Solution:
The increasing function is given as:
[tex]y = a(1+r)^t[/tex]
Where,
y is future value
a is initial value
r is growth rate
t is number of years
From given,
a = 5000
y = 9500
t = 1997 to 2012 = 15 years
r = ?
Substituting the values we get,
[tex]9500 = 5000(1+r)^{15}\\\\(1+r)^{15} = 1.9\\\\Take\ \frac{1}{15}th\ power\ on\ both\ sides\\\\1+r = (1.9)^{\frac{1}{15}}\\\\1+r = 1.04367\\\\r = 1.04367 - 1\\\\r = 0.04367\\\\In\ percentage,\\\\r = 0.04367 \times 100 \%\\\\r = 4.367 \% \approx 4.37 \%[/tex]
Thus annual percent growth is 4.37 %
Can someone answer this
Question 23
Answer:
65
Step-by-step explanation:
James drove 6 miles south and then 3 miles west.how far is he from his starting point
Answer:
9 miles
Step-by-step explanation:
A 6+3 is nine
Expand and simplify (5x+2)(2x-3)
Answer:
10x^2 - 11x - 6
Step-by-step explanation:
(5x+2)(2x-3)
= 10x^2 - 15x + 4x - 6
= 10x^2 - 11x - 6
Answer:
(5x+2)(2x-3)=5x(2x-3)+2(2x-3)=5x*2x-5x*3+2*2x-2*3=10x^2-15x+4x-6=
10x^2-11x-6
Step-by-step explanation:
How long does it take to travel 30km at 45km/h?
It will take 0.67 hours
Step-by-step explanation:
Step 1: Given distance = 30 km and speed = 45 km/hr. Find the time using the formula for speed.Time = Distance/Speed
= 30/45 = 0.67 hours
What times 2 =121 example 2x2=4
Answer:
60.5
Step-by-step explanation:
All you need to do is divide 121 and 2. When you do so you world get 60.5.
To check, 60.5 times 2 is 121.
Hope this helped!
Answer:
Do you mean 11*11=121
Step-by-step explanation:
11 multiplied by 11
Justin needs to make 80 illustrations for an art book. He has made 40% of the
illustrations. Make a bar model to show his progress. How many illustrations does
he still need to make? Explain.
Answer: the answer is
5000
Step-by-step explanation:
Answer:40%
Step-by-step explanation:
2 Points
Congruent angles must satisfy which of the following conditions?
A. The sum of their measures is 90°
B. They have the same angle measure.
C. They share a vertex and a side.
Answer:
B
Step-by-step explanation:
Congruent angles are angles that have the same measure. This is the primary condition that they satisfy. The sum of their measures being 90° or sharing a vertex and a side don’t necessarily define congruent angles.
Explanation:In the field of Mathematics, particularly in geometry, congruent angles are those which satisfy the condition of having the same angle measure. This implies that their measures, when compared, are equal. The other options you mentioned, like the sum of their measures being 90° or sharing a vertex and a side, don’t necessarily apply to all congruent angles. For instance, for two angles to sum to 90°, they would be complementary, not necessarily congruent.
Learn more about Congruent Angles here:https://brainly.com/question/33500921
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Please help are these answers correct.
Answer:
answer sheet please give me brainly
Step-by-step explanation:
1. the answer is -1 • (7r + 6)
2. that answer is right
3. that answer is right
4. the answer is 3h - 16
5. the answer is 8 • (6 - 7s)
6. that answer is right
7. the answer is -9 • (6r + 5)
8. the answer is -14r - 43
9. the answer is 49z - 18
10. the answer is 14 + b
Answer:
tttttt
Step-by-step explanation:
ttytddfgfdgfgfdg
Two movie tickets and 3 snacks are $24. Three movies tickets and 4 snacks are $35. How much is a movie ticket and how much is a snack.
Answer:
Movie tickets are $9. Snacks are $2
Step-by-step explanation:
2m+3s=24
18+6=24
What is the closed linear form for this sequence given a1 = -15 and an + 1 = an - 8?
Answer:
[tex]a_n=-8n-7[/tex] is the closed linear form of the given sequence.Step-by-step explanation:
Given that [tex]a_1=-15[/tex] and [tex]a_{n+1}=a_n-8[/tex]
To find the closed linear form for this given sequence :So each of the successive term of the given sequence is decreases by 8
Therefore the common difference is -8
The given sequence is a arithmetic sequence.
The general form is [tex]a_n=a_1+(n-1)d[/tex]
Substitute [tex]a_1=-15[/tex] and d=-8 in [tex]a_n=a_1+(n-1)d[/tex] we get
[tex]a_n=-15+(n-1)(-8)[/tex]
[tex]=-15-8n+8[/tex]
[tex]a_n=-8n-7[/tex]
Therefore [tex]a_n=-8n-7[/tex] is the closed linear form of the given sequence.Answer:
c) an=-7+8n
Step-by-step explanation:
i got it wrong and it told me the right answer so ill make sure you guys don't get it wrong :3
Please help will give BRAINLIEST.
Triangle RST is similar to
triangle RVW.
What is the value of din millimeters?
A)
27 mm
B)
12 mm
C)
9 mm
D)
13 mm
Answer: B) 12
Step-by-step explanation: In order to solve this you have to know the scale factor between the two triangles. In order to do that you just need to take a similar side between the two triangles and divide them. For example:
10 / 15 = .6666
This is RW divided by RT
Now that you have the scale factor, you just need to multiply it by 18 to get WV.
18 x .666666 = 12
The value of d in millimeters is 12 mm and this can be determined by using the similar triangle property.
Given :
Triangle RST is similar to triangle RVW.The length of the segment RW = 10 mmThe length of the segment WT = 5 mmThe length of the segment TS = 18 mmThe following steps can be used in order to determine the value of d in millimeters:
Step 1 - The similar triangle property can be used in order to determine the value of d in millimeters.
Step 2 - Apply the similar triangle property on the triangle RST and triangle RVW.
[tex]\rm \dfrac{RW}{WV}=\dfrac{RT}{TS}[/tex]
Step 3 - Substitute the values of the known terms in the above expression.
[tex]\rm \dfrac{10}{d}=\dfrac{15}{18}[/tex]
Step 4 - Simplify the above expression.
[tex]\rm d = \dfrac{10}{15}\times 18[/tex]
d = 12 mm
For more information, refer to the link given below:
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Perform the indicated operation and write the result in the form a + bi.
4i(-i + 3) - 3(6 - 2i)
Answer:
- 14 + 18i
Step-by-step explanation:
Note that i² = ([tex]\sqrt{-1}[/tex] )² = - 1
Given
4i(- i + 3) - 3(6 - 21) ← distribute both parenthesis
= - 4i² + 12i - 18 + 6i
= - 4(- 1) - 18 + 18i
= 4 - 18 + 18i
= - 14 + 18i
The indicated operation of 4i(-i + 3) - 3(6 - 2i) in the form a + bi is -14 + 18i.
To perform the indicated operation and write the result in the form a + bi, we have to distribute and combine like terms carefully.
Starting with 4i(-i + 3), we distribute 4i:
4i * (-i) = -4i^2 = 4 (since i^2 = -1)
4i * 3 = 12i
This gives us 4 + 12i.
Now addressing the second part, -3(6 - 2i), we also distribute:
-3 * 6 = -18
-3 * (-2i) = 6i
This results in -18 + 6i.
Combining both parts (4 + 12i and -18 + 6i):
(4 + 12i) + (-18 + 6i) = (4 - 18) + (12i + 6i)
= -14 + 18i
peter packed 32 pints of pickles in a minute.Find peters pickle packing rate in ounces per minute
Answer:
2 per minute
Step-by-step explanation:
Peter's pickle packing rate in ounces per minute is found by converting pints to ounces. By multiplying the 32 pints he packs in a minute by 16 ounces per pint, it is determined that Peter packs 512 ounces of pickles per minute.
Peter's pickle packing rate needs to be converted from pints to ounces to find how much he packs in ounces per minute. Since there are 16 ounces in a pint, we can find Peter's rate in ounces by multiplying the number of pints by 16.
Here are the calculation steps:
Identify the number of pints Peter packs in a minute, which is 32 pints.
Multiply the number of pints by the number of ounces in a pint. Since there are 16 ounces in a pint, the calculation is 32 pints * 16 ounces/pint.
Calculate the total to find Peter packs 512 ounces of pickles in a minute.
Therefore, Peter packs 512 ounces of pickles per minute.
1. In the diagram, AA'B'C' is an image of AABC. Which rule describes this translation?
O(x, y) → (x-5,y-3)
O(x, y) + (x + 5, y + 3)
O(x,y) → (x-3, y-5)
O(x, y) (x+3, y + 5)
Option B: [tex](x, y) \rightarrow(x+5, y+3)[/tex] is the rule for the translation
Explanation:
The coordinates of A,B,C are [tex](-3,2)[/tex] ,[tex](-3,-3)[/tex] , [tex](0,-2)[/tex]
The coordinates of A',B',C' are [tex](2,5)[/tex] , [tex](2,0)[/tex] , [tex](5,1)[/tex]
We need to determine the rule for the translation
The rule for the translation is given by
[tex]P(x, y) \rightarrow P^{\prime}(x+a, y+b)[/tex]
Let us determine the translation from A to A'
[tex]A(-3,2)\rightarrow A^{\prime}(-3+a, 2+b)\rightarrow A'(2,5)[/tex]
Thus, we have,
[tex]\begin{aligned}-3+a &=2 \\a &=5\end{aligned}[/tex] and [tex]\begin{array}{r}2+b=5 \\b=3\end{array}[/tex]
Thus, the rule is given by
[tex](x, y) \rightarrow(x+5, y+3)[/tex]
Therefore, Option B is the correct answer.
Answer:
its b
Step-by-step explanation:
hdhbdbehebebehrbrb
what is product of the complex numbers 3 - 4i and -6 + i, where i =
Option C:
The product of 3 - 4i and -6 + i is -14 + 27i.
Solution:
Given complex numbers are 3 - 4i and -6 + i.
To find the product of these numbers.
Product of 3 - 4i and -6 + i
[tex]=(3 - 4i)(-6 + i)[/tex]
Multiply each term of first number with each term of second number.
[tex]=3 (-6 + i)-4i(-6+i)[/tex]
[tex]=3 (-6) + 3i -4i (-6)-4i^2[/tex]
Since the value of i² = -1
[tex]=-18+ 3i +24i-4(-1)[/tex]
[tex]=-18+27i+4[/tex]
[tex]=-14+27i[/tex]
The product of 3 - 4i and -6 + i is -14 + 27i.
Option C is the correct answer.
Here we just want to find the product of two complex numbers, we will see that the solution is -14 + 27i
Remember that the complex number i has the property:
i^2 = -1
Now we want to perform the multiplication between 3 - 4i and -6 + i
Then we have:
(3 - 4i)*(-6 + i) = -18 + 3i + (4i)*6 - (4i)*i = -18 + 27i + 4 = -14 + 27i
So the correct option is C.
If you want to learn more about complex numbers, you can read:
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Charles has a rectangular flower garden that is 5yd long and 12yd wide. One bag of fertilizer can comer 6 squares yard. How many bags will he need to buy to cover the entire garden?
10 bags of fertilizer
Describe and correct the error.
x + 4 > 13
Answer:
x=10
Step-by-step explanation:
13-4=9
For it to be bigger than 13, it has to be one more than 9 which is 10.
Is 2/5 grater than or less than or equal to 1/3
Answer: 2/5>1/3
Step-by-step explanation: To make this easier, convert both to fifteenths.
To do this for 2/5, divide 15 by 5 to get 3. Now multiply both 2 and 5 by 3. This should get you 6/15.
To convert 1/3, divide 15 by 3 to get 5. Now multiply both 1 and 3 by 5. This should get you 5/15.
6/15>5/15 so 2/5>1/3.
60 is 5 timesas great as k
Answer:
12
Step-by-step explanation:
60=12*5
x is y times as great as k means that x=k*y
The table below shows the times and task that must be done to host a party at your house.
Task
Prerequisites
Time
hours
0
0.5
None
0.3
None
25.
AB
Start
A. Create a guest list
B. Create a list of snack foods, party
favors, and decorations
C. Purchase/Male Invitations, snacks,
decorations, party favors.
D. Mail invitations at the post office
E. Wait for response to the RSVP on
the invitation
F. Clean the apartment
G. Decorate for the party.
H. Cook and set out snades
I Get Dressed and Ready
J. Host the Party.
K. Clean Up.
Finish
1.0
36.0
3.5
1.2
UA
GH
1.0
3.5
How long does it take to create the guest list?
O 0.5 hours
1 hour
0.3 hours
1.5 hours
Answer: A) 0.5 Hours
I got it correct!
Stiind ca triunghiurile sunt asemenea si c= 5 calculati lungimea laturilor indicate
a=?
b=?
c=?
Answer:
[tex] a = 8 \\ b = 10 \\ c = 5[/tex]
Step-by-step explanation:
[tex]{c}^{2} = {3}^{2} + {4}^{2} \\ c = 5 \\ \frac{3}{6} = \frac{4}{a} = \frac{5}{b} \\ a = 8 \: \: \: \: \: b = 10[/tex]
Answer:
[tex]a=8\\b=10\\c=5[/tex]
Step-by-step explanation:
In the given image, you can observe we have two right triangles.
Also, we know by given that those triangles are similar, which means their sides are proportional and their angles are congruent.
If the triangles are similar, we can define the following proportion between sides.
[tex]\frac{4}{a} =\frac{3}{6}\\ 24=3a\\a=\frac{24}{3}\\ a=8[/tex]
Now we use the Pythagorean's Theorem to find each hypothenuse.
[tex]c^{2} =4^{2} +3^{2}\\ c=\sqrt{16+9}=\sqrt{25} \\ c=5[/tex]
[tex]b^{2} =8^{2} +6^{2}\\ b=\sqrt{64+36}=\sqrt{100}\\ b=10[/tex]
Therefore, the missing sides are
[tex]a=8\\b=10\\c=5[/tex]
What is the Area of a triangle with the base of 4 cm and the height of 8 cm?
Step-by-step explanation:
[tex]area \: of \: triangle \\= \frac{1}{2} \times base \times height \\ = \frac{1}{2} \times 4 \times 8 \\ = 2 \times 8 \\ = 16 \: {cm}^{2} \\ [/tex]
Distributive property Use the distributive property to remove the parentheses .{y+10}12=
Answer:
12y + 120
Step-by-step explanation:
First of, what is the distributive property?
The distributive property is the property that helps distribute numbers under the parenthesis.
For example, lets use {x+1}4. You distribute the 4 towards the x and the one like this:
4(x) + 1(4)
4x + 4
Now, let's go back to your problem
Solution:
{y+10}12
12(y) +12(10)
= 12y + 120
Hope this helps! Make sure to give me the brainliest answer since it would be greatly appreciated! Thank You!
write a algebric expression that means six divided by two times a number
i need help
Answer:
number= n
6/2n
i think this is how you do it
Answer:
the correct answer is 6/2*x
what is the difference of the fractions below? 7x/5-x/5
Answer:
[tex]\frac{6x}{5}[/tex]
Step-by-step explanation:
Given
[tex]\frac{7x}{5}[/tex] - [tex]\frac{x}{5}[/tex]
Since both fractions have a common denominator, subtract the numerators leaving the denominator.
= [tex]\frac{7x-x}{5}[/tex]
= [tex]\frac{6x}{5}[/tex]
Answer: 6x/5
Step-by-step explanation:
Which describes how triangle FGH could be transformed to triangle F prime G prime H prime in two steps? On a coordinate plane, triangle F G H has points (negative 2, 1), (negative 3, 3), (0, 1). Triangle F prime G prime H prime has points (negative 8, negative 4), (negative 12, negative 12), (0, negative 4). Which identifies the transformation that occurred after the dilation? a dilation by a scale factor of 3 and then a reflection across the x-axis a dilation by a scale factor of 3 and then a 180 degrees rotation about the origin a dilation by a scale factor of 4 and then a reflection across the x-axis a dilation by a scale factor of 4 and then a 180 degrees rotation about the origin
Answer:
A dilation by a scale factor of 4 and then a reflection across the x-axisExplanation:
1. Vertices of triangle FGH:
F: (-2,1)G: (-3,3)H: (0,1)2. Vertices of triangle F'G'H':
F': (-8,-4)G': (-12,-12)H': (0, -4)3. Solution:
Look at the coordinates of the point H and H': to transform (0,1) to (0,-4) you can muliply each coordinate by 4 and then change the y-coordinate from 4 to -4. That is a dilation by a scale factor of 4 and a reflection across the x-axis. This is the proof:
Rule for a dilation by a scale factor of 4: (x,y) → 4(x,y)(0,1) → 4(0,1) = (0,4)
Rule for a reflection across the x-axis:{ (x,y) → (x, -y)(0,4) → (0,-4)
Verfiy the transformations of the other vertices with the same rule:
Dilation by a scale factor of 4: multiply each coordinate by 44(-2,1) → (-8,4)
4(-3,3) → (-12,12)
Relfection across the x-axis: keep the x-coordinate and negate the y-coordinate(-8,4) → (-8,-4) ⇒ F'
(-12,12) → (-12,-12) ⇒ G'
Therefore, the three points follow the rules for a dilation by a scale factor of 4 and then a reflection across the x-axis.
Answer:a dilation by a scale factor of 4 and then a reflection across the x-axis
Step-by-step explanation:
Nate worked for 28 hours last week. This is 40% of the total hours
he worked this month. How much did he work this month?
Answer:70
Step-by-step explanation:since 28b is 40% of 28,divide 100 by 48 because 100 is the whole and you need to find how to get the whole,100 divide by 48 is 2.083 then you multiply it to 28 to get 70.
Answer:
70
Step-by-step explanation:
hope its helpful....
HELP PLEASE!
Evaluate the expression when x= 4 and y = 9.
5xy + 9x
——
y
Answer:5×4×9/9 +(9(4))
=180/9 + (36)
= 20+36
=56
Thank You
Answer:
24
Step-by-step explanation:
The solution to the question above is solved thus:
[tex] \frac{5xy + 9x}{y} [/tex]
Given that x = 4 and y = 9, substitute the values in the question thus:
[tex] \frac{5(4)(9) + 9(4)}{9} [/tex]
[tex] = \frac{5 \times 4 \times 9 + 9 \times 4}{9} [/tex]
[tex] = \frac{180 + 36}{9} [/tex]
[tex] = \frac{216}{9} [/tex]
[tex] = 24[/tex]
One lap around the lake is 7/10 mile.
Dasha runs 9 laps around the lake.
Answer:
63/10 = 6 3/10 miles
Step-by-step explanation
Multiply 7 times 9 = 63Simplify 63/10 and get 6 3/10So, Dasha runs 6 3/10 milesThere are 63/10 or 6 3/10 or 6.3 miles Dasha runs 9 laps around the lake if one lap around the lake is 7/10 miles.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
One lap around the lake is 7/10 miles.
Let x be the number of miles in 9 laps
x = 9(7/10)
x = 63/10 miles
Or
x = 6.3 miles
Thus, there are 63/10 or 6 3/10 or 6.3 miles Dasha runs 9 laps around the lake if one lap around the lake is 7/10 miles.
Learn more about the fraction here:
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In Mr. Williams' 2nd hour class, 40% of the students scored a 85% or higher on a quiz. If 20 students scored a 85% or higher on the quiz, how many students are in Mr. Williams' 2nd hour class?
Answer:
50 students
Step-by-step explanation:
40% of total students = 20
"of" means multiply
[tex]40\% \times \ total = 20\\\frac{40}{100} \times \ total = 20\\\\0.40 \times \ total = 20\\total = \frac{20}{0.4}\\\\total = 50[/tex]