Based on the current population and the rate of decrease, the population in five years will be 81,537 people.
What is the population in five years?This can be found by the formula:
= Current population x ( 1 - rate) ^ number of years
Solving gives:
= 100,000 x ( 1 - 4%)⁵
= 100,000 x 0.8153726976
= 81,537 people
In conclusion, option B is correct.
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Answer:
B
Step-by-step explanation:
Use the five-step strategy for solving word problems to find the number described.
When twice a number is decreased by five, the result is 43. What is the number?
B. Write a mathematical expression using the information from your table to answer the following questions:
1. What is the mean change in the forecasted high temperatures over the next 7 days? Remember, this can be found by averaging the values in the Difference column for the high temperatures. Show your work and steps. If your answer is not an integer, explain what two integers your answer is between.
2. What is the mean change in the forecasted low temperatures over the next 7 days? Remember, this can be found by averaging the values in the Difference column for the low temperatures. If your answer is not an integer, explain what two integers your answer is between.
Answer:
See below
Step-by-step explanation:
To find the mean, you take each data point, add them together, and divide it by the number of data points.
Problem 1
Mean of High Temperatures = (65+67+54+52+63+69+75)/7 = 445/7 = between 63 and 64
Problem 2
Mean of Low Temperatures = (61+55+37+29+34+42+54)/7 = 312/7 = between 44 and 45
A family wants to rent a car to go on vacation . company a charges 65.50 and 16¢ per mile . Company b charges 50.50 and 9¢ per mile . how much more company a charge for x miles than company b
Finding Congruent Figures Two of these three triangles are congruent. Choose the triangle that is not congruent to the other two. A triangle has 1 side length of 2.8 centimeters and 2 side lengths of 2.6 centimeters. The angles opposite to sides with length of 2.6 centimeters are 58 degrees. The other angle is 64 degrees. A triangle has side lengths of 2.1 centimeters, 2.8 centimeters, and 2.6 centimeters. The angle opposite to side with length 2.1 centimeters is 45 degrees, opposite to side length of 2.6 centimeters is 62 degrees, and opposite to side length of 2.8 centimeters is 73 degrees. A triangle has side lengths of 2.1 centimeters, 2.8 centimeters, and 2.6 centimeters. The angle opposite to side with length 2.1 centimeters is 45 degrees, opposite to side length of 2.6 centimeters is 62 degrees, and opposite to side length of 2.8 centimeters is 73 degrees.
The lengths of the sides and the measure of the interior angles of the
three triangles determines which of the triangles are congruent.
Correct response;
The first triangle is not congruent to the other two trianglesWhich method is used to determine the triangles that are congruent?According to Side-Side-Side postulate, two triangles are congruent if
the lengths of the three sides of one triangle are equal to the lengths of
the three sides of the other triangle
The lengths of the sides of the second triangle are;
2.1 centimeters, 2.8 centimeters, and 2.6 centimetersThe side length of the third triangle are;
2.1 centimeters, 2.8 centimeters, and 2.6 centimetersTherefore; the second and the third triangles are congruent.
However, the side lengths of the first triangle are;
2.8 centimeters, 2.6 centimeters, and 2.6 centimetersGiven that the two of the sides of the first triangle are equal to 2.6
centimeters, while non of the sides of the second and third triangle are
equal, we have;
The first triangle is not congruent to the second and third triangles.Learn more about the rules of congruency here;
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I am sorry, I am late but for future people here is the answer. :))
Write the least possible 3-digit number using only 2 different numbers.
Answer:
100
Step-by-step explanation:
We assume that you are concerned with integers, and that you only count a number as "3-digit" if it does not have a zero in the hundreds place.
In order for the number to have a minimum value, the minimum available digit must be used in each number place, starting from the most-significant place--the hundreds place.
The least (non-zero digit) available for the hundreds place is 1.
The least digit available for the tens place is 0.
The least digit available for the ones place is also 0, since it is allowed to duplicate a digit already used.
The least possible 3-digit number using 2 different digits is 100.
La suma de 3 menos que 5 veces un número y el número aumentado en 9 da 24,cuál es el número?
Answer:
you added on to that and you will get the answer
Which is greater 3yd or 30ft
Answer: 30 feet is greater
Step-by-step explanation:
3 yards is 9 feet (1 yard is 3 feet). 9 < 30. 30 feet is more than 9 feet, and 9 feet is equal to 3 yards so 30 feet is greater than 3 yards
3•f(-4)-3•g(-2) = ???
evaluate function expression
Answer:
3•f(-4)-3•g(-2)
= -12f+6g
factorized form by taking common in both
= -6(2f-g) or 6(-2f+g)
( first one is minus 12f because plus into minus = minus)
(second one is plus 6g becuase minus into minus= plus)
hope it helps you
Dante's parents gave him a fish tank containing 20 goldfish. Each month, Dante gives away 2 goldfish from his fish tank to
his friends
Which inequality can be used to find m, the number of months after receiving his fish tank, when Dante will have less than 10 goldfish
in his fish tank?
The inequality that can be used to find m, the number of months after receiving his fish tank, when Dante will have less than 10 goldfish in his fish tank is 20 - 2m < 10
Since Dante has 20 goldfish and gives out 2 goldfish every month,
After one month, he has 20 - 2 = 20 - 1(2) gold fish left.
After 2 months, he has 20 - 2 - 2 = 20 - 4 = 20 - 2(2) goldfish left.
After 3 months, he has 20 - 2 - 2 - 2 = 20 - 6 = 20 - 3(2) goldfish left.
Number of goldfish after m monthsSo, after m months, he has 20 - 2m goldfish left.
The inequality to find mFor the number of goldfish to be less than 10, we have the inequality
20 - 2m < 10
So, the inequality that can be used to find m, the number of months after receiving his fish tank, when Dante will have less than 10 goldfish in his fish tank is 20 - 2m < 10
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Find x and h (And show work)
Answer:
base=×
hypotenuse=6
prependicular=90
we know that
90÷6
×=15
PLEASE HELP 100 POINTS AND BRAINLIEST
Answer:
A
Step-by-step explanation:
Answer:
(1-1)(1-2)(1-3)(2-1)(2-2)(3-1)
Step-by-step explanation:
A number is greater than 8. The same number is less than 10. The inequalities x greater-than 8 and x less-than 10 represent the situation. Which best explains the number of possible solutions to the inequality? There is one solution because 9 is the only number between 8 and 10. There are a three solutions because 8, 9, and 10 are possible solutions. There are a few solutions because there are some fractions and decimals between 8 and 10. There are infinite solutions because there is always another number between any two numbers.
Answer:
Our inequality is 8 < x < 10, where x is our number.
Since the problem doesn't specify whether the number x is an integer or not, we can assume that x can be either a decimal or a whole number. That means that we want any decimal number or whole number between 8 and 10. The only whole number is 9, but there are infinitely many decimal solutions. For example, we could have 8.001, 8.0001, 8.00001, etc.
Thus the answer is D.
Hope this helps!
Step-by-step explanation:
There are two concentric spheres of radii 3 units and 6 units. What is the volume, in cubic units, of the region within the larger sphere and not within the smaller sphere
Check the picture below.
we can simply get the volume of the larger sphere, then the volume of the smaller sphere and subtract it from that of the larger sphere and what's leftover is the region between both.
[tex]\stackrel{\textit{\large volumes}}{\stackrel{\textit{sphere with r=6}}{\cfrac{4\pi (6)^3}{3}}~~ -~~\stackrel{\textit{sphere with r = 3}}{\cfrac{4\pi (3)^3}{3}}}\implies 288\pi -36\pi \implies 252\pi \approx \stackrel{cubic~units}{791.68}[/tex]
The region within the larger sphere and not within the smaller sphere is 789.02 cubic units.
What is the volume of a sphere?The volume of sphere is the measure of space that can be occupied by a sphere. If the radius of the sphere formed is r and the volume of the sphere is V. Then, the volume of the sphere is given by: Volume of Sphere, V = (4/3)πr³
Given that, there are two concentric spheres of radii 3 units and 6 units.
Now,
Volume of sphere with radius 3 units is
V₁ = 4/3×3.14×3³
= 4/3×3.14×27
= 4×3.14×9
= 113.04 cubic units
Volume of sphere with radius 6 units is
V₂ = 4/3×3.14×6³
= 4/3×3.14×216
= 902.06 cubic units
Now, difference is 902.06-113.04
= 789.02 cubic units
Therefore, the region within the larger sphere and not within the smaller sphere is 789.02 cubic units.
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Item 3
What is the value of m in this proportion?
1235=13m
m=
How do i write the expression in expanded form, and then evaluate? (2/3 to the power of 2)
Answer:
4/9
Step-by-step explanation:
See attachment for step-by-step
Determine the GCF of 12y, 15y?, and 6y
Answer:
3y
Step-by-step explanation:
All three expressions have the factor 3, and all three have the factor y. Thus, the GCF is 3y.
Heyy I need help thank you
Step-by-step explanation:
[tex] \sin(22) = \frac{x}{14} \\ x = \sin(22) \times 14 = 5.2[/tex]
when y varies directly as the square root of x, the variation equation is y=kx^2
I) y=50 and x=10 find k
ii) calculate y when x=30
[tex]\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{ \begin{array}{llll} \textit{\tiny "y" varies directly}\\ \textit{\tiny as the square of "x"} \end{array}}{y = kx^2}\qquad \qquad \textit{we also know that} \begin{cases} y=50\\ x=10 \end{cases}\implies 50=k(10)^2 \\\\\\ \cfrac{50}{10^2}=k\implies \cfrac{1}{2}=k~\hfill \boxed{y=\cfrac{1}{2}x^2} \\\\\\ \textit{when x = 30, what is "y"?}\qquad y = \cfrac{1}{2}(30)^2\implies y = 450[/tex]
please help i dont understand
Answer:
I think number one is 19
Step-by-step explanation:
The total value of nickels, dimes, and quarters, in cents, in a bag is described by the expression below.
5n + 10d + 25q
What do the coefficients in the expression represent?
Answer:
The coefficients represent the number of coins.
Step-by-step explanation:
The coefficients (letters) stand for the type of coin it is and is the quantity of them in the equation. The number behind the coefficient represents the number of cents the coin is worth.
Mandvil has one standard quarter and one special quarter with a Head on both sides. He selects one of these two coins at random, and without looking at it first, he flips the coin three times. If he flips a Head three straight times, what is the probability that he selected the special quarter?
The probability that he selected the special quarter is 87.5%.
ProbabilityGiven that Mandvil has one standard quarter and one special quarter with a Head on both sides, and he selects one of these two coins at random, and without looking at it first, he flips the coin three times, to determine, if he flips a Head three straight times, what is the probability that he selected the special quarter, the following calculation must be made:
1 - (standard quarter) = X1 - (0.50^3) = X1 - 0.125 = X0.875 = X0.875 x 100 = 87.5Therefore, the probability that he selected the special quarter is 87.5%.
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An airplane propeller rotates 1000 times per minute. Find the number of degrees that a point on the edge of the propeller will rotate in 1 second.
The answer is 6000 degrees per second.
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Given here: The propeller rotate4s 1000 times per minute. That means that the propeller rotates 1000 / 60 times per second.
That's 16 and 2/3 revolutions in 1 second.
16 * 360 = 5760 degrees.
2/3 * 360 = 240 degrees.
Total number of degrees is equal to 5760 + 240 = 6000 degrees per second.
Hence, The propeller rotates 6000 degrees per second.
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The table shows a proportional relationship between the number of stars Roberto collects in a game and his total points a row of values is missing which number of stars and total points could be used as the missing values in the chart
Answer:
A, C, D
Step-by-step explanation:
PLEASE ANSWER HURRY WHICH ONE IS IT?
Answer:
x = cd-by/ a
Step-by-step explanation:
ax + by / c = d
ax + by = cd
ax = cd-by
x = cd-by/a
Answer:
B
Step-by-step explanation:
You can multiply both sides by c to remove the fraction part.
d(c) = ax + by/c(c)
dc = ax + by
Then subtract "by" from both sides to isolate x.
dc - by = ax - by + by
dc - by = ax
Then divide both sides by a to completely isolate the variable x.
(dc - by)/a = ax/a
(dc - by)/a = x
B
Write an equation for the line. Express each equation in standard form Ax + By = C, where A ≥ 0.
The line has slope 3 3 and passes through the point (-2,-5)
Answer:
y=8/5x-11
Step-by-step explanation:
find slope please help mee!!!
please help will give brainliest
It's a
All steps are correct.
What is 1+2? I need to know!!
Answer: It equals 12 Just kidding it equals 3
Find the scale factor using the distance formula.
please help !! im so confused lol
Answer:
(c) 1.61
Step-by-step explanation:
thats what i got
