Answer:
Simple Interest (I) = Principle * Rate * Time
so I = PRT
P = $47300
R = 3% = 0.03
T = 4months = 0.33years
so
Assuming its per year after 4month
I = (47300)(0.03)(0.333333)
I = 472.999527
I = $473
Now we'd add the interest(I) to the Principle
$47300 + $473 = $47773.00
Assuming it is per month, after 4months
I = PRT
I = (47300)(0.03)(4)
I = $5676.00
Now add the interest to the principle
$47300 + $5676 = $52976.00
Step-by-step explanation:
there you go hope this help
Please help due two days ago helpp me please Which measure of center is the most appropriate for the data in Table 1 (Height) in Task 1? Give a reason for your answer. calculate the value of the most appropriate center value of the heights.
Answer:
I think the correct answer is....... The measure of center for table 1 is 61, 62, 58, and 57 inches. The most kids had the same number of inches in this category.
I'm not 100% sure so try at your own risk
Have a great day!
The center of measures of table 1 height (task1) are Mean of heights of siblings are 58.29. Median of the height of 24 siblings are 61.5. Mode of the height 24 siblings 57,58,61,62 are the heights in inches.
What is Measures of center?
Measures of center of data set is also "a way of describing data set. The two most widely used measures of the center is mean and median".
What is mean?
Mean is the process of "adding all values and then divided by total number of values".
What is median?
Median is the "process of arranging data value in ascending or descending order and then divided data set into two if 'n' is odd then middle point is the median or if 'n' is even then sum of two mid value and then divided by two".
What is Mode?Mode can be one, "two or more in the given data set. The number or data point which have more frequency is taken as mode".
According to the question,
Measures of center is the most appropriate for the data in Table 1 (Height) in Task 1.
Heights in inches Frequency
55 1
57 3
58 3
59 2
60 1
61 3
62 3
63 2
64 2
65 2
66 1
67 1
Total number of frequency = N = 1+3++3+2+1+3+3+2+2+2+1+1 =24. Number of siblings n =12
Mean = ∑(Height of inches × Frequency of height)/Total number of frequency.
= [tex]\frac{(55*1+57*3+58*3+59*2+60*1+61*3+62*3+63*2+64*2+65*1+66*1+67*1)}{24}[/tex]
= [tex]\frac{1399}{24}[/tex]
= 58.29.
Mean of heights of siblings are 58.29
Median of the height of 24 siblings are sum of 61 and 62 divided by 2.
= [tex]\frac{61+62}{2}[/tex] [since 'n' is odd]
=61.5.
Median of the height of 24 siblings are 61.5.
Mode of the height 24 siblings 57,58,61,62 are the heights in inches.
Hence, the center of measures of table 1 height (task1) are Mean of heights of siblings are 58.29. Median of the height of 24 siblings are 61.5. Mode of the height 24 siblings 57,58,61,62 are the heights in inches.
Learn more about measures of center here
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The copy machine runs for 20 seconds and then jams. About how many copies were made before the jam occurred? Round your answer to the nearest tenth
Answer:
10.7
Step-by-step explanation:
The units for square centimeters are written as
Check all that apply.
O A. cm2
B. sq. cm
C. km2
D. sq.m
E cm
The first term in an arithmetic sequence is 5. The fourth term in the sequence is −4. The tenth term
is −22.
Which function can be used to find the nth term of the arithmetic sequence?
Answer:
aₙ = -3n + 8Step-by-step explanation:
The nth term of an arithmetic sequence: aₙ = a₁ + d(n - 1)
{d = common difference}
a₁ = 5
a₄ = 5 + d(4 - 1)
-4 = 5 + 3d
-4 - 5 = 3d
3d = -9
d = -3
Therefore;
aₙ = 5 + (-3)(n - 1)
aₙ = -3n + 8
Check: a₁₀ = 5 + (-3)(10 - 1) = 5 - 27 = - 22
The nth term of the sequence is Tn = 8 - 3n
How to determine the function of the nth term?The given parameters are:
a = 5, first term
T4 = -4 --- the 4th term
T10 = -22 --- the 10th term
The nth term of an arithmetic sequence is:
Tn = a + (n - 1) * d
So, we have:
T4 = a + (4 - 1) * d
Substitute known values
-4 = 5 +(4 -1) * d
This gives
-4 = 5 + 3d
Subtract 5 from both sides
3d = -9
Divide by 3
d = -3
Recall that:
Tn = a + (n - 1) * d
So, we have:
Tn = 5 + (n - 1) * -3
Expand
Tn = 5 + 3 - 3n
Solve
Tn = 8 - 3n
Hence, the nth term of the sequence is Tn = 8 - 3n
Read more about arithmetic sequence at:
https://brainly.com/question/6561461
1) Evaluate the following expressions.show your work
a) 7(m - 8) for m = -4
Answer:
-84
Step-by-step explanation:
Since m=-4, we can plug -4 into the expression and use PEMDAS
7(m - 8)
7((-4)-8)
7(-12)
-84
I need help please, anyone will to help?
Answer:you just add the numbers to get answer
Step-by-step explanation:
you make a scale drawing of a banner for school dance .you use a scale of 1 inch ,2 feet what is the actual width of the banner HELP ASAP!!!!
Answer:
6.5
Step-by-step explanation:
you take the sides all added up (which was 13in) and divided it by two
Answer: the answer is 18. Trust me. I know what I’m doing lol
Step-by-step explanation:
Help pleas ? Brainliest as prize
Answer:
9
Step-by-step explanation:
There are 9 x's above 1 letter mailed.
An amusement park thrill ride swings its riders back and forth on a pendulum that spins. Suppose the swing arm of the ride is 62 feet in length, and the axis from which the arm swings is about 64 feet above the ground. What is the height of the riders above the ground at the peak of the arc? Round to the nearest foot if necessar
PLEASE HELP
Answer:
118ft
Step-by-step explanation:
dont ask how i got it i just got the answer from my teacher but they didnt show me the work. ur welcome
Help pleaseeeeeeeeeee
Answer:
d
Step-by-step explanation:
hi hottie, pls help me !
Mrs. St. Louis purchased an iPhone 12 Pro. The decreasing value of her phone, after t years, is modeled by the function V(t)=1,200(0.65)^t
Fill in the numbers from the options to correctly complete the statements interpreting this function.
The phone initially cost $______
The value of the phone is depreciating at a rate of _____ % each year.
Answer:
1200
0.65
The answers are in the function
help me please, i’m confused. thanks!
Answer:
Step-by-step explanation:
A cab company charges a $10 boarding fee and a meter rate of $2 per mile. The equation is y=2x+10 where x represents the number of miles to your destination. If you traveled 5 miles to your destination, how much would your total cab be?
Answer: 20$
Step-by-step explanation: You would add 2(5)+10=y so 10+10=y 10 + 10 = 20
In this case (5,20). Hope this helps!!
Which expression is equivalent to 3t - 5 + 8t + 3 ?
Answer:
11t -2
Step-by-step explanation:
3t - 5 + 8t + 3
Combine like terms
3t +8t- 5 + 3
11t -2
Start by changing the problem to 3t + -5 + 8t + 3.
Now combine like terms.
Combine like terms → your numbers
and your "t" terms.
So 3t + 8t is 11t and -5 + 3 is -2.
So the answer is 11t - 2.
on number 6 what should i color in
Answer:
For 5/11 shade in the third bubble (0.45 repeating)
please help is it 2/9?
Answer:
7/9
Step-by-step explanation:
7/9
Answer:
7/9
Step-by-step explanation:
Brainliest maaaybe? :)
What is the result of subtracting the second equation from the first?
-4x-2y=-2
x-2y=9
Answer:
x=2.2
y=-3.4
Step-by-step explanation:
subtract the second from the first
-5x=-11
x=2=2
substituting by x in the first equation
so y=-3.4
Write an equation for the following scenario.
A 4000 fish population of tuna has been growing continuously at a rate of 0.3%.
[tex]4000(1.003)^{(x-1)}[/tex]
Step-by-step explanation:
What two numbers multiply to -5 and add to 4?
Answer:
The two numbers that multiply to -5 and add to 4 are:
5 and -1
Step-by-step explanation:
5 • -1= -5
5 - 1= 4
2 5/6 divided by 3 1/4 please explain .
Answer:
[tex]\frac{34}{39}[/tex]
Step-by-step explanation:
[tex]2\frac{5}{6}[/tex] can be rewritten as [tex]\frac{17}{6}[/tex]
[tex]3\frac{1}{4}[/tex] can be rewritten as [tex]\frac{13}{4}[/tex]
So now
[tex]\frac{17}{6} / \frac{13}{4}[/tex]
Flip the second fraction and multiply
[tex]\frac{17}{6} * \frac{4}{13} = \frac{68}{78}[/tex]
Now reduce the fraction
[tex]\frac{34}{39}[/tex]
A homeowner installs a solar heating system, which generates 20 savings at a rate of 300e t dollars per year, t years after installation. Find a formula for the total savings after t years. If the system cost 30000 dollars to install, when will the savings match the installation cost
Answer:
"35.84 years" is the appropriate solution.
Step-by-step explanation:
The given values are:
Rate of savings generation,
[tex]s'(t)=300e^{\frac{t}{20} }[/tex]
System cost to install,
= $30000
Now,
The total savings will be:
⇒ [tex]s(t)=\int\limits s'(t) \ dt[/tex]
On substituting the values, we get
⇒ [tex]= \int\limits 300e^{\frac{t}{20} } \ dt[/tex]
⇒ [tex]s(t)=\frac{300e^{\frac{t}{20} }}{\frac{1}{20} }+c[/tex]
When,
Savings = 0
t = 0, then
⇒ [tex]0=6000e^o+c[/tex]
⇒ [tex]c=-6000[/tex]
The formula will be:
⇒ [tex]s(t)=6000[e^{\frac{t}{20} }-1][/tex]
On putting the values in the above formula, we get
⇒ [tex]30000=6000(e^{\frac{t}{20} }-1)[/tex]
[tex]5=e^{\frac{t}{20}}-1[/tex]
[tex]e^{\frac{t}{20} }=6[/tex]
On taking log, we get
⇒ [tex]\frac{t}{20} =log \ 6[/tex]
[tex]t=20 log 6[/tex]
[tex]=35.84 \ years[/tex]
Lizzy had test scores of: 72, 94, 108, 60What is the RANGE of her test scores?
Answer:
48
Step-by-step explanation:
To find the range, you have to subtract the biggest/largest number by the smallest number:
108 - 60 = 48
The range is 48.
Can someone help me with this problem
Answer:
51 degrees
Step-by-step explanation:
As we already know that this triangle is a right triangle.
To find x, you need to subtract both angles.
90 - 39
= 51
Please help! I need this answer right ! And I’m unsure can you LMK ASAP???
Answer:B
Step-by-step explanation:
Cool-down Melanie and Kala each started solving equation 2 for x. 1 (7x – 6) = 6x – 10 The result of Melanie's first step was: 3.5x = 6 = 6x - 10 The result of Kala's first step was: 7x - 6= 12x - 20 One of them made an error. Who was it, and what was the error?
I need to find who made the error and what was the error
Answer:
Kala's first step.
Step-by-step explanation:
Solving linear equations.
Step 1: Simplify each side, if needed. Step 2: Use Add./Sub. Properties to move the variable term to one side and all other terms to the other side. Step 3: Use Mult./Div. Step 4: Check your answer. I find this is the quickest and easiest way to approach linear equations. Example 6: Solve for the variable.But Kala did not do that. Instead, she skipped the first stages and moved on ahead, making her equation invalid.
x - 8 = 68 what is the value of
x
x - 8 = 68
x - 8 + 8 = 68 + 8
x = 76
hope this helped
i need help with this questionnnn
A system of equations consists of two lines. One line passes through (8,4) and (6.3) and the second line passes through (0, -2) and (4.0).
Answer:
system is:
y = 1/2x
y = 1/2x - 2
No Solution to this system
Step-by-step explanation:
If x and y are two rational numbers such that x < y , then ______ is a rational number in between x and y.
Answer:
[tex]\dfrac{x+y}{2}[/tex]
Step-by-step explanation:
Let first number be x and another number is y.
A rational number is a fraction that can be expressed in the form of x/y.
A rational number between x and y is given by :
[tex]R=\dfrac{x+y}{2}[/tex]
So,
If x and y are two rational numbers such that x < y , then [tex]\dfrac{x+y}{2}[/tex] is a rational number in between x and y.
A piece of blue yarn is 8 3/10 yards long. A piece of pink yarn is 4 times as long as the blue yarn. What is the total length of the blue and pink yarn
Answer:
41.5 Yards
Step-by-step explanation:8 3/10 * 4 = 33.2,
33.2+8 3/10 = 41.5
