Brent Pickett borrowed $2000 from his brother Dave. He agreed to repay the money ate the end of three years, giving Dave the same amount of interest that he would have received if the money had been invested at 2.75% compounded quarterly. How much money did Brent repay his brother
Answers
Hello there. To solve this question, we'll have to remember some properties about investments.
Knowing Brent borrowed $2000 from his brother and will pay him the same amount of interest that he would have received if the money had been invested at 2.75% compounded quarterly, we need to find how much money will Brent repay his brother.
First, we have to remember the formula to find the amount a principal value P will become after t years, invested at an interesting rate r, compounded quarterly.
It is given by:
\(A=P\cdot\mleft(1+\dfrac{r}{4}\mright)^{4t}\)Plugging in P = 2000, r = 2.75% (converted in decimals, divide by 100) and t = 3, we get:
\(A=2000\cdot\mleft(1+\dfrac{0.0275}{4}\mright)^{4\cdot3}=2000\cdot\mleft(1+0.006875\mright)^{12}\)Add the values inside parenthesis and calculate the power (with the help of a calculator)
\(A=2000\cdot1.006875^{12}\approx2000\cdot1.0857=2171.38\)This is the amount Brent had to repay his brother.
Related Questions
PLS HELP ME
The function f(x) = -3(2)²+¹ +90 represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
Enter your answer by filling in the boxes to correctly complete the statements. If necessary, round to the nearest hundrea
The practical domain of the situation is x
Basic
The practical range of the situation is 90
A
O
Answers
Answer:
Practical domain: 0 ≤ x ≤ 3.907Practical Range: 0 ≤ y ≤ 84 where y is an integer, so we have the set {0,1,2,...,83,84}The 3.907 is approximate.
====================================
Explanation:
x = number of hours that elapse
y = f(x) = number of tokens
If we use a graphing tool like a TI84 or GeoGebra, then the approximate solution to -3(2)^(x+1) + 90 = 0 is roughly x = 3.907
At around 3.907 hours is when the number of tokens is y = 0. Therefore, this is the approximate upper limit for the domain. The lower limit is x = 0.
The domain spans from x = 0 to roughly x = 3.907, and we shorten that down to 0 ≤ x ≤ 3.907
------------
Plug in x = 0 to find y = 84. This is the largest value in the range.
The smallest value is y = 0.
The range spans from y = 0 to y = 84, so we get 0 ≤ y ≤ 84
Keep in mind y is the number of tokens. A fractional amount of tokens does not make sense, so we must have y be a whole number 1,2,3,...,83,84.
The x value can be fractional because 3.907 hours for instance is valid.
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Extra info:
The function is decreasing. It goes downhill when moving to the right.The points (0,84) and (1,78) and (2,66) and (3,42) are on this exponential curve.A point like (2,66) means x = 2 and y = 66. It indicates: "after 2 hours, they will have 66 tokens remaining".MEASUREMENT & DATA - FIND YOUR LEVEL!The total area of the shape below, in square units, is...
Answers
Answer:
15 square units
Explanation:
Every square in the figure represents one square unit. So, to know the total area of the shape, we need to count the number of blue squares in the figure.
Since there are 15 blue squares, the total area of the shape is 15 square units.
I had $5 my mom gave me $10 my dad gave me $30 my aunt and uncle gave me$100 I had another $5 how do I have
Answers
total money=5+10+30+100+5
=$150
hope it helps
Good luck on your assignment
Answer:
$150
Step-by-step explanation:
Uh unless you spent some, just count it up.
21 20 15 22 19 23 17 what is the median and range
Answers
The median would be 22:
Step-by-step explanation: The median is the number that is in the middle
Simply defined, the median is the number right in the middle of a set.
But before I get down to finding the median, I will order the numbers from least to greatest:
15, 17, 19, 20, 21, 22, 23
Now, the middle number is 20. So that's the median.
As for the range, it's the difference between the largest number and the smallest one:
Range = Greatest number - Smallest number
= 23 - 15
= 6
In summary, the median, the number in the middle, is 20, and the range, the difference between the largest number and the smallest one, is 6.
Petra jogs 6 miles in 42 minutes. At this rate, how long would it take her to jog 8 miles?
Answers
Distance 1 / Time 1 = Distance 2 / Time 2
Using the information given:
6 miles / 42 minutes = 8 miles / Time 2
To solve for Time 2, we can cross-multiply and then divide:
6 miles * Time 2 = 8 miles * 42 minutes
6 * Time 2 = 8 * 42
6 * Time 2 = 336
Now, we divide both sides by 6 to isolate Time 2:
Time 2 = 336 / 6
Time 2 = 56 minutes
Therefore, it would take Petra 56 minutes to jog 8 miles at the same rate.
Answer:
56 minutes
Step-by-step explanation:
We can use proportions to solve.
6 miles 8 miles
------------ = ------------------
42 minutes x minutes
Using cross products.
6x = 42 *8
Divide each side by 6
x = 42/6 * 8
x = 7*8
x = 56
If MP is a perpendicular bisector to LN, find each value(picture attached)
Answers
Answer:
f
Step-by-step explanation:
hi!! can someone do 14 and 16 or just one if you’d rather do that?? thank you sm i’m just trying to get some of my assignments done by tomorrow and i don’t understand how to do these things
Answers
16 would be y=-2x-4
Solve for "x": 3 (1 + 1) = 5 + 2
Answers
Answer:
Please where is the x in the question
Answer:
Please where is the x in the question
How many different sums of money can be made from 4coins of different denomination
Answers
Answer:
15 different sums----------------------
There are various combinations of coins.
1 coin:4 options2 coins:4C2 = 4!/(2!2!) = 6 options3 coins:4C3 = 4!/(3!1!) = 4 options4 coins: 1 optionIn total there are:
4 + 6 + 4 + 1 = 15 different sumsneed help with these 3 questions (giving brainiest if you can answer with equations)
Answers
Problem 10
Answer: approximately 57.39159 kmExplanation: You'll use the equation cos(28) = d/65 to solve for d to get d = 65*cos(28) = 57.39159 approximately. We use the cosine ratio because it ties together the adjacent and hypotenuse.
=====================================
Problem 11
Answer: approximately 10.46162 metersExplanation: This time we use the sine rule. We have the height as the opposite side (which is unknown, call it x) and the hypotenuse is the ladders length (11). So we have sin(72) = x/11 which solves to x = 11*sin(72) = 10.46162
=====================================
Problem 12
Answer: approximately 16.05724 cmExplanation: Now we use the tangent rule to connect the opposite and adjacent sides.
tan(37) = 12.1/x
x*tan(37) = 12.1
x = 12.1/tan(37)
x = 16.05724 approximately
Say yeeeeet for points
Answers
Answer:
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Answer:
yeeeeet
Step-by-step explanation:
For each value of u determine whether it is a solution to -2u-6<-20
Answers
Answer:
u > 7
Step-by-step explanation:
-2u -6 < -20 Add 6 to both sides
-2u - 6 + 6 < -20 + 6
-2u < -14 Divide both sides by -2. When you multiply or divide both sides by a negative number, you must flig the sign.
\(\frac{-2u}{-2}\) > \(\frac{-14}{-2}\)
u > 7
Helping in the name of Jesus.
The answer is:
u > 7
In-depth explanation:
You haven't told me what the values of u are, but I'll solve the equation for u.
Add 6 on each side:
\(\bf{-2u-6 < -20}\)
\(\bf{-2u < -14}\)
Divide each side by -1 and reverse the sign:
\(\bf{2u > 14}\)
Now divide each side by 2
\(\bf{u > 7}\)
Please answer I don't understand.
The box plot shows the times for sprinters on a track team.
A horizontal number line starting at 40 with tick marks every one unit up to 59. The values of 41, 43, 49.5, 56, and 58 are all marked by the box plot. The graph is titled Sprinters' Run Times, and the line is labeled Time in Seconds.
Which value does 50% of the data lie above, and what is it called?
58, the median
56, the upper quartile
43, the lower quartile
49.5, the median
Answers
Answer:
49.5, the median
Step-by-step explanation:
The five numbers marked are called the "five number summary":
Minimum (min) = 41
Lower 1 (Q1) = 43
Median (med) = 49.5; otherwise known as the "middle"
Upper 3 (Q3) = 56
Maximum (max) = 58
Determine the quotient of 3/7÷2 over3
Answers
Answer:
9/14 {final answer}
Step-by-step explanation:
→ 3/7 ÷ 2/3
Change it into multiplication,
→ 3/7 × 3/2
→ (3 × 3)/(7 × 2)
→ 9/14
Thus, the answer is 9/14.
Allen Siegell has a personal injury protection policy that covers each person in, on, around, or under his car for medical expenses up to $50,000. He is involved in an accident and five people in his car are hurt. One person has $3,000 or medical expenses, three people each have $500 worth of medical expenses, and Allen himself has medical expenses totaling $62,000. How much money must the insurance company pay out for these five people?
Answers
The total medical expenses for the five people in the car are $3,000 + $3*$500 + $62,000 = $3,000 + $1,500 + $62,000 = $66,500
What does a math word problem entail?
A math word problem is a question that is written as one or more sentences and asks students to use their mathematical understanding to solve an issue from "real world." In order for kids to understand the word problem, they must be familiar with the terminology that goes along with the mathematical symbols that they are used to.
Since Allen's personal injury protection policy covers each person up to $50,000, the insurance company must pay out $50,000*5 = $250,000 for the five people in the car.
Since the total medical expenses for the five people are $66,500, the insurance company will pay out the total medical expenses for the five people, which is $66,500.
Therefore, the insurance company must pay out $66,500 for these five people.
Learn more about word problem
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What represents 5. X=15
Answers
Answer:
X=3
Step-by-step explanation:
5x3=15
Jade bought a home for $129,500. She sold it fifteen years later for $9000 less than twice the amount she originally purchased for. Find the percent change in the purchase price of her home
Answers
Answer:
See below
Step-by-step explanation:
129 500 original price
selling price = 2 ( 129 500) - 9000 = 250 000
% change Questions worded like this are often up for debate as to exactly answer the question
250 000 / 129 500 = 193 % Selling price was 193% of original price
(250 000 - 129500)/ 129500 = 93 % INCREASE
A boy walks 5km due north and then 4km due east. Find the bearing of his current position from the starting point, how far is the boy now from the starting point
Answers
Jane and johnny are running a race. Jane's speed is 1/4 that of Johnny's.
What is Johnny's speed compared to Jane?
Explain.
25%
50%
150%
400%
Answers
The right response is 400%. In other words, Johnny moves at four times the pace of Jane.
We must compare the speeds of Johnny and Jane in relation to one another in order to get their ratio. According to the issue, Jane moves at a pace that is 1/4 that of Johnny. In other words, Jane moves at a speed that is one-fourth that of Johnny.
We may compare the speeds as a fraction to figure out the ratio:
Johnny's speed divided by Jane's speed equals 4/1.
This indicates that Johnny is moving at a speed that is four times that of Jane. We can express Johnny's speed as 400% of Jane's speed in percentage terms.
Learn more about percentages here,
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Pls answer ASAP it’s due tomorrow
Answers
Answer:
729
Step-by-step explanation:
Lena is a software saleswoman. Her base salary is $1600, and she makes an additional $90 for every copy of Math is Fun she sells.
Let P represent her total pay (in dollars), and let N represent the number of copies of Math is Fun she sells. Write an equation relating P to N. Then use this equation to find her total pay if she sells 29 copies of Math is Fun
Answers
Lena's total pay if she sells 29 copies of Math is Fun would be $4210.
Lena's total pay (P) to the number of copies of Math is Fun she sells (N) is:
P = 1600 + 90N
This equation shows that Lena's total pay is equal to her base salary of $1600 plus $90 for every copy of Math is Fun she sells.
To find Lena's total pay if she sells 29 copies of Math is Fun, we simply substitute N = 29 into the equation:
P = 1600 + 90(29)
P = 1600 + 2610
P = 4210
Therefore, Lena's total pay if she sells 29 copies of Math is Fun would be $4210.
You are a teacher, your classroom has 3 bulleting board that measure 6 feet by 6 feet each. You can to put a decorative border around each bulletin board. You will buy rolls of border that contain 20 feet per roll 2
Answers
First, we find the perimeter of each board by adding their sides
\(P=6+6+6+6=24ft\)The perimeter of each board is 24 feet long.
Then,
\(24\times3=72ft\)The teacher would need 72 feet to decorate all three boards.
If each roll has 20 feet, then there would be needed 4 rolls in total to half enough to decorate all three boards.
Hence, the number of rolls is 4.Explain the process you would use to find the area of the shaded region. Then calculate the shaded region.
You may leave your answer in terms of π or round to the nearest tenth.
Answers
The shaded region of the rectangle is 242.9 cm² and the shaded region of the sector is 7.1 square units.
What is the area of the shaded regions?Question 17) is a figure of a rectangle and two inscribed circles.
The area of a rectangle is expressed as: A = length × width
The area of a circle is expressed as: A = πr²
Where r is the radius.
To determine the area of the shaded region, we simply subtract the areas of the two circles from the area of the rectangle.
Area = ( Length × width ) - 2( πr² )
Area = ( 40 × 10 ) - 2( π × 5² )
Area = ( 400 ) - 2( 25π )
Area = 400- 50π
Area = 242.9 cm²
Area of the shaded region is 242.9 squared centimeters.
Question 18) is the a figure a sector of a circle and a right triangle.
The area of a sector is expressed as: A = (θ/360º) × πr²
The area of a triangle is expressed as: A = 1/2 × base × height
To determine the area of the shaded region, we simply subtract the areas of the triangle from the area of the sector.
Hence:
Area = ( (θ/360º) × πr² ) - ( 1/2 × base × height )
Plug in the values:
Area = ( (90/360º) × π × 5² ) - ( 1/2 × 5 × 5 )
Area = 25π/4 - 12.5
Area = 7.1
Therefore, the area of the shaded region is 7.1 square units.
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draw a square of area 18 square centimetre
Answers
Answer:
3\(\sqrt{2}\\\) each side
Step-by-step explanation:
make each side 4.24cm or 3\(\sqrt{2}\\\)
The diameter of Jupiter at its equator is approximately 1.43 x 10 to the 5th power kilometers. Write this number in standard notation. An astronomer's infrared telescope is able to detect radiation with a wavelength of 0.000439 meters. Write this number in scientific notation.
Answers
The number in standard notation is 143,000.
The number in scientific notation is 4.39 x 10^-4
What is scientific and standard notation?
Scientific notation is used to compress large numbers into smaller numbers. In order to write a number in scientific notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.
For example:
• The number : 1 x 10² is equivalent to 100
• The number 5 x 10³ is equivalent to 500
When changing a number that is less than 1 to scientific notation, there would be a negative sign before the power.
0.000439 = 4.39 x 10^-4
In order to convert a number from scientific notation to standard notation, multiply the number by its power.
1.43 x 10^5
= 1.43 x 100,000 = 143,000
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If the the price of a pair of shoes is 35$ before tax and the tax is 20% what will the final price of the shoes be
Answers
Answer:
$42
Step-by-step explanation:
You want the price with tax of a $35 pair of shoes subject to a 20% tax.
Price with taxThe tax is the cost of the shoes multiplied by the tax rate. The final price is the sum of the cost of the shoes and the tax:
final price = price + price × tax rate
final price = price × (1 + tax rate) = $35 × 1.20 = $42
The final price of the shoes is $42.
Answer:
42$
Step-by-step explanation:
tax increase will be
20% of 35$
= 20/100 × 35
= 7$
Final price = Old price + Tax
= 35 + 7
= 42$
What is the value of y in the parallelogram below?
G
108
3y
D
E
Answers
Answer:
C
Step-by-step explanation:
In a parallelogram, consecutive angles are supplementary, sum to 180° , so
3y + 108 = 180 ( subtract 108 from both sides )
3y = 72 ( divide both sides by 3 )
y = 24 → C
A caterer estimates that 2 gallons of fruit punch will serve five people.
How much additional punch is necessary to serve 75 people?
Need all the explanations
Answers
Answer:
the answer is 28
Step-by-step explanation:
This is simple
if 5 people need 2 gallons we can use that to figure out how many gallons 75 people need.
75 divided by 5 is 15. so if 5 fits into 75 15 times that means that 75 people need 15 times 2 gallons or 30 gallons of fruit punch.
But the problem ask how much "additional" fruit punch so we subtract 2 from 30 to get 28 additional gallons of fruit punch
Which statement is NOT true in the equation y = 9x?
The value of y is 9 times the value of x.
The equation represents an additive relationship.
The value of y is 45 when the value of x is 5.
The equation represents a multiplicative relationship.
Answers
Answer:
dhdbdudbdudbdne d ieh eue
Answer: the equation represents an addictive relationship
Step-by-step explanation:
I need help with whole thing teacher is putting pressure on me and I have a 10 in her class
Answers
Answer:
So... for problem 15. im gonna help you and maybe you'll understand how to do it:) So the X axis is the horizontal line and the Y axis is the vertical line.
So when it says X -4
Y 5
Then the point would be at -4 on the horizontal line and 5 positive points on the Y axis (vertical line)
Step-by-step explanation:
I really hope this helps you its hard to describe over type:(
Good luck:))