i think the answer is 5% compounded annually for 2 years.
hope it helps
Answer:
Sami should invest in 1st case, to get the maximum money.
Step-by-step explanation:
Sami has $500 to invest.
We will use the compound interest formula :
[tex]A=p(1+r/n)^{nt}[/tex]
Case 1:
p = 500
r = 3% or 0.03
t = 4
n = 1
Putting the values in formula we get,
[tex]A=500(1+0.03/1)^{4}[/tex]
[tex]A=500(1.03)^{4}[/tex]
A = $562.75
Case 2:
p = 500
r = 4% or 0.04
n = 1
t = 3
Putting the values in formula we get,
[tex]A=500(1+0.04/1)^{3}[/tex]
[tex]A=500(1.04)^{3}[/tex]
A = $562.43
Case 3:
p = 500
r = 2.5% or 0.025
n = 3
t = 6
Putting the values in formula we get,
[tex]A=500(1+0.025/3)^{6}[/tex]
[tex]A=500(1.0083)^{6}[/tex]
A = $525.42
Case 4:
p = 500
r = 5% or 0.05
n = 1
t = 2
Putting the values in formula we get,
[tex]A=500(1+0.05/1)^{2}[/tex]
[tex]A=500(1.05)^{2}[/tex]
A = $551.25
Comparing all values we can see that case 1 has the highest amount.
Hence, Sami should invest in 1st case, to get the maximum money.
in the number 2.348 the underlined digit is 3 what does it round to if its in the tenths place
I assume the underlined digit tells you to round off to that place. In this case, the 3 is in the tenths place, so you need to round off 2.348 to the nearest tenth.
2.348
The 3 is in the tenths place. If you are asked to round off to the nearest tenth, then first, drop the digits to the right of the 3. Now you have 2.3, but we need to look at the next digit in the original number. The original number was 2.348, with a 4 to the right of the 3. Since 4 is less than 5, you just keep the rounded number as 2.3.
Answer: 2.3
I know the answer to the problem 94x27=2538 but can't figure out how to show my work in core math.
94*27=2538
90*20+4*7+20*4+90*7=2538
1800+28+80+630=2538
2538=2538
Which of the following describes the solution set for |-4+5x|=16? A{4}. B{4, -4}. C {4, -12/5}. D{-12/5}
Answer:
C: {4, -12/5}
Step-by-step explanation:
Let's actually solve |-4+5x|=16: Divide all 3 terms by 5. Then: |-4/5 + x| = 16/5.
If we were to graph this, the center (on a number line) would be at -4/5. Now if we add 16/5 to -4/5, we get 12/5, the larger solution; if we subtract 16/5 from -4/5, we get -20/5, the smaller solution, equivalent to -4. Correct answer choice is C.
This corresponds to option C.
The solution set for the absolute value equation |-4+5x|=16 can be found by considering both the positive and negative scenarios since an absolute value represents the distance a number is from zero on the number line, without regards to direction (positive or negative).
To find the solution set, we need to split the absolute value equation into two possible linear equations:
4 - 5x = 16-4 + 5x = -16Solving the first equation gives us:
5x = 16 + 45x = 20x = 4Solving the second equation gives us:
5x = 16 - 45x = 12x = 12/5x = 2.4However, x = 2.4 does not make sense in the context of our original problem, because we are looking for the negative solution when we consider the equation -4 + 5x = -16. The correct step is:
5x = -16 + 45x = -12x = -12/5Therefore, the correct solution set is {4, -12/5}, which corresponds to option C.
A shopper bought a 12-pound bag of oranges for $18.75 what is the unit price per ounce
Convert 12 pounds to ounces which is 192 ounces.
Divide the price by the ounces. That would get $0.09765625 rounded to $0.10 per ounce.
The unit price per ounce will be equal to $0.10.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
Given that:-
A shopper bought a 12-pound bag of oranges for $18.75 what is the unit price per ounceThe unit price per ounce will be calculated as:-
1 pound = 16 ounces
12 pounds = 12 x 16 = 192
Cost of 192 ounces = $18
Cost of unit ounce = 18 / 192
Cost of unit ounce = 0.095156 ≅ $0.10
Therefore the unit price per ounce will be equal to $0.10.
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What is the value of the expression “eight more than three time the difference of four and a number” when n=3?
Hey there!!
Let's take the number as ' n '
Three times the difference of a four and number.
... 3 ( 4 - n )
Eight more than the expression.
... 8 + 3 ( 4 - n )
' n ' is given as ' 3 '.
Plugging in :
... 8 + 3 ( 4 - 3 )
... 8 + 3 ( 1 )
... 8 + 3
... 11
The required answer is 11.
Hope my answer helps!!
In a recent year 22% of email users said they spend less time using email because of spam what fraction of email users is this
Answer:
22/100 divided by 2 equals 11/50
Step-by-step explanation:
22/100=11/50
22/100=22%
22/100=0.22
What is 2 6/25 minus 1 1/10 in simplest form
Answer:
1 7/50
Step-by-step explanation:
2 6/25= 2 12/50
1 1/10= 1 5/50
2 12/50-1 5/50= 1 7/50
Step by Step:
[tex]2\frac{6}{25} - 1\frac{1}{10}[/tex]
Subratact whole numbers 2-1: 1
Combine fractions [tex]\frac{6}{25} - \frac{1}{10}[/tex]: [tex]\frac{7}{50}[/tex]
1 + /frac{7}{50}
Answer:
A = 1/frac{7}{50}
Notes:
N/A
Need help to Solve A=TX, for X
A=TX
Rewrite it
Tx=a
Divide t both sides to get x alone
Tx/t=a/t
Solve
X= a/t
What is the solution of 4+sqrt5x+66=x+10
The solution for 4+√5x+66=x+10 is x=3 (option 2)
How to solve ?Given equation: 4+sqrt5x+66=x+10
Subtract 4 from both sides;
[tex]\sqrt(5x+66) = x+6[/tex]
Square both sides:
[tex]5x+66 = (x+6)^2[/tex]
Simplify further, we get:
[tex]5x + 66 = x^2 + 12x + 36[/tex]
[tex]x^2 + 12x - 5x + 36 - 66 = 0[/tex]
[tex]x^2 + 7x - 30 = 0[/tex]
Factor the equation to get:
[tex](x + 10)(x - 3) = 0[/tex]
[tex]x - 3 = 0[/tex]
[tex]x = 3[/tex]
Therefore, the solution of 4+√5x+66=x+10 is x=3 (option 2)
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Complete question:
What is the solution of 4+√5x+66=x+10?
1.x=-10
2.x=3
3.x=-10 or x=3
4.no solution
an employee is marking up new merchandise by 35%. the price they paid for an item is $120. what price will the employee place on the item?
A:$150
B:$155
C:$165
D:$162
please show work thank you!
The table shows the side lengths and perimeters of four squares. Side Length (x) Perimeter (y) 4.5 18 8.5 34 10.25 41 13.75 55 Which equation represents the relationship between the side length, x, and the perimeter, y?
Answer:
The equation will be: [tex]y=4x[/tex]
Step-by-step explanation:
Side lengths[tex](x)[/tex] ⇒ 4.5 8.5 10.25 13.75
Perimeter [tex](y)[/tex] ⇒ 18 34 41 55
First we will pick any two ordered pairs in form of point like [tex](x,y)[/tex]. So, here [tex](x_{1}, y_{1})= (4.5, 18)[/tex] and [tex](x_{2}, y_{2})= (8.5, 34)[/tex]
Now, the slope will be: [tex]m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}= \frac{34-18}{8.5-4.5}=\frac{16}{4}=4[/tex]
So, the equation using the point-slope form will be..............
[tex]y-y_{1}=m(x-x_{1})\\ \\ y-18=4(x-4.5)\\ \\ y-18=4x-18\\ \\ y=4x[/tex]
Thus, the equation that represents the relationship between the side length[tex](x)[/tex] and the perimeter[tex](y)[/tex] will be: [tex]y=4x[/tex]
Answer:
y=4x
Step-by-step explanation:
Which expression is equal to f(x) + g(x)
Answer.
The Answer is C.
What is the pattern rule for this pattern 5-8-14-23-55?
Final answer:
The sequence 5-8-14-23-55 does not follow a clear linear or geometric pattern rule based on the differences between its terms. A simple pattern is not evident, and more context is required to determine if there's a complex rule or an error with the given numbers.
Explanation:
The sequence provided, 5-8-14-23-55, does not have a clear linear or geometric progression that is immediately evident. To determine the pattern rule, we need to look at the differences between successive terms:
8 - 5 = 3
14 - 8 = 6
23 - 14 = 9
55 - 23 = 32
The differences between the first few terms are incremental by 3, but the last increment does not follow this progression. Therefore, there is no single common pattern rule applicable to the entire sequence given. If more context or additional numbers in the sequence are provided, it may be possible to discern a more complex rule or recognize if the last term is an error.
is square meters a type of surface area
Yes square meters is a type of surface area.
What is the perimeter of a triangle with sides 14 in 8 in and 16 in in length
Answer: The answer to this question is 38 in.
Step-by-step explanation: All we have to do here is to add all the sides and here's the formula P=s+s+s where s stands for side. We substitute in the values P= 14+8=16 and the result is P= 38 in. Hope this helps!
a construction crew built 4 1/2 miles of Road and 3 3/8 days. What is the unit rate in miles per day? Write your answer as a fraction or mixed number in simplest form.
The construction crew took [tex]3\frac{3}{8}[/tex] days to build [tex]4\frac{1}{2}[/tex] miles of road.
Therefore, in 1 day, the crew built [tex]\frac{4\frac{1}{2} }{3\frac{3}{8} }[/tex] miles of road
= [tex]\frac{\frac{9}{2} }{\frac{27}{8} } =\frac{9}{2}times\frac{8}{27}=\frac{4}{3}[/tex] miles of road
Thus, the required rate is [tex]\frac{4}{3}[/tex] miles or [tex]1\frac{1}{3}[/tex] miles per day.
George claims that he is 3 years less than 3 times as old as his niece Pam will be one year from now. Let p= Pam’s age now. Write an expression to represent George’s age. Then simplify the expression.
G = George's age
G = 3(P+1) - 3
G = 3P + 3 - 3
G = 3P
whats the estimate of 1.537 times 242 and answer
Note that you are estimating.
Estimate each to the nearest whole number
Note that when rounding, look at the digit to the right of the one you want to round to. If the digit is 5 or greater round up, if 4 and lower, round down.
1.537 rounded to the nearest whole number is 2
2 x 242 = 484
484 is your answer
hope this helps
joe can run the 440 yard dash in 55 seconds, and Jack can run it in 88 seconds. How great a handicap must joe give Jack for the boys to finish the race at the same time?
88-55=33
33 second handicap
Joe must give Jake a 33 second catch up time period
Perform the indicated operation.
1/3÷3/8
A) 1/8
B)8/9
C)1 1/8
1/3÷3/8
Multiply by reciprocal
1/ 3÷ 8/3
Now multiply across
1×8/3×3
Solve
8/9
Your answer is b .
REVIEW:
Numerator is the number on the top in a fraction. Denominator is the number at the bottom of a fraction.
[tex]\frac{1}{2} \rightarrow \frac{numerator}{denominator}[/tex]
Here is your equation:
[tex]\frac{1}{3} \div \frac{3}{8}[/tex]
When dividing fractions, you have to Keep, Change, then Flip.
[tex]Keep\ \frac{1}{3} \\ Change\ \div\ to\ \times \\ Flip\ \frac{3}{8} \rightarrow \frac{8}{3}[/tex]
Here is your new equation:
[tex]\frac{1}{3} \times \frac{8}{3}[/tex]
Multiply the numerators and denominators together:
[tex]\frac{1}{3} \times \frac{8}{3} = \frac{8}{9}[/tex]
Your answer is A. [tex]\frac{8}{9}[/tex]
If you have any questions, feel free to ask! :)
**PLEASE NEED HELP BADLY ASAP**
Minimum value is when x = 6 and y = -7
Answer
C) (6 , -7)
The minimum would be the lowest point of the line.
The lowest point in the picture is in the lower right hand corner which is located at (6,-7)
How many $1 bills are the same as one $100 bill?
The number of the bills will be 100 to equate to $100 bills.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that a $1 bills are the same as one $100 bill. the number of the bills will be calculated as:-
Number = 100 x 1 = 100
Therefore, the number of bills will be 100 to equate to $100 bills.
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Diana sold 336 muffins at the bake sale bob sold 287 muffins. Bob estimates that he sold 50 fewer muffins than Diana. How did he estimate? Explain
he subtracted both numbers and got 49
The table shows the profits (y) in millions of dollars for Buffalo Wild Wings for each year (x) from 2007 through 2013, where x=7 represents 2007.
Year x | Profits y
7 | 19.7
8 | 24.4
9 | 30.7
10 | 38.4
11 | 50.4
12 | 57.3
13 | 71.6
a.) sketch a graph
b.) use the slopes to determine the years in which the profits showed the greatest or least increases.
c.) find the equation of a line between 2007 and 2013
d.) interpret meaning of the slope and line from part (c) in the context of the problem
e) use the equation from part (c) to estimate the profit for Buffalo wild wings in 2017. Do you think that it is an accurate estimate. Explain.
a) See attached diagram.
b) The slope can be obtained by the formula:
[tex]m_i=\dfrac{y_{i+1}-y_i}{x_{i+1}-x_i}.[/tex]
Now
[tex]m_1=\dfrac{24.4-19.7}{8-7}=4.7;[/tex][tex]m_2=\dfrac{30.7-24.4}{9-8}=6.3;[/tex][tex]m_3=\dfrac{38.4-30.7}{10-9}=7.7;[/tex][tex]m_4=\dfrac{50.4-38.4}{11-10}=12;[/tex][tex]m_5=\dfrac{57.3-50.4}{12-11}=6.9;[/tex][tex]m_6=\dfrac{71.6-57.3}{13-12}=14.3;[/tex]The greatest increases were from 2012 till 2013 years and the least increases were from 2007 till 2008 years.
c) Using graphing calculator, the equation of the line (black line in the diagram) is
[tex]y\approx 0.71x^2-5.58x+23.76.[/tex]
d) Since the slopes are different, this line is not straight. From the given data you can predict that the "best fit" is quadratic function.
e) In 2017, find
[tex]y(17)\approx 0.71\cdot 17^2-5.58\cdot 17+23.76\approx 134.09[/tex]
Answer:
Step-by-step explanation:
You and your mom enter a drawing with 3 different prizes. A total of 8 people entered the drawing, and prizes are awarded randomly.There are 336 ways to award the prizes.What is the probability that you win first prize and your mom wins second prize?
A. 8/336
B. 1/8
C. 6/336
D. 1/336
Answer: [tex]\frac{6}{336}[/tex]
Step-by-step explanation:
Given: The Number of different prizes = 3
The number of people entered the drawing room = 8
The number of ways to select for 3 prizes, such that you win first prize and your mom wins second prize = You × Mom × Rest of people
[tex]1\times1\times(8-2)=1\times6=6[/tex]
The total number of ways to award the prizes = 336
Therefore, the probability that you win first prize and your mom wins second prize=[tex]\frac{6}{336}[/tex]
Describe how you can use make a ten strategy to find the sum 7+9.
Help please 2 grade,
To find the sum of 7+9 using the make a ten strategy, start with the larger number, add 1 to it to make it 10, subtract 1 from the other number, and then add the resulting numbers together.
Explanation:Using the make a ten strategy to find the sum 7+9:Start with the larger number, which is 9.Add 1 to make it 10.Subtract 1 from the other number, which is 7. Now it becomes 6.Add the two new numbers: 10 + 6 = 16.So, the sum of 7 + 9 is 16.
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what is the result of converting 2.3 miles into yard? remember that 1 mile =1760 yards.
Mandana is ordering new tile for her kitchen floor. The area of the floor is 119.9 square feet, and she wants to order between 15% and 20% extra of the materials. Which of the following is a reasonable amount of tile for Mandana to order?
A.
134 square feet
B.
140 square feet
C.
137 square feet
D.
145 square feet
To find a reasonable amount of tile for Mandana to order, we need to calculate 15% and 20% of the area of her kitchen floor and add that to the original area. Therefore, options B and D can be considered as reasonable amounts of tile for Mandana to order.
Explanation:To find a reasonable amount of tile for Mandana to order, we need to calculate 15% and 20% of the area of her kitchen floor and add that to the original area.
15% of 119.9 square feet is 0.15 * 119.9 = 17.985 (approximately 18 square feet).
20% of 119.9 square feet is 0.20 * 119.9 = 23.98 (approximately 24 square feet).
Adding the additional tile to the original area, the reasonable amounts of tile for Mandana to order would be:
A. 119.9 + 18 = 137.9 square feet (approximately 138 square feet)B. 119.9 + 24 = 143.9 square feet (approximately 144 square feet)C. 119.9 + 18 = 137.9 square feet (approximately 138 square feet)D. 119.9 + 24 = 143.9 square feet (approximately 144 square feet)Therefore, both options B and D, which are 140 and 145 square feet respectively, can be considered as reasonable amounts of tile for Mandana to order.
Final answer:
To find a reasonable amount of tile for Mandana to order, calculate the range of 15% to 20% extra of the materials by multiplying the area of the floor by each percentage. Add the extra amount to the area of the floor to get the reasonable amount of tile to order.
Explanation:
To find a reasonable amount of tile for Mandana to order, we need to calculate the range of 15% to 20% extra of the materials she needs. First, we find the extra amount by multiplying the area of the floor by each percentage. The extra amount ranges from 17.985 to 23.98 square feet. Finally, we add the extra amount to the area of the floor to get the reasonable amount of tile to order, which ranges from 137.985 to 143.98 square feet. Therefore, option C (137 square feet) is a reasonable amount of tile for Mandana to order.
which equations are equal to x+x+x+2
x times 3 plus 2: answer
The ratio of chocolate cookies to sugar cookies in a bakery box is 2:1. What is the ratio of sugar cookies to total cookies?