Answers
Related Questions
Factor completely 36x2 + 6x - 6
Answers
Answer:
78x - 6 = 72x
Step-by-step explanation:
Greatest common factor of 36 and 6 is 6.
First pull 6 out of each term:
6(6x^2 +x -1)
Now factor the polynomial :
6(3x-1)(2x+1)
Samuel invested $53,000 in an account paying an interest rate of 6.7% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 17 years?
Answers
Answer:
A≈165553.09
Step-by-step explanation:
To the nearest cent, there would be $174,529.50 in Samuel's account after 17 years of continuous compounding at an interest rate of 6.7%.
What is continuous compounding?The formula for calculating the amount of money in an account with continuous compounding is:
[tex]A = Pe^{(rt)}[/tex]
where:
A = the amount of money in the account after t years
P = the principal amount invested
r = the annual interest rate (as a decimal)
t = the time in years
e = Euler's number (approximately 2.71828)
Using this formula, we can calculate the amount of money in Samuel's account after 17 years as follows:
[tex]A = 53,000 \times e^{(0.067\times 17)[/tex]
A ≈ $174,529.50
Therefore, to the nearest cent, there would be $174,529.50 in Samuel's account after 17 years of continuous compounding at an interest rate of 6.7%.
To know more about continuous compounding follow
https://brainly.com/question/30751082
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Find the slope of the line that passes through:
(-4,7) and (-6, -4)
Answers
Answer:
Ok:
Step-by-step explanation:
The formula is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. Here, we can plug in values where x2 = -6, x1 = -4, y2=-4, and y1 = 7. Solving, we get the slope is 11/2 or 5.5.
3. Corbett’s sold 3 more footballs than basketballs on Saturday. In total, they sold 27 balls. How many of each kind were sold?
4. A hamburger has twice as many calories as a bowl of soup. Together they have 738 calories. How many calories are in each?
5. Carmen’s golf score was 6 strokes less than Lisa’s. Their two scores totalled 168. What was each girl’s score?
6. The sum of two consecutive numbers is 191. What are the two numbers?
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Answer:
3.
let basketballs be x
and footballs will be 3 + x
3 + x + x = 27
2x = 27 - 3
2x = 24
x = 12
basketballs were 12 and footballs 15
4.bowl of soup x
hamburger 2x
2x + x = 738
3x = 738
x = 246
bowl of soup 246 calories
hamburger 492 calories
5. lisa x
carmen x - 6
x - 6 + x = 168
2x = 174
x = 87
lisa 87 strokes and carmen 81 strokes
6. first number x
second number x + 1
x + x + 1 = 191
2x = 190
x = 95
first number is 95 and second number is 96
Find the slope between the following two points.
(9, 0), (12, -1)
Answers
Answer:
[tex]-\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]m=\frac{rise}{run}=\frac{-1-0}{12-9}=\frac{-1}{3}=-\frac{1}{3}[/tex]
Hope this helps.
Find the sale price of the item. Round to two decimal places if necessary.
Original price: $76.00
Markdown: 33%
The sale price is $ .
PLZ ANSWER ASAP!
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I divided 76.00 by 33
A box of Cookies original cost $2. 15. It is on sale for 15% off. What is the cost of the cookies after discount ?
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Answer:
$1.83
Step-by-step explanation:
$2.15 (original price of cookies) - 15% (discount) = $1.83 (rounded since the original total was: 1.8275)
8(x+1)-7x ≥-3 help me find the solution
Answers
Answer:
x [tex]\geq[/tex] 11
Step-by-step explanation:
[tex]8\left(x+1\right)-7x[/tex]
[tex]8x+8-7x[/tex]
[tex]x+8[/tex]
Then..
[tex]x+8\ge \:-3[/tex]
Subtract 8 from both sides
[tex]x+8-8\ge \:-3-8[/tex]
Then, you got your awnser.
[tex]x\ge \:-11[/tex]
5.76
228
35
Which list shows the lengths in order from greatest to least?
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Answer:
the correct order of these from greatest to least is. 228, 35, 5.76
Find the principal. Annual rate of interest= 11% Period=3 years Total interest= 825 rupees Principal rupees
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Answer:
I = $ 1,937.50
Step-by-step explanation:
The polynomial P is graphed.
What is the remainder when P(x) is divided by (x+1)? Your answer should be an integer.
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===================================================
Explanation:
The remainder theorem says that if we divide some polynomial p(x) over (x-k), then p(k) is the remainder.
The expression x+1 is the same as x-(-1). Comparing this to x-k shows k = -1.
So we'll need to evaluate p(-1)
To do so visually, draw a vertical line through -1 on the x axis. Make sure this vertical line crosses the blue curve at some point, which I'll call point A.
From point A, draw a horizontal line to the y axis. You should reach y = 3.
This is all shown in the diagram below.
In other words, the point (-1,3) is on the blue curve, and p(-1) = 3.
So the remainder is 3.
Answer:
3
Step-by-step explanation:
A teacher instituted a new reading program at school. After 10 weeks in the program, it was found that the mean reading speed of a random sample of 19 second grade students was 90.7 wpm. What might you conclude based on this result? Select the correct choice below and fill in the answer boxes within your choice. (Type integers or decimals rounded to four decimal places as needed.)
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Complete question is;
The reading speed of second grade students in a large city is approximately normal, with a mean of 91 words per minute (wpm) and a standard deviation of 10 wrpm. A teacher instituted a new reading program at school. After 10 weeks in the program, it was found that the mean reading speed of a random sample of 19 second grade students was 90.7 wpm. What might you conclude based on this result? Select the correct choice below and fill in the answer boxes within your choice. (Type integers or decimals rounded to four decimal places as needed.)
Answer:
We would conclude that the new program doesn't seem to be more effective than the old program.
Step-by-step explanation:
We are given;
Population mean; μ = 91
Population standard deviation; σ = 10
Sample mean; x¯ = 90.7
Sample size; n = 19
Formula for z-score
z = (x¯ - μ)/(σ/√n)
z = (90.7 - 91)/(10/√19)
z = -0.131
From online p-value from z-score calculator attached, using z = -0.131; significance level = 0.05; one tailed, we have;
P-value = 0.4479
This is more than the significance level of 0.05. Thus, we would conclude that the new program doesn't seem to be more effective than the old program.
⚠️⚠️ HELP ASAP MARKING BRAINLIEST ⚠️⚠️
I will be forever gratefullllajanaamsms smaka
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Answer:
slope is 2 and y intercepts at (0,3)
Compare the ratios 4:5 and 16:20.
I need this quick
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I need help with this geometry
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hopefully i’m not wrong
Find each quotient
-7/12 divided by 1/7
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Answer:
-4 1/12
i just put it in a calculator
Between which two integers can the square root of 37 be found?
Answers
Answer:
37 lies between two perfect squares, 36 and 49.
Step-by-step explanation:
Answer:
18 and 19
Step-by-step explanation:
2n= 37-1
n= 36/2 = 18 :)
x
+3<4
-7
WHATS THE ANSWER PPL
Answers
Answer:
x
12
Step-by-step explanation:
hope it helps
3900 people attended a football game. If 25% of the people who attended were teenagers, how many teenagers attended the game?
Answers
Answer:
975 teenagers attended the game.
The picture is above I’ll make as brainliest.
Answers
Answer: y= -6
Step-by-step explanation:
Answer:
y = -6
Step-by-step explanation:
[tex]y = | - 2| - 8 \\ [/tex]
y = 2 - 8
y = -6
this graph shows how fast the International Spacd Station travels in orbit around Earth. what is the meaning of the point with an x-coordinate of 2
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Answer:
have you found the answer I need it to
On which interval is y = sin(x) strictly increasing?
(Negative pi, negative StartFraction pi Over 2 EndFraction)
(0, pi)
(StartFraction pi Over 2 EndFraction, StartFraction 3 pi Over 2 EndFraction)
(0, StartFraction pi Over 2 EndFraction)
Answers
Answer:
The function is strictly increasing on (0, π/2)
Step-by-step explanation:
We are given the function;
y = sin x
Let's find the derivative;
dy/dx = cos x
Now, Cos 0 = 1
Cos (π/4) = 1/√2
Cos (π/2) = 0
From the above, we can see that as x approaches 0 from (π/2), the value of (cos x) approaches 1. This means it's increasing from 0 to 1.
Thus, the function is strictly increasing on the interval (0, π/2)
Answer:
D. (0, pi/2)
Step-by-step explanation:
If you graph y=sin(X) (I used desmos) then you find that the graph is increasing from 0 to pi/2 :)
Rewrite in simplest terms: -7(10p-10)+3(-6p-6)
Answers
Answer:
−88p + 52
Step-by-step explanation:
For question A, I figured out one of the expressions is n^2+2, but I need two, and I have no idea what the second one could be.
For B, I figured out it’s a Quadratic function, but I need help explaining why.
For C, I have nothing.
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How many number of terms does 5x^3 have
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Answer:
Step-by-step explanation:
5[tex]x^{3}[/tex] has only one term and that is 5[tex]x^{3}[/tex]
Hope this helps
plz mark as brainliest!!!!!
Jermaine is going off to college and needs to figure out how much he needs to pay. Jermaine will be getting $1,000 in savings, $500 from work study, and $13,000 from grants. If the total cost of tuition is $63,000, how much remaining tuition does Jermaine have?
Answers
Answer:
48950$
Step-by-step explanation:
Answer:
$48,500
Step-by-step explanation:
63000-1000-500-13000=x
PLEASE HELP!
Elsa Is taking physical fitness tests in her strength training class. Each day, her results are compared to her resutts from previous days. The first day she completes a test is considered the baseline, and Is represented by 0. For instance, on the first day she did the flexibility test, her result was calculated as 0. On the second day, in comparison to her first day's result, she was able to reach 1 1/16 inches less than the first day, which was recorded as -1 1/16. Then, on the third day, Elsa recorded a result of -5/8.
A. On which day did Elsa reach farther: the second or third day?
B. By how much?
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Answer:
A) The second day
B) 9/16 inches
A) Elsa reached farther on the second day because -1/16 > -5/8
B) To calculate this we must first put both fractions above the same denominator. We can then subtract the smaller one from the bigger one:
-1/16 - (-10/16) = 9/16
Elsa reached 9/16 inches farther on the second day then she did on the first.
Hope this helps and have a great day!
Also stay safe! :))))
please help what is 400÷56×14÷3
Answers
Answer: 33.3_
Step-by-step explanation:
400 divided by 56 equals 17.14_ and 17.4_ multiplied by 14 equals 100 and divided by 3 is equal to 33.3_
Answer: 0.0425
Step-by-step explanation:
PEMDAS
1. 56x14
2. 400/784
3. 0.1275/3
4. 0.0425
Del Gato Clinic's cash account shows a $11,589 debit balance and its bank statement shows $10,555 on deposit at the close of business on June 30. Outstanding checks as of June 30 total $1,829. The June 30 bank statement lists a $16 bank service charge. Check No. 919, listed with the canceled checks, was correctly drawn for $467 in payment of a utility bill on June 15. Del Gato Clinic mistakenly recorded it with a debit to Utilities Expense and a credit to Cash in the amount of $476. The June 30 cash receipts of $2,856 were placed in the bank's night depository after banking hours and were not recorded on the June 30 bank statement.
Answers
Answer:
Adjusted bank balance $11,582
Adjusted book balance $11,582
Step-by-step explanation:
Preparation of bank reconciliation statements
DEL GATO CLINIC Bank Reconciliation
June 30
Bank statement balance $10,555
Add: Bank deposit $2,856
Total $13,411
Deduct: Outstanding checks $1,829
Adjusted bank balance $11,582
($13,411-$1,829)
DEL GATO CLINIC Bank Reconciliation
June 30
Book balance $11,589
Add: Error in check $9
($467-$476)
Deduct: Bank charges$16
Adjusted book balance $11,582
($11,589+$9-$16)
Therefore Adjusted bank balance will be $11,582 while Adjusted book balance will be $11,582
If x=2, what is the value of y in the equation y=3x−1
A. y=3
B. y=-5
C. y=-3
D. y=5
please help fast please
Answers
Answer:
D.
Step-by-step explanation:
If y=3(2)-1, then y=6-1, therefore y=5