Answer:
Approximately 12.25%
Step-by-step explanation:
The compound interest formula is:
Final balance = Principal * (1 + interest rate/number of times interest compounded per year)^(number of times interest compounded per year * years elapsed)
If we want our final balance to be twice our principal, our formula looks like:
[tex]2P = P * (1 + \frac{r}{1})^{1*6}[/tex]
We can divide our principal from both sides to get the following equation:
[tex]2 = (1 + \frac{r}{1})^{6}[/tex]
Since anything divided by 1 is itself, we can simplify a little further to:
[tex]2 = (1 + r)^{6}[/tex]
Now, we need to solve for r. We can start by taking the sixth root of both sides.
[tex]\sqrt[6]{2} = 1 + r[/tex]
Then subtract 1 from both sides:
[tex]\sqrt[6]{2} -1 = r[/tex]
Finally, we can use a calculator to get a decimal approximation:
0.1225 ≅ r
Calculate Unit Rates
please help
Find the unit rate for each problem.
Answer:
1. 3 tacos per person
2. 8 chairs per table
3. 6 avocados per bag
Step-by-step explanation:
1) Divide 45 by 15 to get the unit rate: # of taco per person.
45 = 15x
45/15 = 15x/15
3 = x
3 tacos per person
2) Divide 72 by 9 to get the unit rate: # of chairs per table.
72 = 9x
72/9 = 9x/9
8 = x
8 chairs per table
3) Divide 42 by 7 to get the unit rate: # of avocados per bag.
42 = 7x
42/7 = 7x/7
6 = x
6 avocados per bag
Solve for x
………………..
Jared got 15.00 from his mom. He all ready had some money in his pocket. He then bought a dvd for 12.95 Write an expression on how much Jared has left
Answer:
$15.00 - $12.95 = $2.05
Step-by-step explanation:
Jared has $2.05 left
4. On Monday, a department store sold 30 white and blue sweaters in total. If a white sweater is 398 baht, and a blue sweater is 420 baht, the total sales are 12,424 baht. How many sweaters in each color did this department store sell?
The number of white sweaters will be 8 while the number of blue sweaters will be 22.
Let white sweaters be represented by w.Let blue sweaters be represented by bTherefore, the equation to solve the question will be:
b + w = 30 .....i
420b + 398w = 12424 .... ii
From equation i, b = 30 - w
Since 420b + 398w = 12424
420(30 - w) + 398w = 12424
12600 - 420w + 398w = 12424
Collect like terms
- 420w + 398w = 12424 - 12600
-22w = - 176
w = 176/22 = 8
Since b + w = 308
b = 30 - 8 = 22
Therefore, there are 8 white and 22 blue sweaters.
Read related link on:
https://brainly.com/question/25734188
Lyla grew 16 flowers with 2 seed packets.
How many seed packets does Lyla need to have
a total of 40 flowers in her garden?
Assume the relationship is directly proportional.
seed packets
Help now.no spam.no links PLEASE HELP NOW.
Answer:
Lyla needs 5 seed packets to have a total of 40 flowers.
Hope this helps!
Step-by-step explanation:
16 / 2 = 8
Lyla can grow 8 flowers using 1 seed packet.
(5) 8 <- (5) 1
40 <- 5
Lyla can grow 40 flowers using 5 seed packets.
Find the slope of the line that passes through each pair of points (8,2) (8, -1)
Answer:
Undefined
Step-by-step explanation:
Use the following formula to solve for slope:
[tex]\frac{y_2-y_1}{x_2-x_1} =m[/tex]
[tex]m=\frac{(-1)-2}{8-8}[/tex]
[tex]m=\frac{-3}{0}[/tex]
The equation is not a function and therefore the slope is undefined because there are multiple y values for a single x value.
15% of the skittles in andy's bag are green. if 9 of them are green, how many skittles are in the bag
Answer:
60
Step-by-step explanation:
9/15 = 0.60
0.60 * 100 = 60
60 skittles are in the bag
if (x-10) is a factor of f(x), which of the following must be true? (50 points)
A. Neither x= -10 or x=10 are roots of f(x)
B. f(-10)=0
C.f(10)=0
D. Both x=10 and x=-10 are roots of f(x)
Answer:
C, f(10)=0
Step-by-step explanation:
Just replace x-10 into f
I need to know the answer to 2 1/3 x 4/5
Answer:
Simplify the expression.
Exact Form:
28/15
Decimal Form:
1.8¯6
Mixed Number Form:
1 13/15
Step-by-step explanation:
Answer:
Step-by-step explanation:
Convert 2 1/3 to improper fraction
[tex]2\dfrac{1}{3}*\dfrac{4}{5}=\dfrac{7}{3}*\dfrac{4}{5}\\\\\\=\dfrac{7*4}{3*5}\\\\\\=\dfrac{28}{15}\\\\= 1\dfrac{13}{15}[/tex]
There are 60 pupils in the library. The boys are 14 more than the girls. How many girls are there in the library?
Answer:
32
Step-by-step explanation:
Trust me its hard to explain.
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!7
Answer:
I think B is the answerStep-by-step explanation:
Pls make me brainliestImsureeeeeeee123
Ruth wants to purchase a new video game that costs $59.00 and several bags of chips that sell for $1.99 each. She can spend no more than $75.00. Which inequality and its solution represents her possible purchase?
Answer:
1.99c + 59 ≥ 75, where c ≥ 8.04
Step-by-step explanation:
Decide which of the following numbers does not belong in the group.
108
502
603
360
And why does it not belong?
Answer:
603 because it’s odd
360 because it doesn’t have a 0 in the tens place
502 because the sum of the digits doesn’t equal 9
evaluate the expression when c=4and d=6
36/c +d
Answer:
15
Step-by-step explanation:
36/c + d = 36/4 + 6 = 9 + 6 = 15
please help me with this. I will give brainliest to whoever gets the question right. attachment below.
Answer:
22100
Step-by-step explanation:
First you would add the truckloads of concrete for both playgrounds (3 5/8 + 3 5/8 + 1 9/10). Then you would divide that by 1/2. Finally multiply that number by 2000. (Pls mark me the brainliest)
What is meant by Sets ?
Answer:
In mathematics, a set is a collection of elements. The elements that make up a set can be any kind of mathematical objects: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets. The set with no element is the empty set; a set with a single element is a singleton.
Annette's mom made snacks for her party. She made 181 snacks and there are 27 students. How many more snacks does she need to make in order for each student to receive 7 snacks?
181 snacks
27 students
to find:How many snacks she need to make in order for each student to receive 7 snacks.
solution:[tex]7 \times 27[/tex]
[tex] = 189[/tex]
[tex]189 - 181[/tex]
[tex] = 8[/tex]
therefore, she needs to make 8 more snacks in order for each student to receive 7 snacks.
Points S, Q, R, and T all lie on the same line; Given. Arrows are drawn from this statement to the following three statements. Statement 1: The measure of angle SQT equals 180 degrees; Reason 1: Definition of a Straight Angle. Statement 2: The measure of angle SQV plus the measure of angle VQT equals the measure of angle SQT; Reason 2: Angle Addition Postulate. Statement 3: The measure of angle SQV plus the measure of angle VQT equals 180 degrees; Reason 3: Substitution Property of Equality. Lines UV and WZ are parallel; Given. An arrow is drawn from this statement to the following statements. Statement 4: The measure of angle VQT plus the measure of angle ZRS equals 180 degrees; Reason A. Statement 5: The measure of angle SQV plus the measure of angle VQT equals the measure of angle VQT plus the measure of angle ZRS; Reason B. An arrow also points from Statement 3 to Statement 5. An arrow from Statement 5 points to the following statements. Statement 6: The measure of angle SQV plus the measure of angle VQT minus the measure of angle VQT equals the measure of angle VQT plus the measure of angle ZRS minus the measure of angle VQT, the measure of angle SQV equals the measure of angle ZRS; Reason C. Statement 7: The measure of angle SQV is congruent to the measure of angle ZRS; Definition of Congruency.
Which theorem accurately completes Reason A?
Alternate Interior Angles Theorem
Corresponding Angles Theorem
Alternate Exterior Angles Theorem
Same-Side Interior Angles Theorem
9514 1404 393
Answer:
(d) Same-Side Interior Angles Theorem
Step-by-step explanation:
Of the offered choices, only one deals with supplementary angles:
Same-Side Interior Angles Theorem
_____
A diagram would be helpful. We have to assume here that WZ passes through R, and that Z is on the same side of ST as is V. If that is not the case, then the problem makes no sense.
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!4
Answer:
C
Step-by-step explanation:
The line would be dotted since it's > not ≥. You would shade above the line since it's greater than, not less than.
You don't need to graph the line to choose the correct answer, but if you would like to:
y - 3 > 2x + 2
y > 2x + 5
PLEASE HELP GEOMETRY IS SO HARD PLEASE
tell me if i need to add or delete an answer
Answer:
where is questions asking
5 4/6-4 2/3 ÷ 3 2/3?
Answer:
145/33
Step-by-step explanation:
Assuming what you wrote was mixed fractions, this is how to do the question.
Do the division first and then subtract that from 5 4/6/
Cuál es grado absoluto de
3x²yz²/4
Answer:
i dont speak espanish puto
Step-by-step explanation:
Can you figure out if the slopes are parallel, perpendicular or neither and type the correct code? Please remember to type in ALL CAPS with no spaces.
Answer:
1. C, 2. A, 3. C, 4. B
Step-by-step explanation:
Parallel: slopes are equal. In problem 2, the slopes appear to be 2 ("rise over run") One line passes through points (2, 1) and (3, 3) -- y increases by 2 if x increases by 1. The other line passes through points (0, 3) and (1, 5) -- y increases by 2 if x increases by 1. The lines have the same slope.
Perpendicular: slopes are opposite reciprocals (they have opposite signs). In problem 4, that happens: 2/3 and -3/2. That is not the relationship between slopes in problem 3. 1/3 and 3 are not opposite reciprocals.
Corrected! #4 is B (perpendicular)
432 + 26 × 10 (Use PEMDAS and show steps to how you got the answer) Plsss help me somebody :)
Using PEMDAS, the result of the expression is 692
The expression is given as:
432 + 26 * 10
Using PEMDAS, we start by evaluating the products
So, we have:
432 + 26 * 10 = 432 + 260
Using PEMDAS, we then evaluate the sum
432 + 26 * 10 = 692
Hence, the result of the expression is 692
Read more about mathematical operations at:
https://brainly.com/question/2475734
What are the roots of the equation?
5x^3 + 45x^2+ 70x = 0
A) -2, 0, 7
B) -7, -3, 0
C) -7, 0 , 2
D) 0, 2, 7
Answer:
D) 0, 2, 7
Step-by-step explanation:
Hope this helps
-10x + 2y = 12
What is each equation in slope intercept form
Answer:
[tex]y = 5\, x + 6[/tex].
Step-by-step explanation:
The slope-intercept equation of a line in a plane should be in the form [tex]y = m\, x + b[/tex] for some constant [tex]m[/tex] ("slope") and constant [tex]b[/tex] ([tex]y[/tex]-"intercept".)
In the slope-intercept equation, [tex]y[/tex] should be the only term on the left-hand side of the equation with a coefficient of [tex]1[/tex]. No term on the right-hand side shall include [tex]y\![/tex].
Rewrite the given equation to obtain the slope-intercept equation of this line.
[tex](10\, x) + (-10\, x) + 2\, y = (10\, x) + 12[/tex] (Add [tex]10\, x[/tex] to both sides of this equation.)
[tex]2\, y = 10\, x + 12[/tex].
[tex]y = 5\, x + 6[/tex]. (Divide both sides by [tex]2[/tex], such that the coefficient of [tex]y[/tex] becomes [tex]1[/tex] as required.)
Therefore, the slope-intercept equation of this line would be [tex]y = 5\, x + 6[/tex], with slope [tex]m = 5[/tex] and [tex]y[/tex]-intercept [tex]b = 6[/tex].
Can anyone help me with this question?
Answer:
sorry I can't I am too young
Step-by-step explanation:
guys i NEED your help if i cant answer this im DEAD ill give you 100 pts AND brainlest PLS HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
The correct answer for this question is answer B
Answer:
B. 1 1/7Step-by-step explanation:
- 9 2/7 - ( - 10 3/7) =- 9 2/7 + 10 3/7 = 10 - 9 + 3/7 - 2/7 = 1 1/7Correct choice is B
Twenty five less than two times x is equal to 6
Fill in the blanks with one of the following symbols ∈, ∉, ⊆,
⊆, ⊂, or ⊄ to make each statement true.
6 ______{f, g. h, i,j, k, l}