The square root of 74 rounded to the nearest tenth is gotten as; 8.6
How to find the Square root of a number?
We want to find the square root of 74.
This square root of 74 is expressed as;
√74
Now, the value of that square root is;
√74 = 8.6023
Now, we want to approximate to the nearest tenth and thus we will have the approximation as; 8.6
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The amount of money in an account may increase due to rising stock prices and decrease due to falling stock prices. Marco is studying the change in the amount of money in two accounts, A and B, over time.
The amount f(x), in dollars, in account A after x years is represented by the function below:
f(x) = 1,264(1.09)x
Part A: Is the amount of money in account A increasing or decreasing and by what percentage per year? Justify your answer. (5 points)
Part B: The table below shows the amount g(r), in dollars, of money in account B after r years:
r (number of years) 1 2 3 4
g(r) (amount in dollars) 1,375 1,512.50 1,663.75 1,830.13
Which account recorded a greater percentage change in amount of money over the previous year? Justify your answer. (5 points)
Exponential functions can either represent growth or decay.
Part A:
The function is given as:
[tex]f(x) = 1264(1.09)^x[/tex]
The above function is an exponential function.
An exponential function is represented as:
[tex]f(x) = ab^x[/tex]
Where b represents the rate.
When b > 1, then the function is increasing
By comparison:
[tex]b = 1.09[/tex]
1.09 is greater than 1
Hence, the amount of money in account A is increasing.
Part B:
Divide any two concurrent values on the table, to determine the rate of the table.
So, we have:
[tex]b = \frac{1512.50}{1375}[/tex]
[tex]b = 1.10[/tex]
By comparison:
1.10 is greater than 1.09 (the rate of account A).
Hence, account B records a greater percentage change in the amount of money
Read more about exponential functions at:
https://brainly.com/question/11464095
A. because b > 1, the function is increasing, so the amount of money in account A is increasing.
B. 1.10 is greater than 1.09, so account B has more percentage change in the amount of money
HELP ME ASAP!!!!!!!!!!
Answer:
2x - 9
Step-by-step explanation:
let the number be x then multiplying by 2 is 2x , so
2x - 9 ← algebraic expression
What time is three hours and 30 minutes after 6:30 am
The answer is 10:00 am
add 3 to 6 then add the 30 minutes to the 30 minutes which equals another hour
20x+75=35x+30 help
Is due tomorrow
Answer:
[tex]x[/tex] = [tex]3[/tex]
Step-by-step explanation:
Use an Algebra Calculator
answer is x=3 , formula is in the attachment
Find the equation of the line that passes through (-1,2) and is perpendicular to
y
=
1
−
2
x
.
Leave your answer in the form
y
=
m
x
+
c
Answer:
Remember that the slope of perpendicular lines are negative reciprocals of each other.
Step-by-step explanation:
y = 1 - 2x the slope is -2 the value of the x term.
So the slope of the new line using point (- 1, 2) is 1/2.
Now use y = mx + b where y = -1, x = 2, and m = 1/2 .
y = mx + b
-1 = 1/2(2) + b solve for "b", the y-intersect
-1 = 1 + b
-2 = b
The line that is perpendicular to y = 1 - 2x is y = 1/2x - 2
[tex]\sf Helppp! \:29=-8x-3[/tex]
Answer:
29+8x-3=0
Step-by-step explanation:
esto es lo que se esque no se si lo has escrito bien
Answer:
x=-4
Step-by-step explanation:
Switch sides:
−8x−3=29
Add 3 to both sides:
−8x−3+3=29+3
Simplify:
−8x=32
Divide both sides by −8:
−8x/−8 = 32/−8
Simplify again for the result:
x=−4
[tex]\boxed{\sf Answered \: By\: Subhash} [/tex]
[tex]\boxed{\sf Good\: luck \: for \: your \:assignment} [/tex]
Mel bought pizza and soda for her End of Summer party. If she spent $12.57 on the sodas and $10.95 for each pizza, how many pizzas did she buy if she spent $89.22? Which equation models this scenari
The equation that models the situation is: 89.22 = $10.95p + $12.57.
The cost of one pizza is $10.95. The cost of 2 pizzas would be equivalent to the multiplication of $10.95 by 2. Since we are not provided with the information on the total amount of pizza she bought, the total number of pizza bought would be represented with p.
Thus the total cost of p boxes of pizza = $10.95 x p = $10.95p
The total amount spent on sodas is $12.57.
The total amount spent is $89.22.
The equation that models the situation is: 89.22 = $10.95p + $12.57.
A similar question was answered here: https://brainly.com/question/20063434?referrer=searchResults
answer to me this question
Step-by-step explanation:
[tex]3 \frac{1}{2} - 4 \frac{3}{4} = \frac{7}{2} - \frac{19}{4} = \frac{14}{4} - \frac{19}{4} = - \frac{5}{4} [/tex]
True or False
a = 6 is a solution to the inequality below:
a/2 < 4
( The < is underlined)
C = 5/9 × (F – 32)
122°F = °C
Answer:
In Celsius the degree is 50°
Step-by-step explanation:
Put the 122° into the equation given.
M<2 = 4x +6
What is the value of X?
Answer:
Step-by-step explanation: 10 but thanks green guy
Answer:
x = 10
Step-by-step explanation:
The triangle has 2 congruent sides and is therefore isosceles, then the 2 base angles are congruent, both 67°
The sum of the 3 angles is 180° , that is
4x + 6 + 67 + 67 = 180
4x + 140 = 180 ( subtract 140 from both sides )
4x = 40 ( divide both sides by 4 )
x = 10
Can y’all please help?
Answer:
50
Step-by-step explanation:
5x-6=64
x=14
64-14=50
) Which list orders the fractions from least to greatest? A.) ½, ¾, ¼, ⅜ B.) ¾, ½, ⅜, ¼ C.) ¼, ⅜, ½, ¾ D.) ⅜, ½, ¾,
Answer:
I believe the answer is C
u may not understand this but what is 10 g/cm³ a measure of
. is it Volume Mass or density
In how many ways can a committee
of 5 men and 3 women be selected
from 9 men and 7 women ?
Answer：
use the same method
Step-by-step explanation:
Men=5
Women=3
Available Strength:
Men=7
Women=6
Objective:Finding no of such committees where particular 2 women are never together.
So initially ,Total possible number of commitee=7c5×6c3=420.
Now we need to find total committes where two particular women say(Sita and Gita ) are never together.
Approach—->
As the commitee requires 5 men and 3 women.
Let us first find number of committees where Sita and Gita are always together.
Hence we reserve 2 women seats for them.
Now we need one women out of remaining 4 women.
So possible number of such commitees 7c5×4c1.
=84.
Hence number of committees where Sita and Gita are never together
=420–84
=336.
50 POINTS! PLEASE HELP! Which graph represents the solution set of the system of inequalities?
{y≤2x+1 y>−2x−3
Step-by-step explanation:
the second one as the -2x-3 is only on the second one
derivation of trigonometric identities (all 3).
Answer:
Sine, Cosine and Tangent.
Step-by-step explanation:
These are the 3 basic trigonometric identities.
Using the slope of the lines, determine if the lines are PARALLEL, PERPENDICULAR OR
NEITHER
y = 4x - 5
-x + 4y = -8
O Parallel
O Perpendicular
O Neither
10 pts
Step-by-step explanation:
let the first equation be l1 and the second equation be l2
then the product of L1.L2=1 the line is perpendicular and l1=l2 the line is parallel
what is the domain of the fraction
The domain is the set of all x-values in that table:
{ -6, -1, 0, 3}
or
{ x | x = -6, -1, 0, 3 }
I need help understanding how to do this. I can understand the basic idea, I just don't know how to work with letters very well.
Answer:
(etr)^3 , 70f^6g^2h
Step-by-step explanation:
e^2r^2t^3
e^3r^3t^2
LCM=e^3r^3t^3
(etr)^3
10f^2gh
35f^3g^2
LCM= 70f^3g^2h
The number of protons to neutrons in the nucleus of an atom is 5 to 6.If the numbers of protons in the nucleus is 30 then find the number of neutrons
Answer:
36 neutrons
Step-by-step explanation:
The ratio of the protons to neutrons is 5:6, or 5 protons/6 neutrons. You know there are 30 protons, so this means you can set up proportions. Keeping the protons on the top, 5 protons/6 neutrons = 30 protons/x neutrons. You can cross-multiply from here, but how I find it helpful to think of it is seeing that you have to multiply 5 protons by 6 to get to 30 protons, so you'd have to also multiply the 6 neutrons by 6 to get x neutrons. Doing so (6x6) will get you 36. Don't forget your units! (:
What is the answer to this question?
I am confused.
Answer:
y=88 x=42
Step-by-step explanation:
Since the total measurments of one triangle have to equal 180 and one angle is already 50, and the angle on the oppisite side of the y angle is 90 the only logical number for y would be 88. Hope this helped :)
if 3^x = 1, find the value of x.
3x-1=?
maybe 3x-1=5
3x=5+1
3x=6
X=6/3
X=2
Bill baked n cookies. His friends ate 12 of them. Using n, write an expression for the number of cookies that remained.
Answer:
n-12= number of cookies left
Answer:
y=n-12
Step-by-step explanation:
y= how many cookies are left
n = number of cookies
-12 = how many his friends ate
the achievement first family handbook has 235 Pages Ms. Lieberman and print 450 copies of the document for the Middle School Scholars on Monday and 193 copies on Tuesday how many pages were printed in all
Answer:
151,105 pages
Step-by-step explanation:
(450 + 193) copies * 235 pages / copy = 643 copies * 235 pages = 151,105 pages
Caitlin earned $5 for each baby hat she knitted. SHe wanted to make at least $50 before spring break. Which equation best represents this situation?
a. 5x>50
b. 5x<50
c. 5x>_50
d. 5x<_50
Answer:
c. 5x>_50
Step-by-step explanation:
Each hat earns her $5.
x number of hats will earn her 5x.
At least $50 means $50 or more, so it means the same as greater than of equal to 50.
5x >_ 50
Find the binomial expression of
(x-5) (×-5)
Answer:
x^2-10x+25
Step-by-step explanation:
(a+b)^2=a^2+2ab+b^2 so a=x and b=-5 so the expression is x^2-10x+25
Answer:
x^2-10x+25
Step-by-step explanation:
Distribute
(x-5)(x-5)
x(x-5)-5(x-5)
Distribute again
x(x-5)-5(x-5)
x^2-5x-5(x-5)
Distribute one last time
x^2-5x-5(x-5)
x^2-5x-5x+25
combine like terms
x^2-5x-5x+25
x^2-10x+25
Sixty tickets at $50 each cost
Answer:
$3000
Step-by-step explanation:
1 ticket = $50
Therefore, 6 ticket = 6x50
=$3000
[tex]A(4,5) and B (3,4)\\[/tex]Find distance betweentwo points A(4,5) and B (3,4)
Answer:
√2
Step-by-step explanation:
given points are,
A = (4,5)
B = (3,4)
we know,
D = √(x_2 - x_1)² + (y_2 - y_1)²
→ √(3-4)² + (4-5)²
→ √(-1)² + (-1)²
→ √1 + 1
→ √2
therefore, distance between A and B is √2.
hope this answer helps you dear...take care and may u have a great day ahead!
3х – 8y = — 16
=
M
So yeah I kinda need help
Answer:
3x-8y-16 = 0
Step-by-step explanation: