Answer:
Interest = [tex] \boxed{\$ 789.75} [/tex]
Explanation:
Interest [I] = principle × rate × time [prt]
______________________________
x% = x/100
a b/c = a + (b/c) = (ac + b) / c
______________________
I = prt
I = ($1,950)(4 ½%)(9)
I = ($1,950)(0.045)(9)
I = ($87.75)(9)
I = ($789.75)
I = $789.75
A car is driving towards home at 0.5 miles per minute. If the car is 4 miles from home at t=0 , which of the following can represent the distance that the car has left to drive? Explain your reasoning.
A. 0.5t
B. 4+0.5t
C. 4-0.5t
D. 4(0.5t)
The distance that the car has left to drive can be represented as option (D) 4(0.5t) is the correct answer.
What is speed?
The speed is the rate of change of position of an object in any direction. Speed tells us how fast or slow an object travels and describes the distance traveled divided by the time taken to cover the distance.
For the given situation,
The speed of the car,S = 0.5 miles per minute
Let the time be t.
Let the distance be D.
The distance between the car and the home = 4 miles.
The formula that relates speed, distance and time is
[tex]Speed=\frac{Distance}{time}[/tex]
⇒ [tex]Distance=(Speed)(time)[/tex]
Here initially at t=0, the car is 4 miles apart from the home and it travels at 0.5 miles per minute, so the equation can be represented as
⇒ [tex]D=4(0.5t)[/tex]
Hence we can conclude that the distance that the car has left to drive can be represented as option (D) 4(0.5t) is the correct answer.
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PLEASE HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
add 6 to both sides and dividing both sides by 5.
Answer:
add 6 to both sides then divide both sides by 5
Step-by-step explanation:
what's the following rotational symmetries of oranges regular hexagon
Answer:
rotational symmetry of 60 degrees around the origin - yes
rotational symmetry of 120 degrees around the origin - yes
Step-by-step explanation:
A regular hexagon has 6 congruent angles
the the angles created on the line of symmetry are equal to 60 so the angle of rotational symmetry is 60 degrees.
The regular hexagon, like stated before, has 6 congruent angles so the order of symmetry is 6
Here is a visual from basic-matematics
Jamie, Daniel, and Taylor want apples. Jamie cuts 5 apples into equal-sized pieces. If they all eat the same amount, how many apples will each person eat
Answer:
1⅔
Step-by-step explanation:
Asking I'd say it's simply 5 apples divided by
the three of them to get 1⅔
Two small space probes have been slowed to 10 m/s as they approach the Moon from the same direction. Probe 1 has a mass of 86 kg, and probe 2 has a mass of 100 kg. What is their total momentum? A. 8600 kg O B. 1000 kg-m/s O C. 860 kg-m/s O D. 1860 kg-m/s SUBMIT
The total momentum of the two probes with given mass and velocity is equal to option D. 1860 kg m/s.
velocity of probe = 10m/s
mass of probe 1 = 86kg
mass of probe 2 = 100kg
The momentum of an object is given by the product of its mass and velocity.
So, to calculate the total momentum of the two probes,
Find the momentum of each probe, and then add them together.
The momentum of probe 1 is equal to,
p₁ = m₁ × v
Substitute the value we have,
⇒ p₁ = 86 kg × 10 m/s
⇒ p₁ = 860 kg m/s
The momentum of probe 2 is equal to,
p₂ = m₂ × v
⇒ p₂ = 100 kg × 10 m/s
⇒ p₂ = 1000 kg m/s
The total momentum of the two probes is the sum of their individual momenta is equal to
p = p₁ + p₂
⇒ p = 860 kg m/s + 1000 kg m/s
⇒ p = 1860 kg m/s
Therefore, the total momentum of the two probes is option D.1860 kg m/s.
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Write the slope intercept form of the equation of the line. x + 8y = 24
Taylor has 5 yards of gold ribbon to decorate
8 costumes for the school play. She plans to
use the same amount of ribbon for each
costume. How many yards of ribbon will she
use for each costume?
Can someone help me please and show work thank you
Answer:
60% decrease
Step-by-step explanation:
To work out percentage change you takeaway the original number by the new number (New number-Original number) in this case 24-60=(-36), then divide the decreased amount by the original number and multiply the answer by 100 (Decrease amount ÷ Original number x 100) for this question you'd do (-36)÷60=(-0.6) then (-0.6)x100=(-60).
The minus shows its a decrease in percentage by 60%
(I hope this helps srry if it doesn't make sense)
Jodie has $70 to spend on flowers for a school event. She wants to buy roses for $24 and spend the rest on lilies. Each lily flower costs $12. How many can she purchase without going over her budget?
Answer:
only 3
Step-by-step explanation:
A χ2 goodness-of-fit test where all assumptions were met yielded the chi-square test statistic χ2=1.92 and a corresponding p-value of 0.75. The researcher interpreted the p-value as a 0.75 probability of observing a test statistic of χ2=1.92 or larger. What is wrong with the researcher’s interpretation?
Answer:
The researcher did not state that the p-value is conditional on the null hypothesis being true.
Step-by-step explanation:
The p-value or the assumed value represent the probability in which the test results that are received would be atleast extreme in that the null hypothesis would be correct
Here the wrong thing would be that researcher would not stated the p value is in conditional form based on the null hypothesis being true
Therefore the correct option is A.
SOMEBODY HELP ME ASAP PLSSSS
Answer:
A
Step-by-step explanation:
When finding out which number is the greatest, I would convert these numbers to numerals with decimals for easier comparison.
3[tex]\sqrt{5}[/tex] is approximately 6.71.
6[tex]\frac{1}{4}[/tex] is 6.25
6.55 is, well 6.55.
From here, we can tell that 6.71 is the greatest, followed by 6.55 and 6.25 is the smallest. Thus, the order in descending order should be 3[tex]\sqrt{5}[/tex], 6.55 then 6[tex]\frac{1}{4}[/tex], which is Option A.
Find the perimeter of a rectangle with a length of 9 yards and a width of 6 yards. Enter only the number of yards in the answer box. The perimeter is ____ yards.
Answer:
Step-by-step explanation:
30
5th grade math. correct answer will be marked brainliest
Answer:
8 1/12 boxes
Step-by-step explanation:
Your first step to solve this problem is to convert those fractions to a common denominator. I would choose 12. So your first would be 4 4/12 and your second would be 3 9/12. You would then add those up and get 8 1/12 boxes of muffins bought at the bake sale.
Function Notation
If f(x) = -3x2 + 2x - 8, find each of the following:
f(-1)
f(0)
f(3)
f(1/3)
factorise x^{2} +2x-24[/tex]
Answer:
(x + 6)(x - 4)
Step-by-step explanation:
x² + 2x - 24
(x + 6)(x - 4)
-4 and +6 multiply to 24 and add to +2.
PLZZZZ HELPPP MEE!!!!!
Answer:
-60
Explanation:
6x(2x-5) always do what's in the parentheses first
6x(-10)
= -60
PLEASE HELP I WILL MARK BRAINLIST!!
Answer:
umm whats the question-
help you in what man?
there is no question
Let f be defined by the function f(x) = 1/(x^2+9)
(a) Evaluate the improper integral [tex]\int\limits^{∞}_3 {f(x)} \, dx[/tex] or show that the integral diverges
(b) Determine whether the series ∑n=3∞ f(n) converges or diverges State the conditions of the test used for determining convergence or divergence
(c) Determine whether the series ∑n=1∞(−1)n(en⋅f(n))=∑n=1∞(−1)n(n2+9)en converges absolutely, converges conditionally, or diverges (image put below)
(a)
[tex]\displaystyle\int_3^\infty \frac{\mathrm dx}{x^2+9}=\lim_{b\to\infty}\int_{x=3}^{x=b}\frac{\mathrm dx}{x^2+9}[/tex]
Substitute x = 3 tan(t ) and dx = 3 sec²(t ) dt :
[tex]\displaystyle\lim_{b\to\infty}\int_{t=\arctan(1)}^{t=\arctan\left(\frac b3\right)}\frac{3\sec^2(t)}{(3\tan(t))^2+9}\,\mathrm dt=\frac13\lim_{b\to\infty}\int_{t=\arctan(1)}^{t=\arctan\left(\frac b3\right)}\mathrm dt[/tex]
[tex]=\displaystyle \frac13 \lim_{b\to\infty}\left(\arctan\left(\frac b3\right)-\arctan(1)\right)=\boxed{\dfrac\pi{12}}[/tex]
(b) The series
[tex]\displaystyle \sum_{n=3}^\infty \frac1{n^2+9}[/tex]
converges by comparison to the convergent p-series,
[tex]\displaystyle\sum_{n=3}^\infty\frac1{n^2}[/tex]
(c) The series
[tex]\displaystyle \sum_{n=1}^\infty \frac{(-1)^n (n^2+9)}{e^n}[/tex]
converges absolutely, since
[tex]\displaystyle \sum_{n=1}^\infty \left|\frac{(-1)^n (n^2+9)}{e^n}\right|=\sum_{n=1}^\infty \frac{n^2+9}{e^n} < \sum_{n=1}^\infty \frac{n^2}{e^n} < \sum_{n=1}^\infty \frac1{e^n}=\frac1{e-1}[/tex]
That is, ∑ (-1)ⁿ (n ² + 9)/eⁿ converges absolutely because ∑ |(-1)ⁿ (n ² + 9)/eⁿ| = ∑ (n ² + 9)/eⁿ in turn converges by comparison to a geometric series.
If you can drive 340 miles in 5 hours, what is the unit rate? *
(2 Points)
Enter your answer
Two more than five times a number is less than or equal to 47
WRITE THAT AS AN INEQUALITY. IF YOU DON'T KNOW WHAT THAT IS THIS IS AN EXAMPLE 3g - 4 ≥ 17
A first-aid cream contains amounts of the active ingredient (in mg) that vary Normally with unknown mean m and standard deviation s from tube to tube. You select a simple random sample of 9 tubes and assess the quantity of active ingredient they contain. The 9 amounts, in mg, are 23 24 23 29 28 26 27 28 26 Based on these data, a 99% confidence interval for the population mean m has margin of error of ____ mg.
Answer:
2.5 mg
Step-by-step explanation:
Given the data:
23 24 23 29 28 26 27 28 26
The sample standard deviation, s
s = sqrt[Σ(x - mean)²] ÷ (n - 1)
Mean, m = ΣX / n
n = 9
Mean = 234 /9 = 26
Using a calculator :
s = 2.236
The margin of error, MOE
MOE = Tcritical * s/sqrt(n)
Tcritical at df = (n-1) = 9-1 = 8 , α = 0.01 = 3.35536
MOE = 3.35536 * 2.236/sqrt(9)
MOE = 3.35536 * 2.236/3
MOE = 3.35536 * 0.7453333
MOE = 2.50086
MOE = 2.5
At a Beirut market, oranges are priced at $1.29/KG. Ms. X buys 10 oranges that have a total weight of 4.82 kgs. What is the average price per orange that she pays?
Answer:
The average price of each orange is $0.62.
Step-by-step explanation:
Given that at a Beirut market, oranges are priced at $ 1.29 per kilo, and Ms. X buys 10 oranges that have a total weight of 4.82 kilograms, to determine what is the average price per orange that she pays must perform the following calculation:
(4.82 x 1.29) / 10 = X
6.21 / 10 = X
0.62 = X
Thus, the average price of each orange is $ 0.62.
In a local middle school, there are 20 Science teachers, 30 Social
Studies teachers and 600 students. What is the ratio between the number
of Science teachers and the number of students for this school? *
1:12.
1:30
1:35
1:40
Answer:
no of science teachers is 20
no of students is 600
ratio=20/600
=20:600
=1:30
pls give me brainliest
If the radius is 25 mm, what is the Diameter
Answer:
7.96
Step-by-step explanation:
If y = 12 when x = 9 find, x when y = 4
Answer:3
Step-by-step explanation:
12/4=3, 9/3=3
hope it helps
sjdjwkfmwkfkekfmkdekjejwje
Answer:
I think yes but it could be no. Sorry if I am wrong but it should be yes.
&50+ E3 857=6180 150 #130 GELD Four girls have $5.00 to share equally. How much money will each girl get? Explain. What if four girls want to share $5.52 equally? Hov vill each
girl get? Explain.
answer is 5.00/4=1.25
Answer:
Step-by-step explanation:
(5 dollars)/(4 girls) = (5/4 dollars)/girl = (1.25 dollars)/girl
:::::
(5.52 dollars)/(4 girls) = (5.52/4 dollars)/girl = (1.38 dollars)/girl
Help shefeejhrhrhhtuy
Answer:
c. 80,360
Step-by-step explanation: multiply the number of cases they make each day by the amount of pastries each case contains
what is the slope of the line.
Answer:
m=3/2 or m=1.5
Step-by-step explanation:
slope formula:
m=(y1-y2)/(x1-x2)
in order to get this we need two points such as (3,0) and (1,-3) which are points on this line. So:
m=(0-(-3))/(3-1)
m=3/2 or m=1.5
A line with a slope of 0 passes through the point (9,5). What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:y=x+5
Step-by-step explanation:
