Answer:
The right answer is "605 persons".
Step-by-step explanation:
Given that,
⇒ [tex]\frac{dP}{dt} \alpha P[/tex]
or,
⇒ [tex]\frac{dP}{dt} =RP[/tex]
⇒ [tex]\frac{1}{R} \int\limits^{PT}_{500} {\frac{dP}{P} } = \int\limits^{t}_{0} dt[/tex]
⇒ [tex]\frac{1}{R} [log PT-log500]=t[/tex]
⇒ [tex]log[\frac{PT}{500} ]=Rt[/tex]
At t = 10 years,
⇒ [tex]PT=\frac{110}{100}\times 500[/tex]
[tex]=550[/tex]
∴ [tex]log[\frac{550}{500} ]=R\times 10[/tex]
[tex]R=\frac{log(1.1)}{10}[/tex]
At t = 20,
⇒ [tex]log{\frac{PT}{500} }=\frac{log \ 1.1}{10}\times 20[/tex]
[tex]PT=500\times (1.1)^2[/tex]
[tex]=605 \ persons[/tex]
Find the volume of the prism.
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Answer:
420 mm³
Step-by-step explanation:
The volume is given by the formula ...
V = Bh
where B is the area of the triangular base, and h is the height.
The triangular base area is given by the formula ...
A = 1/2bh
A = 1/2(10.5 mm)(10 mm) = 52.5 mm²
Then the volume of the prism is ...
V = (52.5 mm²)(8 mm) = 420 mm³
A $7,000 principal is invested in two accounts, one earning 1% interest and another
earning 5% interest. If the total interest for the year is $202, then how much is invested
in each account?
$
at 1% interest
$
at 5% interest
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Answer:
$3700 at 1%$3300 at 5%Step-by-step explanation:
For "mixture" problems, I like to let the variable represent the amount of the largest contributor. Here, we can let x represent the amount invested at 5%. Then the amount invested at 1% is (7000-x). The total interest earned is ...
0.05x +0.01(7000 -x) = 202
0.04x = 132 . . . . . . . . simplify, subtract 70
x = 3300
(7000 -x) = 7000 -3300 = 3700 . . . . at 1%
$3700 was invested at 1% interest.
$3300 was invested at 5% interest.
Please help and find and explain Claire’s Mistake
You decide to work out your weekly pay by using the following formula:
p = 5hr
p is weekly pay
h is hours worked
r is rate of pay per hour
This week you worked 8 hours a day, for 5 days, at an hourly rate $6.88.
How much did you earn? $
Answer:
p = 5(8)(6.88)
p = $275.20
If you take a class and have three marking periods in the class and in the first period your average grade was a 85.56 the second marking period your average was a 60.57 and then for the final marking period your average was a 63.63 what will be your overall average?
The angles shown below are supplementary:
what is the value of x
Answer:
[tex]x=12[/tex]
Step-by-step explanation:
By definition, supplementary angles add up to 180 degrees. Therefore, we can set up the follow equation to solve for [tex]x[/tex]:
[tex]10x+60=180,\\10x=120,\\x=\boxed{12}[/tex]
Answer:
x=12
Step-by-step explanation:
Supplementary angles add up to 180 degrees.
10x+60=180
Subtract 60 from both sides:
10x=120
Divide 10 to both sides:
x=12
2
Draw all the lines of symmetry on a diagram of a regular:
a
hexagon
b
heptagon
с
Octagon
Answer:
hi ahmm.i want to say that it is to draw I thought it is a question but it is actually to draw so u should draw this all shapes
how can i solve the following
4(5x-2) = 2(9x + 3
An orthocenter is the intersection of three.....?
Answer:
i don't get it
Step-by-step explanation:
Answer: An orthocenter is the intersection of three: Altitudes in a triangle.
Step-by-step explanation:
Altitude--
An altitude is a line segment that originates from a vertex and is perpendicular to the line segment opposite to that vertex.
Orthocenter--
An orthocenter of a triangle is a point where the three altitudes of a triangle meet or intersect.In a right angled triangle the orthocenter is the vertex of the triangle where the right angle is formed.
Please solve for angle C
Answer:
29
Step-by-step explanation:
tan c = opposite / adjacent
c = tan -1 (25/45) = 29
Answer:
Step-by-step explanation:
tan C = opp/adj
sin C = 25/45
sin C = 0.5556
C = sin^-1 0.5556
= 33.75
PLEASE HELP THIS IS DUE NOW
will mark brainliest!
10 points
Find the
surface area of the
prism.
Answer:
D. 972 ft^2
Step-by-step explanation:
SA = 2B + PH
where SA = total surface area of the prism,
B = area of a base
P = perimeter of the base
H = height of the prism
SA = 2 * bh/2 + (15 ft + 12 ft + 9 ft)(24 ft)
SA = (9 ft)(12 ft) + (15 ft + 12 ft + 9 ft)(24 ft)
SA = 972 ft^2
Is the ordered pair (5, 24) a solution of y = 4x + 4? *
Answer:
yes
Step-by-step explanation:
y = 4x + 4
24 = 4(5) + 4
24 = 20 + 4
24 = 24
expand 3e(e+4)
Hhhhhhh
Answer:
[tex]3e^{2} + 12e[/tex]
Step-by-step explanation:
[tex]3ee+3e4[/tex]
[tex]3ee+3 * 4e[/tex]
[tex]3e^{2} + 12e\\[/tex]
[tex]3 \: {e}^{2} + 12 \: e[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]3 \: e \: ( \: e + 4 \: ) \\ \\ = 3 \: e \times \: e + 3 \: e \times 4 \\ \\ = 3 \: {e}^{2} + 12 \: e[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique }}{\orange{♡}}}}}[/tex]
Will mark Brainlest Help pls
g(-1) = -1, g(2) + g(1) = 7
Step-by-step explanation:
Given: g(x) = x³ + x² - x - 2
g(-1) ==> x = -1
g(-1) = (-1)³ + (-1)² - (-1) - 2
g(-1) = -1 + 1 + 1 - 2
g(-1) = -1
g(2) ==> x = 2
g(2) = (2)³ + (2)² - (2) - 2
g(2) = 8 + 4 - 2 - 2
g(2) = 8
g(1) ==> x = 1
g(1) = (1)³ + (1)² - (1) - 2
g(1) = 1 + 1 - 1 - 2
g(1) = -1
g(2) + g(1) = 8 + (-1) = 7
what is 300+45-9x2+22-1+2
Answer:
350
Step-by-step explanation:
Use PEMDAS.
[tex]300+45-9*2+22-1+2[/tex]
300+45-18+22-1+2
345-18+22-1+2
327+22-1+2
349-1+2
348+2
350
Four times the sum of 5 and some number is 4. What is the number
Answer:
n = -4
Step-by-step explanation:
1. the sum of 5 and some number translates to 5 + x.
2. 5 + x is getting multiplied by 4, so the equation will then become 4(5 + n).
3. This entire equation is equal to 4, which we can see where the problem says "is four". In other words, four times the sum of 5 + n is equal to 4. 4(5 + n) = 4
4. Now you can solve the equation. When solved, the answer is n = -4
in induction, you look for a pattern and then form an educated guess or?
Answer:
look for a pattern then take an estimate or 'educated guess'
Step-by-step explanation:
Answer:
The answer is conjugation
Hope this helps!
which term in the quotient of this expression contains an error?
Answer:
The + 78 :- it should be + 60.
Step-by-step explanation:
Long division:-
x - 3 )4x^4 - 6x^3 + 0x^2 + 6x + 3 ( 4x^3 + 6x^2 + 18x + 60 <--- Quotient.
4x^4 - 12x^3
6x^3 + 0x^2
6x^2 - 18x^2
18x^2 + 6x
18x^2 - 54x
60x + 3
60x - 180
183
The school newspaper surveyed 100 commuter students and asked three questions. First, students were asked how many courses they were currently enrolled in. Second, the commuter students were asked to estimate how long it took them to drive to campus. And third, they were asked their heights. Identify the type of random variable being measured by each.
Answer:
The number of courses they were currently enrolled in is a discrete random variable.
The time it took them to drive to campus is a continuous random variable.
Their heights is a continuous random variable.
Step-by-step explanation:
Random variables:
Random variables can be classified as continuous or discrete.
Discrete variables are countable numbers(0,1,2,...), while continuous variables can assume decimal values.
First, students were asked how many courses they were currently enrolled in.
Can be 0,1,2,... that is, has to be a countable number, so the number of courses they were currently enrolled in is a discrete random variable.
Second, the commuter students were asked to estimate how long it took them to drive to campus.
Can be for example, 10.5 minutes, half an hour, that is, can be represented by decimal values, and thus the time it took them to drive to campus is a continuous random variable.
And third, they were asked their heights.
Can also be decimal numbers, so continuous.
NO LINKS OR ELSE YOU'LL BE REPORTED!Only answer if you're very good at Math.
Which expression is equivalent to (1/√y)^-1/5?
A: 1/10√y
B: 1/√y^5
C: 10√y
D: 5√y^2
Answer:
C
Step-by-step explanation:
(1/√y)^-1/5
= (1/sqrt(y))^(-1/5)
=sqrt(y)^(1/5)
=y^(1/10)
= (tenth root of y)
=C
:)
PLEASE HELP!!!! WHOEVER GETS IT RIGHT GETS BRAINLIEST !!!!
FIND THE VALUE OF X
Answer:16 degree is the answer.
Since r and m are parallel:
10x-3=7x+45
3x=48
x=16
Can someone answer these questions for me? (Questions are in the picture)
what is congruent angle?
Answer:
Congruent angles have the same angle measure. For example, a regular pentagon has five sides and five angles, and each angle is 108 degrees. Regardless of the size or scale of a regular polygon, the angles will always be congruent.
Answer:
Congruent angles have the same angle measure. For example, a regular pentagon has five sides and five angles, and each angle is 180 degrees. Regardless of the size or scale of a regular polygon, the angle will always be congruent..
who is the president of Uganda
Answer: Yoweri Museveni
☆彡HannaWhat is the value of log √10?
Answer:
0.5
Step-by-step explanation:
Answer:
.5
Step-by-step explanation:
calculator
[tex]f(x)=\sqrt(x) \\ g(x)=\sqrt((4)/(5)x)[/tex]
Identify a horizontal or vertical stretch or compression of the function f(x)=\sqrt(x) by observing the equation of the function g(x)=\sqrt((4)/(5)x)
A. A vertical compression by a factor of 5/4
B. A horizontal compression by a factor of 5/4
C. A horizontal stretch by a factor of 5/4
D. A vertical stretch by a factor of 5/4
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Answer:
C. A horizontal stretch by a factor of 5/4
Step-by-step explanation:
Replacing x in f(x) by kx introduces a horizontal compression by a factor of k, or a stretch by a factor of 1/k. Here, we have k=4/5, so the curve is stretched horizontally by a factor of 5/4.
The age distribution of a sample of part-time employees at Lloyd's Fast Food Emporium is: Ages Number 18 up to 23 6 23 up to 28 13 28 up to 33 33 33 up to 38 9 38 up to 43 4 What type of chart should be drawn to present this data
Answer:
Option B
Step-by-step explanation:
Options for the given question -
A. A histogram
B. A cumulative frequency table
C. A pie chart
D. A frequency polygon
Solution
Option B is correct
The data represents the frequency value for a given interval and hence it represents the cumulative form of frequency distribution.
To evaluate whether or not the intake of a vitamin or mineral is adequate, comparisons are made between the intake distribution and the requirement distribution. Here is some information about the distribution of vitamin C intake, in milligrams per day, for women aged 19 to 30 years:
Percentile (mg/d)
Mean 1st 5th 19th 25th 50th 75th 90th 95th 99th
84.2 31 43 47 60 79 103 126 141 180
Use the 5th, the 50th, and the 95th percentiles of this distribution to estimate the mean (±0.01) and standard deviation (±0.01) of this distribution assuming that the distribution is Normal.
μ = _________
σ = _________
Answer:
[tex]Mean=79[/tex]
[tex]\sigma=30.3951.[/tex]
Step-by-step explanation:
From the question we are told that:
[tex]Age Bracket :19-20[/tex]
[tex]5th\ percentile = 42[/tex]
[tex]50th\ percentile = 79[/tex]
[tex]95th\ percentile = 142.[/tex]
Generally the mean Median and mode of the 50th percentile is are all equal
[tex]Mean=Median=Mode[/tex]
Therefore
[tex]Mean=79[/tex]
Generally for Normal distribution
[tex]5th\ percentile\ = mean - 1.645*\sigma[/tex]
[tex]95th\ percentile\ = mean + 1.645*\sigma[/tex]
Therefore
[tex](95th\ percentile\ - 5th\ percentile) = 2*(1.645*SD).[/tex]
[tex]\sigma=(95th\ percentile\ - 5th\ percentile)/3.29[/tex]
[tex]\sigma=\frac{142-42}{3.29}[/tex]
[tex]\sigma=30.3951.[/tex]
What is the true solution to In 20+ In 5= 2 In x?
x=5. A
X= 10 b
X=50 c
X= 100 d
ln(20) + ln(5) = 2 ln(x)
ln(20×5) = ln(x ²)
ln(100) = ln(x ²)
100 = x ²
x = 10
