Answer: 2=2
Step-by-step explanation:
Without any more information, it sounds like interest is compounded continuously, in which case the value of the investment A is given by
[tex]A=Pe^{rt}[/tex]
where P is the principal investment, r is the interest rate, and t is the number of years.
At the end of the second year (t = 2), the value is A = 60,500, and after the fourth year (t = 4), the value is A = 73,205. So solve the system
[tex]\begin{cases}60,500=Pe^{2r}\\73,205=Pe^{4r}\end{cases}[/tex]
for r. You can eliminate P by dividing
[tex]\dfrac{Pe^{4r}}{Pe^{2r}}=\dfrac{73,205}{60,500}\implies e^{2r}=\dfrac{121}{100}[/tex]
Take the logarithm (log here means natural log) of both sides to get
2r = log(121/100)
r = 1/2 log(121/100)
r ≈ 0.0953
So the interest rate is about 9.53%.
please please help me!
Answer:
Option 4
Step-by-step explanation:
It has a negative slope of -[tex]\frac{1}{5}[/tex] (move down one and to the right 5)
what is the equation of the line through (2,-1) and (0,5)
A. y= -3x + 5
B. y= 3x - 5
C. y= -3x - 5
D. y= 3x + 5
f(x) = 2x + 3 - (x + 10 )
Which set of ordered pairs is made up of points on the graph of the function below? y=2x+3
Can someone help pls !
Answer:
(B). [tex]A_{y}[/tex] = [tex]\left[\begin{array}{cc}12&7\\17&-51\end{array}\right][/tex]
Step-by-step explanation:
12x - 13y = 7
17x - 22y = - 51
A = [tex]\left[\begin{array}{cc}12&-13\\17&-22\end{array}\right][/tex]
[tex]A_{x}[/tex] = [tex]\left[\begin{array}{cc}7&-13\\-51&-22\end{array}\right][/tex]
[tex]A_{y}[/tex] = [tex]\left[\begin{array}{cc}12&7\\17&-51\end{array}\right][/tex]
HELP PLS
A) 16
B) -4
C) -16
Answer:
B) -4 is the crct answer may be
HELP PLEASE FAST ILL MARK BRAINLIEST IF CORRECT 20 points!!
Answer:
8.49
Step-by-step explanation:
6^2 + 6^2 = 72
√72 = 8.485... = 8.49
Write an recursive rule for the sequence 7,14,21,28
Find an equation of the parabola with vertex (2, -1) and directrix y=-7.
Answer:
the answer to this is y=7x-15
Given that f(x) = x2 + 4x – 21 and g(x) = x - 3, find f(x) · g(x) and
express the result in standard form.
9514 1404 393
Answer:
(f·g)(x) = x^3 +x^2 -33x +63
Step-by-step explanation:
The product of the two functions can be found using the distributive property.
[tex]f(x)\cdot g(x)=(x^2+4x-21)\cdot(x-3)\\\\=(x^2+4x-21)(x)+(x^2+4x-21)(-3)\\\\=x^3+4x^2-21x-3x^2-12x+63\\\\\boxed{(f\cdot g)(x)=x^3 +x^2-33x+63}[/tex]
sharice is putting jars of jam into boxes. she puts 8 jars into each box, and she has a total of 144 jars. sharice wants to know how many boxes she needs.
she needs 18 boxes.
What is factoring?A polynomial with coefficients in a certain field or in integers is expressed as the product of irreducible factors with coefficients in the same domain in mathematics and computer algebra, which is known as polynomial factorization.
Given
Based on the given conditions, formulate: 8 x = 144
Divide both sides of the equation by the coefficient of variable: x = 144/8 out the common factor: x = 18
To know more about factoring refer to :
https://brainly.com/question/25829061
#SPJ2
Solve the equation - [tex]\frac{w}{5}[/tex] +9=13. What is w?
Answer:
w = -20
Step-by-step explanation:
-[tex]\frac{w}{5}[/tex] + 9 = 13
Shift the (+9) to the other side of the equation. (+9) will turn into (-9).
-[tex]\frac{w}{5}[/tex] = 13 - 9
= 4
Shift the (÷5) to the other side of the equation. (÷5) will turn into (×5).
-w = 4 × 5
= 20
Multiply both sides of the equation by (-1) so that -w will turn into w.
w = (-1) × 20
w = -20
Car x travels 162 miles in 3 hours: write an equation of the line that describes the relationship between distance and time. Use x for the time in hours and y for the distance in miles
Answer:
A:The equation y=54x describes the relationship
B: y as 216 and x being 4
If a car travels for 0 hours, it will travel 0 mile(s). This means it will pass through the point (0,0)
.Use the slope to move 3 units to the right of the origin and
162 unit(s) up to find the point
(3,162) that can be used to graph the relationship. Step-by-step explanation:
Pls helpooooooooo indeddhelpillgovebrqinlyidkwkek
Answer:
3-7×14 12946.-40
Step-by-step explanation:
mark me as brainliest
What is the midpoint of line segment
A (-3,-5)
B (1,-9)
‾
start overline, A, B, end overline?
2 divided by 1/3 pls
Answer:
6
Step-by-step explanation:
2/ 1/3= 6
Answer:
= 6
Step-by-step explanation:
you can do the keep, switch, flip strategy
keep 2/1, switch division to multiplication, and flip 1/3 to 3
2 x 3 = 6
Please help guys!!!!!!
Answer:I think its 68
Step-by-step explanation:
Answer:
The measure of angle N is 68 degrees.
Step-by-step explanation:
Since this shape is a parallelogram, opposite angles will be equivalent. So to start, set (6x - 2) equal to (4x + 36).
— 6x - 2 = 4x + 36
Next, subtarct the 4x from both sides of the equation as well as add 2 to both sides of the equation an simplify.
— 6x - 4x - 2 + 2 = 4x - 4x + 36 + 2
— 2x = 38
Now, divide both sides of the equation by 2 to find the value of x.
— 2x/2 = 38/2
— x = 19
Finally, substitute 19 for every x in the original equation. Simplify.
— 6(19) - 2 = 4(19) + 36
— 114 - 2 = 76 + 36
— 112 = 112
We now know that these two angles are 112 degrees. If a parallelogram's angles must add up to 360 degrees, then subtract 112 twice from 360 to find the combined total angle measure of N and Q. Then divide that number by 2 to find the measure of N.
— 360 - 112 - 112 = 136
— 136/2 = 68
The measure of angle N is 68 degrees.
10 ( y - 2)
what is the answer
Answer:
10y-20
Step-by-step explanation:
sorry if I am incorrect
Afla suma a trei numere ,stiind ca primul este succesorul numarului 999 ,al doilea este cu 1.872 mai mare ,iar al treilea cat primele doua la un loc.
Answer:
7744
Step-by-step explanation:
Din informațiile furnizate:
Succesorul primului număr 999 = 1000
Al doilea este cu 1872 mai mare= 1872 + 1000 = 2872
Al treilea care sunt primele două împreună = 1000 + 2872 = 3872
∴
Suma celor trei numere = 1000 + 2872 + 3872
= 7744
A scientist teacher murdered $3980 worth of microscopes and dissension kits for the new science lab a total of 38 microscopes and 47 dissension kids were ordered a microscope cost four times as much as a Ascension kit write a system of linear equations that represents the situation what is the cost of each item
Answer:
dang
Step-by-step explanation:
._.
Machine A makes 12.75 ounces of popcorn in 3 minutes. Machine B makes 18 ounces of popcorn in 4 minutes.
If each machine makes popcorn for 10 minutes, will there be enough popcorn for eight 9-ounce bags? Explain.
Answer:
Machine A makes popcorn at a rate of 4.25 ozs per minute (12.75oz/3min).
Machine B makes popcorn at a rate of 4.5 ozs per minute (18oz/4min).
Machine A will make 4.25oz/min * 10minutes = 42.5oz of popcorn after 10 minutes
Machine B will make 4.5oz/min * 10 minutes = 45oz of popcorn after 10 minutes
After 10 minutes there will be a total of 42.5oz (Machine A) +45oz (Machine B) = 87.5oz.
So the answer is: Yes there will be (more than) enough popcorn if both machines make popcorn for 10 minutes.
If the question is wondering how many 9oz bags they can fill: 87.5oz/9oz per bag = 9.7222 bags. The machines can fill 9, 9oz, bags with some popcorn leftover.
Step-by-step explanation:
Machine A makes popcorn at a rate of 4.25 ozs per minute (12.75oz/3min).
Machine B makes popcorn at a rate of 4.5 ozs per minute (18oz/4min).
Machine A will make 4.25oz/min * 10minutes = 42.5oz of popcorn after 10 minutes
Machine B will make 4.5oz/min * 10 minutes = 45oz of popcorn after 10 minutes
After 10 minutes there will be a total of 42.5oz (Machine A) +45oz (Machine B) = 87.5oz.
So the answer is: Yes there will be (more than) enough popcorn if both machines make popcorn for 10 minutes.
If the question is wondering how many 9oz bags they can fill: 87.5oz/9oz per bag = 9.7222 bags. The machines can fill 9, 9oz, bags with some popcorn leftover.
Answer:
Yes
Step-by-step explanation:
Divide 12.75 by 3 to get the amount Machine A makes in 1 minute, 4.25 ounces.
Divide 18 by 4 to get the amount Machine B makes in 1 minute, 4.5 ounces
Multiply 4.25 by 10 for a total from Machine A, 42.5 ounces.
Multiply 4.5 by 10 for a total from Machine B, 45 ounces.
Add 42.5 to 45 totalling 87.5
Eight 9-ounce bags require 72 ounces of popcorn. So if both Machines made a total of 87.5 ounces they would have enough popcorn.
7
Complete the statement. Round to the nearest hundredth if necessary.
39 ft
yd
Answer:
1.7 mi
Step-by-step explanation:
PLZ SOMEONE HELP ME WHAT IS 10 + 10 devided by 10 then subtracted by 0 then + 1000000000
Answer:
10+10= 20/10= 2-0= 2+1000000000= 1000000002
Step-by-step explanation:
Answer:
the answer is 1000000011
Step-by-step explanation:
10+10/10-0
10/10=1
10+1-0
11-0=11
1000000011
Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
Answer:
x^2 + 11x + 24
Step-by-step explanation:
x^2 + 3x + 8x + 24 =
= x^2 + 11x + 24
4x + 6y = 2
-4x+ 4y = -12
Answer: (2,-1)
Step-by-step explanation: I learned this earlier in the year
Combine the like terms for this problem:
За + 9y - 7а - 2y + 6а - Зу
Answer:
2a - 4y
Step-by-step explanation:
Answer:
(3a -7a + 6a) + (9y - 2y - 3y)
2a + 4y is the final answer
Step-by-step explanation:
Help with this question please ASAP!! :)
Answer:
options 1, 3, and 6.
Step-by-step explanation:
on the diagram, ∠2 is in the area of line EA and EG. If you are reading it by letters, ∠GEA is equal to ∠2 because they are in the same area. The last option (6) being ∠AEG, the middle angle is E which is the same as ∠GEA and ∠2.
hope this helps!! :))
student 1 y=-3x+x student 2 y=7x/10 student 3 y=4(2-x) Which students write an equation of a nonlinear function?
Answer:
its 547632
Step-by-step explanation:
cuz yeeeeeeeeee
Given the function f(x) = x2-2, find the average rate of change over the interval -2 sxs 4
Answer:
The correct answer for that is (98)
PLEASE HELP 6TH GRADE