As the difference between consecutive terms is the same, the balances form an arithmetic sequence, and:
The common difference is d = 2018.The formula for the balance is: [tex]a_n = 12000 + 2018(n - 1)[/tex]The sum of the balances from 2015 to 2032 is of 478,488.What is an arithmetic sequence?In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.
The nth term of an arithmetic sequence is given by:
[tex]a_n = a_1 + (n - 1)d[/tex]
In which [tex]a_1[/tex] is the first term.
The sum of the first n terms is given by:
[tex]S_n = \frac{n(a_1 + a_n)}{2}[/tex]
From the table, the first term and the common difference are given as follows:
[tex]a_1 = 12000, d = 2018[/tex]
Hence the formula for the balance in the account n years after February 2015 is:
[tex]a_n = 12000 + 2018(n - 1)[/tex]
2032 is 17 years after 2015, hence:
[tex]a_{17} = 12000 + 2018(17 - 1) = 44288[/tex]
The sum is given by:
[tex]S_{17} = \frac{17(12000 + 44288)}{2} = 478,488[/tex]
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Help me on this question pleaseeeeeeeeeeeee
Answer:
The answer is 16
Step-by-step explanation:
If there is 2 pizzas and it is in eighths, then 2 times 8 equals 16. 16 pieces of 1/8 slices.
Answer:
16 students
Step-by-step explanation:
2 pizzas cut into 8ths, 8 slices plus 8 slices = 16
Shelia and her study partner flipped a coin 120 times they flipped 70 heads and 50 tails what is the experimental probability that the next flip will be heads ? A. 58.3% B.50% C.41.7% D.70%
Answer:
A
Step-by-step explanation:
58.3 is the possibility :)
which one is a function please help me!!!??????
Answer:
b
Step-by-step explanation:
b is the only one that if you draw a vertical line at ani point on the graph does not intersect the graph more than once
Which of the following types of angles DO NOT have equal measure in the figure shown?
Choose one 4 points
O Alternate Interior Angles
Alternate Exterior Angles
O Adjacent Angles
O Corresponding Angles
5/6
7/8
1/2
3/4
Intersecting Lines
Out of the following types of angles adjacent angles do not have equal measure.
Here, from the given figure, we can see that the 2 horizontal lines are parallel to each other and a transversal is drawn between them.
When 2 lines are parallel and joined by a transversal, any two pairs or alternate exterior angles, alternate interior angles and corresponding angles will be equal.
However, any to pairs of adjacent angle will not be equal. The sum of a pair of adjacent angles that lie on the straight line is 180°.
Here, one pair of adjacent angles is ∠1 and ∠2. Thus-
∠1 + ∠2 = 180
∠1 and ∠2 will be equal only when both of them are 90° each. Here, we are not given that they are 90.
Hence, out of the following types of angles adjacent angles do not have equal measure.
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-9 - (-4) =
What does that equal to?
Answer:
-5
Step-by-step explanation:
When you subtract a negative you end up adding it instead
What is -3(2a + 5b - 4y - 2)?
Answer: -6a-15b+12y+6
Step-by-step explanation:
Question 6 of 15
What is the value of the number in the tenths place?
1.793
O A. 0.1
O B. 0.09
O C. 0.7
O D. 0.07
225× (_4) please help help me me my question solve please
Answer:
C
Step-by-step explanation:
Becasue its the first digit to the right of the decimal.
The second side of a triangle is 2 times the first side. The third side of a triangle is 6 times the first side. If the perimeter of the triangle is 72 feet, find the length of each side.
Answer:
First side is 8 feet
second side is 16 feet
third side is 48 feet
Step-by-step explanation:
x + 2x + 6x = 72
9x = 72
x = 72/9
x = 8
A rental company charges $70 a day and 20 cents a mile for renting a truck. Michael rents a truck for 3 days, and his bill came to $295. How many miles did he drive?
Michael drove 1125 miles and paid $295 for renting the truck for 3 days
Rental company charges per day = $70
Rental company charges per mile = $0.20
Number of days truck is rented by Michael = 3 days
The total amount paid by Michael for the truck = $295
Let x be the number of miles Michael drives the truck
Formulating the equation using the information given in the question:
295 = 70 + 0.20(x)
295-70 = 0.20(x)
225 = 0.20(x)
x = 1125 miles
Therefore, the total miles driven by Michael is 1125 miles.
Michael paid $295 for driving the truck for 1125 miles and renting it for 3 days.
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I had a dream of a beautiful cupcake tree, growing 4 loveee cupcakes every 12 hours for 36 hours. Please make my dream come true.
The beautiful cupcake tree can grow 12 cupcakes in 36 hours.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
The cupcake tree could grow 4 love cupcakes every 12 hours for 36 hours.
Hence:
Total number of cupcakes in 36 hours = (4 cupcake per 12 hour) * 36 hour = 12 cupcakes.
The beautiful cupcake tree can grow 12 cupcakes in 36 hours.
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A car manufacturer wants to analyze the safety
features of 7 different car models by comparing
each model with every other model. If each com-
parison costs $4,000, how much will the manufac-
turer spend altogether?
A. $28,000
B. $32,000
C. $48,000
D. $84,000
1. Continuous Compounding A certain investment is
subject to continuous compounding. The value of
the investment after t years is given by
V = 5000e0.05t dollars.
a. Make a graph of the value of the investment over
the first 20 years.
4. E
C
How do I make a graph
The graph of equation V = 5000[tex]e^{0.05t}[/tex] is upward sloping straight line.
We are provided with the equation V = 5000[tex]e^{0.05t}[/tex]
The equation can be simplified as
V = 5000 e0* (0.05t)
V= 250t
This linear equation can be plotted for different values of t which are
If t=0, V = 0
If t=1, V = 250
If t=2, V = 500
If t=3, V = 750
If t=4, V = 1000
If t=5, V = 1250
If t=6, V = 1500
If t=7, V = 1750
If t=8, V = 2000
If t=9, V = 2250
If t=10, V = 2500
If t=11, V = 2750
If t=12, V = 3000
If t=13, V = 3250
If t=14, V = 3500
If t=15, V = 3750
If t=16, V = 4000
If t=17, V = 4250
If t=18, V = 4500
If t=19, V = 4750
If t=20, V =5000
Now, we just have plot these 20 coordinates
The graph of equation V = 5000[tex]e^{0.05t}[/tex] is upward sloping straight line.
A linear equation is an equation with the maximum degree of one. This means that in a linear equation, no variable has an exponent greater than 1. A linear equation's graph is always a straight line.
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Simplify 8/-4 ÷ -3/9 . (5 points)
Question 10 options:
1)
6
2)
-6
3)
12
4)
-12
Answer:
1)
Step-by-step explanation:
8/-4 ÷ -3/9
8/-4 × 9/ -3 = 6
Write 0.6951 as a fraction.
Answer: 6951/10000
Step-by-step explanation:
Answer:
6951/10000
Step-by-step explanation:
This cannont be simplified anymore.
Mai earns $7 per hour mowing her neighbors' lawns. She also earned
$14 for hauling away bags of recyclables for some neighbors. Priya
babysits her neighbor's children. She earns $8.40 per hour. Priya and
Mai have agreed to go to the movies the weekend after they have
earned the same amount of money for the same number of hours. How
many hours do they have to work before they can go to the movies?
How much will they have earned?
Answer:
10 hours, $84
Step-by-step explanation:
System of equations is:
7x+14=y
8.4x=y
Substitute to get:
7x+14=8.4x
subtract 7x from both sides
14=1.4x
x=10
So they will have to have worked for 10 hours
8.4*10=y
84=y
So they will have earned 84 dollars each
x=10 y=84
The recommended maximum target heart rate while you exercise can
be determined by your age using the equation y = -0.852 + 187
where y is the maximum beats per minute and a is your age in
years. Determine the maximum target heart rate for a person who is 18
years old. Do not round your answer.
Bob's average golf score at his local course is 93.6 from a random sample of 34 rounds of golf. Assume that the population standard deviation for his golf score is 4.2. The 90% confidence interval around this sample mean is:_______.
a. (92.4, 94.8).
b. (89.0, 98.3).
c. (90.5, 96.7).
d. (93.2, 94.0).
Answer:
a. (92.4, 94.8)
Step-by-step explanation:
Given that:
Mean (m) = 93.6
Standard deviation (σ) = 4.2
Sample size (n) = 34
α = 90%
Confidence interval around sample mean :
Mean ± Zstatistic * s/√n
Z0.90 = 1.645 (Z probability calculator)
s / √n = 4.2 / √34 = 0.7202940
Lower limit = 93.6 - (1.645 * 0.7202940) = 92.41511637 = 92.4
Upper limit = 93.6 + (1.645 * 0.7202940) = 94.78488363 = 94.8
Which of the following can be used to evaluate the series 9 k=1 2(4) k=1?
Answer:
Option (3)
Step-by-step explanation:
Given expression represents the sum of k terms of a geometric sequence.
[tex]\sum_{k=1}^{9}2(4)^{k-1}[/tex]
Since, formula to calculate the sum of a geometric sequence is given by,
[tex]\sum_{n=1}^{n}a(r)^{n-1}=\frac{a(1-r^n)}{1-r}[/tex]
By this formula,sum of 9 terms of the given sequence will be,
[tex]\sum_{k=1}^{9}2(4)^{k-1}=\frac{2(1-4^9)}{1-4}[/tex]
Therefore, Option (3) will be the answer.
Answer:
Thank you for your service! This was super helpful.
Step-by-step explanation:
(:
Which of these tables is a ratio table?
B
Step-by-step explanation:
you have to divide the numbers to see if they equivalent.
Which situation can be represented by the inequality 6x + 15 100?
GIMMIE THA MFKEN ANSWER!!!!!!!!
Answer:
Bill’s Electric Company charges $6 per hour plus a flat rate of $15 for a service call. If Monica has at least $100 to spend, how many hours can the service man work?
Step-by-step explanation:
here is the mfken answer, have a great day :)
Answer: Bill charges $6 per hour. $15 for a flat-rate service call.
it's A.
Match the equation with its graph. 3 SX-2 4
Answer:
Step-by-step explanation:
hello
15 PIONTS! HELP ASAP >3
What is the value of 2 - (-2)?
Answer:
4
Step-by-step explanation:
key = leave, change, opposite
leave the first value
change the minus sign to a plus sign
change the second value to its opposite, which is 2
2+2=4
therefore it is 4.
A plane flew for 2 hours at 467 mph and 5 hours at 536 mph.How far did the plane fly in miles?
which of the following set represent nam?
what is 3% increase of 775 dollars?
Answer:
23.25
Step-by-step explanation:
Given b = - 14 which equation is true
A. -28 + 2b = 53
B. 2b + 7 = 20
C. 6/7 + 18 = 16
D. b/2 + 7.4 = 1.4
Answer:
b/2 + 7.4 = 1.4 thus D. is the answer
Step-by-step explanation:
Solve for b:
b/2 + 7.4 = 1.4
Put each term in b/2 + 7.4 over the common denominator 2: b/2 + 7.4 = b/2 + 14.8/2:
(b/2 + 14.8/2) = 1.4
b/2 + 14.8/2 = (b + 14.8)/2:
((b + 14.8)/2) = 1.4
Multiply both sides of (b + 14.8)/2 = 1.4 by 2:
(2 (b + 14.8))/2 = 2×1.4
(2 (b + 14.8))/2 = 2/2×(b + 14.8) = b + 14.8:
b + 14.8 = 2×1.4
2×1.4 = 2.8:
b + 14.8 = 2.8
Subtract 14.8 from both sides:
b + (14.8 - 14.8) = 2.8 - 14.8
14.8 - 14.8 = 0:
b = 2.8 - 14.8
2.8 - 14.8 = -12:
Answer: b = -12
Cecilia bought 5 games of
bowling for $25 and Frankie
bought 7 games for $42.
Which is the better buy?
What is f(-3) for the function f(x) = -5x - 7?
graph x-5y=20
please show me the steps
Got this due by tomorrow.
Answer:
f(-1)= 2 f(-3) = -2 f(0)= 4 ( x is -8)
Step-by-step explanation:
replace x with the number and then solve from there