The amount in the account after compound interest of 1 year is $ 6890 and after 2 years is $ 7303.4.
The principal amount is given as $ 6500.
Rate of compound interest = 6%
The compound interest formula is given as [tex]A = P (1 + \frac{r}{n})^{nt}[/tex]
where, P = Principal amount
r = rate of interest divided by a hundred
n = number of times compounded
t = time in years
a) Amount in the account after 1 year is
[tex]A = 6500(1 + \frac{0.06}{1})^{1}[/tex]
A = 6890
The amount in the account after 1 year is $ 6890.
b) Amount in the account after 2 years is
[tex]A = 6500(1 + \frac{0.06}{1})^{2}[/tex]
A = 7303.4
The amount in the account after 2 years is $ 7303.4.
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An employee at a gift shop earns $72.00 for working 9 hours. At this hourly rate, what should the employee earn for a 40-hour work week?
A.$8.00
B.$48.00
C.$121.00
D.$320.00
At this hourly rate, the employee earns a 40-hour workweek is D.$320.00
In the above case, an employee earns $72.00 for working 9 hours a day or 9 hours, now to know about hourly earing we should divide $72.00 by 9 hours so that we can get the earnings of the employee on an hourly basis.
Therefore, earnings an hour = 72.00/9 = 8, which means the employee is earning 8 dollars for every hour he works at the gift shop, now to know how much money he/ she will generate in 40 hours we will multiply 8 dollars with 40 working hours.
Therefore total earnings of the week = earning per hour * total working hours = 8*40 = $320.00 for every 40-hour week. hence, the total earnings for the week will be $320,
Calculations
earning per hour =72.00/ 9 = 8
total earning = 40*8 = 320
correct option will be D. $320
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Q5. A builder rents a digger. He pays a fixed charge of $30 plus $10 per hour to rent the digger. Work out how much he pays to rent the digger for: a) 1 hour b) n hours (1.5 x 2 = 3)
Q6) The width of a rectangle is x centimetres and its length is (x+ 2) cm. Write down an expression for the perimeter of the rectangle, giving your answer in its simplest form. (2+1=3 marks)
Answer:How many hours does he rent it?
Either way, the equation would be 30 + 10x
x is the number of hours he rents the digger.
So for example, if he rented it for say 8 hours
30 + 10(8)
30 + 80
$110
Step-by-step explanation:
Clare is painting some doors that are all the same size. She used 2 liters of paint to cover 1 and 3/5 doors. How many liters of paint are needed for one door? Consider drawing a model to help you solve the problem.
Answer:
1 and 1/4 liters of paint are needed for one door
Step-by-step explanation:
You can eliminate each answer choice out. For '4/5 liters' you know that if that amount was used, it wouldn't be reasonable since it would mean that the more was used for the other 3/5 door. 3 and 1.5 would be too much since it is over 2 liters. 2 liters wouldn't be logical since you paint 1 and 3/5 of a door and you only used 2 liters, no more or no less, basically what would you use for the other 3/5 door if this was the answer.
Hope this helps!
please help! thanks!
Answer:
97 students can be served
Step-by-step explanation:
35/10=3.5
28x3.5=98
PLS HELP ITS DUE IN LIKE 20 MINS I REALLY NEED HELP WITH IT
Answer:
Step-by-step explanation:
Help me plsss
Research the GDP per capita for the United States. Where does the United States stand in comparison to the European countries you have studied?
Answer:
the GDP per capita for unatid stairs is60
Please help, will give brainliest to whoever is most detailed.
The United States Postal Service delivers about 2^4 multiplied 3 multiplied 5^3 pieces of mail each second. There are 2^8 multiplied 3^4 multiplied 5^2 seconds in 6 days. How many pieces of mail does the United States Postal Service deliver in 6 days? Write your answer as an expression involving three powers.
Answer:
2^8⋅5^2pieces of mail each second X 2^8⋅3^4⋅5^2 seconds in 6 days
=2^16. 3^4. 5^4 pieces of mail delivered in 6 days.
Step-by-step explanation:
Answer:
2^8⋅5^2pieces of mail each second X 2^8⋅3^4⋅5^2 seconds in 6 days
=2^16. 3^4. 5^4 pieces of mail delivered in 6 days.
Step-by-step explanation:
I hope this hleps answer your question
The length of a field measures 3.5 miles.
What does the length of the field measure in feet?
13,200 ft
15,840 ft
18,480 ft
21,120 ft
Can you help with these problems
ou are reading a new book. On Monday you read 3 pages. On each day after that, you read 3 times the number of pages you read on the previous day. How many pages do you read on Thursday?
Answer:
81 because Monday: 3 pages
Tuesday: 3 x 3 9 pages
Wenesday: 9 x 4 27 pages
Thursday: 27 x 3 81 pages
the points (6,8) and (15,20) form a proportional relationship. find the slope of the line through the points. then use the slope to graph the line
Answer:
The answer would most-definitely be C.
Hope this helped!! Brainliest?
Step-by-step explanation:
Answer:
i think c
Step-by-step explanation:
sorry if im wrong
A circle has a radius of 50 cm. What is the circle's area? *
A 15, 708 square cm
B 7,850 square cm
C 157 square cm
D 314 square cm
"You figure you can ride Ghost Wind, then get on. Just bring him back to the stable when you're finished so I can rub him down." I dismounted, leaving the stallion with Mitchell, and headed toward the barn. Now, I truly expected that Mitchell would come after me with Ghost Wind. After all, despite my invitation, I knew Mitchell couldn't ride Ghost Wind. As far as I knew, Mitchell had never ridden more than a mule and had no idea how to ride a thoroughbred tornado like Ghost Wind. But instead of Mitchell following me, the next thing I knew, I heard a triumphant cry, turned, and saw Mitchell atop the stallion dashing across the meadow. For a moment all I could do was stand and stare. But then, as the stallion bucked, left the meadow, and headed for the woods, I suddenly found my legs and my voice, and I began running and screaming after Mitchell and the stallion. "Pull back the reins!" I hollered as I ran. "Mitchell, the reins! Pull back hard!" —The Land, Mildred D. Taylor Use the drop-down menus to answer the questions. Which type of conflict is Mitchell having in this passage? Is this a major or minor conflict in the overall novel?
Answer:
character vs nature.
minor
I got it right on edge 2021
How many cubes with sides that measure 1/5 foot are required to fill a rectangular container that has a length of 2 feet, a width of 2 1/5 feet, and a height of 3 3/5 feet?
– 8 + 5z + 5 + 9z
What are the variables?
How many terms?
What are the coefficients?
What are the constants?
What are the like terms?
PLEASE HELP
1) The variable is z
2) There are 2 terms
3) The coefficients are z
4) The like terms are 5z, 9z
The answers are pretty direct but, hope this answers your question.
Have a great day/night!
Find the Volume of the rectangular prism(in cubic feet)
300 x 400 = 1200 the same as 3 x 4 = 12
Answer:
3x4=12 is 300x400=1200 but it is not multiplied by 100
Step-by-step explanation:
Answer:
Step-by-step explanation:
Definitely not, although in both cases you are multiplying 3 by 4, obtaining 12.
300 * 400 = 3*4*100*100 = 12*10^4, or 12*10000, or 120000, which is not the same as 12.
1. If (11+x) is positive, but (4+x) is negative, what is one number that x could be?
2. If (-3+y) is positive, but (-9+y) is negative, what is one number that y could be?
3. If (-5+z) is positive, but (-6+z) is negative, what is one number that z could be?
Please help, this is so confusing!
Answer:
One way to add integers is by using a number line. ... Our first number is negative four (-4) so we move 4 units to the left. We then have plus negative three (-3) which is the same as subtracting 3 so we ... We do the same thing if we have a positive integer, but instead we move to ... You can also add integers and variables.
Step-by-step explanation:
Please help this is worth 15 points!
Answer:
2.51
Step-by-step explanation:
Help me Please!!!!!!!!!!
I'LL GIVE BRAINLIEST: What is the area of the real object that the scale drawing models?
Answer:
16 cm
Step-by-step explanation:
2*8 is 16
For a science experiment, Annie removes a cold liquid from a refrigerator and measure it's temperature every 1/2 minute. Annie finds that the temperature increase by
1 and 3/4 degrees Fahrenheit. What is the rate per minute of the temperature increase?
Answer:
2 1/2
Step-by-step explanation:
1/2 minute = 1 3/4 degrees fahrenheit.
1 minute = 2 1/2 degrees Fahrenheit.
you can take 1 3/4 + 1 3/4 and get the Answer.
In this graph, Write the equation of the line in fully simplified slope-intercept form. Please help me with this equation! I need help
Answer:
y = 1/2x + 6
Step-by-step explanation:
Answer:
y=-x+2
Step-by-step explanation:
Help,again...
Answer:
144
Step-by-step explanation:
18x8=144
Please give brainliest!
:)
Which unit rate corresponds to the proportional relationship shown in the graph?
Drag and drop the answer into the box to match the graph with its unit rate.
A graph with a line running through coordinates left parenthesis 0 comma 0 right parenthesis and coordinates left parenthesis 12 comma 16 right parenthesis.
4/3 cm/s 1/4 cm/s 1/3 cm/s 3/4 cm/s
Answer: 1/4cm/s
Step-by-step explanation:
pls help find the equivalent fractions
2/4=
1/4=
4/2=
2/3=
6/8=
1/3=
1/4=
1/2=
4/6=
3/6=
it's ok if you don't do it all take your time
Answer:
If you multiply or divide both the top of a fraction and the bottom of a fraction by the same number, so for example:
[tex]\frac{2}{4}[/tex]÷[tex]\frac{2}{2} = \frac{1}{2}[/tex]
1/4 = 2/8
4/2 = 2/1 or 2
2/3 = 4/6
6/8 = 3/4
1/3 = 2/6
1/4 = 2/8
1/2 = 2/4
4/6 = 2/3
3/6 = 1/2
Answerk:
The answer is
[tex] \frac{1}{2} = \frac{2}{4} = \frac{3}{6} \\ \frac{2}{3} = \frac{4}{6} [/tex]
6th grade math
The ages of 10 boys are listed below.
7, 6, 8, 6, 8, 7, 8, 7, 8, 6
Which of the following best describes the data?
A. The data have range 2, and are otherwise unrelated.
B.The data are evenly distributed, with mean 7.1.
C.The data contain outliers, so the mean is not the best measure.
D.The data have no mode.
Answer:
A. The data has a range of 2.
Step-by-step explanation:
When you subtract 6 from 8 it's 2. Which is the range. Range is the smallest number subtracted from the biggest number.
The data does have a mode. The mode is the number or numbers that repeat more than once. Actually you have more than one mode so. D isn't right.
The data doesn't contain outliers. Outliers are numbers that don't range in with the rest. Meaning if you had the group of nunbers like 10, 10, 13, 54, 14, 12. 54 would be the outlier it isnt in range with the rest of the numbers.
Hope this helped!
The best description of the data set is "the data have range 2, and are otherwise unrelated", which is option A.
The given data set is as follows:
{7, 6, 8, 6, 8, 7, 8, 7, 8, 6}
The mean of the data set is :
(7+6+8+6+8+7+8+7+8+6)/10 = 7.2.
This means that on average, the boys are 7.2 years old.
The range of the data set is 8 - 6 = 2, which is relatively small.
This suggests that there are no extreme values in the data set.
Here, the value 8 occurs most frequently, so the mode is 8.
This means that 8 is the most common age among the boys.
Therefore, the best description of the data is option A.
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I woukd love it if you could help! Paula made this model to show the sum of two mixed numbers. Write the addition equation shown by the model and solve it.
You can write out the fraction names or use the forward slash (/) on your keyboard to represent the fraction bars.
Hello person who is rude
Step-by-step explanation:
why dividing by 0 is undefined?
Answer:
In standard math, the articulation has no importance, as there could be no number which, when duplicated by 0, gives a (expecting to be a ≠ 0), thus division by zero is indistinct. Since any number increased by zero will be zero, the articulation 00 is additionally unclear; when it is the type of a breaking point, it is a vague structure.
Step-by-step explanation:
Answer:
In ordinary arithmetic, the expression has no meaning, as there is no number which, when multiplied by 0, gives a (assuming a ≠ 0), and so division by zero is undefined. Since any number multiplied by zero is zero, the expression 0. 0 is also undefined; when it is the form of a limit, it is an indeterminate form.
hope this helps? my hands hurt lol
Step-by-step explanation:
A restaurant serves a 24-fluid ounce glass of soda that is 40% ice. How many fluid ounces of soda are served
Need help its a test!!!!
Answer:
14.4 fl ounces
Step-by-step explanation:
60% of 24 is 14.4
The percentage is calculated by dividing the required value by the total value and multiply it by 100.
100% = 24 fluid ounce
60% = 14.4 fluid ounce
The amount of soda in the glass of soda is 14.4 fluid ounces.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiply it by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
A glass of soda = 24 fluid ounce
A glass of soda = Soda + Ice
The percentage amount of ice in the glass of soda = 40%
The percentage amount of soda in the glass of soda.
= 100% - 40%
= 60%
A glass of soda = 24 fluid ounce
This can be written as,
100% = 24 fluid ounce
Multiply 60/100 on both sides.
60/100 x 100% = 60/100 x 24 fluid ounce
60% = 14.4 fluid ounce
Thus,
The amount of soda in the glass of soda is 14.4 fluid ounces.
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