X=1/10 (X^2+21)
Hope this helped!
x^2 - 10x + 21 = 0
Add both sides 4
x^2 - 10x + 21 + 4 = 0 + 4
x^2 - 10x + 25 = 4
( x - 5 )^2 = 4
___________________
1 ) x - 5 = 2 ==》 x = 7
2 ) x - 5 = - 2 ==》 x = 3
Suppose $600 is deposited into an account every quarter. The account earns 5% interest, compounded quarterly. What is the future value of the account
after 5 years?
Answer:
$13,537.79
Step-by-step explanation:
The future value of the account after 5 years will be 762 dollars.
What is compound interest ?Compound interest is calculated for the principle borrowed as well as previous interest accumulated.
According to the given question 600 dollar is deposited in an account at 5 % interest compounded quarterly for 5 years.
Given, Principle(P) = 600, Rate(r) = 5 %, Time in years(n) = 5.
We know the formula for Amount(A) compounded quarterly is
A = P[ 1 + (r/4)/100)]⁴ⁿ.
A = 600[ 1 + (5/4)/100]⁴ⁿ.
A = 600[ 1 + 1.2/100]⁴ˣ⁵
A = 600[ 1 + 0.012]²⁰.
A = 600[ 1.012]²⁰.
A = 600(1.27).
A = 762 dollars.
learn more about compound interest here :
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Please please i need help
HELP IM LATE ON THIS! I WAS SUPPOSED TO DO IT YESTERDAY BUT IT WAS RAINING AND MY POWER WENT OUT!
Answer: 1/3 quart
Step-by-step explanation: since they both have the same denominator, you can just do 5-2=3. that gives you 3/9, which can be simplified by dividing both the numerator and denominator by 3 which equals 1/3.
Find the volume of a cylinder with a radius of 6cm and height of 8cm
Answer: 904.779
Step-by-step explanation:
v = pi x radius^2 x height
Answer:
904.78 cm^3
Step-by-step explanation:
The formula for volume of a cylinder is V = π r^2 h, and when you plug in your measurements you get the equation V = π × 6^2 × 8, which equals 904.78 cm^3
1. Zoey took a taxi from her house to the airport. The taxi company charged a pick-up fee of $1.20 plus $3.25 per mile. The total fare was $40.20, not including the tip. Write and solve an equation which can be used to determine xx, the number of miles in the taxi ride.
Equation:
Answer: xx =
equation:3.25x+1.2=40.2
ansrew:x=12
PLEASE HELP!!!! I WILL GIVE 50 POINTS!!!
IT IS THE DOCUMENT BELOW PLEASE
The answer is
S .For many reasons
Therefore,
Find the center and radius of this circle: (x + 9)2+(y - 6)2= 25 Center = (-9,6) Radius = [?]
I have the center but how do I get the radius
Answer:
5
Step-by-step explanation:
Will give brainly to whoever actually answers
Please please help me
Which of the following are true about essential questions?
An essential question helps to guide the research.
An essential question uses information to answer an evidence-based claim.
An essential question should be clear and of interest to the writer.
An essential question is developed into a thesis statement.
A recipe includes 6 cups of flour and 3 cup of shortening. Write the ratio of the amount of flour to the amount of shortening as a fraction in simplest form
Answer:
2 cups of flour : 1 cup of shortening
Step-by-step explanation:
So lets gather our information.
We know it takes 6 cups of flour for the reciepe.
We also know it takes 3 cups of shortening.
To find the ratio, put the two number values in a fraction:
cups of flour/cups of shortening
=
6/3
This says for 6 cups of flour, there are 3 cups of shortening
We can simplyfy this to:
2/1
This says for 2 cups of flour, there is 1 cup of shortening.
Answer:
2/1
Hope this helps! ;)
If test scores of 65 and 75 were added to the set, what would happen to the mean of 75,95,90,95,60,95,75,95,90
Answer:
82.7
Step-by-step explanation:
Answer: the answer is that the mean would become smaller.
Step-by-step explanation: if you have the original 9 values, the mean is 85.5 repeating. Adding 65 and 75 to the data set changes the mean to 82.72 repeating.
Hope this helps! Please give brainliest ;)
convert 23pi/12 into degrees
Answer:
Step-by-step explanation:
23 x 180/ 12 = 345°
Column I Column II Sin-1 1 / a. The number in Column I is greater. b. The number in Column II is greater. c. The two numbers are equal. d. The relationship cannot be determined using the given information.
Answer:
Col6umn is Column3 so Colum1n is Colum6n so=Column is Column2
Step-by-step explanation:4
Find the angle between u=
= (8,- 2) and v= (9,3). Round to the nearest tenth of a degree.
A 32.5
B 6.3
C 42.5
D 16.3
Answer:
the angle between u=(8, -2) and v=(9,3) is 32.5°
Step-by-step explanation:
u=(8,-2)=(u1,u2)→u1=8, u2=-2
v=(9,3)=(v1,v2)→v1=9, v2=3
We can find the angle between two vectors using the formula of dot product:
u . v =║u║║v║cos α (1)
And the dot product is:
u . v = u1 v1 + u2 v2
u . v = (8)(9)+(-2)(3)
u . v = 72-6
u . v = 66
║u║=√(u1²+u2²)
║u║=√((8)²+(-2)²)
║u║=√(64+4)
║u║=√(68)
║u║=√((4)(17))
║u║=√(4)√(17)
║u║=2√(17)
║v║=√(v1²+v2²)
║v║=√((9)²+(3)²)
║v║=√(81+9)
║v║=√(90)
║v║=√((9)(10))
║v║=√(9)√(10)
║v║=3√(10)
Replacing the known values in the formula of dot product (1):
u . v =║u║║v║cos α
66 = 2√(17) 3√(10) cos α
Multiplying:
66 = 6√((17)(10)) cos α
66 = 6√(170) cos α
Solving first for cos α: Dividing both sides of the equation by 6√(170):
Simplifying: Dividing the numerator and denominator on the left side of the equation by 6:
(66/6)/(6√170/6)=cosα→11/√170=cosα→cosα=11/√170
cosα=11/13.03840481→cosα=0.84366149
]
I need help! Please no link answer :(
Answer:
B. 30
Step-by-step explanation:
Given.:
m<4 = 2x°
m<5 = 4x°
Required:
Value of x
Solution:
<4 and <5 are angles in a straight line, therefore:
m<4 + m<5 = 180°
Substitute
2x + 4x = 180°
6x = 180°
x = 180/60
x = 30
if 3+3 = 9 then 2+2 = what?
Answer:
4
Step-by-step explanation:
3+3 is not 9, but 3x3 is.
So 2+2 is 4
--
hope it helps
Answer:
4 or 6 so sorry if im wrong
If an arrow is shot upward on Mars with a speed of 56 m/s, its height in meters t seconds later is given by y = 56t − 1.86t2.
(a) Find the average speed over the given time intervals.
(i) [1, 2] m/s
(ii) [1, 1.5] m/s
(iii) [1, 1.1] m/s
(iv) [1, 1.01] m/s
(v) [1, 1.001] m/s
(b) Estimate the speed when t = 1. m/s.
Answer: (a) (i)50.42 m/s (ii) 51.35 m/s (iii) 52.094 m/s (iv) 52.2614 m/s (v) 52.27814 m/s
(b) 54.14 m/s
Step-by-step explanation:
The average speed over the given time interval [a,b]: = [tex]\frac{y(b)-y(a)}{b-a}[/tex]
Given: If an arrow is shot upward on Mars with a speed of 56 m/s, its height in meters t seconds later is given by [tex]y = 56t − 1.86t^2.[/tex]
(a)
(i) average speed = [tex]\frac{y(2)-y(1)}{2-1}[/tex]
[tex]=\frac{56(2)-1.86(2)^2-(56(1)-1.86(1)^2)}{1}[/tex]
[tex]=50.42[/tex] m/s
(ii) average speed = [tex]\frac{y(1.5)-y(1)}{1.5-1}[/tex]
[tex]=\frac{56(1.5)-1.86(1.5)^2-(56(1)-1.86(1)^2)}{0.5}[/tex]
[tex]=51.35[/tex]m/s
(iii) average speed = [tex]\frac{y(1.1)-y(1)}{1.1-1}[/tex]
[tex]=\frac{56(1.1)-1.86(1.1)^2-(56(1)-1.86(1)^2)}{0.1}[/tex]
[tex]=52.094[/tex]m/s
(iv) average speed = [tex]\frac{y(1.01)-y(1)}{1.01-01}[/tex]
[tex]=\frac{56(1.01)-1.86(1.01)^2-(56(1)-1.86(1)^2)}{0.01}[/tex]
[tex]=52.2614 [/tex]m/s
(v) average speed = [tex]\frac{y(1.001)-y(1)}{1.001-01}[/tex]
[tex]=\frac{56(1.001)-1.86(1.001)^2-(56(1)-1.86(1)^2)}{0.001}[/tex]
[tex]=52.27814 [/tex]m/s
(b) [tex]y(1)=56(1)-1.86(1)^2[/tex]
[tex]=56-1.86[/tex]
[tex]= 54.14[/tex] m/s
Help me out pls and thanksssss
Which expression is a trinomial?
Answer:
Ans is 2 x square + 2x - 4 because the sign in this ans contains +, - divided into three part. which is trinomial
plz rate 5 star + thanks i need 1 brainliest to reach in expert
One box has 16 apples. Another box has 24 lemons. Each apple weighs twice as much as each lemon. If A is the weight of the apples and B is the weight of the lemons, whats is A/b. I NEED ANSWERS ASAP ASAP SUSSY BAKA
11X - 3/6 = 5 Solve for X
Answer:
X = 1/2
Step-by-step explanation:
What is the value of the interior angle
Answer:
I uploaded the answer to[tex]^{}[/tex] a file hosting. Here's link: bit.[tex]^{}[/tex]ly/3gVQKw3
Step-by-step explanation:
A telephone pole support cable attaches to the pole 24 feet high. If the cable is 30 feet long, how far from the bottom of the pole does the cable attach to the ground?
A. 54 ft.
B. 40 ft.
C. 38 ft.
D. 18 ft.
24.
One leg of a right triangle is 5 inches. The hypotenuse is 9 inches. Find the length of the
second leg.
Answer:
7.48 in.
Step-by-step explanation:
Given :-
One leg of a right triangle is 5 inches. The hypotenuse is 9 inches.And we need to find out the second leg. So here we can use the Pythagoras Theorem , which establish the relationship between the sides of a right angled triangle. As ,
[tex]:\implies[/tex] p² + b² = h²
[tex]:\implies[/tex] 5² + b² = 9²
[tex]:\implies[/tex] 25 + b² = 81
[tex]:\implies[/tex]b² = 81 -25
[tex]:\implies[/tex] b² = 56
[tex]:\implies[/tex] b = 7.48 in
Hence the measurement of second leg is 7.48 inches .
Type the data that you collected (shown right) into the regression calculator. Be sure to choose a good window setting! The data show that the population of lily pads has growth rate.
The next answer is "an exponential."
Step-by-step explanation: The answers after that are 3.195 and 1.106
Answer: first part: an increasing
Second part: An exponential
Third part: 3.915, 1.106
Step-by-step explanation: i just did it
A salesperson recieved a 3% commission on sales. The salesperson recieved 180 in commission. What is the amount of sales?
Expand and Simplify 4(g + 5) + 3(g – 2)
Help me pls becks or anyone I need to pass
Answer:
area of 105° segment = 74.2 in²
Step-by-step explanation:
area of entire circle = πr² = (3.14)(9²) = 254.34 in²
area of 105° segment = (105/360)(254.34) = 74.2 in²
Solve the following IBVP
Answer:
b or c
Step-by-step explanation:
Brian had 42 class fare tickets to sell he sold 5/6 of the tickets. How many tickets did Brian and sell.
Answer:
35
Step-by-step explanation:
What do coordinate pairs on the graph of a straight line represent?
This is middle school math
it represents a origin on the plane