Answer:/
Step-by-step explanation:
? : 4 = 5,4 : 3. Find ?
Answer:
? = 7.2
Step-by-step explanation:
The given equation is comprised of two ratios.
Using the given ratio 5.4 : 3, we can reduce it and see the ratio is 1.8 : 1
Now, using the same idea for the unknown value, we must multiply 1.8 by 4, giving 7.2.
Dana and Emile allocate 2/3 of their partnership's profits and losses to Dana and 1/3 to Emile. The net income of the firm is $40,000. The journal entry to close the Income Summary will include a ________. (Do not round any intermediate calculations. ) A) credit to Income Summary for $26,667 B) debit to Dana, Capital for $13,333 C) credit to Emile, Capital for $26,667 D) debit to Income Summary for $40,000
The journal entry to close the Income Summary will include a C) credit to Emile, Capital for $26,667.
To close the Income Summary account, the net income of $40,000 needs to be allocated to the partners' capital accounts based on their profit and loss sharing ratio.
Dana is allocated 2/3 of the net income, which is $26,667 (2/3 x $40,000). Emile is allocated 1/3 of the net income, which is $13,333 (1/3 x $40,000).
Therefore, the journal entry to close the Income Summary account would be:
Credit Income Summary for $26,667 (to close the account)
Debit Dana, Capital for $26,667 (to allocate Dana's share of net income)
Debit Emile, Capital for $13,333 (to allocate Emile's share of net income)
This is calculated by multiplying the net income of $40,000 by the ratio of Emile's share (1/3), which equals $26,667.
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There are 3 x as many blue counters as yellow. 45 blue counters are removed. There are now still 63 more blue counters than yellow. How many blue counters were there to start with
After 45 blue counters are removed, the remaining number of blue counters is 63 more than yellow counters. Setting up an equation, we find that there were 162 blue counters to start with.
Let's start by assigning variables to the unknowns:
Let x be the number of yellow counters.
Then, the number of blue counters is 3x.
After 45 blue counters are removed, the number of blue counters is 3x - 45.
Finally, there are 63 more blue counters than yellow, so we can set up the equation:
3x - 45 = x + 63
Solving for x, we get:
2x = 108
x = 54
Therefore, there were 3x = 3(54) = 162 blue counters to start with.
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The following data points represent the number of songs each member of the band Python Sunboat has
written
5, 2, 9, 21, 12,3
Find the median number of songs.
Answer: 7
Step-by-step explanation:
To find the median, we need to first put the data points in order from least to greatest:
2, 3, 5, 9, 12, 21
There are six data points, so the median is the middle value. In this case, the middle two values are 5 and 9. To find the median, we take the average of these two numbers:
(5 + 9) / 2 = 7
Therefore, the median number of songs written by the members of Python Sunboat is 7.
A coin is selected random from pot A and placed in pot B. Then a coin is selected at random from pot B and placed in pot A. Finally a coin is selected from Pot A. Find the probability that this coin is gold
The equation to calculate the probability that this coin is gold is (X / (X + Y)) x (R / (R + S)) x (T / (T + U))
Let's assume that after the first transfer, there are M gold coins and N silver coins in pot A, and R gold coins and S silver coins in pot B. The probability of selecting a gold coin from pot B after the first transfer is R / (R + S).
After the second transfer, the number of gold and silver coins in each pot changes again. Let's assume that there are T gold coins and U silver coins in pot A, and V gold coins and W silver coins in pot B. The probability of selecting a gold coin from pot A after the second transfer is T / (T + U).
To find the probability that a gold coin is selected from pot A after all transfers are complete, we need to multiply the individual probabilities together. That is:
Probability of selecting a gold coin from pot A after all transfers = (X / (X + Y)) x (R / (R + S)) x (T / (T + U))
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4.02 Lesson Check Arithmetic Sequences (4)
The given sequence is a recursive sequence. Hence -2, 9, -24, 75 is the first four terms of the sequence.
Arithmetic and recursive sequenceThe given sequence is a recursive sequence, where each term is defined in terms of the previous term. Here, each term is obtained by multiplying the previous term by -3 and adding 3. The first term, a1, is given. Using this, we can find the second term, a2, and then using a2, we can find a3, and so on.
Given: an = -3an-1 + 3 and a1 = -2
To find: the first four terms of the sequence
a1 = -2
a2 = -3a1 + 3 = -3(-2) + 3 = 9
a3 = -3a2 + 3 = -3(9) + 3 = -24
a4 = -3a3 + 3 = -3(-24) + 3 = 75
Therefore, the first four terms of the sequence are: -2, 9, -24, 75.
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If the answer is no solution, type no solution using small letters
Answer:
(1, 2 )
Step-by-step explanation:
y = - 2x + 4 → (1)
y = 3x - 1 → (2)
substitute y = 3x - 1 into (1)
3x - 1 = - 2x + 4 ( add 2x to both sides )
5x - 1 = 4 ( add 1 to both sides )
5x = 5 ( divide both sides by 5 )
x = 1
substitute x = 1 into either of the 2 equations and solve for y
substituting into (2)
y = 3(1) - 1 = 3 - 1 = 2
solution is (1, 2 )
Write your answer as a x,y pair. 2x+3y=7. Y=2x-11 Solve using the SUBSTITUTION METHOD
Answer:
(5, -1) or x = 5, y = -1
Step-by-step explanation:
[tex]\mathrm{Substitute\:}y=2x-11[/tex]
[tex]\begin{bmatrix}2x+3\left(2x-11\right)=7\end{bmatrix}[/tex]
[tex]8x-33=7[/tex]
[tex]\mathrm{Isolate}\:x\:\mathrm{for}\:8x-33=7[/tex]
[tex]8x=40[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}8[/tex]
[tex]\frac{8x}{8}=\frac{40}{8}[/tex]
[tex]x=5[/tex]
[tex]y= 2x-11 \\ \mathrm{Substitute\:}x=5[/tex]
[tex]y=2\cdot \:5-11[/tex]
[tex]y=-1[/tex]
Answer:
(5, - 1 )
Step-by-step explanation:
2x + 3y = 7 → (1)
y = 2x - 11 → (2)
substitute y = 2x - 11 into (1)
2x + 3(2x - 11) = 7
2x + 6x - 33 = 7
8x - 33 = 7 ( add 33 to both sides )
8x = 40 ( divide both sides by 8 )
x = 5
substitute x = 5 into (2)
y = 2(5) - 11 = 10 - 11 = - 1
solution is (5, - 1 )
A package of croissanwich costs $562. If Pedro buys 8 packages of
croissanwich, how much does he spend?
Answer: $4496
Step-by-step explanation:
Since we know that one pack of croissanwich costs $562, multiply $562 by 8 to get $4496.
How are geometric sequences and exponential functions alike?
How are they different?
Answer:
Geometric sequences and exponential functions are alike in that they both involve repeated multiplication by a constant factor. In a geometric sequence, each term is found by multiplying the previous term by the same constant factor. In an exponential function, the value of the function is found by raising a constant base to an exponent that increases by a constant amount.
However, they differ in the way they are expressed. In a geometric sequence, each term is written as a discrete value in the sequence, while in an exponential function, the value of the function is written as a continuous function of the input variable. Additionally, geometric sequences are often used to model discrete phenomena, while exponential functions are often used to model continuous phenomena.
Step-by-step explanation:
3^2-(4/5/8)+1
please expert verfied asap i will give brainliest to who answer ffirst
Answer:
[tex]9.9[/tex]
Step-by-step explanation:
Interpreted:
[tex]3^2-(4\div5\div8)+1[/tex]
1) Simplify 4 ÷ 5 to 0.8.
[tex]3^2-0.8\div8+1[/tex]
2) Simplify 3² to 9.
[tex]9-0.8\div8+1[/tex]
3) Simplify 0.8 ÷ 8 to 0.1.
[tex]9-0.1+1[/tex]
4) Simplify 9 - 0.1 to 8.9.
[tex]8.9+1[/tex]
5) Simplify.
[tex]9.9[/tex]
Find an equation of the line with gradient 2 and that passes through the point
(1, -4)
Answer:
y = 2x - 6
Step-by-step explanation:
Using the 'y=mx+c' form,
Since m = 2,
y = 2x + c
Substituting (1, -4) into the above equation:
-4 = 2 + c
c = -6
Hence,
y = 2x - 6
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In a certain village, it is traditional for the eldest son (or the older son in a two-son family) and his wife to be responsible for taking care of his parents as they age. In recent years, however, the women of this village, not wanting that responsibility, have not looked favorably upon marry an eldest son. (a) If every family in the village has two children, what proportion of all sons are older sons? (b) If every family in the village has three children, what proportion of all sons are eldest sons? Please show all work!
The probability of having an older son is 1/2 in families with two children and The proportion of all sons who are eldest sons = 1/3, when each family has three children.
If each family has two children, then the two possible situations are that the family has two sons or a son and a daughter. So the chance of having an older son is 1/2 in families with two children. Thus, the proportion of all sons who are older sons is 1/2.
If each family has three children, then the possible situations are having three sons, two sons and one daughter, or two daughters and one son. If two sons and one daughter are there in the family, then the older one will be the eldest son. If two daughters and one son are there in the family, then the only son will be the eldest son.
Therefore, there is only one eldest son among three children in the second case. If the family has three sons, then the probability that the eldest son is responsible for taking care of their parents is 1. Hence, if each family has three children, the proportion of all sons who are eldest sons is 1/3.The following is the step-by-step answer to this question:
Probability of having an older son = 1/2 in families with two children. Probability of having an eldest son = 1/3 in families with three children. The proportion of all sons who are older sons = 1/2, when each family has two children. The proportion of all sons who are eldest sons = 1/3, when each family has three children.
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4x - 10 = 5 (find value of x)
Answer:
x = 15/4
Step-by-step explanation:
Now we have to,
→ Find the required value of x.
The equation is,
→ 4x - 10 = 5
Then the value of x will be,
→ 4x - 10 = 5
→ 4x = 5 + 10
→ 4x = 15
→ [ x = 15/4 ]
Hence, the value of x is 15/4.
Which of these statements is true about the data in the scatter plot?
As x increases, y tends to increase.
As x increases, y tends to decrease.
As x increases, y tends to stay unchanged.
x and y are unrelated
The statement that correctly explains the association in the scatter plot is; A. Since the y-values decrease as the x-values increase, the scatter plot shows a negative association.
When interpreting scatterplots, it is possible to claim that two variables have a negative connection when the values of one variable tend to fall as the values of the other variable rise.
Similarly to this, we can say that two variables have a positive connection when one variable's values tend to rise along with those of the other.
In the scatterplot shown, we can see that there is a negative correlation between the two variables because the y-value is falling while the x-axis is rising.
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let us make a tabe of values folliwong the rula that she save twice as much as she saved the day before
Answer:
We can use the expression 2x = y , where 'x' is the amount she saves yesterday and y being the amount she saves this day.
Table = if x = 0 , y = 0
if x = 1 , y = 2
if x = 2 , y =4
if x = 4 , y= 8
a XYZ in which XY = 4.5cm YZ = 6cm and ZX = 7cm. 2) Construct a PQR such that PQ = 7cm, PR = 5cm and ,PQR = 60° 3) Construct a ABC given that XY = 6cm, pls answer fast tomorrow is my exam so pls answer this question
To measure length ABAC=3.5 cm, open the compass,=3.5cm is a positive value because. Hence, BD will be higher than BC. Cut an arc on ray BX using point B as the center. Let D be where the arc crosses BX.
What are angles?A point where two lines meet produces an angle.
The breadth of the "opening" between these two rays is referred to as a "angle". It is depicted by the figure.
Radians, a unit of circularity or rotation, and degrees are two common units used to describe angles.
By connecting two rays at their ends, one can make an angle in geometry. The sides or limbs of the angle are what are meant by these rays.
The limbs and the vertex are the two main parts of an angle.
The common terminal of the two beams is the shared vertex.
According to our question-
draw perpendicular bisector of CD
A where perpendicular bisector intersects BD
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Newton and his friends were watching a movie. They watch 50% of the movie and then take a break. Then they watch the remaining 65 minutes of the movie. How long was the whole movie
The length of the whole movie was 130 minutes.
Let's call the length of the whole movie "x". According to the problem, Newton and his friends watch 50% of the movie before taking a break. This means they watched 0.5x minutes of the movie.
After the break, they watch the remaining 65 minutes of the movie. So the total time they watched the movie is:
0.5x + 65
But we know that the total time they watched the movie is the same as the length of the whole movie "x". So we can set these two expressions equal to each other and solve for "x":
0.5x + 65 = x
Subtracting 0.5x from both sides, we get:
65 = 0.5x
Dividing both sides by 0.5, we get:
x = 130
Therefore, the length of the whole movie was 130 minutes.
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A sail that is in the shape of an isosceles triangle has a vertex angle of 54 ∘ . The angle is included by two sides, each measuring 23ft . Find the length of the other side of the sail. The length of the other side of the sall is about (Type an integer or a decimal. Round to one decimal place as needed.)
Using the law of sines, the length of the other side of the sail, which is the third side of the isosceles formed, is calculated as about 32.5 feet.
What is an Isosceles Triangle?An isosceles triangle is a triangle with at least two sides of equal length.
Let's call the length of the other side of the sail "x". Since the sail is an isosceles triangle, the other two angles opposite the two equal sides are also equal, each measuring (180 - 54)/2 = 63 degrees.
We can use the law of cosines to find x:
x² = 23² + 23² - 2(23)(23)cos(63)
x² = 1054.75
x ≈ 32.5
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please help it’s due soon thankyou
The values of a, b and c are given as follows:
a = 9, b = 15, c = 25.
What is the law of cosines?The law of cosines states that we can find the side c opposite to an Angle C of a triangle as follows:
c² = a² + b² - 2abcos(C)
In which the parameters are listed as follows:
C is the angle opposite to side c.a and b are the lengths of the other sides.The parameters for this problem are given as follows:
a = 3x, b = x + 5, c = y, C = θ.
Hence the expression is given as follows:
y² = (3x)² + (x + 5)² - 2(x + 5)(3x)(1/6)
y² = 9x² + x² + 10x + 25 - x² + 5x
y² = 9x² + 15x + 25.
Hence the values of a, b and c are given as follows:
a = 9, b = 15, c = 25.
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A square playground has a perimeter of 100 feet. What is the area of the playground?
*
200 square feet
625 square feet
2,500 square feet
10,000 square feet
Answer:
Step-by-step explanation:
If a square has a perimeter of 100 feet, then each side of the square must be 25 feet long, since all four sides of a square are equal.
The area of a square is given by the formula A = s^2, where s is the length of one side of the square. Substituting s = 25 feet, we get:
A = (25 feet)^2
A = 625 square feet
Therefore, the area of the playground is 625 square feet.
Answer:
625 ft^2
Step-by-step explanation:
A square will have all 4 sides equal to each other. Let x be the length of 1 side. The perimeter, P, of such a square would be:
P = 4x
We are told that p = 100 feet
100 feet = 4x
x = 25 feet
Each side has a length of 25 feet.
The area of this square wuld be (25')*(25') = 625 ft^2
Two of the math courses Business majors need to take are Elementary Statistics and Business Calculus. In a random survey of 100 students who have declared as Business majors and are currently enrolled in at least one of the two courses, 77 are enrolled in Elementary Statistics and 52 are enrolled in Business Calculus. How many are currently enrolled in both courses? Hint: A Venn diagram can be helpful in organizing the given information.
There are now 29 business majors enrolled in both business calculus and elementary statistics based on Venn Diagram.
To find the number of students who are currently enrolled in both Elementary Statistics and Business Calculus, we need to use the information given in the problem and draw a Venn diagram. Let's assume that the set of students who are enrolled in Elementary Statistics is E, and the set of students who are enrolled in Business Calculus is C. We want to find the size of the intersection of these two sets, denoted by E ∩ C.
From the problem, we know that the total number of Business majors who are currently enrolled in at least one of the two courses is 100. This means that the size of the union of the sets E and C is 100. We also know that 77 students are enrolled in Elementary Statistics and 52 students are enrolled in Business Calculus.
Using this information, we can set up an equation that relates the sizes of the sets E, C, and E ∩ C:
E + C - E ∩ C = 100
77 + 52 - E ∩ C = 100
E ∩ C = 29
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please answer this asap please
Answer:
x=3
y=4
Step-by-step explanation:
y=3x-9
5x+4y=32
You substitute what y is into the equation:
5x + 4(3x - 9) = 32
5x + 12x - 36 = 32
17x - 36 = 32
17x = 68
x = 4
Now you substitute x into y:
y = 3x - 9
12 - 9 = 3
y = 3
please help me, I don't know this! yes, my brain isn't braining
By secant line formula, the slopes corresponding to the lines are listed below:
m = 1 / 2 m = - 5 / 4 m = 7 / 5 m = - 2 m = 1 / 5 m = - 1 / 4 m = 3 m = - 1 / 2 m = 1 / 6How to determine the slope of a line by secant line formulaIn this problem we have nine representations of lines, whose slopes must be determined. A line is represented by equations of the form:
y = m · x + b
Where:
x - Independent variable.y - Dependent variable.m - Slope.b - Intercept.According to analytic geometry, slope can be found by knowning the location of two points (initial, final) set on Cartesian plane and secant line formula:
m = (y₂ - y₁) / (x₂ - x₁)
Where:
m - Slope(x₁, y₁) - Coordinates of the initial point.(x₂, y₂) - Coordinates of the final point.Case 1: (x₁, y₁) = (0, - 3), (x₂, y₂) = (2, 1)
m = (2 - 0) / [1 - (- 3)]
m = 2 / 4
m = 1 / 2
Case 2: (x₁, y₁) = (- 3, 2), (x₂, y₂) = (1, - 3)
m = (- 3 - 2) / [1 - (- 3)]
m = - 5 / 4
Case 3: (x₁, y₁) = (- 3, - 4), (x₂, y₂) = (2, 3)
m = [3 - (- 4)] / [2 - (- 3)]
m = 7 / 5
Case 4: (x₁, y₁) = (0, 3), (x₂, y₂) = (3, - 3)
m = (- 3 - 3) / (3 - 0)
m = - 6 / 3
m = - 2
Case 5: (x₁, y₁) = (- 2, 1), (x₂, y₂) = (3, 2)
m = (2 - 1) / [3 - (- 2)]
m = 1 / 5
Case 6: (x₁, y₁) = (- 4, 3), (x₂, y₂) = (4, 1)
m = (1 - 3) / [4 - (- 4)]
m = - 2 / 8
m = - 1 / 4
Case 7: (x₁, y₁) = (2, - 4), (x₂, y₂) = (4, 2)
m = [2 - (- 4)] / (4 - 2)
m = 6 / 2
m = 3
Case 8: (x₁, y₁) = (- 4, - 1), (x₂, y₂) = (0, - 3)
m = [- 3 - (- 1)] / [0 - (- 4)]
m = - 2 / 4
m = - 1 / 2
Case 9: (x₁, y₁) = (- 2, 0), (x₂, y₂) = (4, 1)
m = (1 - 0) / [4 - (- 2)]
m = 1 / 6
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Calculate x in the following ratio: x:12 =6:3
Answer: [tex]x=24[/tex]
Step-by-step explanation: Since the ratio of 6:3 is a 2:1 ratio simplified, you know that x will need to double the value on the other side. Therefore, you can just multiply 12 by 2 to get the x-value which is 24. Another method is to see that the 3 on the other side of the ratio is 1/4 the value of 12. This means that the 6 is 1/4 the value of x. if you multiply 4 on both sides x=24. Those are the two methods I recommend you use to solve these ratio problems.
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{Equation:}\\\\\large\boxed{\mathsf{6:3}}\\\\\large\textsf{Simplifying for:}\\\\\large\boxed{\rightarrow \mathsf{x:12}}\\\\\large\textsf{Simplifying:}\\\\\large\boxed{\mathsf{\rightarrow 6\times 4: 3\times4}}\\\\\large\boxed{\mathsf{\rightarrow{24:12}}}\\\\\\\huge\text{Therefore your answer should be: }\\\huge\boxed{\mathsf{\bold{24}:12}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
Rate Of 5 Grams Per Square Centimeter Per Year. At The Same Time, These Leaves Decompose At A Continuous Rate Of 65 Percent Per Year.A. Write A Differential Equation For The Total Quantity Q Of Dead Leaves (Per Square Centimeter) At Time T:Dt/DQ= ?B. Sketch A Solution To Your Differential Equation Showing
Dead leaves accumulate on the ground in a forest at a rate of 5 grams per square centimeter per year. At the same time, these leaves decompose at a continuous rate of 65 percent per year.
A. Write a differential equation for the total quantity Q of dead leaves (per square centimeter) at time t:
dt/dQ= ?
B. Sketch a solution to your differential equation showing that the quantity of dead leaves tends toward an equilibrium level. Assume that initially (t=0) there are no leaves on the ground.
What is the initial quantity of leaves? Q(0)= ?
What is the equilibrium level? Qeq= ?
Differential equation of the total quantity Q of dead leaves at time t= dt/dQ = -0.65Q + 5. and 7.69 grams per square centimeter is the equilibrium level.
The differential equation for the total quantity Q of dead leaves (per square centimeter) at time t is given by:dt/dQ = -0.65Q + 5.B.
Assuming that there are no leaves on the ground initially, t = 0.
Q(0) = 0.
Qeq = 7.69 grams per square centimeter.
The solution to the differential equation is given by: Q(t) = (20/13) + Ce^(-0.65t) where C is an arbitrary constant. At equilibrium, dQ/dt = 0, or -0.65Q + 5 = 0.Qeq = 7.69 grams per square centimeter is the equilibrium level.
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A culture initially contains 400 bacteria. If the number of bacteria doubles every 3 hours, how many bacteria will there be at the end of 15 hours?
Answer:
Since the number of bacteria doubles every 3 hours, after 3 hours there will be 400 x 2 = 800 bacteria. After 6 hours, there will be 800 x 2 = 1600 bacteria. After 9 hours, there will be 1600 x 2 = 3200 bacteria. After 12 hours, there will be 3200 x 2 = 6400 bacteria. Finally, after 15 hours, there will be 6400 x 2 = 12800 bacteria. Therefore, there will be 12800 bacteria at the end of 15 hours.
Step-by-step explanation:
Solve for x :
2x = 100
[tex] \\ \\ \\ \\ [/tex]
Thank You! :)
Answer:
x=50
Step-by-step explanation:
2x=100
divided both sides by 2
x=50
answer: x=50
Answer:
50
Step-by-step explanation:
2x = 100, divide 2 from 2x and also 100, you will be left with x = 50
could someone help me on this too? im taking a dcp i need help asapppp
Twο pοints (8,8) and (-2,6) are the set οf the equatiοn [tex]y < \frac{3}{4} x+6\\[/tex] οf the graph [tex]y = \frac{3}{4} x+6[/tex].
What is Graph?Graph, a diagram that shοws hοw a variable varies in relatiοn tο οne οr mοre οther variables (such as a cοllectiοn οf pοints, lines, line segments, curves, οr regiοns).
Nοw we have tο find the value οf the equatiοn i.e. [tex]y < \frac{3}{4} x+6\\[/tex],
(x, y) = (8,8) , we get 8 < 12 , First pοint
(x, y) = (-4,3) , we get 3 = 3 , Nο match
(x, y) = (6,-2) , we get -2 < 10.5 , Secοnd Pοint
(x, y) = (0, 8) , we get 8 > 6 , Nο Match
(x, y) = (-9,2) , we get 2>-0.75 , Nο Match
Sο, we get οur pοints, which are pοints (8,8) and (-2,6) fοr the equatiοn [tex]y < \frac{3}{4} x+6\\[/tex].
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You and your best friend want to take a vacation to Australia. You have done some research and discovered that it will cost $2500 for the plane tickets, all-inclusive hotel and resort, and souvenirs. You have already saved $2200. If you invest this money in a savings account with a 1. 55% interest rate compounded annually, how long will it take to earn enough money to go on the trip? Use the compound interest formula A = P (1 + i)n, where A is the accumulated amount, P is the principal, i is the interest rate per year, and n is the number of years. Round your final answer to the nearest tenth
It will take approximately 4.4 years to earn enough money to go on the trip if we invest our 2200 in a savings account with a 1.55% interest rate compounded annually.
First, we need to calculate the amount of money that we need to save in order to cover the cost of the trip. This can be done by subtracting the amount we have already saved from the total cost of the trip:
Total cost of trip = 2500
Amount already saved = 2200
Amount to save = 2500 - 2200 = 300
Next, we can use the compound interest formula to calculate how long it will take to earn 300 with an interest rate of 1.55% compounded annually. We can set up the formula as follows:
A = P(1 + i)n
where:
A = accumulated amount = 300 + 2200 = 2500 (the total cost of the trip)
P = principal = 2200
i = interest rate per year = 1.55%
n = number of years we need to save for
We can now solve for n:
2500 = 2200(1 + 0.0155)n
Divide both sides by 2200:
1.13636 = 1.0155n
Take the natural logarithm of both sides:
ln(1.13636) = n ln(1.0155)
Divide both sides by ln(1.0155):
n = ln(1.13636)/ln(1.0155) ≈ 4.4 years
Therefore, it will take approximately 4.4 years to earn enough money to go on the trip if we invest our 2200 in a savings account with a 1.55% interest rate compounded annually.that we rounded our final answer to the nearest tenth as instructed.
for such more question on compound interest
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