Answer:
x₁ = -1, x₂ = 3Step-by-step explanation:
[tex]4x^2-8x-12=0\\{}\qquad\qquad^{\div4\qquad\div4}\\x^2-2x-3=0\\\\x^2+x-3x-3=0\\\\x(x+1)-3(x+1)=0\\\\(x+1)(x-3)=0\\\\x+1=0\quad\vee\quad x-3=0\\\\x=-1\quad\vee\quad x=3[/tex]
Jose invested $8,000 in an account paying an interest rate of 7 3 8 7 8 3 % compounded daily. Adam invested $8,000 in an account paying an interest rate of 7 7 8 7 8 7 % compounded annually. To the nearest dollar, how much money would Jose have in his account when Adam's money has tripled in value?
Answer:
Jose would have accumulated $23,325.21
Step-by-step explanation:
Giving the following information:
The interest rates are not clear. If they are not correct, replace them in the formulas.
Jose:
Initial investment= $8,000
Interest rate= 7.38 compounded daily.
Adam:
Initial investment= $8,000
Interest rate= 7.78% compounded annually.
Future value= 8,000*3= 24,000
First, we need to calculate the time required for Adam to triple its investment.
n= ln(FV/PV) / ln(1+i)
n= ln(24,000/8,000) / ln(1.0778)
n= 14.66 years
It will take Adam 14.66 years to triple the investment.
Now, the future value for Jose:
FV= PV*(1+i)^n
PV= 8,000
i= 0.0738/365= 0.0002
n= 14.66*365= 5,351 days
FV= 8,000*(1.0002^5,351)
FV= $23,325.21
Jose would have accumulated $23,325.21
Answer:
$23294
Step-by-step explanation:
im smart
deltamath gang
The function f(x) = 2(3.5)x is reflected across the x-axis to create g(x). what is the function definition of g(x)? g(x) = (3.5x) what is the initial value of g(x)? what are the outputs for inputs of –1 and 1 in g(x)? g(−1) = g(1) =
1) The reflected function [tex]g(x)=-2(3.5)^x[/tex] is defined everywhere.
2) Initial value of g(x) or g(0) is 1
3) Value of g(1) is -7
4) Value of g(-1) is -4/7
The given function is:
[tex]y=2(3.5)^x[/tex]
How reflection about the x-axis takes place?We know that when a function is reflected about the x-axis,
y becomes -y while x is unchanged.
So, the reflection of [tex]y=2(3.5)^x[/tex] about x-axis is:
[tex]-y=2(3.5)^x[/tex]
[tex]y=-2(3.5)^x[/tex]
[tex]g(x)=-2(3.5)^x[/tex]
g(x) is an exponential function defined everywhere.
[tex]g(0) =-2[/tex]
[tex]g(1) =-7[/tex]
[tex]g(-1) =-\frac{4}{7}[/tex]
Therefore, 1) The reflected function [tex]g(x)=-2(3.5)^x[/tex] is defined everywhere.
2) Initial value of g(x) or g(0) is 1
3) Value of g(1) is -7
4) Value of g(-1) is -4/7
To get more about reflections visit:
https://brainly.com/question/1976264
Answer:
1. g(x) = -2 (3.5x)
2. -2
3. g(−1) = 0.57
4. g(1) = -7
Step-by-step explanation:
Problem ID: PRABEPM6
Find the area of a square if its side length is:
11/8
Answer:
121/64
Step-by-step explanation:
A= side × side ( side^2)
11× 11= 121
8×8=64
area= 11/8 ×11/8 = 121/ 64
21(2 - x) + 12x = 44
I need y’all to check the steps for me pls I don’t need the answer just the check steps thxs
Answer:
Step-by-step explanation:
21(2 - x) + 12x = 44
42-21x+12x=44
42-9x=44
-42 -42
-9x=2
X=-2/9
Answer:
x = 2/33
Step-by-step explanation:
21 x 2 - 21 x x + 12 x x = 44
42 - 21x + 12x = 44
42 - 33x = 44
-33x = 44 +42
-33x = 86
x = -86/33
PS: I am not sure of the answer, but the steps should be reliable
Round 34.4678 of to two decimals
Answer:
34.47
Step-by-step explanation:
When you need to round it off to the second decimal, you must look at the 3rd decimal place.
In this case, it's 7. If it's a number greater than 5 or 5, you must round off to the next value and if it is less than 5 or 5.
Since it is 7 in the third decimal place, the answer would be 34.47
Answer:
34.47
Step-by-step explanation:
Round to the nearest thousandths place.=> 34.4678 [Unit place is 8, so it will round up.]
=> 34.468
2. Round to the nearest hundredths place.
=> 34.468 [Tens place is 8, so it will round up.]
=> 34.47
Solution :-
34.47
What is the simplified form of this expression?
18 ÷ 6 + 8 × 7 – 12 + 8 × 2
A
62
B
63
C
81
D
146
help asap im being timed
Answer:
the answer is b
Step-by-step explanation:
first i did 18 divided by 6=3
then 8x7=56
3+56=59
59-12=47
8x2=16
47+16=63
Answer:
B.) 63
Step-by-step explanation:
18 divided by 6 = 3
8x7=56
3+56=59
59-12=47
8x2=16
47+16=63
NEED HELP ASAP!!!!!!
A cylinder has a height of 18 meters and a radius of 19 meters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
[tex]\huge\boxed{\sf 20403.72 \ m^3}[/tex]
Step-by-step explanation:
Height = h = 18 m
Radius = r = 19 m
Volume of cylinder:
[tex]= \pi r^2 h\\\\= (3.14)(19)^2(18)\\\\= (3.14)(361)(18)\\\\= 20403.72 \ m^3\\\\\rule[225]{225}{2}[/tex]
Answer:
20403.72
Step-by-step explanation:
Given parameters:
Height of cylinder = 18 meters
Radius = 19 meters
To Find:
Volume of the cylinder = ?
Solution:
The volume of cylinder is given as;
Volume = π r ² h
18(3.14)19^2= 20403.72
[RevyBreeze]
40x - 20x - 20(blank-blank)
Answer:
=20x-20
Step-by-step explanation:
40x-20x=20x
20x-20
=20x-20
Name hypothesis and conclusion. Write converse.
1) When my clothes are dirty, then I have to do laundry
Help solve the circle
Answer:
b
Step-by-step explanation
because u add z with b divided by 37
Which would give you a more precise measurement: a pressure gauge that measured in pounds or a pressure gauge that measured in tenths of pounds?
Answer:
Tenths of pounds would be more accurate
Step-by-step explanation:
HOW MANY BURGERS CAN BE MADE WITH 1 BILLION COWS ( 1,000,000,000) ????
each cow can make 1,200 burgers
Answer:
You can make 1200000000000 burgers with a billion cows
Step-by-step explanation:
1200X1000000000=1200000000000
Pls answer the question attached.
I WILL MARK U BRAINLIST
Answer:
First, we will find the coordinates of ABCD:
A: (1,1)
B: (1,4)
C: (4,6)
D: (5,3)
Now we will find the coordinates of PQRS:
P: (5,5)
Q: (8,6)
R: (7,4)
S: (7,2)
Have a great day!!
Pleas rate and mark brainliest!!
To find a coordinate of a vertice, we see the point that the x axis and the y axis intersect. And it's written in the form of (x;y - x axis first, y axis second)
Polygon 1 :
B vertice : (1;4)
A vertice : (1;1)
C vertice : (4;6)
D vertice : (5;3)
Polygon 2 :
P vertice : (5;5)
Q vertice : (8;6)
R vertice : (7;4)
S vertice : (7;2)
Convert 15 years into weeks.
Explain please.
Answer:
15 years = ?
1 year = 52 weeks
Therefore 15 years = 15 years ÷ 1 year × 52 weeks= 780 weeks
A new song has gone viral on the Internet. The website hosting the song uses the function f(t) = 2002t^2 to represent the number of daily hits over time, where t is time in days. Use the function to predict the day on which the number of daily hits reaches 1,000,000.
After 22 days and 8 hours (0.349×24 hours) and 22 minutes (0.376×60 minutes) and 34 seconds (0.56×60 ≈ 34), the number of daily hits reaches 1,000,000.
It is given that the website hosting the song uses the function:
[tex]\rm f(t) = 2002t^2[/tex] to represent the number of daily hits over time, where t is time in days.
It is required to predict the day on which the number of daily hits reaches 1,000,000.
What is a function?It is defined as a special type of relationship and they have a predefined domain and range according to the function.
We have a function:
[tex]\rm f(t) = 2002t^2[/tex]
When f(t) = 1,000,000 then what will be the value of 't'
Simply:
[tex]\rm 1,000,000 = 2002t^2\\\rm 499.500 = t^2\\\rm \sqrt{499.500} = t\\\rm t = 22.349\ Days[/tex]
t = 22 days and 8 hours (0.349×24 hours) and 22 minutes (0.376×60 minutes) and 34 seconds (0.56×60 ≈ 34).
Thus, after 22 days and 8 hours (0.349×24 hours) and 22 minutes (0.376×60 minutes), and 34 seconds (0.56×60 ≈ 34), the number of daily hits reaches 1,000,000.
Learn more about the function here:
https://brainly.com/question/5245372
The day on which the number of daily hits of the considered song for the specified website reaches 1,000,000 is 23rd day.
How to evaluate a given mathematical expression with variables if values of the variables are known?You can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.
So, suppose the day is t = d (dth day from the launch of the song) on which the daily hits reaches 1,000,000.
Then, evaluating the function [tex]f(t) = 2002(t^2)[/tex] at t = d should give us 1000000
Putting it, we get:
[tex]f(d) = 1000000\\2002(d^2) = 1000000\\\\\text{Dividing both the sides by 2002}\\\\d^2 = \dfrac{1000000}{2002}\\\\d = \sqrt{\dfrac{1000000}{2002}}\approx 22.35[/tex]
So after 22th day, ie on 23rd day (as 22.35 = 22 + 0.35 which shows 23rd day is still not completed) of the launch of the song, the number of daily hits reaches 1,000,000.
Thus, the day on which the number of daily hits of the considered song for the specified website reaches 1,000,000 is 23rd day.
Learn more about evaluating a function at a value here:
https://brainly.com/question/2753269
My bill is $20 more than Alex’s bill, A. Jessica’s bill is the same amount as mine, which is twice the amount of Alex’s bill.
Answer:
Step-by-step explanation:
Alex's bill=A
Total cost=T
So your bill is T=20+A
Jessica's bill is the same as your bill
If Alex's bill=A, we multiply it by 2 and our answer is
T=2A
A construction company needs to remove 4 3/4 tons of dirt from a construction site. they can remove 5/6 tons of dirt each hour. What os the total number of hours will take to remove the dirt? ( write your answer as a mixed number in simplest form )
Answer:
5.7 hours
Step-by-step explanation:
Divide 4 3/4 by 5/6 hope this helps! :)
If someone were unable to pay cash right now, which financing option would be best for the laptop and for the refrigerator? rent-to-own; installment installment; rent-to-own rent-to-own; rent-to-own save up and pay cash
The lowest is the cash price for other options, you have to pay more for a laptop and refrigerator. Then the suitable method is to save up and pay cash.
What is decision-making?The process of making choice is by identifying the correct decision, gathering information, and assessing alternative solutions.
If someone were unable to pay cash right now then the suitable method will be
For laptop:
Rent to own payments will be
$150 each month for 12 months, then the total becomes
⇒ 150 × 12 = $1800
The installment plan will be
$100.83 each month for 12 months, then the total becomes
⇒ 100.83 × 12 = $1209.96
The cash price is $1000. So, the lowest is the cash price for other options you have to pay more.
For refrigerator:
Rent to own payments will be
$140 each month for 12 months, then the total becomes
⇒ 140 × 12 = $1680
The installment plan will be
$80.67 each month for 12 months, then the total becomes
⇒ 80.67 × 12 = $968.04
The cash price is $800. So, the lowest is the cash price for other options you have to pay more.
More about the decision-making link is given below.
https://brainly.com/question/3369578
Some pls explain this to me ((number 5))
Answer:
MP ⊥ LO ⇒ proved
Step-by-step explanation:
In the given figure
∵ m∠LPM = m∠MNO ⇒ given
∵ m∠MNO = m∠MPO ⇒ given
→ If the measure of an angle equals the measures of another two
angles, then the two angles must be equal in measures
∴ m∠LPM = m∠MPO ⇒ proved
∵ P ∈ line LO
∵ ∠ LPM and ∠MPO are adjacent angles
∴ ∠LPM and ∠MPO formed a pair of linear angles
→ The measure of the linear pair angles is 180°
∴ m∠LPM + m∠MPO = 180°
∵ m∠LPM = m∠MPO
→ That means the measure of each one is 180° divided by 2
∴ m∠LPM = m∠MPO = 180° ÷ 2
∴ m∠LPM = m∠MPO = 90°
∵ MP intersect LO at P and formed right angles at P
→ That means MP is perpendicular to LO
∴ MP ⊥ LO ⇒ proved
45 POINTS WILL BE MARKED BRAINLIEST IF ANSWERED CORRECTLY!!!!!
Rewrite the following as the square of a binomial if possible
x^2+x+y^2
Answer:
(x + y)^2 - 2xy
whats the medain range and mean for the numbers 36,4,40,11,9,12,8,4,16
Answer:
mean 15 5/9, medain 11
Step-by-step explanation:
6
Answer:
How much
Jan borrowed $1,200 at 11.5% interest for three months.
does she have to repay under a single-payment plan?
a. $13
b. $1,238.50
c. $1,246
d. $1,234.50
Answer:
Step-by-step explanation:
First, convert percent to decimal:
11.5% = 0.115
Multiply by amount borrowed:
0.115*1200= 138
Multiply interest amount per month (138) by 3
138*3 =$414.00 interest
1242.
There are about 1.61 kilometers in 1 mile. Let LaTeX: xx represent a distance measured in kilometers and LaTeX: yy represent the same distance measured in miles. Write two equations that relate a distance measured in kilometers and the same distance measured in miles.
Answer:
1.61 x km= y miles
x km= y/ 1.61 miles
Step-by-step explanation:
Let x represent the distance in Kilometers and y represent the distance in miles then
1.61 x km= y miles
Now if we have 5 miles then
1.61(5) km = 5miles
8.05 km = 5 miles
Similarly if we want to express 1 km in miles the equation would be
x km= y/ 1.61 miles
So for 5 km the miles would be
5 km = 5/1.61 miles
5 km = 3.1055 miles
Can someone please help me asap? I’ll mark brainlist!!!
Multiply the price by 40%
700 x 0.40 = 280
40% off would be $280, which is greater than $150
40% off is the better price.
Answer:
40% off is the better price
Step-by-step explanation:
Find out what 40% off $700 is, so you can compare the two offers: 40% × 700 = $280$280 is more than $150, so 40% is the better deal.I hope this helps!
Last year a baseball team paid $20 per bat and $12 per glove, spending a total of
$1040. The team bought a total of 72 bats and gloves combined. How many bats and
gloves did they buy?
Answer:
2,664
Step-by-step explanation:
I just multiplied 20 and 17 by 72 and added the products together to get a sum of 2,664 which is the answer.
Why it take much longer time ghan the time calculated
Answer:
for what bro
Step-by-step explanation:
please mark me as brainlest
please help me to understand
Answer:
x = 57
Step-by-step explanation:
1. Look at the expression (x + 22). It's measurement the upper side of the lines. We know that if we add up all sides, we will get a full circle, or a value of 360. We know that if I extend the blue line to the left on the upper parallel line, it would equal 180 degrees.
We can express this as x + 22 = 180. Now lets look at the bottom equation, notice that the 2x - 13 is the missing side of x + 22. So we know:
x + 22 + 2x - 13 = 180
3x + 22 - 13 = 180
3x + 9 = 180
3x = 171
x = 57
2. We can check this by plugging it into our formula. x + 22 and 2x - 13. so 57 + 22 = 79 and 2(57) - 13 = 101. Add them together: 79 + 101 = 180.
3. We know this is true because both angles combined will be to form 180 degrees. For a better understanding, view the image I sent you. 1 = 3, and 4 = 2. Opposite angles are equal. In your equation, we have 3 and 8. we KNOW that 8 = 2. And we also know that adding up 2 + 3 MUST equal 180 degrees.
I hope this helps!
Solve.
Find the circumference of a circle with a diameter of
5 inches. Give the answer in terms of pi
Answer:
C=Circumference
C= pi x 5 (the diameter).C= 15.70795 round this number to the nearest tenth.when rounded you get your answer of [tex]15.7in[/tex]Hope this helps
True or False:
If you multiply the numerator, you have to multiply the denominator by the SAME number.
Answer:
True
Step-by-step explanation: