Answer:
5x+16
Step-by-step explanation:
2(x + 6) + 3x + 4
Distribute
2x+ 2*6 + 3x+4
2x+12 + 3x+4
Combine like terms
2x+3x +12 +4
5x+16
Answer:
5x+16
Step-by-step explanation:
Aaron invested $570 in an account paying an interest rate of 7% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest dollar, would be in the account after 8 years?
Answer:
The amount of money that would be in the account after 8 years is approximately $998
Step-by-step explanation:
The given parameters for the compound interest investment are;
The amount Aaron invested = $570
The interest rate of the investment = 7%
The mode of compounding of the interest = Continuously
The number of years the amount is invested = 8 years
For a compounded continuously interest rate, we have;
[tex]A = P \cdot e^{r \cdot t}[/tex]
Where;
A = The future value =The amount realized from the investment after the time of investment
P = The initial value = The principal amount invested
e = Euler's number = Mathematical constant
r = The interest rate = 7%
t = The time of investment = 8 years
Therefore, by substituting the known values, we have;
[tex]A = 570 \times e^{0.07 \times 8} \approx 997.883325[/tex]
The amount of money that would be in the account after 8 years to the nearest dollar = The future value of the investment = A ≈ 998
The amount of money that would be in the account after 8 years to the nearest dollar ≈ $998.
Find the roots of the following factored quadratic equation.
y= (2x-9) (7x-4)
Answer:
x = 4.5, 4/7
Step-by-step explanation:
To find the roots of a factored equation you need to set the y value at 0, that way you can solve for x. Once you solve for x you get two quantities, which can be graphed. These two quantities are where the x intercepts are.
there are 60 people in a choir
half of the people in the choir are women
the number of women in the choir is 3 times the number of men in the choir
the rest of the people in the choir are children
the number of children in the choir :the number of men in the choir =n:1
work out the value of n
Answer:
The value of n is 2.
Step-by-step explanation:
The total number of people in the choir = 60
Number of women in the choir = 30
Let the number of men in the choir be represented by x, so that;
Number of women = 3x
So that;
3x = 30
x = [tex]\frac{30}{3}[/tex]
= 10
The number of men in the choir is 10.
the number of children in the choir: the number of men in the choir = n:1
number of children in the choir = 60 - (number of women + number of men)
= 60 - 40
= 20
number of children in the choir = 20
Thus,
the number of children in the choir: the number of men in the choir = 20:10
= 2:1
The value of n is 2.
Answer:
20 men in the choir and 40 children
Step-by-step explanation:
A 50% DISCOUNT IF THE SWAETSHIRT COST $64.75, HOW MUCH DID ADAM PAY ROUNDED TO THE NEASRT HUNDERTHS
The scale drawing of a building measures 3 in. by 5 in. The scale is ¼ in = 2 feet. What is the area of the actual building?
Answer:
24ft. by 40ft
Which is an irrational number
Answer:
D
Step-by-step explanation:
Because pi never ends.
Hence, D (π) is a irrational number.
what is the equation of the line in the graph?
Answer:
y=-1x-2
Step-by-step explanation:
hope it helps ^^
Answer:
y = -x - 2
Step-by-step explanation:
Since we have a straight, linear line, the line follows the y = mx + b format
The line moves one unit down for every unit to the right, making m = 1
Since the line has a downward slope, m = -1
Since the line crosses the y-axis at -2, b = -2
Therefore, the equation is y = -1x - 2 or more simplified, y = -x - 2
I WILL GIVE BRAINLIEST TO CORRECT ANSWER
-x<-x+7(x-2)
Answer:
x>2
Step-by-step explanation:
0<7x-14
-7x<-14
x>2
hope that's right
Answer:
x > 2
Step-by-step explanation:
-x < -x+7(x-2)
0 < 7(x-2)
0 < x-2
x > 2
(edited)
There are 1,200 bacteria in a lab dish. The population decreases 10% per day. Compare the decrease in the population for days 1 to 3 with the decrease for days 4 to 6.
Complete the sentence with “more quickly,” “less quickly,” or “at
the same rate.”
The population decreases [ Select ] from day 1 to day 3 than from day 4 to day 6.
The population decreases more quickly from day 1 to day 3 than from day 4 to day 6.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
The total number of bacteria in lab dish is 1200
The population decreases 10% per day
In first day:
10/100×1200=120
120 bacteria decreased in lab
1200-120=1080
In second day:
0.1×1080=108
1080-108=972
In third day
0.1×972=97.2
972-97.2=874.8
In fourth day
0.1×874.8=87.48
874.8-87.48=787.32
In fifth day
0.1×787.32=78.732
787.32-78.732
708.588
The population decreases more quickly from day 1 to day 3 than from day 4 to day 6.
Hence, the population decreases more quickly from day 1 to day 3 than from day 4 to day 6.
To learn more on Percentage click:
brainly.com/question/28269290
#SPJ1
express the following ratio in their simplest form 45cent: $2.25
Answer:
$1.80
Step-by-step explanation:
i had this question
The polynomial in standard form that represents the perimeter of the quadrilateral 
Answer:
3(4x-1)
Step-by-step explanation:
I hope this is correct and helpful
Line n is perpendicular to the y-axis. If the line contains point (0, -4), what is the equation of line n ?
Answer:
y=0x - 4
Step-by-step explanation:
perpendicular to the y-axis means parallel to the x-axis.
that would be a horizontal line and they have no slope. so m=0
(0, -4) is the y-intercept since the y intercept is when x is zero.
b=-4
y=mx+b
y=0x - 4
What is the slope of a line parallel to the line whose equation is y=3x + 4?
Answer:
The slope of any line parallel to y=3x+4 would be 3!
Step-by-step explanation:
When lines are parallel, they always have the same slope!
When lines are perpendicular, the slope would be the negative reciprocal!
I hope this helps!
HELP! I’ll MARK BRAINLIEST
contestants indoor run-and-bike-a-thon run for a specified length of time, then bike for a specified length of time. Jason ran at an average speed of 5.2 mi/H and biked at an average speed of 20.2 mi/H, go in a total of 14.6 miles. Seth ran at an average speed of 10.4 mi/H and bite at an average speed of 18.8 mi/H, going a total of 17.8 miles. For how long do contestants run and for how long do they bike? Round to the nearest hundred if necessary.
Answer:
they ran 5 and 2 and half hour
Step-by-step explanation:
they ran 5 and 2 and half hour
Rewrite 4% as a decimal.
Answer:
0.04
Step-by-step explanation:
Answer:
0.04
Step-by-step explanation:
simple math the 4 is in the ones place
A small box holds 20 shirts. A large box holds 165% as many shirts as than a
small box. How many shirts does the large box hold?
Answer:
33 shirts
Step-by-step explanation:
100% of 20 = 20
65% of 20 = 13
total = 33
Gwen walked a total of 6 kilometers by making 2 trips to school. After 3 trips to school, how
many kilometers will Gwen have walked in total? Assume the relationship is directly
proportional
Answer:
9 km
Step-by-step explanation:
If Gwen were to walk 3 km for every trip she takes, she would walk 6 km on the second trip and 9 km on the third trip.
6x-2y=156.......(1)
X - y=18.........(2)
(1)-2×(2 )
How will you go about it
Answer:
Step-by-step explanation:
(1) 6x-2y=156
2×(2) ; 2(x-y=18)
;2x-2y=36
from (1)-2×(2)
is 6x-2y=156 -
2x-2y=36
4x=120
x=30
from (2)
x-y=18
x-18=y
y=30-18
y=12
Subtract 5x2 – 2x – 5 from -2x2 – 5x – 7.
-2x^2 - 5x - 7 - (5x^2 - 2x - 5) -- Set up the equation and distribute the negative
-2x^2 - 5x - 7 - 5x^2 + 2x + 5 -- Combine like terms
-7x^2 - 3x - 2 -- Answer!
Hope this helps!! :)
Please help me with this question
Step-by-step explanation:
y-intercept in the point x = 0
B) is the easiest
g(x) or y value
g(x) = 3x² + 6x -9
= 3(0)² + 6(0) -9
= 0 + 0 -9
= -9
y-intercept = (0,-9)
) What are the solutions of -1<=x-3<4 ?
Choose the definition for the function.
Answer: C
Step-by-step explanation:
Given: CD = 1, and
Find the elements of D.
a
a =
-2 4 1
C = 1 0 3
- 2 3 -1
»E
a b
D= d e
19
h
f
i
b=
CE
d=
DIUIIIII
e =
f =
g=
h =
Answer:
1, and Find the elements of D. a a = -2 4 1 C = 1 0 3 - 2 3 -1 »E a b D= d e 19 h f ... - did not match any documents.
Suggestions:
Step-by-step explanation:
1, and Find the elements of D. a a = -2 4 1 C = 1 0 3 - 2 3 -1 »E a b D= d e 19 h f ... - did not match any documents.
Suggestions:
Answer:
a=-9
b=7
c=12
d=-5
e=4
f=7
g=3
h=-2
i=-4
Step-by-step explanation:
Don't forget to add the negative signs on a, d, h, and i
Edg 2020-2021
Rewrite the explicit formula in function form. The identify the y
intercept of the function.
an = 9-3(n-1)
Answer: y-intercept: (0, 12)
Step-by-step explanation:
[tex]a_n[/tex] = 9 − 3 (n − 1)
Use the slope-intercept form to find the slope and y-intercept.
The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
y = mx + b
Find the values of m and b using the form y = mx + b.
m = −3
b = 12
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: −3
intercept: (0, 12)
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.
Find the x-intercept.
To find the x-intercept(s), substitute in 0 for y and solve for x.
0 = −3x + 12
Solve the equation.
Rewrite the equation as −3x + 12 = 0.
−3x + 12 = 0
Subtract 12 from both sides of the equation.
−3x = −12
Divide each term by −3 and simplify.
x = 4
x-intercept(s) in point form.
x-intercept(s): (4, 0)
Find the y-intercept.
To find the y-intercept(s), substitute in 0 for x and solve for y.
y = −3 ⋅ 0 + 12
Solve the equation.
Remove parentheses.
y = −3 ⋅ 0 + 12
Simplify −3 ⋅ 0 + 12.
y = 12
intercept(s) in point form.
intercept(s): (0, 12)
Create a table of the x and y values.
x | y
0 | 12
4 | 0
Graph the line using the slope and the y-intercept, or the points.
Slope: −3
intercept: (0, 12)
Which equation is a function of x?
O x=5
O x = {²+9
O x2 = 12 +16
Two fifths of the candies in a bag are mint. There are 34 mint candies.
How many candies in total are in the bag? hint: 34x=34
Enter your answer in the box.
85 candies
Step-by-step explanation:
1 fifth of the bag is 17 so 5 fifths is 85
Answer:
85 candy
Step-by-step explanation:
i took test
what number is one hundred more than 890
Answer:
990
Do 100+890
its simple math
The number that is one hundred more than 890 would be,
⇒ 990
The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that,
To find a number that is one hundred more than 890.
Let us assume that,
The number that is one hundred more than 890 = x
Hence, it can be written as,
⇒ x = 890 + 100
Solve for x,
⇒ x = 990
Therefore, the number that is one hundred more than 890 = 990
To learn more about the addition visit:
https://brainly.com/question/25421984
#SPJ6
2x - 4y = 9, What is it you need to know to be able to solve this problem?
Answer:
What X and Y equal to.
Answer:
you need to know math, and some more math. thats really the answer
Step-by-step explanation:
Wyatt has 32 marbles in his collection. Twenty of his marbles are red, four are blue, and the
rest are green. What part of Wyatt's marbles are red?
Answer:
6 and 2/5
Step-by-step explanation:
20% of 32 is 6.4
19. Find the measurement
HELP ME!!!! ASAP!!
Answer:
144
Plzzzzz give me Brainliest!!!!!