Answer:
Step-by-step explanation:
Using the formula for the growth of investment:
.....[1]
where,
A is the amount after t year
P is the Principal
r is the growth rate in decimal
As per the statement:
Scott invests $1000 at a bank that offers 6% compounded annually.
⇒P = $1000 and r = 6% = 0.06
substitute these in [1] we get;
⇒
Therefore, an equation to model the growth of the investment is,
Eight less than four times a number is less than 56. What are the possible values of that number?
Answer:
Let the number be x
when it is 8less than 4times the x the inequality equation we get is:
4x-8<56 (since it says it's less than 56)
4x<56+8
4x<64
x<64÷4
x<16
the possible values are all numbers less than 16
Number 11 instructions are to simplify
Answer:
a/(a-4)
Step-by-step explanation:
Simplifying generally means expressing the rational function over a common denominator. Factoring the second term can help us see what that common denominator should be.
___
[tex]\dfrac{3a}{a+4}-\dfrac{2a^2-16a}{a^2-16}=\dfrac{3a(a-4)}{(a-4)(a+4)}-\dfrac{2a(a-8)}{(a-4)(a+4)}\\\\=\dfrac{a(3(a-4)-2(a-8))}{(a-4)(a+4)}=\dfrac{a(3a-12-2a+16)}{(a-4)(a+4)}\\\\=\dfrac{a(a+4)}{(a-4)(a+4)}=\boxed{\dfrac{a}{a-4}}[/tex]
Mariko has a bedroom wall that is shaped like a trapezoid with a height of 8 ft, a top base of 10 ft, and a bottom base of 13 ft. in the middle of this wall is a circular window whose radius is 2 ft. what is the area of the wall without the window? use 3.14 for pi. enter your answer as a decimal in the box. ft²
Answer:
79.44 ft²
Step-by-step explanation:
Area (wall)
Area (trapezoid) - Area (circle)1/2 x (10 + 13) x 8 - 3.14 x 2²4 x 23 - 12.5692 - 12.5679.44 ft²A boat travels 345km in 24 hrs. How long will it take to complete 300 km
Answer:
20.87 hours
Step-by-step explanation:
Speed = distance/ time
We need to find the speed of the boat which is ...
s = 345/24
s = 14.374km/hour
so to find how long it takes to travel 300 km we....
time = distance/speed
t = 300/14.375
=20.869
= 20.87
One sixth of the cars that Valerie saw on her vacation were red, and one seventh of them were blue. What part of the cars that she saw was either red or blue?
Answer:
13/42.
Step-by-step explanation:
That would be the sum of the 2 fractions:
1/6 + 1/7
= 7/42 + 6/42
= 13/42.
HELP MEEEE PLEASEEE, SOMEONE...
Answer:
1/7 chance of happening
(Hi!, I hope you found this helpful. Please tell me if you disagree with my answer. Have a great day:)
10)Find the mean of the following data?
0 1 2 3 4 5 6 7
Answer:
3.5
Step-by-step explanation:
The mean, or average, is calculated by adding up the scores and dividing the total by the number of scores
answer this correctly for brainiest
12x−3<−138
Answer:
x<-11.25
Step-by-step explanation:
you treat it like its 12x-3=-138, your goal is to isolate the x. first you subtract the 3 from both sides (12x<-135) and then divide both sides by 12 giving you 11.25 on one side and x on the other.
Answer:
x < -45/4 or it can be written as ( -infinity, -45/4 )
Step-by-step explanation:
12x - 3 < -138
12x < -135
x < -45/4
or x < -11.25
I AM GIVING AWAY BRAINLIEST AND POINTS TO WHOEVER ANSWERED! PLEASE HELP!
The lengths of the diagonals of a rhombus are 2in. and 5in. Find the measures of the angles of the rhombus to the nearest degree.
Draw a rhombus with the diagonals.
4 right triangles are formed.
The intersection of the diagonals of a rhombus form 90 degree (right) angles (property of a rhombus).
The diagonals of a rhombus bisect each other. This means that they cut each other in half.
So, each of the right triangles have one side = 1, one side = 2.5 and the hypotenuse = unknown (sides of the
rhombus).
Triangle 1. ABC
side a = 2.5, side b = 1
tan A = a/b = 2.5/1 = 2.5
tan A = 2.5
tan 68.2 deg = 2.5
Since, angle C = 90 and angle A = 68.2
angle B = 21.8 deg. (180 - (90 + 68.2))
Since the diagonals bisect angles in each corner of a rhombus (property of a rhombus), therefore, one corner angle is 68.2 + 68.2 = 136.4 deg. and the same side other corner angle is 21.8 + 21.8 = 43.6 deg.
Adjacent sides (ones next to each other) of a rhombus are supplementary. This means that their measures add up to 180 degrees.
Therefore, the opposite corners are
180 - 136.4 = 43.6 and
180 - 43.6 = 136.4.
So, the four angles are,
136.4, 43.6, 136.4, and 43.6----------------------------------------------------------------------------------------------------------"The beautiful thing about learning is that no one can take it away from you"
B.B.King
Thanks!
Have a great day!
Mark me brainliest too!
~ms115~
Now that you know how to identify and utilize these formats, consider the following scenario: You have been contacted by a client whose wedding you have photographed. They want to create an online photo album where they will share their photos with their friends and family. They ask you to send them the photo files so that they can do this. In which type of format would you save the photographs, and which other considerations would be necessary to take?
Write an answer in three to five sentences that explains how you would fulfill this client request and the format you would choose to fill that request. Feel free to provide links to images that support your idea.
For the request of the client who wants his wedding photos to create an online album for his family and friends, the most suitable format would be JPG.
What is the format of a file?When we work with digital files in technological devices we can find different formats for our files, these formats include images, videos, audio, texts, among others.
Formats exist to differentiate files and specify which programs can open and modify these files. In the case of images, files are generally created in JPG, PNG or other formats.
Therefore, the most appropriate file to send these photos to the client would be JPG because they are not so heavy and have a good definition. In addition, what we must do is create a folder on a cloud storage page and share it with the client so that they have unlimited access to the photos.
Learn more about formats in: https://brainly.com/question/11523374
i need help with this i will give you 100 points
Answer:
10
Step-by-step explanation:
First we figure out the area of the triangle!
8 x 6 = 48
48/2 = 24
Now we multiply to figure out the area of the rectangle :)
24 x 5 = 120
Now we divide 120 by 12 to figure out the width!!
120/12 = 10
Have an amazing day!!
Please rate and mark brainliest!!
Answer:
10
Step-by-step explanation:
area of triangle = 1/2 x 8 x 6 = 24
area of rectangle = 5 x 24= 120
area of rectangle = length x width
120 = 12 x w
w = 10
Alg I Sem 2 Final Comp South Panola MS 2021-2022
Hines, Tre'Darious
10 of 65
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Use the information given to answer the question.
A producer tracks the number of viewers per week for two television shows. The table shows functions
f(w) and g(w) representing the approximate number of viewers, in millions, w weeks after the tracking
begins.
Television Show 1
Television Show 2
f(x) = 14.7(0.94)
g(w) = 15.2(1.03)
Part A
For Television Show 1, which statement is true?
The number of viewers for television show 1 and show 2 is given as f = 14.7(0.94)ˣ and g = 15.2(1.03)ˣ
What is an exponential function?An exponential function is in the form:
y = abˣ
Where a is the initial value of y and b is the multiplication factor.
Let f and g representing the approximate number of viewers, in millions, x weeks after the tracking begins.
The number of viewers for television show 1 and show 2 is given as f = 14.7(0.94)ˣ and g = 15.2(1.03)ˣ
Find out more on exponential function at: https://brainly.com/question/12940982
(5.1)*x=(0.51)*y=1000,find the value of 1/x-1/y
Answer: 0.00459
Step-by-step explanation:
Lesson 4.03
Madame Dumas has a rather extensive art collection and the overall value of her collection has been
increasing each year. Three years ago, her collection was worth $250,000. Two years ago, the value of the
collection was $525,000 and last year, the collection was valued at $1,102,500.
Assume that the rate at which Madame Dumas's art collection's value increase remains the same as it has
been for the last three years. The value of the art collection can be represented by a geochetric sequence.
The value of the collection three years ago is considered the first term in the sequence.
A) Write an explicit rule which can be used to determine the value of her art collection n years after that.
B) Use this rule to determine the value of her collection 9 years after she started tracking its worth rounded
to the nearest dollar
Using a geometric sequence, it is found that:
a) The explicit formula is: [tex]a_n = 250000(2.1)^{n-1}[/tex].
b) The value of her collection 9 years after she started tracking is of $94,557,148.
What is a geometric sequence?A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
Item a:
Three years ago, her collection was worth $250,000, hence the first term is [tex]a_1 = 250000[/tex].
In two years, the collection was valued at $1,102,500, hence the common ratio is:
[tex]q^2 = \frac{1,102,500}{250,000}[/tex]
[tex]q^2 = 4.41[/tex]
[tex]q = \sqrt{4.41} = 2.1[/tex].
Hence, the explicit formula is:
[tex]a_n = 250000(2.1)^{n-1}[/tex]
Item b:
[tex]a_9 = 250000(2.1)^{9-1} = 94557148[/tex]
The value of her collection 9 years after she started tracking is of $94,557,148.
More can be learned about geometric sequences at https://brainly.com/question/11847927
HELP PLS I'LL GIVE BRAINLEIST
Area of the triangle
1/2BH1/2(10+50)(20)10(60)600ft²Area of rectangle:-
50(20)1000ft²Area of semicircle
π(20/2)²/2π(10²)/2100πft²/2314ft²/2157ft²Total:-
157+1000+600=1757ft²Answer:
1757 ft²
Step-by-step explanation:
Formulae
Area of a rectangle = width × length
Area of a triangle = 1/2 × base × height
Area of a semicircle = 1/2 πr²
To find the shaded area:
Add the area of the rectangle, the area of the triangle, and the area of the semicircle.
Area of the rectangle:
= 20 x 50
= 1000 ft²
Area of the triangle:
= 1/2 x (10 + 50) x 20
= 1/2 x 60 x 20
= 30 x 20
= 600 ft²
Area of the semicircle:
= 1/2 π(20 ÷ 2)²
= 1/2 · 3.14 · 10²
= 1/2 · 3.14 · 100
= 157 ft²
Shaded area:
= area of rectangle + area of triangle + area of semicircle
= 1000 + 600 + 157
= 1757 ft²
What is x? What is written in pencil is what my teacher gave me.
How fast is a car traveling if it travels 90 miles in 2 hours? At that rate, how far will it travel in 3 hours?
Answer:
135 miles in 3 hours, or 45 miles an hour
Step-by-step explanation:
well, if it travels 90 miles in 2 hours, than how many does it do in one?
90m/2h=45 miles in ONE hour.
Given that info, we can solve for 3 hours.
If ONE hour is 45, then THREE hours is just 45*3=135
135 miles in 3 hours, or 45 miles an hour
Answer:
90 miles in 2 hours
45 miles per hour
135 miles in 3 hours
Step-by-step explanation:
Bro come on simple maths
Can someone help me with B and D, i’ll give branliest! :)
The relationship between the 3 sides in a right triangle
Answer:
In a right triangle, the hypotenuse is the longest side, an "opposite" side is the one across from a given angle, and an "adjacent" side is next to a given angle. We use special words to describe the sides of right triangles. The hypotenuse of a right triangle is always the side opposite the right angle.
Step-by-step explanation:
…
A consumer charges a $2,530.16 purchase on a credit card. the card has a daily interest rate of 0.042%. if the balance is paid off at the end of 30 days, how much interest will the consumer pay? a. $0.32 b. $3.19 c. $31.88 d. $318.78 please select the best answer from the choices provided a b c d
The consumer will pay $31.91 as an interest.
Initial balance = $2,530.16
Daily interest rate = 0.042%
What is simple interest?Simple interest is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments
So, balance at the end of the first day = 2530*(1.00042)¹
balance at the end of the second day = 2530*(1.00042)²
Similarly, balance at the end of the 30th day = 2530*(1.00042)³⁰
Balance at the end of the 30th day = $2562.07291
So, interest levied = $2562.07291 - $2,530.16
Interest levied = $31.91
Therefore, the consumer will pay $31.91 as an interest.
To get more about simple interests visit:
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Two triangles are similar. The sides of the first triangle are 8, 9, and 12. The smallest side
of the second triangle is 10. Find the other two side lengths.
Answer:
10,11.25,15
Step-by-step explanation:
we use linear scale factor you had mentioned that the triangles are similar so the smallest side in the first triangle is 8 and in tje other triangle it is 10
those two sides are equal which means 8 is equal to ten so if 8 is equal to 10 what about 9.if you cross multiply you get 11.25 then you do the same for 12 and get 15
8=10
9=11.25
12=15
y=3(x+2)^2+4 solve please and thank you!
Answer:
Step-by-step explanation:
Subtract 4 from both sides
y - 4 = 3(x+2)^2
Divide 3 from both sides
(y-4)/3 = (x+2)^2
Square root both sides
SQRT((y-4)/3) = x + 2
Subtract 2 from both sides
x = SQRT((y-4)/3) - 2
Hope this helps
NEED HELP ASAP GEOMETRY
Answer:
BBCADD that is the awnser
Step-by-step explanation:
or a triangle XD
please help with these 4 questions
We use the BODMAS method to solve the given questions.
Solve the Bracket then Divide Multiply Add and Subtract
1. 32÷4×(16×1/2) - 2
= 32÷4 × ( 8 ) - 2
= 8 × 8 - 2 = 64 - 2 = 62
2. 20 ÷ (5×2/5) + 3
= 20 ÷ (2) + 3 = 20 ÷ 2 + 3
= 10 + 3 = 13
3. 1/2 ×(6×4) ÷ 3 + 2
= 1/2 × 24 ÷ 3 + 2
= 1/2 × 8 + 2
= 4 + 2 = 6
4. 2 (6÷2+8) - 4
= 2 (3+8) - 4
= 2 × 11 - 4
= 22 - 4
= 18
simplify (2^3)^-2
urgent need for answers
Answer:
0.015625Step-by-step explanation:
I would REALLY try to explain, but I can't find any explanation.
If this is my best, give other person brainliest.
Answer:
Exact form would be 1/64
Decimal form would be 0.015625
Step-by-step explanation:
Which Line has The Greater Slope
1
2
3
4
If the poh of vinegar is 9.45, what is its [oh− ]? round to the nearest hundredth. × 10n m n =
The [OH] of vinegar to the nearest hundredth is 2.82 * 10^-5
How to calculate the [OH] of a substance:The sum of the pH and pOH of a substance is 14. Mathematically
[OH−] = Antilog (pOH)
Given the following parameters
[OH−] = Antilog (9.45)
Substitute
[OH−] = 2.82 * 10^-5
Hence the [OH] of vinegar to the nearest hundredth is 2.82 * 10^-5
Learn more on pH and pOH here:https://brainly.com/question/13557815
Answer:
The person above me is incorrect
1st blank is 3.55
2nd blank is -10
Step-by-step explanation:
Look at the image (bottom left corner)
PLEASE HELP WILL GIVE BRAINLIEST!!!!
Answer:
1/2
Cameron made :
[tex]\sf \hookrightarrow \dfrac{2}{5} *160[/tex]
[tex]\sf \hookrightarrow 64 \ cookies[/tex]
Lindsey made :
16 cookiesTogether:
16 + 64 = 80 cookiesLeft to make:
(160-80)/1601/2Total made:-
16+2/5(160)16+2(32)16+6480cookiesCookies left:-
160-80=80Fraction:-
80/1601/2Would I do 12 time 4.5?? Someone please help
Answer:
96
Step-by-step explanation:
Dakota deposited $500 in an account earning 10% interest compounded annually.
To the nearest cent, how much interest will she earn in 3 years?
Answer:
After 3 years, Dakota will have $674.09 total.