Using compound interest, it is found that the coke will actually cost him $5.50.
Compound interest:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.In this problem:
The coke is bought for $1.85, hence [tex]P = 1.85[/tex].The interest rate is of 22%, hence [tex]r = 0.22[/tex].It is compounded monthly, hence [tex]n = 12[/tex].Five years, hence [tex]n = 5[/tex]Then:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A(5) = 1.85\left(1 + \frac{0.22}{12}\right)^{12(5)}[/tex]
[tex]A(5) = 5.50[/tex]
The coke will actually cost him $5.50.
A similar problem is given at https://brainly.com/question/14239300
Write the equation of the line in fully simplified slope-intercept form.
Answer:
y=-2x+5
Step-by-step explanation:
Use slope intercept form (y=mx+b) to plug in the values for m and b
geometry solve for X
emma makes 21 laps during a 5 minute song how many laps per minute did emma make how do I show my work?
Answer:
4.2 laps per minute
Step-by-step explanation:
21laps/5min = 4.2laps/1min
Help! I don't know if this is correct.
Answer:
alternate interior angles, alternate exterior angles, CORRESPONDING angles, VERTICAL angles
Step-by-step explanation:
The first two are correct but you mixed up the last two.
Corresponding angles have to be on parallel lines.
Vertical angles are opposite angles created by an intersecting line.
Hope this helps!!!
A tank pumps out liquid at a rate of 12 gallons every 20 days. What is the unit rate in gallons per week?
Answer:
4.2
Step-by-step explanation:
simplify 12 and 20 to 6 and 10 then divide 6 by 10 and multiply by 7 to get the answer.
The unit rate or rate of change of gallons per week will be 4.2 gallons/week.
What is the rate of change?The rate of change is the change of a quantity over 1 unit of another quantity.
Most of the time the rate of change is the change with respect to time.
For example the speed 3meter/second.
As per the given,
12 gallons in every 20 days,
The unit rate per day will be as,
12/20 = 0.6 gallons per day
It is known that, 1 week = 7 days,
Unit rate per week = 0.6 x 7 = 4.2 gallons/week
Hence "The unit rate, often known as the rate of change, will be 4.2 gallons per week".
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Answer Today Please! No Links or empty Answers... or it'll break my brainly... if not then it will just be deleted... im serous, virus links have broken my brainly to the point that it wont allow new answers.
Screenshot will show answer choices, the angle shape, & a better version of the question im asking
Which Square Root most accurately depicts the point below (in the screenshot)
I'll give 5 stars if its correct, 4 if its not exact but its still correct, and 3 if its incorrect...
last Question Asked: https://brainly.com/question/25620054
Step-by-step explanation:
option C is correct!
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE
find 3 1/6 + (-4 1/3).
Answer:
-1 1/6
Step-by-step explanation:
[tex]3\frac{1}{6} + (-4\frac{1}{3} )[/tex]
Convert the mixed numbers into improper fractions
[tex]\frac{19}{6} + (-\frac{13}{3} )[/tex]
Apply the rule: a + (-b) = a - b
[tex]\frac{19}{6} + (-\frac{13}{3} ) = \frac{19}{6} - \frac{13}{3}[/tex]
The Least Common Multiplier of 6 and 3 is 6
Adjust the fractions on the LCM
[tex]\frac{19}{6} - \frac{26}{3}[/tex]
Apply the Fraction Rule: [tex]\frac{a}{c} -\frac{b}{c} = \frac{a - b}{c}[/tex]
[tex]\frac{19 - 26}{6}[/tex]
Subtract the numbers
[tex]\frac{-7}{6}[/tex]
Apply the Fraction Rule: [tex]\frac{-a}{b} = - \frac{a}{b}[/tex]
[tex]-\frac{7}{6}[/tex]
Convert improper fraction into a mixed number
[tex]-1\frac{1}{6}[/tex]
Hope this Helps :)
write a linear function
Answer:
The equation of a linear function is expressed as: y = mx + b where m is the slope of the line or how steep it is, b represents the y-intercept or where the graph crosses the y-axis and x and y represent points on the graph.
Step-by-step explanation:
Can someone pls help me
Solve for x
Please show your work
Answer:
Hence, the value of x is 9°
Step-by-step explanation:
7x + 14 = 9x - 4. [(Corres. ∠s]
⇛ 7x - 9x = -4 - 14
⇛-2x = -18
⇛x = -18÷-2
⇛x = 18/2
∴ x = 9
NOW,
7X + 14 = 7(9) + 14 = 63 + 14 = 77°.9X-4 = 9(9) - 4 = 81 - 4 = 78°.Read more:
Similar Question
find the measure of angle 1, given that AB || CD...
https://brainly.com/question/3983123?referrer
.15 x (-0.6)
help me please
The answer is −0.09
It should be simple multiplication.
I hope this helps!
Ten times the sum of a number and 12 is 84.
Answer:
12×10 = 120
NOT 84
THE ANSWER IS 120
w^3 x w^-5
please help and please explain
Answer:
[tex]\Large \text{$ \frac{1}{w^2} $}[/tex]
Step-by-step explanation:
Given the exponential expression, [tex]\displaytext\mathsf{w^3\:\times\:w^{-5}}[/tex], where it involves the multiplication of the same base, w, with varying powers.
Using the Product Rule of Exponents, where it states that, [tex]\displaystyle\mathsf{a^{m}\:\times\:a^{n}\:=\:a^{(m\:+\:n)}}[/tex].
Hence, we simply need to add the exponents:
[tex]\displaytext\mathsf{w^3\:\times\:w^{-5}\:=\:w\:^{[3\:+\:(-5)]}\:=\:w^{-2}}[/tex]
Next, apply the Negative Exponent Rule, where it states that: [tex]\displaystyle\mathsf{a^{-n}\:=\:\frac{1}{a^n}}[/tex].
Transforming the negative exponent of [tex]\displaytext\mathsf{w^{-2}}[/tex] becomes a positive exponent by using the Negative Exponent Rule.
[tex]\displaytext\mathsf{w^{-2}\:=\:\frac{1}{w^2}}[/tex]
can someone please assist me in these equations!?!?! pls
-8/9 - (2 1/3)
show all your work
Answer:
1 8/9 - 1 2/3 = 2/
9
≅ 0.2222222
Step-by-step explanation:
How do you solve fractions step by step?
Conversion a mixed number 1 8/
9
to a improper fraction: 1 8/9 = 1 8/
9
= 1 · 9 + 8/
9
= 9 + 8/
9
= 17/
9
To find a new numerator:
a) Multiply the whole number 1 by the denominator 9. Whole number 1 equally 1 * 9/
9
= 9/
9
b) Add the answer from previous step 9 to the numerator 8. New numerator is 9 + 8 = 17
c) Write a previous answer (new numerator 17) over the denominator 9.
One and eight ninths is seventeen ninths
Conversion a mixed number 1 2/
3
to a improper fraction: 1 2/3 = 1 2/
3
= 1 · 3 + 2/
3
= 3 + 2/
3
= 5/
3
To find a new numerator:
a) Multiply the whole number 1 by the denominator 3. Whole number 1 equally 1 * 3/
3
= 3/
3
b) Add the answer from previous step 3 to the numerator 2. New numerator is 3 + 2 = 5
c) Write a previous answer (new numerator 5) over the denominator 3.
One and two thirds is five thirds
Subtract: 17/
9
- 5/
3
= 17/
9
- 5 · 3/
3 · 3
= 17/
9
- 15/
9
= 17 - 15/
9
= 2/
9
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(9, 3) = 9. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 9 × 3 = 27. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - seventeen ninths minus five thirds = two ninths
Your Fourthknight team is holding a fundraiser. The list shows all expenses for the fundraiser.
- A tablet that costs $250
- Soccer tickets that cost $150
- Gift cards totaling $425
- The cost of catering is $875
The members of the team will sell tickets at the fundraiser. The ticket cost is set so that 68 tickets will pay for the cost of prizes and food.
How much does each ticket cost?
Model the profit for the fundraiser using an equation:
Answer:
25
Step-by-step explanation:
Because when you add all the cost and divide by the amount of tickets you get 25
Miko filled two tanks with water. The ratio of the amount of water in Tank A to Tank B is 3 : 2. The total amount of water in both tanks is 210 ℓ. How much water must Miko pour from Tank A into Tank B so that both tanks have the same amount of water?
Step-by-step explanation:
answer is in the above picture
5.
Identify the vertex of the parabola.
A. (6, 3)
B. (3, 0)
C. (4, -1)
D. (5, 0)
Answer:
B. (3, 0)
Step-by-step explanation:
It's B. (3,0) because it's on the line of 3 and 0 aka x axis
Can someone help me please
Answer:
A
Step-by-step explanation:
4×-12
Answer is letter A
hope it help^^
Simplify the expression.
Step-by-step explanation:
since all base numbers have the same exponent, we can combine the base numbers first and then apply the exponent :
(12×45×50)^(1/3) = 27000^(1/3)
and remember what a 1/... exponent means : it means the root of the ... degree.
so, here we need a cubic root or a root of the third degree
[tex] \sqrt[3]{27000} = 30[/tex]
ITO
Jacky starts biking to meet up with her friend. She knows that if she bikes at a speed of
10 mph he will be 3 minutes late for the meeting. Jacky also knows that if she bikes at a
speed of 12 mph, she will be there 2 minutes before they agreed to meet. How much
time does she have left before the appointed time?
Using the speed - distance relationship, the time left before the appointed time is 27 minutes.
Recall :
Distance = speed × time Let time = tAt 10mph :
Distance = 10 × (t + 3) = 10t + 30 - - - (1)At 12 mph :
Distance = 12 × (t - 2) = 12t - 24 - - - - (2)Equate (1) and (2) :
10t + 30 = 12t - 24
Collect like terms
10t - 12t = - 24 - 30
-2t = - 54
Divide both sides by - 2
t = 54 / 2
t = 27
Hence, the time left before the appointed time is 27 minutes.
Learn more : https://brainly.com/question/25669152
Answer:
7
Step-by-step explanation:
please help me! i dont understand this D:
Answer:
562.39
Step-by-step explanation:
506.13+451.26=957.39
957.39-395=562.39
Marking Brainlest! 20pts. Thanks
The scatter plot shows the relationship between the average number of nightly customers and the number of months since a restaurant opened. The equation represents the linear model for this data.
y = 5x + 120
What does the number 5 in the equation mean in this context?
A. There were 5 customers per night when the restaurant opened.
B. The average number of customers per night decreased by 5 each month.
C. The restaurant has been open for 5 months.
D. The average number of customers per night increased by 5 each month.
Answer:
the answer is C trust me by
(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)] = 14
Answer:
This Inequality has no solution making it false.
Step-by-step explanation:
(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)] = 14
5,069=322
False
Hope this helps :)
Answer:
Step-by-step explanation:
Issac ate 2/4 of a pizza. Madison ate 1/5 how much did issac eat more than Madison?
Answer:
6/20. (simplified is 3/10)
Step-by-step explanation:
the highest elevation in north america is denali,in alaska ,with an elevation of 20,320 feet above sealevel. the lowest elevation in california, with an elevation of 282 feet below sea level. what is the differce in the highest and lowest elevations in morth american?
Answer:
Step-by-step explanation:
The highest point in North America, Mount McKinley, in the Alaska Range, is 20,320 feet above sea level. The lowest point m North America is 282 feet below sea level and is in Death Valley in California. Which student correctly calculated the difference in elevations? Explain the error.
\begin{matrix} \text{Student A} & \text{Student B}\\ \text{20,320 - 282} & \text{20,320 - ( -282)}\\ \text{20,320 + (-282)} & \text{20,320 + ( + 282)}\\ \text{20,038 feet} & \text{20,602 feet}\\ \end{matrix}
Student A
20,320 - 282
20,320 + (-282)
20,038 feet
Student B
20,320 - ( -282)
20,320 + ( + 282)
20,602 feet
Tell whether the sequence is arithmetic. If it is, identify the common difference.
1/2,1/3,1/4, ….
1) Not arithmetic
2) Arithmetic, common difference is 1/6
3) Arithmetic, common difference is 2/3
4) Arithmetic, common difference is 1
Answer:
Not arithmetic
Step-by-step explanation:
the difference of successive terms in arithmetic sequences should be the same. notice that:
1/3-1/2 =/= 1/3 - 1/4
so it's not arithmetic.
this sequence is known as the harmonic sequence, and its sum diverges.
14. Find m
(9x + 2)
(15x -52)
Step-by-step explanation:
triangle BCD ~ triangle EFD so
angle BCD= angle EFD
9x+2=15x-52
6x=54
x=9
angle CBF =9x+2=83°
In the triangle ΔCBD, the angle measure of ∠CBF is 83°.
What are similar triangles?When the triangles have equal shape, but different sizes. It is called as similar triangles. The corresponding angles are congruent. And the sizes have the same proportionality rate.
Given:
The angle measures,
∠CBD = (9x + 2)°
∠EFD = (15x -52)°
From the diagram,
ΔCBD is similar to ΔEFD.
So, the corresponding angles are equal.
∠CBD = ∠EFD
(9x + 2)° = (15x -52)°
15x - 9x = 52 + 2
6x = 54
x = 9°
And ∠CBF = ∠CBD
So, ∠CBF = (9x + 2)°
Substituting the value of x,
∠CBF = (9(9) + 2)°
∠CBF = 83°
Therefore, the angle measure of ∠CBF is 83°.
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it takes minutes to do 7 math problems how long does it take to do 20 math problems
Answer:
can you please explain that a little more
A washer and a dryer cost $1000 combined. The cost of the washer is $175 more than the cost of the dryer. Determine the cost of the washer and the cost of the dryer.
Answer:
washer is 587$
Step-by-step explanation:
1000 - 175
825
825 divided by 2 than add 175 to the washers half
the cost of the washer is $587.5, and the cost of the dryer is $412.5.
Let's assume the cost of the dryer is "x" dollars.
According to the information given, the cost of the washer is $175 more than the cost of the dryer. So, the cost of the washer can be represented as "x + $175" dollars.
The combined cost of the washer and the dryer is $1000. Therefore, we can write the equation:
Cost of washer + Cost of dryer = $1000
(x + $175) + x = $1000
Now, let's solve for "x":
2x + $175 = $1000
Subtract $175 from both sides:
2x = $1000 - $175
2x = $825
Now, divide both sides by 2 to find the value of "x":
x = $825 / 2
x = $412.5
So, the cost of the dryer is $412.5.
Now, let's find the cost of the washer:
Cost of washer = Cost of dryer + $175
Cost of washer = $412.5 + $175
Cost of washer = $587.5
Therefore, the cost of the washer is $587.5.
In summary, the cost of the washer is $587.5, and the cost of the dryer is $412.5.
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Can someone tell me what’s the answer is
Answer: I believe the answer is 50
Step-by-step explanation: I know this angle is a right angle that is split into two and since you already know what 1/2 of the angle is you just figure out how much more we need to equal to the angle in this case it’s 50