Solution-
Clare made $160 babysitting last summer. She put the money in a saving account that pays 3% interest per year.
It is a condition of compound interest with annually compounding.
We know that,
[tex]P'=P(1+r)^n[/tex]
Where,
P' = the money she will be getting after n years,
P = the money she deposited = $160
r = annual rate of interest = 3% = 0.03
n = number of years
Money she will be getting after 1 year
[tex]\Rightarrow P'=160(1+0.03)^1=160\times 1.03=\$164.8[/tex]
This is why when she multiply 1.03 with her current amount, she gets the amount she will be getting after one year.
Money she will be getting after 2 year
Taking current balance as $164.8 as at the end of one year it will be the base amount on which interest will be calculated,
[tex]\Rightarrow P'=168.8(1+0.03)^1=168.8\times 1.03=\$169.74[/tex]
Again by multiplying 1.03 she can get the amount of money she will be getting next year.
Money she will be getting after 5 year
P' = the money she will be getting after 5 years,
P = the money she deposited = $160
r = annual rate of interest = 3% = 0.03
n = 5
Putting the values,
[tex]\Rightarrow P'=160(1+0.03)^5=160\times 1.1593=\$185.49[/tex]
She will be getting $185.49 after 5 years.
We can also do this by calculating the amount of money she will be getting at the end of each year and multiplying it with 1.03 in order to get the amount of money she will be getting the next year.
Expression for the amount of money Clare would have after 30 years if she never withdraws money from the account-
[tex]\Rightarrow P'=160(1+0.03)^30[/tex]
This is the expression for the desired condition.
The amount of money Clare would have in her account after one year is $164.80.
The amount of money Clare would have in her account after two years is $169.74
The amount of money Clare would have in her account after five years is $185.48.
The expression that can be used to determine the amount of money Clare would have in her account after 30 years is 160(1.03^30)
How much would Clare have in her account?The formula for calculating future value:
FV = P (1 + r)^n
FV = Future value P = Present value R = interest rate N = number of yearsBalance after one year = 160 x (1.03) = $164.80
Balance after five years = 160 x (1.03^5) = 185.48
Balance after two years = 160 x (1.03^2) = 169.74
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Give me a short answer please and make sure ur right THANKS!
Don't you just add them together to get -33x^3?
1 1/3x2/3= what is the answer ? How do I do this?
1 1/3 is simplified to 4/3
multiply 4/3 * 2/3 =8/9
1 1/3 x 2/3 = 4/3 x 2/3 = 8/9 = 1 1/9
When you are multiplying fractions, you would multiply them like you would regular numbers. first, multiply the the numeraters together, then the denominaters together.
Example: 3/8 x 5/7 = 15/56
When you are multiplying whole fractions, you need to make them improper first before you multipy. Then you can multipy like normal.
Example: 2 3/4 x 6 2/4 = 11/4 x 26/4 = 286/16 (which can be simplified to 71 1/2
Hope this helps you!
the sum of three consecutive even integers is 258. write an equation ad solve to find the integers
The consecutive integers are 85,86,87
Explanation:
n
:
the first number
n
+
1
:
the second number
n
+
2
:
the third number
n
+
(
n
+
1
)
+
(
n
+
2
)
=
258
3
n
+
3
=
258
3
n
=
258
−
3
3
n
=
255
n
=
255
3
n
=
85
n
+
1
=
85
+
1
=
86
n
+
2
=
85
+
2
=
87
Ella has 50 stacks of ten pennies in each stack describe how to find how many pennies has in all
50 times 10 = 500 pennies
Liam had $250. Then, he and his classmates bought a present for their teacher, evenly splitting the $p cost among the 24 of them. How much money does Liam have left?
Answer:
250-p/24
Step-by-step explanation:
the amount of money Liam starts with= 250
Amount Liam on the present= p/24
Mason is skiing with friends he starts at an elevation of 420 feet he descends 600 feet down the mountain into a valley what is his elevation when he stops
420-600=-180 Hope this helps
Mason's ending elevation after descending 600 feet from a starting elevation of 420 feet is -180 feet, meaning he is below sea level.
To solve for Mason's elevation after his descent, we need to subtract the distance he traveled downward (600 feet) from his starting elevation (420 feet). We can represent this mathematically as:
Elevation after descent = Starting elevation - Descent
Elevation after descent = 420 feet - 600 feet
Elevation after descent = -180 feet
Therefore, when Mason stops, he is at an elevation of -180 feet. This means he is 180 feet below sea level, assuming the initial elevation is measured from sea level.
Drag the correct steps into order to solve the equation -3x – 6 = 18 for x.
The solution to the linear equation -3x - 6 = 18 is x = - 8
What is the solution of the equation?The solution of the linear equation is calculated as follows;
The given linear equation;
-3x - 6 = 18
Move the constant term to the other side of the equation.
-3x - 6 + 6 = 18 + 6
-3x = 24
Divide both sides of the equation by the coefficient of x (-3) to isolate x.
(-3x) / (-3) = 24 / (-3)
x = -8
Thus, the solution to the linear equation -3x - 6 = 18 is x = - 8
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Please need help on this one
The answer would be
A: (-2,5)
Hope this helped
which property is illustrated by the following statement? 50pts
2(-3/9)=(-3/9)2
Associative Property of Addition
Commutative Property of Multiplication*
Inverse Property of Multiplication
Commutative Property of Addition
* is the one i think it is. Am I Right?
When multiplying numbers, it doesn't matter which number is first or second.
The correct answer is: Commutative Property of Multiplication
Hi!
2(-3/9)=(-3/9)2
Answer - Communative Property of Multiplication
The reason thats the answer is because the fact that is dosent matter what number goes first or last, it will still be the same result.
Help me please on a math question?:)
What are the steps for using a compass and straightedge to construct the bisector of ∠A?
Image posted below
Drag the steps and drop them in order from start to finish.
1. Place the point of the compass on point B and draw an arc in the interior of the angle.
2. Without changing the opening of the compass, place the point of the compass on point C and draw another arc in the interior of the angle.
3. Use the straightedge to draw AD−→−.
4. Place the point of the compass on point A and draw an arc that intersects the sides of ∠A. Label the points of intersection as points B and C.
5. Label the intersection of the arcs in the interior of the angle as point D.
In order to construct the bisector of ∠A using a compass the steps are as following :
1) Place the point of the compass on point A and draw an arc that intersects the sides of ∠A. Label the points of intersection as points B and C.
2) Place the point of the compass on point B and draw an arc in the interior of the angle.
3) Without changing the opening of the compass, place the point of the compass on point C and draw another arc in the interior of the angle.
4) Label the intersection of the arcs in the interior of the angle as point D.
5) Use the straightedge to draw AD−→−.
Number d I need help with
Answer:
15 5/9 °C
Step-by-step explanation:
Put 60 where F is in the equation and do the arithmetic.
... C = (5/9)(60 -32) = (5/9)(28) = 140/9
... C = (135 +5)/9 = 15 5/9
What is 20% as a decimal
Answer is 0.2
To fnid the decimal, dovide the percentage by 100. 20/100 is 0.2.
I hope youre still around to read this
The correct answer is: " 0.2 " .
_____________________________________
20 % = 20/ 100 = 2/10 = 0.2 .
____________________________________
Fifteen percent of an employee’s taxable income is collected each paycheck. Before taxes are removed from each paycheck, $350 of tax-exempt expenses is taken out. If the variable x represents the employee’s pay before tax-exempt expenses and taxes are removed, which expression represents the employee’s take-home pay after these deductions?
Answer:
0.85(x - 350)
Step-by-step explanation:
Here "x" represents the pay before tax.
Take exempted amount = 350.
The taxable amount = x - 350.
The tax rate = 15% = 15/100 = 0.15
Take home pay after the tax deduction = Taxable amount - tax
= (x - 350) - 0.15(x - 350)
Now we have to simplify this.
= (x - 350)(1 - 0.15)
= (x - 350)(0.85)
The employee’s take-home pay after these deductions= $0.85(x - 350).
Thank you.
Answer:
The answer is option C
Step-by-step explanation:
Select true or false to tell whether the following conjunctions are true or false. Use the truth table if needed. A square root of 16 is 4 and the only square root of 9 is -3. True False
the 1st one is true but the 2nd one is not true
Jadyn prepares a bag of candy before a road trip. The bag contains individual pieces of Skittles, M&Ms, Life Savers and Sour Patch Kids. Of the candy, 1/2 are Skittles, 1/4 of the remaining pieces are M&Ms and 3/4 of the rest are Life Savers. The remaining pieces are Sour Patch Kids. What percent of the total pieces of candy are Sour Patch Kids?
Given condition is- The bag contains individual pieces of Skittles, M&Ms, Life Savers and Sour Patch Kids.
Let the total number of candies in the bag be = x
Then, Skittles are [tex]\frac{1x}{2}[/tex]
Candies left = [tex]x-\frac{x}{2}[/tex] = [tex]\frac{x}{2}[/tex]
M&Ms are = [tex]\frac{1x}{8}[/tex]
Now remaining candies are= [tex]\frac{3x}{8}[/tex]
Now Life savers are = [tex]\frac{9x}{32}[/tex]
Now adding all these 3 candies
[tex]\frac{x}{2}+ \frac{x}{8}+\frac{9x}{32}[/tex]
=[tex]\frac{29x}{32}[/tex]
Now the remaining candies sour patch will be =
[tex]x-\frac{29x}{32} =\frac{3x}{32}[/tex]
Hence, sour patch kids are [tex]\frac{3}{32}[/tex]
A pineapple is 7 times as heavy as an orange. the pineapple also weighs 870 grams more than the orange. what is the total weight in grams for the pineapple and orange
The orange weighs 145 grams.
The pineapple weights 7 times the orange = 7(145) = 1015 grams.
Help Question 1: Martina chose a random sample of 10 bags of candy from two different Brands, A and B. All bags in the sample are the same size. Martina counts the number of candy pieces in each bag and plots the results on two dot plots. A dot plot is shown. The title of the plot is Brand A. The line is numbered with tick marks at 40, 45, 50, 55, 60, 65, and 70 and is labeled Number of Candy Pieces. There are 2 dots at 52, 1 dot at 53, 2 dots at 55, 1 dot at 56, 2 dots at 57, and 2 dots at 62. A dot plot is shown. The title of the plot is Brand B. The line is numbered with tick marks at 40, 45, 50, 55, 60, 65, and 70 and is labeled Number of Candy Pieces. There is 1 dot at 44, 1 dot at 46, 2 dots at 52, 1 dot at 55, 1 dot at 62, 1 dot at 65, 2 dots at 67 and 1 dot at 69 Based on the plots, which statement is a valid comparison of the number of candies in the bags of the two Brands?
The number of candies in the bags from Brand B is greater and less consistent than the number of candies in the bags from Brand A is valid statement.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Lets compare the dot plots of the two brands.
In Brand A,
The number of candy pieces per bag ranges from 52 to 62, and the dots are relatively evenly spread out across this range.
In Brand B,
the number of candy pieces per bag ranges from 44 to 69, and the dots are more spread out, with a larger range of values.
As we observe the majority of the dots are clustered around 52, 55, 62, 65, and 67, indicating that these values are more common in Brand B than in Brand A.
Brand B has more dots in total than Brand A, suggesting that Brand B generally has more candy pieces per bag than Brand A..
Hence, the number of candies in the bags from Brand B is greater and less consistent than the number of candies in the bags from Brand A is valid statement.
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Complete question
Martina chose a random sample of 10 bags of candy from two different Brands, A and B. All bags in the sample are the same size. Martina counts the number of candy pieces in each bag and plots the results on two dot plots.
A dot plot is shown. The title of the plot is Brand A. The line is numbered with tick marks at 40, 45, 50, 55, 60, 65, and 70 and is labeled Number of Candy Pieces. There are 2 dots at 52, 1 dot at 53, 2 dots at 55, 1 dot at 56, 2 dots at 57, and 2 dots at 62. A dot plot is shown. The title of the plot is Brand B. The line is numbered with tick marks at 40, 45, 50, 55, 60, 65, and 70 and is labeled Number of Candy Pieces. There is 1 dot at 44, 1 dot at 46, 2 dots at 52, 1 dot at 55, 1 dot at 62, 1 dot at 65, 2 dots at 67 and 1 dot at 69
Based on the plots, which statement is a valid comparison of the number of candies in the bags of the two Brands?
A. The number of candies in the bags from Brand B is greater and more consistent than the number of candies in the bags from Brand A.
B. The number of candies in the bags from Brand B is greater and less consistent than the number of candies in the bags from Brand A.
C. The number of candies in the bags from Brand B is fewer and more consistent than the number of candies in the bags from Brand A.
D. The number of candies in the bags from brand B is fewer and less consistent than the number of candies in the bags from brand A.
Multiply.
14⋅25
Express your answer in simplest form.
29
320
13
110
Final answer:
To multiply 14 by 25, you multiply each digit of 25 by 14 individually and then sum the results, yielding a product of 350.
Explanation:
The student has asked to multiply 14 by 25 and express the answer in simplest form. Multiplication is a basic arithmetic operation, and it is a straightforward process. To multiply 14 by 25, you can use the following steps:
Multiply the ones digit of the second number by the first number: 5 x 14 = 70.
Multiply the tens digit of the second number by the first number: 2 x 14 = 28. Remember that since this 2 represents 20 in the number 25, the result (28) will actually represent 280 when you include it in the final answer.
Add the results from steps 1 and 2: 70 + 280 = 350.
Thus, the product of 14 and 25 is 350.
find the inverse of y=-12x+7
The inverse of the equation y = -12x + 7 is found by replacing 'y' with 'x' and 'x' with 'y', then solving the equation for y. The result is y = 1/12x - 7/12.
Explanation:The equations y = -12x + 7 is given, and you are asked to find the inverse of this equation. The first step to finding the inverse of a function is to replace 'y' with 'x' and 'x' with 'y'. So, our equation becomes x = -12y + 7. Now, you need to solve this equation for y to find the inverse function. You do this by subtracting 7 from both sides then dividing by -12, which yields: y = (-x + 7) / -12 or y = 1/12x - 7/12. This is the inverse of the given function.
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What is 0.98 times 7.3
7.154 is your answer to 0.98 times 7.3
Hello there.
This question is so easy to me.
[tex]0.98*7.3[/tex]
Explanation:
↓↓↓↓↓↓
Multiply without the decimal points, then you put in the decimal point in your answer.
[tex]98*73=7154[/tex]
0.98 it can also has two decimal places.
7.3 it can also has one decimal place.
Therefore, your answer it has three decimal places.
Answer⇒⇒7.154
Hope this helps!
Thank you for posting your question at here on Brainly.
Have a great day!
-Charlie
Use the equation y = 4x to answer the questions.
(a) Graph y = 4x. (b)
What is the slope of y = 4x and what does this mean?
Franceca has five more pineapples than filip. If Francesca has f pineapples, write an expression for the number of pineapples filip has
Five less then f
f-5
The expression for the number of pineapples Filip has, given that Francesca has 'f' pineapples and that she always has 5 more than Filip, is 'f - 5'. This algebraic expression signifies that Filip will always have five less than whatever amount Francesca has.
Explanation:The subject of your question relates to algebraic expressions, which is an essential concept in Mathematics. To create an expression that represents the number of pineapples that Filip has, we need to understand the relationship provided in the question, which is that Francesca has five more pineapples than Filip. If Francesca has 'f' pineapples, we can express the number of pineapples Filip has as 'f - 5' because Filip will always have five less than whatever amount Francesca has.
Here's why that is: Let's say Francesca has 10 pineapples. According to the question, Filip would have 10 (Francesca's pineapples) - 5 (since he has 5 less) = 5 pineapples. No matter how many pineapples Francesca has, if you subtract five from it, you get the number of pineapples that Filip has.
This example demonstrates how algebraic expressions are used to represent relationships or scenarios mathematically. Remember, 'f - 5' is the simplified form of the expression, and it illustrates the consistent difference of 5 pineapples between Francesca and Filip.
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Twelve less than the one fifth of a number is -7
The Convention Society Brought and planted 45 cherry trees.Each Tree Cost $367.Which was the total cost of planting the trees?
unit price for plant 367
no of Cherry plants 45
total amount $16515
So,
45 * 367 = 16515
Ans: $16515
842.72+412.38+1/8+1/2=
the answer will be 1255.725
For this case, we have the following expression:
[tex]x = 842.72+412.38+\frac{1}{8} +\frac{1}{2}[/tex]
We want to find the value of x
Simplifying we have to:
[tex]\frac{1}{8} = 0.125\\\\\frac{1}{2} = 0.5\\[/tex]
Therefore:
[tex]x = 842.72 + 412.38 + 0.125 + 0.5\\\\x = 1255.725\\[/tex]
Answer:
The value of the variable x is given by:
[tex]x = 1255.725[/tex]
7 hot dogs are sold for every 10 hamburgers sold. At this rate, how many hamburgers will be sold if 63 hot dogs are sold?
90 is the answer i did the math
write the fact family. for 6, 4, 24
6 times 4 is 24
4 times 6 is 24
24 divided by 6 is 4
24 divided by 4 is 6
what is the area of this Square
5*5= 25 square kilometers
-2 times g(4) when g(x) =-x squared+(4x)-11
Answer:
+22
Step-by-step explanation:
Given g(x) = -x^2 + 4x - 11, g(4) is -(4)^2 + 4(4) - 11, or just -11.
Then -2 times g(4) = -2(-11) = +22
shen baked b cookies. his family ate 11 of them. using b, write an expression for the number of cookies that remained.
Step-by-step explanation:
So, lets write out the equation you have right now.
B - 11 = ?
You can have B be whatever you want. It must be higher than 11 (unless your teacher or whoever your guardian is allows negative numbers). In this case, I will use 15.
B = 15
15 - 11 = ?
Solve the equation and you get 4. Simple!