Answer:
A: P(t)=29100e^(.05t)
B: ≈43412
Step-by-step explanation:
A: The formula A=Pe^(rt) can be used. Initial value of 29100, e is the exponential constant, the rate is 5% which can be seen as 5/100, and t=time
B: Use the equation you created and substitute 8 for t since the years of difference between 2008-2000 is 8 years
29100e^(.05(8)) ≈ 43412.0987014
Rounded to the nearest fox is ≈43412
15) Volume of a cuboid with base area 500 m2 and height 4m is. with steps
Answer:
Volume of cuboid = 2000 m³
Step-by-step explanation:
Given the following data;
Base area = 500 m²
Height = 4m
To find the volume of a cuboid;
The volume of a cuboid is given by the formula;
Volume of cuboid = length * breadth * height
But remember, base area = length * breadth
Therefore, the volume of the cuboid becomes;
Volume of cuboid = base area * height
Substituting into the equation, we have;
Volume of cuboid = 500 * 4
Volume of cuboid = 2000 m³
Nevaeh invested $1,200 in an account paying an interest rate of 2% compounded
quarterly. Paisley invested $1,200 in an account paying an interest rate of 2 %
compounded continuously. To the nearest dollar, how much money would Nevaeh
have in her account when Paisley's money has tripled in value?
Answer:3980
Step-by-step explanation:
Which is the better buy? $15.40 for 3.5 lbs of gummy bears or $7.65 for 1.8 lbs of gummy bears
Answer:
$7.65 for 1.8 lbs of gummy bears
Step-by-step explanation:
Copper costs £5 per kilogram.
Zinc costs £3.20 per kilogram.
Copper and zinc are mixed in the ratio 4:1 to make brass.
Work out the cost of 7 kilograms of brass
Answer:
4x(5)+1×(3.20)= 20+3.20=23.20
Step-by-step explanation:
The cost of 7kg of brass is £32.48.
What is ratio?
A ratio is a comparison of two or more numbers that indicates their sizes in relation to each other.
According to the given question.
Cost of one kg of copper = £5
Cost of one kg of zinc = £3.20
Also, copper and zinc are mixed in the ratio 4:1.
Let the quantity of copper be 4x and the quantity of zinc 1x.
Weight of brass = 7kg
⇒ 4x + 1x = 7
⇒ 5x = 7
⇒ x = [tex]\frac{7}{5}[/tex]
⇒ x = 1.4
Weight of copper, 4x = (1.4)(4) = 5.6kg
Weight of zinc, 1x = (1) ×(1.4) = 1.4kg
Therefore,
The cost of 7kg of brass
= (5.6)×(£5) + (1.4)(£3.20)
= 28 + 4.48
= £ 32.48
Therefore, the cost of 7kg of brass is £32.48
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Ive been looking at this for a long time please help.
Answer:
x = 2 and y = 7. This is 2 unknown and 2 equation...It's simply to combine. as below.
Step-by-step explanation:
-6x + 2y =2---> simplify like -3x + y = 1 then column add with -4x - y = -15---> so -7x = -14---->x = 2 and -4 (2) - y = -15 ---> -8 + 15 = y....so y = 7..
Answer is x = 2 and y = 7...
find the value of x
a. 31
b. 46
c. 52
d. 107
Suppose you fill the cone with water and empty the water into the cylinder. How many times will you empty the water from the cone into the cylinder.
A.3 TIMES B.6 TIMES C.9 TIMES
Answer:
I believe around 3 times
Step-by-step explanation:
Because if we round we would get
150÷50=3
Hope this helps!!
If the length of a rectangle is decreased by 6 cm and the width is increased by 3 cm, the result will be a square, the area of which will be 27 cm^2 smaller than the area of the rectangle. Find the area of the rectangle. PLZZZZZZ HELP WILL MAKE BRAINLIEST!!!
Answer:
Step-by-step explanation:
L-6=W+3
L=W+9
LW-(L-6)(W+3)=27, using L from above makes this
W(W+9)-(W+9-6)(W+3)=27
W^2+9W-(W+3)(W+3)=27
W^2+9W-W^2-6W-9=27
3W-9=27
3W=36
W=12, since L=W+9
L=12+9=21
A=LW
A=21(12)
A=252 cm^2
The area of the rectangle is 252 cm^2.
Calculation of the area of the rectangle:Since
If the length of a rectangle is decreased by 6 cm and the width is increased by 3 cm.
So it can be like
L-6=W+3
L=W+9
Now
LW-(L-6)(W+3)=27
So,
W(W+9)-(W+9-6)(W+3)=27
W^2+9W-(W+3)(W+3)=27
W^2+9W-W^2-6W-9=27
3W-9=27
3W=36
Also,
W=12, since L=W+9
L=12+9=21
So,
A=LW
A=21(12)
A=252 cm^2
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Given the following exponential function, identify whether the change represents
growth or decay, and determine the percentage rate of increase or decrease.
y = 2100(0.96)^x
I don't know exactly but I have gotten decrease
Answer:
decay decrease 4%
Step-by-step explanation:
Just did it on deltamath
PLS HELP "if i eat 1 donut out of 12 how many do i have"
Answer:
11
if you eat 1 out of 12 you get 11
Reduce to simplest form -9/11 - (-7/4)
Answer:
74 is already in the simplest form. It can be written as 1.75 in decimal form (rounded to 6 decimal places).
Step-by-step explanation:
***PLEASE HELP***
what is the value of the constant in the equation that relates height and width of this rectangle?
A. 5
B. 100
C. 200
D. 2
Answer:
200
Step-by-step explanation:
Answer: 2
Step-by-step explanation: A p e x
I need to find the x and the angle of m
Answer:
8
Step-by-step explanation:
By the property of intersecting tangent and secant outside of a circle.
[tex](4x + 2) \degree = \frac{1}{2} \{(22x + 14) \degree - 122 \degree) \} \\ \\2 (4x + 2) \degree = \{(22x + 14) \degree - 122 \degree) \} \\ \\ (8x + 4) \degree = (22x + 14 - 122) \degree \\ \\ (8x + 4) \degree = (22x - 108) \degree \\ \\8x + 4 = 22x - 108 \\ \\ 4 + 108 = 22x - 8x \\ \\ 112 = 14x \\ \\ x = \frac{112}{14} \\ \\ x = 8[/tex]
PLEASE HELP ME :’)
determine the value of X
Answer:
x = 26degrees
Step-by-step explanation:
The sum of all angles in any triangle is 180degrees. The given figure is a triangle, therefore, one can apply this property to the given triangle. Form an equation using this given information,
(2x) + (3x) + (50) = 180
Simplify,
5x + 50 = 180
Inverse operations,
5x + 50 = 180
-50 -50
5x = 130
/5 /5
x = 26
Which measurement has the LEAST capacity?
2 gallons
7 quarts
19 pints
30 cups
Answer:
30 cups
Step-by-step explanation:
only equal to 15 pints
Rachel earned $2198 in 7 years on an investment at a
4% annual simple interest rate.
How much was Rachel's investment?
Answer:
87,92
Step-by-step explanation:
The difference of two numbers is 7. Their sum is 41. What is the smaller number?
#2) Which of the following would be considered a financial advantage of renting a
house or apartment?
Renters receive no federal income tax benefits.
Renters do not have the maintenance costs associated with home ownership.
Renters do not build equity on the house they rent.
O None of the above
Renters do not have the maintenance costs associated with home ownership. Therefore, option B is the correct answer.
What is tax?In mathematics, the tax calculation is related to the selling price and income of taxpayers. It is a charge imposed by the government on the citizens for the collection of funds for public welfare and expenditure activities. There are two types of taxes: direct tax and indirect tax.
Both renting and buying have their financial advantages, and owning a home isn’t right for everyone.
Unlike homeowners, renters have no maintenance costs or repair bills and they don't have to pay property taxes.
Amenities that are generally free for renters aren't for homeowners, who have to pay for installation and maintenance.
Renters do not have the maintenance costs associated with home ownership.
Home owners have to pay for all costs & repairs needed.
Therefore, option B is the correct answer.
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In the year 2006, a company made $3.2 million in profit. For each consecutive year
after that, their profit increased by 14%. How much would the company's profit be in
the year 2009, to the nearest tenth of a million dollars?
Answer:
Step-by-step explanation:
[tex]A=ar^{(x-1)}\\ \\ A=3.2(1.14^{(y-2006)})\\ \\ A=3.2(1.14^{(2009-2006)})\\ \\ A=4.7 million[/tex]
Please help me.......
Answer:
456 unit I hope it is a right answers
Which two types of lines only meet inside the triangle?
Answer:
angle bisectors and opposite side perpendiculars
Step-by-step explanation:
Select the correct answer.
Which statement about the function represented by this graph is true?
A. The function has an inverse because it passes the vertical line test.
B. The function does not have an inverse because it never crosses the x-axis
C. The function has an inverse because it passes the horizontal line test.
D. The function does not have an inverse because it does not pass the horizontal line test.
Answer:
your answer will be C. The function has an inverse because it passes the horizontal line test.
bye have a nice day ^_^
C. The function has an inverse because it passes the horizontal line test.
What is function ?A function is a rule or a relation that associates each element of a non-empty set A, to at least a single element of another non-empty set B.
The relation f from a domain set to co-domain set is called function.
Example : f = {(x, y) | for all x∈X & y∈Y}
A relation becomes function when every element of domain has one and only one image in co-domain.
What is inverse of function ?If f is a function which is one-one as well as on-to, i.e, if the function is bijective, then the inverse of this function exists and the inverse is then denoted by [tex]f^{-1\\}[/tex]
Inverse function of a function always undoes the operations of the function f.
f(a) = b if and only if f⁻¹ (b) = a , where a is from domain & b is from co-domain set.
Which is the correct option ?From the above descriptions, we can see that, since the function passes through the horizontal line, so it has an inverse.
Hence the option C is the correct one.
C. The function has an inverse because it passes the horizontal line test.
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PLEASE HELP!!!!!!!!! I NEED IT
The angle of elevation from a point on the ground to the top of a tower is 18°. The base of the tower is 100 feet from the point on the ground. Find the height of the tower. Round to the nearest tenth of a foot.
Answer:
32.5 feet
Step-by-step explanation:
This situation forms a right triangle. We are given the distance from the base of the tower (long leg of the triangle) and are asked to find the height (short leg of the triangle).
With this information, we can use the tan ratio, opposite over adjacent, to find the height of the tower.
tan 18 = [tex]\frac{x}{100}[/tex]
Multiply each side by 100:
(100) tan 18 = x
Simplify and round to the nearest tenth:
32.49 = x
32.5 = x
So, the height of the tower is approximately 32.5 feet
IN 2013 The number of students in a small school is 284. it is estimated that the student population will increase by 4% every year. write formula for student population and estimate student population in 2020
Answer:
Amount = Initial value × (1 + rate of interest)^years and 374
Step-by-step explanation:
The formula to determine the student population and the estimated student population is given below:
As we know that
Amount = Initial value × (1 + rate of interest)^years
= 284 × (1 + 0.04)^7
= 284 × 1.04^7
= 373.72
= 374
I NEED HELP PLEASE I WILL GIVE CROWN :))
Answer:
Its the second answer
Step-by-step explanation:
A tree initially measures 40 1/2 feet tall. Over the next 7 1/2 years, it grew to a final height of 57 feet. During those 7 1/2 years, what was the average yearly growth rate of the height of the tree?
Answer:
OK I will dot this after getting 10 followers
Answer:
deez
Step-by-step explanation:
by what percent would a number change if it increased by 5% and the result was also increased by 5%
Answer:
10.25%
Step-by-step explanation:
imagine the number is 100. Increase that by 5% so multiply 100 by 105%. This equals 105. Then increase 105 by 5% so multiply 105 by 105%. This equals 110.25. The original number was 100 so 110.25-100= 10.25. 10.25/100= 10.25%
Hope this is correct :) I'm rly not sure now
Answer:
10%
Step-by-step explanation:
Scores on the final in a statistics class are as follows.
75 25 75 52 80 85 80 99 90 60
86 92 40 74 72 55 87 70 85 70
Required:
a. Calculate the 25th, 50th, and 75th percentiles.
b. Calculate the interquartile range.
c. Construct a boxplot. Are there any outliers?
Answer:
Kindly check explanation
Step-by-step explanation:
Calculate the 25th, 50th, and 75th percentiles.
b. Calculate the interquartile range.
c. Construct a boxplot. Are there any outliers?
Reordered data:
25, 40, 52, 55, 60, 70, 70, 72, 74, 75, 75, 80, 80, 85, 85, 86, 87, 90, 92, 99
25 th percentile :
1/4 (n + 1)th, tetm
n = 20
1/4(21) = 5.25th term
(5 + 6) th term / 2
= 65
50th percentile :
1/2 (n + 1)th, tetm
n = 20
1/2(21) = 10.5th term
(10 + 11) th term / 2
= 75
75th percentile:
3/4 (n + 1)th, tetm
n = 20
3/4(21) = 15.75th term
(15 + 16) th term / 2
= 85.5
Interquartile range :
Q3 - Q1
75th percentile - 25th percentile
85.5 - 65
= 20.5
25 is an Outlier
What is the measure of ∠UVW in the triangle shown?
Question 19 options:
A)
140°
B)
50°
C)
60°
D)
10°
Answer:
50°
Step-by-step explanation:
Given that a triangle measures 180°.
∠U =40°
∠W=90°
Sum:130°
180°-130°=50°
Patrick will borrow $4300 at 11.5% APR. He will pay it back over 5 years.
What will his monthly payment be? (Use the table.)
$94.56
$96.79
$123.21
$141.81
Answer:
94.56
Step-by-step explanation:
because 94,56 x 11.5 x 5 =4300
Answer:
Step-by-step explanation:
Equal installments can be found by
I=P((r-1)/(r^n-1)+(r-1)) (note monthly rate is r/12, r is about 1.00958)
I=4300((1.00958-1)/(1.00958^60-1)+0.00958)
I=$94.56