Answer:
49.9 years or 50 years later. At year : 2042Explanation:
use compound interest formula: [tex]\sf \boxed{ \sf P ( \sf 1 + \dfrac{r}{100} )^n}[/tex]
[tex]\rightarrow \s \sf 10( 1 + \dfrac{1.4}{100} )^n = 20[/tex]
[tex]\rightarrow \sf ( 1.014) ^n = 2[/tex]
[tex]\rightarrow \sf n( ln( 1.014) ) = ln(2)[/tex]
[tex]\rightarrow\sf n = \dfrac{ln(2)}{ln( 1.014)}[/tex]
[tex]\rightarrow\sf n = 49.8563 \ years[/tex]
Answer:
General form of an exponential equation: [tex]y=ab^x[/tex]
where:
a is initial valueb is the base (or growth factor in decimal form)x is the independent variabley is the dependent variableIf b > 1 then it is an increasing functionIf 0 < b < 1 then it is a decreasing functionAlso b ≠ 0Given information:
initial population = 10 milliongrowth rate = 1.4% each year⇒ growth factor = 100% + 1.4% = 101.4% = 1.014
Inputting these values into the equation:
[tex]\implies y=10(1.014)^x[/tex]
where y is the population (in millions) and x is the number of years since 1992
Now all we need to do is set y = 20 and solve for x:
[tex]\implies 10(1.014)^x=20[/tex]
[tex]\implies 1.014^x=2[/tex]
[tex]\implies \ln 1.014^x=\ln 2[/tex]
[tex]\implies x\ln 1.014=\ln 2[/tex]
[tex]\implies x=\dfrac{\ln 2}{\ln 1.014}[/tex]
[tex]\implies x=49.85628343...[/tex]
1992 + x = 2041.8562....
Therefore, the population will reach 20 million during 2041, so the population will reach 20 million by 2042.
Find the volume of the prism.
Answer:
I'm guessing it is 12000
Step-by-step explanation:
let me now if it is wrong
[tex] \Large\tt{ANSWER}[/tex]
[tex]\LARGE \tt{12000 \: cm^3 }[/tex]
[tex]\Large \tt{SOLUTION}[/tex]
Formula of Rectangular PrismVolume = Length × Width × Height
Volume = Length × Width × HeightVolume = 60 cm ×20 cm × 10 cm[tex]\Large \tt{12000 \: cm^3 }[/tex]For More Information, Visit this Link.
→ What is Volume:
brainly.ph/question/6286323Pls help!!!!!!!!!!!!!!!!!!!!
Answer:
step 1,×+8=_2
step2,×=_2_8
step3,×=_10
100 Points ! ! !
Exploiting points will be reported.
Brain deposited $9,824 into a savings account for which interest is compounded daily at a rate of 3.62%. How much interest will he earn after 8 years?
SHOW WORK AND WILL GIVE BRAINLIST
$3299.62
compounded daily interest : [tex]\sf A = P(1 + \dfrac{r}{n})^{nt}[/tex][tex]\sf 9,824.00(1 + \dfrac{3.62\%}{365})^{(365)(8)}[/tex][tex]\sf \$13,123.62[/tex]
total money he will have : $13,123.62
amount earned : $13,123.62 - $9,824 = $3299.62Answer:
Interest = $3,299.64 (nearest cent)
Step-by-step explanation:
Compound interest formula: [tex]\sf I=P(1+\frac{r}{n})^{nt}-P[/tex]
where:
I = total interest earned over time periodP = initial principal balancer = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsedGiven:
P = $9,824r = 3.62% = 0.0362n = 365t = 8 yearsSubstituting given values into the formula and solving for I:
[tex]\sf \implies I=9824(1+\frac{0.0362}{365})^{365 \times8}-9824[/tex]
[tex]\sf \implies I=13123.62461-9824[/tex]
[tex]\sf \implies I=3299.62 \ (nearest \ hundredth)[/tex]
amina and cara take a math test amina scores 40 marks,cara scores 60 marks write the ratio of amin to cara's marks
-they are given $20 to share,they share the money in the ratio of their marks how much does amina recieves
Answer
8
Step-by-step explanation:
Ratio: 40 : 60
Total amount - $20
40/100 x 20
= 8 (ANS)
i hope my answer is correct if not i apologize.
What the value of q?
Answer:
50°
Step-by-step explanation:
because angles on straight line add up to 180°,
180-130=50 :)
Determine the equation of a Linear Function with a negative slope, goes through the point (0,5), and has a hole at x = -1
Answer:
[tex]y=\frac{-x(x+1)}{x+1} +5[/tex]
Step-by-step explanation:
This function has a slope of -1, a hole at x = -1, and a y-intercept of 5
Lori puts up a sign for her business 500 meters from the main entrance. She once read that it takes the average adult 6 minutes to walk 500 meters. She decides to test this by having 200 adults walk the 500 meters from her sign to her store. Which of the following is the sample in Lori's experiment?
Step-by-step explanation:
She decided to test this by 200 adults, so. Divide 6 by 500 = 0.012 (200)=2.4mins.
Answer: The 200 adults
Step-by-step explanation:
What is the vertex of the graph of the function f(x) = x2 + 8x − 2 ? (−4, 18) (0, -2) (-8, -2) (−4, −18)
Answer:
(−4, −18)
Step-by-step explanation:
f(x) = x^2 + 8x - 2
⇒ CONVERT TO VERTEX FORM
≥ f(x) = (x + 4)^2 - 16 - 2
≥ f(x) = (x + 4)^2 - 18
⇒ VERTEX IS AT:
≅ ((−4, −18))
Answer:
The answer is D......
Step-by-step explanation:
can someone help me with this I already answered half of all of them but I need to make sure It's right?
Answer:
C. 56.42
Step-by-step explanation:
56 is a whole number and .42 is 42 hundredths
hi i need help thank u so much
WORTH 5o points
Answer:
it will be 8 answer letter A
Answer:
A. 8
Step-by-step explanation:
From pythagoras theorem
10^2=6^2+x^2
100-36=x^2
sqrt 64=x
x=8
Tim will buy a pair of shoes that cost $120.He received a 35% discount coupon. Luckily his friend Mario gets an additional 15% discount being an employee of the store. If Mario buys the shoes for Tim, how much will Mario pay if the tax is 8%? Round your answer to the nearest centavo
Answer: 55.20$
Step-by-step explanation:
1. Add up 35% with the 15% since Mario is paying for it
2. Multiply 120(the cost without any discount/tax) with the new discount percentage
3. Now with the answer from multiplying subtract it from 120.
4. With the answer, multiply the tax percentage(0.08)
5. Now add It to the discounted price.
6. Round it to the nearest hundredth
Sorry forgot to post pictures of the question on last post (here there are)
For question 4 and 5 You have to find what the equation would look like on a graph. brainly wouldn't let me post all the answer options for those questions sorry!
Answer:
See below for answers and explanations
Step-by-step explanation:
Problem 1
[tex]x=-3+2cos\theta,\:y=5+2sin\theta\\\\x+3=2cos\theta,\: y-5=2sin\theta\\\\(x+3)^2=4cos^2\theta,\: (y-5)^2=4sin^2\theta\\\\(x+3)^2+(y-5)^2=4cos^2\theta+4sin^2\theta\\\\(x+3)^2+(y-5)^2=4(cos^2\theta+sin^2\theta)\\\\(x+3)^2+(y-5)^2=4(1)\\\\(x+3)^2+(y-5)^2=4[/tex]
Thus, the first option is correct. Trying all the other options will not get you the desired rectangular equation.
Problem 2
[tex]x=3-6cos\theta,\: y=-2+3sin\theta\\\\x-3=-6cos\theta,\: y+2=3sin\theta\\\\\frac{x-3}{-6}=cos\theta,\: \frac{y+2}{3}=sin\theta\\ \\ \frac{(x-3)^2}{36}=cos^2\theta,\: \frac{(y+2)^2}{9}=sin^2\theta\\ \\ \frac{(x-3)^2}{36}+\frac{(y+2)^2}{9}=cos^2\theta+sin^2\theta\\\\ \frac{(x-3)^2}{36}+\frac{(y+2)^2}{9}=1[/tex]
Therefore, the first option is correct. This equation is in the form of an ellipse with a horizontal major axis length of 12 (half is 6) and a vertical minor axis length of 6 (half is 3), with its center at (3,-2).
Problem 3
Not sure which equation needs to be used for this problem
Problem 4
[tex]x=-7cos\theta ,\:y=5sin\theta\\\\-\frac{x}{7}=cos\theta,\: \frac{y}{5}=sin\theta\\ \\ \frac{x^2}{49}=cos^2\theta,\: \frac{y^2}{25}=sin^2\theta\\ \\\frac{x^2}{49}+\frac{y^2}{25}=cos^2\theta+sin^2\theta\\ \\ \frac{x^2}{49}+\frac{y^2}{25}=1[/tex]
This equation is in the form of an ellipse with a horizontal major axis length of 14 (half is 7) and a vertical minor axis length of 10 (half is 5). See attached graph.
Problem 5
Eliminate the parameter:
[tex]x=-t^2-2,\:y=-t^3+4t\\\\x+2=-t^2\\\\-x-2=t^2\\\\\pm\sqrt{-x-2}=t\\\\y=-t^3+4t\\\\y=-(\pm\sqrt{-x-2})^3+4(\pm\sqrt{-x-2})[/tex]
Attached below is the graph of the curve, which corresponds with the first option.
Solve for x in the diagram below?
The value of x in the triangle with angles 80, 40 and (13x - 5) degrees is 5.
Sum of angle in a triangleThe sum of angle in a triangle is equals to 180 degrees. Recall a triangle have three sides. Therefore,
80 + 40 + 13x - 5 = 180
120 - 5 + 13x = 180
115 + 13x = 180
subtract 115 from both sides of the equation
115 - 115 + 13x = 180 - 115
13x = 65
divide both sides by 13
13x / 13 = 65 / 13
x = 5
learn more on triangle here: https://brainly.com/question/15268683
What is the Area of this shape?
14 * 12 = 168
(12*8) / 2 = 48
216 cm ^2
Answer:
1,344 cm counting the side shape or 168 cm counting only the rectangle.
Step-by-step explanation:
14 cm x 12 cm = 168cm
168 x 8 = 1,344 cm
1
Find the circumference of the circle shown, correct to two decimal places.
7 cm
Circumference =
Enter your next step here
cm
Mrs. Woods wants to give each of her 25 students a pencil on the first day
of school. The pencils come in boxes of 12. How many boxes will she need
to purchase?
Answer
3 boxesStep-by-step explanation:
So she needs to give 25 pencils to each student.
1 box = 12
number of boxes = 25/12
=2.08
round it to 3
Therefore she need 3 boxes
Find the domain for each expression. (1/x)+5
1/x
X+5/x+5
X^2/x
7/(x-2)
Using it's concept, it is found that the domain for the expressions is, respectively, given by:
[tex]x \neq 0, x \neq 0, (-\infty, \infty), (-\infty, \infty), x \neq 2[/tex]
What is the domain of a function?It is the set that contains all possible input values.
In a fraction, the denominator cannot be zero, hence:
The domain of the first two expressions is of [tex]x \neq 0[/tex].The domain of the last expression is of [tex]x \neq 2[/tex].The third expression can be simplified, as:
(x + 5)/(x + 5) = 1.
The same is true for the fourth, as:
x²/x = 1.
Neither has any restriction, hence their domain is all real numbers, represented by [tex](-\infty, \infty)[/tex].
More can be learned about the domain of a function at https://brainly.com/question/25897115
A rectangle has a length of √ 72 meters and a width of √ 18 meters. Find its perimeter in exact and approximate forms, and then find its area.
The exact perimeter is _________ meters.
This is approximately ___________ meters. (Round your answer to the nearest tenth)
The area of the rectangle is ____________ square meters.
Answer:
The exact perimeter is [tex]18\sqrt{2}[/tex] meters.
This is approximately 25.5 meters (nearest tenth).
The area of the rectangle is 36 square meters.
Step-by-step explanation:
Area of a rectangle = width × length
Perimeter of a rectangle = (2 × width) + (2 × length)
Given:
length = [tex]\sqrt{72}[/tex] mwidth = [tex]\sqrt{18}[/tex] mPerimeter
[tex]\textsf{Perimeter}=2 \sqrt{18} +2\sqrt{72}[/tex]
[tex]=2 \sqrt{9 \cdot 2} +2\sqrt{36 \cdot 2}[/tex]
[tex]=2 \sqrt{9} \sqrt{2}+2\sqrt{36}\sqrt{2}[/tex]
[tex]=2 \cdot 3 \sqrt{2}+2\cdot 6\sqrt{2}[/tex]
[tex]=6 \sqrt{2}+12\sqrt{2}[/tex]
[tex]=18\sqrt{2} \textsf{ m}[/tex]
The exact perimeter is [tex]18\sqrt{2}[/tex] meters.
This is approximately 25.5 meters (nearest tenth).
Area
[tex]\textsf{Area}=\sqrt{18} \times \sqrt{72}[/tex]
[tex]=\sqrt{9 \cdot 2} \times \sqrt{36 \cdot 2}[/tex]
[tex]=3\sqrt{2} \times 6\sqrt{ 2}[/tex]
[tex]=18\sqrt{2}\sqrt{ 2}[/tex]
[tex]=18 \cdot 2[/tex]
[tex]=36 \textsf{ m}^2[/tex]
The area of the rectangle is 36 square meters.
Triangle ABC was dilated using the rule DO,4. Triangle A'B'C' is the result of the dilation.
Point O is the center of dilation. Triangle A B C is dilated to create triangle A prime B prime C prime. The length of O B is three-fourths.
What is OB'?
1.5 units
3 units
4.5 units
6 units
Dilation is the change in size of of object. The length of the side OB' will be 3 units
Dilation of coordinateFrom the given diagram, we can see that there is a change in the side of the triangle OAB to OA'B'
Given the following parameters
OB = 3/4 units
Scale factor = 4 units
The measure of OB' = 4 * 3/4 = 3 units
Hence the length of the side OB' will be 3 units
Learn more on dilation here: https://brainly.com/question/10253650
Answer:
3
Step-by-step explanation:
edg 2022
What's the answer to this
z + 2 = 50
[tex]z + 2 = 50[/tex]
[tex]z = 50 - 2[/tex]
[tex]z = 48[/tex]
Answer:
z = 48
Step-by-step explanation:
z + 2 = 50 ( subtract 2 from both sides )
z = 48
Find the area for all of them. Pleaseee help me I don’t understand.
Answer:
Step-by-step explanation:
top = 120sq m
middle = 17sq cm
bottom = 102 sq feet
the area of a rectangle is 78 square meters. The length of the rectangle is one more than twice the width. What are the dimensions of the rectangle?
NO FILES PLEASE
[tex]area \: = 78[/tex]
[tex]area = length \: \times \: width[/tex]
[tex]78 = (x)(2x + 1)[/tex]
[tex]x = 6[/tex]
Thus the dimensions are 6 & 13
Answer:
6&13.All you need to do is find the factors of 78 and plug the smaller number into the equation provided in the equation. 2x+1 is our equation. so6*13 is 78 and 2x+1=13... 6for x to get 2*6+1=13
Step-by-step explanation:
A file that is 236 megabytes is being downloaded. If the download is 19.3% complete, how many megabytes have been downloaded? Round your answer to the nearest tenth.
Answer:
18.3% x 238 megabytes
0.183 x 238 = 43.554 megabytes = 43.6 megabytes (rounded to the nearest tenth) or 43.55 (rounded to the nearest hundredth).
Step-by-step explanation:
2. What inference can you make by comparing the measures
of variability?
I need the answer
Answer:
16.02
Step-by-step explanation:
2. What inference can you make by comparing the measures
of variability?
I need the answer
16.02
find the circumference with radius (Y) cm?
Answer:
circumference = 2*PI*Y
Step-by-step explanation:
B. To make salad dressing for the fruit salad, Mrs. Santos uses 2/4 cup oil, 1 cup orange juice, and 3/4 cup honey. How many cups of salad dressing does this make? Explain how you found your answer.
Answer:
[tex]\sf 2 \frac14 \ cups[/tex]
Step-by-step explanation:
Add the amounts together:
[tex]\sf \implies \dfrac24+1+\dfrac34[/tex]
Convert the whole number 1 into a fraction with denominator 4:
[tex]\sf \implies \dfrac24+\dfrac44+\dfrac34[/tex]
As all the denominators are the same, we can simply add the numerators:
[tex]\sf \implies \dfrac{2+4+3}4[/tex]
[tex]\sf \implies \dfrac94[/tex]
Finally, convert the improper fraction into a mixed number:
[tex]\sf \implies 2 \frac14 \ cups[/tex]
Add all
[tex]\\ \rm\rightarrowtail \dfrac{2}{4}+\dfrac{3}{4}+\dfrac{4}{4}[/tex]
[tex]\\ \rm\rightarrowtail \dfrac{2+3+4}{4}[/tex]
[tex]\\ \rm\rightarrowtail \dfrac{9}{4}[/tex]
[tex]\\ \rm\rightarrowtail 2\dfrac{1}{4}cups[/tex]
Find the area if the pentagon. I’ll mark the brainiest :)
Answer:
688.19 inches
Step-by-step explanation:
Sanjay is standing on level ground 70 meters away from a flag pole. The angle of elevation to the flagpole is 38 degrees. The height of Sanjay's eyes are 167cm from the ground. How tall is the flag pole in meters?
The height of the pole is 53 m
What is the height of the pole?The angle of elevation is the angle formed between a horizontal line and a line of sight or an upwardly inclined line from an observer to an object or point. It is used to describe the angle at which an object is viewed from a particular position
Let the height of the pole be x
We know that;
Tan 38 = 1.67 + x/70
Tan 38 * 70 = 1.67 + x
x = (Tan 38 * 70 ) - 1.67
x = 53 m
Thus we can see that the height of the pole is about 53 m
Learn more about angle of elevation:https://brainly.com/question/21137209
#SPJ1
Find the area. Do you multiply all sides?
Answer:
The area of the Trapezoid is :
h(a+b)/2
3(2+6.2)/2
3(8.2)/2
24.6/2
12.3 m²
Answer:
Step-by-step explanation:
I think you are to assume that this is a trapezoid and that the top right angle symbol is missing.
Area = (b1 + b2 ) * h /2
Givens
b1 = 2
b2 = 6.2
h = 3
Solution
Area = (2 + 6.2)* 3 / 2 Combine what is inside the brackets
Area = 8.2 * 3 / 2 Divide by 2
Area = 4.1 * 3 Combine
Answer: Area = 12.3
what is the length of the arc with a measure of 200 degrees in a circle with a radius of 31 inches?
Answer:
403π/9 or 140.67
Step-by-step explanation:
First, you have to find the circumference of the circle
Circle circumference equation:
Circumference = dπ (Circumference = diameter x pi)
You have a radius of 31 which is equal to 62 diameter (diameter is double the radius)
So:
C = 62π
Now, you need to know that a full circle is 360 degrees and we want only 200 degrees of that,
So in other words, you want 200/360 of the circle's circumference.
You can find the measure of the 200 degree arc by doing
62π x [tex]\frac{200}{360}[/tex] = [tex]\frac{403pi}{9}[/tex] or 140.67