Abby opened an account with a deposit of $3000. She did not make any
additional deposits or withdrawals. The account earns simple annual
interest. At the end of 8 years, the balance of the account was $3600.
What was the annual interest rate on this account?
Answers
If Abby deposited $3000 and has $3600 at the end of 8 years, then the interest-rate is 2.5%.
The "Simple-Interest" is the interest which is calculated based only on principle amount of a loan or investment, without taking into account any additional interest earned on previous periods.
We can use the simple interest formula to find the annual interest rate:
⇒ Simple Interest = Principle × Rate × Time,
Where: Principle is = initial deposit of $3000,
Rate = annual interest rate (what we need to find)
Time = number of years the money was invested = 8,
The Simple Interest earned over 8 years : $3600 - $3000 = $600,
Substituting the values,
We get,
⇒ $600 = $3000 × Rate × 8,
⇒ Rate = 600/(3000 × 8),
⇒ Rate = 0.025, or 2.5%.
Therefore, the annual interest rate on the account is 2.5%.
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Related Questions
What do these (>, ≥, <, ≤) mean
Answers
Answer:
Less Than,Less Than or Equal to,Greater Than,Greater Than or Equal to
Step-by-step explanation:
The line under plays the role of an equal sign and the others are pretty self explanatory
Answer: The first one is a greater sign, the second one is greater than or equal to, the third one is less than, and the last one is less than or equal to.
Step-by-step explanation: hope this helps
18. On April 17 Anita Morales had her rugs cleaned by Aero Rug Cleaners. The cost was $135. The previous balance
in her checkbook register is $218. If Morales pays Aero Rug Cleaners with a check, what is the new balance?
A $135
C. $383
B. 983
D. 597
Answers
Answer:
the new balance is $83
Step-by-step explanation:
The computation of the new balance is as follows:
= Previous balance in her checkbook register - amount paid
= $218 - $135
= $83
hence, the new balance is $83
This is the answer but the same is not provided in the given options
We simply applied the above formula so that the correct value could come
And, the same is to be considered
can someone pls help
Answers
The required area of the parallelogram and pentagon is 91 unit² and 75 unit².
What is surface area?The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.
A parallelogram in is shown in figure 1 with the dimensions height = 7 and base = 13,
Area of the parallelogram = 13 × 7 = 91 unit²
Now,
A pentagon is shown in figure 2,
Area of the pentagon = 5 [1/2 × height × side]
= 5 [1/2 × 5 × 6]
= 75 suqare units.
Thus, the required area of the parallelogram and pentagon is 91 unit² and 75 unit².
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21. A x+6 3x-31 B X = BC = AB= AC =
Answers
x = 43
Step-by-step explanation:
2(x + 6) = 3x - 31
2x + 12 = 3x - 31
2x + 43 = 3x
x = 43
AB & BC = 49
AC = 98
3. for questions 3-5, complete the missing values in each table below using the graph
Answers
The missing values are derived from the graph as follows:
3 ) 7, 14, 21, 28, 35
4) 3, 7, 10, 14, 17
5) 1, 21, 10, 49, 19
What is a graph?In mathematics, a graph is defined as a graphical representation or diagram that organizes facts or values. The graph's points frequently reflect the relationship between two or more objects.
In order to solve for the above values, the best way is to spot the function that exists in the graph which is given as:
F(y) = 3.5x
In the first table, where x = 2
y= 3.5 *2
= 7
This iteration goes on and on and is consistent for all the values.
In the second table,
Where F(y) is known, for example 10.5, then x is derived as:
10.5 = 3.5x (divide both sides by 3.5)
x = 3
This iteration goes on and on and is consistent for all the values.
In the third table, we simply swap the values back and forth using the function F(y) = 3.5x to derive all values.
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PLEASE HELP 10 POINTS
Sally works in a cell phone store. She is paid a weekly salary of $80 plus $5.25 for each cell phone she sells. Which equation can be used to find Sally's total weekly income?
A. y=85.25x
B. y=85.25x+ 80
C. y= 5.25x+80
D. y=80x+5.25
Answers
a car traveling at 45 miles per hour is brought to a stop, at constant deceleration, 132 feet from where the brakes are applied. (round your answers to two decimal places.) (a) how far has the car moved when its speed has been reduced to 30 miles per hour? 72 correct: your answer is correct. ft (b) how far has the car moved when its speed has been reduced to 15 miles per hour? 84 incorrect: your answer is incorrect. ft
Answers
a) When the vehicle's speed was dropped to 30 mph, it moved 73 feet.
b) When the vehicle's speed was dropped to 15 mph, it moved 117 feet.
Kinematic equations are a collection of equations that describe how an item moves when its acceleration is constant. The deceleration rate is then determined using this using method, \(a=\frac{v^2-v_0^2}{2\Delta\cdot s}\) where v is the final speed, v₀ is the initial speed, and Δs is the traveled distance.
Given v₀= 66 ft/s (45 mph), Δs=132 feet, and v=0 ft/s. Then,
\(\begin{aligned}a&=\mathrm{\frac{(0-66^2)ft^2/s^2}{2\times132\;ft}}\\&=\mathrm{-16.5\;ft/s^2}\end{aligned}\)
a) The distance covered by the vehicle at a 30 mph (44 ft/s) reduction in speed is,
\(\begin{aligned}\Delta s&=\frac{v^2-v_0^2}{2\cdot a}\\&=\mathrm{\frac{(44^2-66^2)\;ft^2/s^2}{2\times-16.5\;ft/s^2}}\\&=\mathrm{73.333\;ft}\\&\approx\mathrm{73\;ft}\end{aligned}\)
b) The distance covered by the vehicle at a 15 mph reduction in speed is,
\(\begin{aligned}\Delta s&=\mathrm{\frac{(22^2-66^2)ft^2/s^2}{2\times-16.5\;ft/s^2}}\\&=\mathrm{117.33\;ft}\\&\approx\mathrm{117\;ft}\end{aligned}\)
The required answers are 73 feet and 117 feet.
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Find the general term of 6,12,24,48,...
Answers
Answer:
an = 6 * 2^(n-1)
Step-by-step explanation:
To find the general term of the sequence 6, 12, 24, 48, ... , we need to observe that each term is obtained by multiplying the previous term by 2. Therefore, the sequence is a geometric sequence with first term a = 6 and common ratio r = 2.
The formula for the nth term of a geometric sequence is:
an = a * r^(n-1)
Substituting a = 6 and r = 2, we get:
an = 6 * 2^(n-1)
Therefore, the general term of the sequence 6, 12, 24, 48, ... is given by the formula an = 6 * 2^(n-1).
I will give you 10B points plus mark someone again for the Brainliest if you get this right.
Answers
Answer:
Option D is the correct answer
Step-by-step explanation:
\((3 {m}^{ - 4} )^{3} (3 {m}^{5} ) \\ \\ = {3}^{3} {m}^{ - 4 \times 3} \times 3 {m}^{5} \\ \\ = 27 \times 3 \times {m}^{ - 12 + 5} \\ \\ = 81 {m}^{ - 7} \\ \\ = \frac{81}{ {m}^{7} } \)
Answer:
the correct answer is D
Step-by-step explanation:
distribute the exponent on the left to get the expression ((3^3)(m^-12))(3(m^5))
bring the negative exponent to the denominator to get (3^4)(m^5)/(m^12)
subtract the exponents of m to get an answer of 81/(m^7)
Question content area top
Part 1
Write an equivalent expression without parentheses. Then simplify the result.
m−(8−3m)
Answers
using exponents, On simplifying the equation, we get =4m+8.
The PEMDAS order of operations must be followed when you want to simplify a mathematical equation without using parenthesis (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction). There are no parenthesis in the expression, so you may start looking for exponents. If it does, first make that simpler.
What is the main objective of simplification?Work simplification is to develop better work processes that boost output while cutting waste and costs.
What does simplifying mean in algebra?Simplifying an expression is the same as solving a mathematical issue. When you simplify an equation, you essentially try to write it as simply as you can. There shouldn't be any more multiplication, dividing, adding, or deleting to be done when the process is finished.
Given equation,
m-(8-3m)
=m-8+3m
=4m+8
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Write any 5 negative number in our daily life
Answers
Temperature, Debt ,Altitude, Weight loss and Time difference this are 5 negative number in our daily life.
Five negative numbers in our daily life could include:
1. Temperature: In some regions, the temperature can fall below zero degrees Celsius or Fahrenheit, for example, -10°C or -5°F.
2. Debt: If you owe someone money, it can be represented as a negative number, such as -$50.
3. Altitude: If a location is below sea level, it can be represented by a negative number, like the Dead Sea, which is
-430 meters below sea level.
4. Weight loss: If you lose weight, the change in weight can be represented as a negative number, such as -2
kilograms.
5. Time difference: If an event occurred before a reference point, it can be represented by a negative number, like -3
hours before noon.
These examples show the presence of negative numbers in various aspects of our daily life.
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What is the rule for the reflection?
Answers
Using the side splitter theorem, which segment length would complete the proportion?
Answers
As per the side splitter theorem, the segment length would complete the proportion is GJ
In math, the side splitter theorem states that "if a line is parallel to a side of a triangle and the line intersects the other two sides, then this line divides those two sides proportionally".
Here we have to find the segment length that would complete the proportion by using the side splitter theorem.
According to this theorem and by using the following diagram, we can elaborate the following proportion
=> GH/HE = GJ/JF
Here we have identifies that the segment that completes the proportion is GJ, because it must be used according to the theorem.
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A pair of shoes was originally priced at $100. The store owner gives a discount, and the shoes are now priced at $60.
Enter the percent discount for the pair of shoes.
Answers
Answer:
The discount is $40
Step-by-step explanation:
To find the discount you'll need to subtract the new price from the old one.
100 - 60 = 40
Answer:
60%
Step-by-step explanation:
60/100 x/100
60 * 100 = 6000
6000/100 = 60
= 60%
May I have help?
True or False: The graph represents a function.
Answers
Answer:
Step-by-step explanation:
It's gonna be true in just trust me when i say that im that guy
Answer:
true
Step-by-step explanation:
Please help I’ll give 40 extra points!!!
During a football game, a team lost 12 yards on the first play and then gained 5 yards on each of the next 3
plays. Which method finds the total yards at the end of the first four plays?
O add-12 to 3x5
O add 12 to 3x5
O add-12, 5, and 3
O add 12, 5, and 3
Answers
Answer:
Its the first one
Step-by-step explanation:
losing yards means negative... and then its multiplying 3 and 5
Answer:
It is the first 1
Step-by-step explanation:
Solve for x. Give a reason for each step in the process.
5(-3a - 6) = 5a + 30
Answers
what dose Graph x \geq -1x≥−1x, is greater than or equal to, minus, 1. mean
Answers
The meaning of the graph is that the value of x is no less than -1
How to determine the meaning of the graphFrom the question, we have the following parameters that can be used in our computation:
x ≥ − 1
The above expression is an inequality that implies that
The value of x is no less than -1
Next, we plot the graph
See attachment for the graph of the inequality
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Question
What does the graph of x ≥ −1 mean?
What is the surface area of this wedge ?
Answers
Answer: 84 ft^2
Step-by-step explanation:
The whole prism can be divided into 5 surfaces.
Two triangles and 3 rectangles.
Find the area of each of the 5 shapes and add them together.
The triangle has a base of 4 and a height of 3.
Area of triangle 1: A= 4*3 * 1/2
A = 6
Area of triangle 2: A = 4*3 * 1/2
A = 6
Area of rectangle 1 : A= 4*6
A = 24
Area of rectangle 2; A = 3*6
A = 18
Area of rectangle 3: A= 5 *6
A = 30
Now add the areas together
6 + 6 + 24 + 18 + 30 + = 84 ft^2
Answer:
84
Step-by-step explanation:
Bobby was transferring files from his computer onto a flash drive. The flash drive already had 6 gigabytes of data before the transfer, and an additional 0.4 gigabyte were transferred onto the drive each second. Graph the size of the files on Bobby’s drive (in gigabytes) as a function of time (in seconds
Answers
The size of the files on Bobby’s drive (in gigabytes) as a function of time (in seconds) is given by y=0.4x+6
Given that Bobby was transferring files from his computer onto a flash drive.
The flash drive already had 6 gigabytes of data before the transfer
an additional 0.4 gigabyte were transferred onto the drive each second.
Let x be the number of seconds
y be the size of the files on Bobby’s drive (in gigabytes) as a function of time
y=0.4x+6
Hence, the graph of y=0.4x+6 is given in the attachment
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The solid below is made of a 14x14x14 cube with a square based pyramid of height h24 on top of it. What is the total volume of the solid?h
Answers
Given:
Dimensions of the cube: 14 × 14 × 14
The height of the square pyramid: 24
To find:
The volume of the given solid.
Step-by-step solution:
We know that:
The volume of the cube = a³
The volume of the square pyramid = a² (h/3)
The Total volume of the figure = The volume of the cube + The volume of the square pyramid.
The Total volume of the figure = a³ + a² (h/3)
The Total volume of the figure = (14)³ + (14)² (24/3)
The Total volume of the figure = 2744 + 196 × 8
The Total volume of the figure = 2744 + 1568
The Total volume of the figure = 4312 cube units
Final answer:
Thus we can say that the final volume of the figure is 4312 cube units.
Solve using elimination.
2x + y = 5
x - 3y = 6
Answers
Answer:
then substitute y in eq 1 to get x
hope this helped you
Please mark as the brainliest (ㆁωㆁ)
PLEASE help me understand the steps to solve this i feel like crying i dont understand
Answers
Answer:
4
Step-by-step explanation:
First:
(-2 1/2)*(-1 3/5) = 2.5*1.6
Second:
2.5*1.6=5/2*8/5
Third:
5/2*8/5=
4
v - 4 > 22 solve the inequality of v and simplify your answer as much as possible. plsssss do this!!!
Answers
Answer:
v > 26
Step-by-step explanation:
v > 22 + 4
v > 26
there is no qouificient ( I don't know how to spell that) of v so that's your answer
Let U= {1, 2, 3, 4, 5, 6, 7}, A= {1, 2, 5, 7}, and B= {1, 4, 5}. Find the set A' ∩ B'.
A' ∩ B'= {___}
hint: all elements in U that are not present in A or B.
Answers
The set A' ∩ B' contains the elements 3 and 6, which are all the elements in U that are not in sets A or B.
The complement of set A, denoted by A', contains all elements in the universal set U that are not in A. Similarly, the complement of set B, denoted by B', contains all elements in U that are not in B. Therefore, we have:
A' = {3, 4, 6}
B' = {2, 3, 6, 7}
To find the intersection of A' and B', we need to find the elements that are common to both sets. In this case, the common elements are 3 and 6, so:
A' ∩ B' = {3, 6}
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The canine tooth of a Bengal tiger is 4 inches long. There are 2.54 centimeters in one inch. How long is the tooth in centimeters? Write an expression to show the length of a Bengal tiger's canine tooth in centimeters.
Answers
10.16 inches = 25,806 centimeters
Answer:
The Bengal tiger's canine tooth is 10.16 cm long.
Step-by-step explanation:
1 inch = 2.54 cm so 4 inches = ?cm
1/2.54 = 4/? set up a proportional ratio : inch/cm = inch/cm and solve
? = 2.54(4)
? = 10.16cm. long
What are the triangle similarity theorems?
Answers
The triangle similarity theorems are important theorems used when dealing with triangles.
These theorems allow us to determine if two triangles are similar, and if so, the amount of similarity.
The first theorem is the Side-Side-Side (SSS) theorem. This states that if the three sides of one triangle are proportional to the three sides of another triangle, then the triangles are similar. This can be expressed mathematically as follows:
If a/b = c/d = e/f, then triangle ABC is similar to triangle DEF.
The second theorem is the Angle-Side-Angle (ASA) theorem. This states that if two angles of one triangle are equal to two angles of another triangle, and the corresponding sides of the two triangles are proportional, then the triangles are similar. This can be expressed mathematically as follows:
If ∠A = ∠D, ∠B = ∠E, and a/b = c/d, then triangle ABC is similar to triangle DEF.
The third theorem is the Angle-Angle-Side (AAS) theorem. This states that if two angles of one triangle are equal to two angles of another triangle, and the side between the angles of one triangle is equal to the side between the angles of the other triangle, then the triangles are similar. This can be expressed mathematically as follows:
If ∠A = ∠D, ∠B = ∠E, and b = e, then triangle ABC is similar to triangle DEF. The triangle similarity theorems are important theorems used when dealing with triangles.
These theorems are essential for proving similarity between triangles and for determining their similarity.
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Evaluate 3x^2 + x - 2 when x = -2.
Answers
Answer:
8
Step-by-step explanation:
3x² + x - 2
3(-2)² + (-2) -2
3(4) + -4
12 - 4
8
Divide 144g in the ratio 7: 11
Answers
Answer:
88:56 = 11:7
Step-by-step explanation:
Step One
Add the two ratios together 11 + 7 = 18
Now set up a ratio to solve for 11 parts out of 18
11:18 = x:144 Proportion
11 / 18 = x / 144 Equation: Cross mulitiply
11*144 = 18x Combine the left side
1584 = 18x Divide by 18
1584 / 18 = x
88 = x
That is the larger amount (11 is larger than 7)
Find the smaller amount
144 - 88 = 56
The two amounts are in the ratio of 11:7
88:56 = 11:7
I hopes this helps a little bit
Answer:
56g and 88g
Step-by-step explanation:
7x+11x=144
18x=144
x=144/18
x=8
7x=7*8=56g
11x=11*8=88g
What value of x is in the solution set of 3(x – 4) > 5x + 2?
Answers
Answer:
-10
Step-by-step explanation:
expand: 3x-12>5x+2
subtract 3x and subtract 2 to both sides
-14>2x
which is just
2x<-14
so x<-7.
the only value is -10. :D
Answer:
-10
Step-by-step explanation:
3(x – 4) > 5x + 2
Distribute
3x -12 > 5x+2
Subtract 3x from each side
3x-12-3x > 5x-3x+2
-12 > 2x+2
Subtract 2 from each side
-12 -2 > 2x+2-2
-14 > 2x
Divide by 2
-14/2 > 2x/2
-7 > x
X must be less than -7
-10 is less than -7