
total$35.79
The question is Model 24% on a 5x5 grid.
The attachment to the grids are below.
Answer:
Option 2 is correct .
Step-by-step explanation:
Given : A big cube 5*5 which contains small 25 cubes
Solution :
Let 25 small cubes denotes 100%
So , 1% is denoted by : [tex]\frac{25}{100}[/tex]
So, 24 % is denoted by :
⇒[tex]\frac{25*24}{100}[/tex]
⇒[tex]6[/tex]
Thus to show 24% on 5*5 , 6 small cubes must be shaded .
In Option 2 , 6 small cubes are shaded.
Hence , Option 2 is correct .
Answer:
Option 2 is correct .
Step-by-step explanation:
Given : A big cube 5*5 which contains small 25 cubes
Solution :
Let 25 small cubes denotes 100%
So , 1% is denoted by :
So, 24 % is denoted by :
⇒
⇒
Thus to show 24% on 5*5 , 6 small cubes must be shaded .
In Option 2 , 6 small cubes are shaded.
Hence , Option 2 is correct .
how do you turn a decimal into a fraction
Solve the equation. -5x + 2 = 67
A drama club earns $1040 from a production. A total of 64 adult tickets and and 132 student tickets are sold. An adult ticket costs twice as much as a student ticket. • write a system of linear equations that represents this situation. • what is the cost of each ticket?
Bobbys collection of sports cards has 3/10 baseBall cards and 39/100 foo taller cards. THe rest are soccer cards. What fraction of bobby'se sports cards are baseballa or football cards?
How do you do this? Why's the answer??
mitt ate 24 peanuts this represents 75% of the bag of peanuts how many peanuts were originally in the bag
Molly and her sister each have 118 shells. How many shells do they have all together
what is the quotient of 2/9 divided by 4/15
The graph of g(x) is the graph of f(X) = x + 6 reflected across the x-axis. Which equation describes g?
g(x)= - x + 6
g(x)= - 6x - 6
g(x)= -x - 6
g(x)= x - 6
The reflection of a function across the x-axis changes the sign of the function. In this case, g(x) = -x - 6 is the correct equation representing the reflected graph.
Explanation:The correct equation that describes the graph g(x) reflected across the x-axis from f(x) = x + 6 is g(x) = -x - 6. When reflecting a function across the x-axis, the sign of the function changes in the equation. Therefore, g(x) would be obtained by changing the sign for the x-term in f(x).
Angles are preserved in which of the following types of transformations?
I. rotations
II. reflections
III. translations
A.
I and II only
B.
I only
C.
I, II and III
D.
I and III only
Answer:
Correct option is C
Step-by-step explanation:
we have to tell that in which type of transformation angle are preserved.
Rotation:
This transformation turns a figure about a fixed point and the fixed point is known as the centre of rotation. The figures which goes through rotation has same angle as that of original figure.
i.e Rotation transformation preserves angle.
Reflections:
This transformation flip a shape over a line.
Angles also preserve in this type of transformation.
Translations:
This transformation involves sliding a shape. The figure only translate right left i.e shape or angle preserve i.e not changed.
Hence, the angles are preserve in in all three type of transformations that are rotation, reflection and transformation.
∴ Correct option is C
All three types of transformations (rotations, reflections, and translations) preserve angles, making the correct answer C. I, II and III.
The question is about determining which types of transformations preserve angles.
There are three main types of transformations to consider: rotations, reflections, and translations.
Angle Preservation in Transformations
Rotations: This type of transformation preserves both distances and angles. When an object is rotated, the angles within the object remain unchanged.Reflections: A reflection across an axis also preserves angles, though it changes the orientation (handedness) of the figure.Translations: Moving an object from one place to another without rotating, reflecting, or resizing it also preserves the angles within the object.Because all three types of transformations (rotations, reflections, and translations) preserve angles, the correct answer is C. I, II and III.
rearrange 2y-6x=10 into the form y=mx+c?
Blueberries are on sale for $2.80 per pint. The regular price is $3.50 per pint.
What is the percent of decrease?
Select from the drop-down menu to correctly complete the statement.
Answer: The percent of decrease= 20 %.
Step-by-step explanation:
Regular price of blueberries= $3.50per pint
Current selling price=$2.80 per pint
Clearly, there is decrease in price as 'Current selling price' < 'Regular price'
Now, Decrease in price=Regular price-Current selling price
[tex]=\$3.50-\$2.80=\$0.70[/tex]
We know that Decrease percentage =[tex]\frac{\text{Decreased price}}{\text{Regular price}}\times100[/tex]
[tex]=\frac{0.70}{3.50}\times100\\=\frac{7}{35}\times100\\=\frac{1}{5}\times100\\=20\%[/tex]
Therefore, the percent of decrease= 20 %.