Answer:
A(t) = 90e^0.12t ;
299 mg
Step-by-step explanation:
General Continous growth rate equation :
A = Pe^rt
A = amount present, t years after year of initial amount.
Here,
P = 90 mg, amount in year 2000
r = rate = 12% = 0.12
t = years after 2000
Therefore,
A is written as ;
A(t) = 90e^0.12t
Amount present in year 2010 ;
t = 2010 - 2000 = 10
A(10) = 90e^0.12(10)
A(10) = 90 * e^1.2
= 90 * 3.3201169
= 298.81052
= 299 mg
for what values of a, a polynomial in standard form, equivalent to the product of (x^2+x-1)(x-a), does not contain x^2
Answer:
a = 1
Step-by-step explanation:
(x²+x-1)(x-1) = x³+x²-x-x²-x+1 = x³-2x+1
If (4 + 2i) – (a + 5i) = 9 – 3i, find the value of a.
what is the value of the digit 2 in the number 2348
Answer:
Two thousands or 2000
Step-by-step explanation:
2 is in the 4th column from the right which is the thousands
Answer:
thousands place
Step-by-step explanation:
The following list of numbers follows a geometric progression 5.-10. 20.-40.... What are the next three terms in the pattern? A. 60.-80, 100 B. -80.160.-320 C. 80.-160,320 D. -60. 80. -100
Answer:
C
Step-by-step explanation:
5.-10.20.-40.80.-160.320
This pattern shows each number being multiplied by -2
Identify all sets to which the number -7 belongs.
Answer:
Step-by-step explanation:
-7 which set of number belongs, betwen
Natural
Whole
Intergers
Rational
Irrational
Real
Determine whether each statement is true or false:
a. Adding a multiple of one column of a square matrix to another column changes only the sign of the determinant.
b. Two matrices are column-equivalent when one matrix can be obtained by performing elementary column operations on the other.
c. If one row of a square matrix is a multiple of another row, then the determinant is 0.
Answer:
a. False
b. True
c. True
Step-by-step explanation:
The statement a is false and the other two statements are true. Adding a multiple of one column not only changes the sign of the determinant but also the variables are changed. When two rows of square matrix are equivalent then the determinant is zero which means when one row is multiple of another row the determinant is zero.
I NEED HELP
Suppose 24 is 2%. What is 100%?*
Answer:
1200
Step-by-step explanation:
If 24 is 2%, 100% would be 1200 because if you multiply 2 by 50 you get 100% so you multiply 24 by 50 which is 1200
Answer:
20.
Step-by-step explanation:
The strategy here is to see how many times the "percent number" (in this case, 25) goes into 100, and then count by that number until we reach 100-the whole thing. Here, we're told that 25% of a number is 5. So, to find 100% of the number, we count by 25s up to 100: 25, 50, 75, 100. 100% is 20.
1/6 divided by 4 plzzzzz
Answer:
1/6 x 1/4 2/24= 1/12 Answer 1/12
Step-by-step explanation:
Please mark brainliest
Answer:
1/6
=2/24
=1/2
Step-by-step explanation:
I hope it helps you if it helps you please mark brainliest
que resultado da 24 entre 8
Answer:
24÷8=3
Step-by-step explanation:
HELP PLS its advanced pre algebra grade 7
Answer:
x=4
Step-by-step explanation:
3/4(x+8)=9
simplify
3/4x+6=9
-6 -6
3/4x=3
multiply 4
3x=12
divide 3
x=4
3x - y = 2 convert the standard form to slope intercept form (y=mx+b)
Please help this is due today!
Calculate the unknown missing angle measures.
Do not answer this with one answer ,blank, or a ridiculous answer.... this is serious please.
oh can u help me i really need help
Answer:
>
Step-by-step explanation:
0.13 is greater than 0.091
Whats is the distance between the ferris wheel and the merry-go-round? Ferris wheel on the coordinate plane is (-9,6) and the location of the merry-go-round is (10,6)
Answer:
19 units
Step-by-step explanation:
use distance formula: d = [tex]\sqrt{(x_2-x_1)^{2}+(y_2+y_1)^{2}}[/tex]
x₂ = 10
x₁ = -1
y₂ = 6
y₁ = 6
now plug in
[tex]\sqrt{(10-(-9))^{2}+(6-6)^{2}}\\= \sqrt{19^{2}+0^{2}\\}\\= \sqrt{361}\\= 19[/tex]
PLEASE HELP ME!!!!!!
Answer:
[tex] \huge \red{ c_3 = - 1}[/tex]
Step-by-step explanation:
[tex]c_1 = 1 \\ \\
c_n= - 2c_{n-1}+5 \\ \\ c_2 = - 2c_{2-1}+5 \\ \\ c_2 = - 2c_{1}+5 \\ \\ c_2 = - 2(1)+5 \\ \\ c_2 = - 2+5 \\ \\ \huge \purple{c_2 =3} \\ \\ c_3 = - 2c_{3-1}+5 \\ \\ c_3 = - 2c_{2}+5 \\ \\ c_3 = - 2(3)+5 \\ \\ c_3= - 6+5 \\ \\ \huge \red{ c_3 = - 1}[/tex]
Please answer this question for me thank you.
Answer:
24
Step-by-step explanation:
S is 24. 24 times 5 equals 120. To find the answer, you need to divide the bigger number (120) by the other number (5) and then you will get your answer.
What is the HCF of 32 and 21
Answer:
i think is 1
Step-by-step explanation:
CAN SOMEONE PLEASE HELP ME LABEL THE GRAPH SO I CAN PLOT THE POINTS!!
Answer:
Era is x and number of wins is y
Edit: I would go up by two's on the y axis and .5 on the x axis
2squared minus 4squared plus 1 plus 7 squared can you find the answer
2²-4²+1+7²
we should solve the numbers with exponents :
4-16+1+49 = -12 + 1 + 49 = -11 + 49 = 38
pls give me brainliest
what is 16 to the power of a half
Answer:
4
Step-by-step explanation:
A rectangle has an area of 24 square feet and a length of 6 feet. Calculate the perimeter of the rectangle.
A community center rents their hall for special events. They charge a fixed fee of $200 plus an hourly fee of $15. Lin has $300 to spend on renting the hall for a fundraiser. How many hours can Lin rent the hall for? 1) Write an equation. 2) List what your variable represents. 3) Solve the equation. 4) Answer the question
Answer:
6 no 3 yes
Step-by-step explanation:
for 6 hours no because she already used 200 and now she only has 100 to spend
for 3 hours yes because that fee would be UNDER her budget
1. A refrigerator originally cost $795 refrigerator but it is currently on sale with a 20% discount. The sales tax is
9.75%. What is the final sale price after the discount and tax?
Answer:
1630.77
Step-by-step explanation:
795 * 20% = 159
159 divided 9.75% equals 1630.77
hope this helps :)
Last Wednesday, two friends met up after school to read the book they were both assigned in Literature class. Kylie can read 1 page per minute, and she had already read 81 pages. Adam, who has a reading speed of 2 pages per minute, had read 37 pages. Eventually they had read the same number of pages. How long did that take? How many pages had each of them read?
Answer:
45 minutes
Step-by-step explanation:
They both have 127 pages after 45 minutes.
Plz help me. But like for real plz
Answer:
They will pay the same amount!
Find the unit rate for 405 miles in 8 hours. Rounded to the nearest tenth. Thx
Answer:
= 50.6 miles per hour
Showing Work:
This is a fraction equal to
405 miles ÷ 8 hours
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 8
405 miles ÷ 8
8 hours ÷ 8
=
50.625 miles
1 hour
=
50.625 miles
hour
= 50.625 miles per hour
rounding to the nearest tenth:
50.6 miles per hour
A rectangle is 5.1 cm wide and each diagonal is 9.3 cm long. What is the measure of the angle between a diagonal and the shorter side of the rectangle to the nearest tenth of a degree?
Answer:
56.7°
Step-by-step explanation:
A rectangle is 5.1 cm wide and each diagonal is 9.3 cm long. What is the measure of the angle between a diagonal and the shorter side of the rectangle to the nearest tenth of a degree?
We solve this question using the Trigonometric function of Sine
From the question, we are told that:
A rectangle is 5.1 cm wide
and each diagonal is 9.3 cm long.
Since we have a diagonal, this means the shape is transformed to a triangle.
The width of the rectangle = Adjacent side of a triangle = 5.1cm
The diagonal of the rectangle = Hypotenuse = 9.3cm
Hence,
cosθ = Adjacent/Hypotenuse
cosθ = 5.1/9.3
cosθ = 0.5483870968
θ = arccos(0.5483870968)
θ = 56.743568714°
Approximately = 56.7°
The measure of the angle is 56.7°
A $5,600 deposit for 45 years at a simple
interest rate of 3%
Answer:
$13,160
Step-by-step explanation:
5,600*.03=168
168*45= 7,560
5,600+7,560= 13,160
The amount of money in the account of Tom after 3 years with simple interest of 9.5 % is $6135.
What is simple interest?Calculating the amount of interest that will be charged on a loan can be done quickly and easily using the simple interest formula. To calculate the simple interest, we need to multiply the principle amount, the number of days between payments (in years), and the interest rate (in decimals).
The formula to calculate Simple Interest is:
SI = P*I*T
Here, P = Principal amount,
I = interest rate (in decimals),
T = time duration (in years).
putting the values from question:
SI = 5600 * 0.095*3
Simple Interest = 535
The money in the account will be the sum of principal amount and the simple interest.
Final amount = Principal amount + Simple Interest.
A = 5600 + 535
A = 6135
Therefore, the money in the account after 3 years is $6135 .
To know more about simple interest, go to link
brainly.com/question/2294792
#SPJ2
complete question;
Tom deposits $5,600 into a savings account. The simple interest rate for the account is 9.5%. If Tom does not withdraw any money from the account, how much money will be in the account after 3 years?
Find the average rate of change
Answer:
x=2
Step-by-step explanation:
Answer:
Step-by-step explanation:
Average rate of change is (y2-y1)/(x2-x1)
(2(11)-5-2(8)+5)/(11-8)
6/3
2
However since y =mx+b where m is the slope or rate of change we can see that m=2 without calculating.
Please help asap! (the question is on the picture)
Answer:
the answer is 3
explanation:
3x+6/9= 3*7+6/9= 27/9 =3