The future value of an investment is 10,110.28 if money was originally invested at 3.5% compounded semi annually for 5 years what was the amount of the original investment
Answers
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Actually Welcome to the Concept of the Compound Interest.
Since we know that formula for the Compound interest is :-
A= P(1+r/n) ^nt
here, A = total amount received at end, P= initial amount invested, r= rate of interest in decimal, t= time of years and n= frequency per year, so we get as,
=>10110.28 = P(1+0.035/2)^2*5
=>10110.28 = P (1+0.0175)^10
=>10110.28= P(1.0175)^10
=>so finally we get as
=>P= 1011.28/1.1894
=> P= 8500
Using Concept of the Compound Interest, the amount of the original investment was $8500.
What is Compound interest?Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.
Compound Interest =A= P(1+r/n) ^nt
Where, A = total amount received at end, P= initial amount invested, r= rate of interest in decimal, t= time of years and n= frequency per year,
Therefore, we get as,
10110.28 = P(1+0.035/2)^2 x 5
10110.28 = P (1+0.0175)^10
10110.28= P(1.0175)^10
so finally we get as;
P= 1011.28/1.1894
P= 8500
Using Concept of the Compound Interest, the amount of the original investment was $8500.
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Hi, could someone give me the correct answer i really need it and i'd appreciate it so much. Can anyone please help?
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Answer:
a= c+16
a-c= 16
Step-by-step explanation:
a = b + 12
b = c + 4
adding both eq.s, we get:
a+b = b+c+12+4
a+b = b+c+16
a = c+16
a-c = 16
Write the base of -(-6)^5
Answers
Answer:
h
Step-by-step explanation:
Do you mean, what's the base in "-(-6)^5
If so it's -6!
In the expression which numbers are like terms??
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What Is PI.
Don't Cheat Or No Points
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Answer:
2.14159265358979323846264338327930288419716939937510582097494459230
Step-by-step explanation:
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Find the LENGTH OF THE MISSING SIDE in the following right triangle in inches.
Round to the nearest tenth, if necessary.
20 inches
21 inches
Answers
Answer:
If the missing side is long then it's 29 or if its short, then it's 6.4
Step-by-step explanation:
just do a^2 + b^2 = c^2 method
I will give brainliest !!!!!
An office supply store sells notebooks in packs of 15 and folders in packs of 18. A business wants to have one notebook for each folder. What is the least number of notebooks and folders that the business has to buy?
30
270
3
90
Answers
Answer:
90 notebooks and folders
Step-by-step explanation:
Find the least common multiple (LCM) or 18 and 15!
18 x 5 = 90
15 x 6 = 90
Therefore, your answer is 90
Hope this helps!
Miamor wanted to make note cards by cutting pieces of paper in half.
Before starting she got seven more pieces to use. When she was done she
had 28 half pieces of paper. With how many full pieces did she start?
Answers
Answer: 14 pieces
Step-by-step explanation:
Let the number of pieces of paper she had at first be x.
Before starting she got seven more pieces to use. This can be written as:
= x + 7
When she was done she had 28 half pieces of paper. This can then be written as:
x + 7 = (28 × 1/2)
x + 7 = 14
x = 14 - 7
x = 7
Since x = 7, she started with:
= x + 7
= 7 + 7
= 14 pieces
1. Suppose you flip a penny 50 times, with 25 tosses landing heads up. What percentage of the tosses would be heads? %
Answers
Answer:
50%
Step-by-step explanation:
Half of 50 is 25, so when it comes to a percent, half of 100% (50) is 50% (25)
Mark does 5 tests each day. Each test takes 2 hours. He works 6 days this week. How many hours did he work?
Answers
Explanation: 5*2= 10 * 6 = 60
Which fraction does point A show?
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Place the numbers from 1 to 5
in the circles. Use each
number once only The sum
must be the same in both
directions!
Answers
Answer:
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Jamie used the distributive property to find the product of s(t) and h(t). His work was marked incorrect. Identify Jamie's mistake. What advice would you give Jamie to avoid this mistake in the future.
Answers
Complete Question:
Jamie used the distributive property to find the product of s(t) and h(t). His work was marked incorrect. Identify Jamie's mistake. What advice would you give Jamie to avoid this mistake in the future?
s(t)•h(t)= (3x-4)(2x-8)
= 6x² - 24x -8x - 32
= 6x² - 32x - 32
Answer:
Jamie made a mistake in his second line (6x² - 24x -8x - 32), by wrongly multiplying the operation signs. The last term should be +32, not -32.
Advice: Jamie should take note of the rule that applies when multiplying signs.
Step-by-step Explanation::
To find out where exactly Jamie made mistake, let's find the product of the given functions, step by step:
s(t)•h(t)= (3x-4)(2x-8)
Using distributive property, do the following:
[tex] 3x(2x - 8) -4(2x - 8) [/tex]
[tex] 3x*2x -3x*8 -4*2x -4*-8 [/tex]
[tex] 6x^2 - 24x - 8x + 32 [/tex] (this is where Jamie made mistake. -4 * -8 = +32. NOT -32.)
Add like terms
[tex] 6x^2 - 32x + 32 [/tex]
Jamie made a mistake in multiplying negative × negative. The last term in "6x² - 24x -8x - 32", should be +32. Negative × negative = +.
Therefore, it is advisable for Jamie to always take note of the rule that applies when multiplying signs.
If you traveled 175.5 miles, how many gallons of gas were used?
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Step-by-step explanation:
Estimate to find the answer. 52% of 10
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Answer:
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Samuel can type nearly 40 words per minute. Use this information to find the number of hours it would take him to type 2.2 × 105 words.
Answers
Explanation: first you do 2.2 x 105= 231
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At the ski shack, customers can rent,skis, snowboards, boots, and poles by the day Mrs.Alvarez is renting skis and poles she has a 18$ coupon off
which expression represents the total cost for Mrs.Alvarez to rent skis for s days and poles for p days
Answers
Answer: 48s+12p-18 this is the correct answer i just took the test
The expression that represents the total cost can be written as -
y = as + pb - 18.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that at the ski shack, customers can rent, skis, snowboards, boots, and poles by the day. Mrs. Alvarez is renting skis and poles.
Assuming the cost to rent skis for 1 day is $a and the cost of renting the poles is $b. Then we can write the expression that represents the total cost as -
y = as + pb - 18
Therefore, the expression that represents the total cost can be written as - y = as + pb - 18.
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Answers
x - 12
2x
find the perimeter
Answers
Answer:
6x-24
Step-by-step explanation:
First, we must add x-12 to 2x. We will get 3x-12. Now, to get the perimeter, we must multiply that expression by 2. The answer is 6x-24.
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Answers
Answer:
c=35+0.23mStep-by-step explanation:
Given that Nadya's uses the service for up to 200 times then
let let c represent the cost of Nadya's bill
and m be the minutes of airtime
therefore
the initial charger is $35
The charge per additional minutes is $0.23
c=35+0.23m
Therefore the expression is
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Sydney's teacher says she may have her report card percentage based on either the mean or the median and she
can drop one test score if she chooses.
94%, 84%, 100%, 68%
Which measure of center should Sydney choose so she can have the highest percentage possible?
O Sydney should choose the mean after dropping one test score.
O Sydney should choose the mean without dropping one test score.
O Sydney should choose the median after dropping one test score.
O Sydney should choose the median without dropping one test score.
Next
Save and Exit
Submit
Mark this and return
Answers
Answer:
The correct answer is:
Sydney should choose the median after dropping one test score.
Step-by-step explanation:
when scores are not dropped:
List of scores = 68%, 84%, 94%, 100%
Mean = (68 + 84 + 94 + 100) ÷ 4 = 86.5%
Median = 68 84 94 100
Median = (84 + 94) ÷ 2 = 89%
Although there are no outliers because Sydney was given the option to drop a test score, dropping the lowest score will increase his overall chances of making a higher score. Therefore, 68% will be dropped.
List of scores when the lowest score is dropped = 94%, 84%, 100%
Mean: (84 + 94 + 100) ÷ 3 = 92.7%
Median: 84, 94, 100
Median = 94% (middle term)
From the four possible scores, the highest score is 94%, and it is gotten by finding the median after dropping a score
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Step-by-step explanation:
1) x+3= -7
2) 2/3x+1=27
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Answers
Answer:
1) x = -10
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Step-by-step explanation:
1) x + 3 = -7
=> x= -7-3
=> x= -10
2) 2/3x + 1 = 27
=> 2/3x = 27 - 1
=> 2x =26 * 3 (26 multiply by 3)
=> x = 78/2
=> x =39
3) 4x-7 = 2 (x+3) +9
=> 4x-7 = 2x+6+9
=> 4x-2x =7+6+9
=> 2x = 22
=> x =22/2
=> x = 11
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They are diagonal from each other causing it to be vertical angles and equal.
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Step-by-step explanation:
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1. Becky won $108,000 by coming in first place at a chess tournament, and she has the option of receiving 4 quarterly payments of $27,000, with the first payment in 3 months, or 1 lump-sum payment of $108,000 occurring in 12 months. Once she receives her money, she plans on putting it in a savings account paying simple interest at an annual interest rate of 8.8% calculated quarterly. Becky's financial adviser told her that she'll "lose" money if she takes the lump-sum payment, and Becky wants to calculate how much she’ll "lose". HELP !! I don’t understand ! please show work
Answers
Answer:
Step-by-step explanation:
From the information being provided;
We learnt that Becky pays simple interest at an annual interest rate of 8.8% which is calculated quarterly.
i.e. [tex]\dfrac{8.8\%}{4}= 2.2\%[/tex]
Since the first payment of $27,000 happened in the first three months, therefore, Becky will be able to have the money in the bank for 3 quarters prior to the lump-sum payment gets started.
Thus, the estimate of the amount Becky would earn as interest during this period of time is as follows:
[tex]I =\dfrac{PRT}{100}[/tex]
[tex]I =\dfrac{27000\times 2.2 \times 3}{100}[/tex]
[tex]I =\dfrac{178200}{100}[/tex]
I = $1,782
PLEASE HELP ASAP A bucket contains 48 fluid ounces of water. How many quarts of water does the bucket contain? Enter your answer as a decimal in the box. BLANK quarts
Answers
Answer:
1.5 Quarts
Step-by-step explanation:
A quart contains 32 fluid ounces. So divide 48 by 32. You get 1.5.
So the bucket contains 1.5 Quarts.
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Robin kept a log of the number of hours she spent birdwatching during September and the cumulative number of birds she observed.
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Answer:
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Answer:
Step-by-step explanation:
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Jackson invested 30% of what he earned last month if he invest 1200.00 how much did Jackson earn in total last month, in dollars
Answers
Answer:
$4000
Step-by-step explanation:
use formula a = w*p
1200.00 = w0.3
/ 0.3 /0.3
w = 4000
The total earnings done by Jackson last month will be equal to 4000.
What is the Percentage?The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages. In other terms, it is a relationship where the worth of the entire is always considered to be 100.
As per the given information provided in the question,
Total investment is done by Jackson = 1200
The investment is 30% of total earnings.
Assume that Jackson's earnings are x.
Then,
30% of x = 1200
x = 1200 × (100/30)
x = 4000
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