Given :
When Colby was born, his parents invested $1,000 in a fund that paid an
annual interest of 8%.
To Find :
How old will Colby be when the investment is worth at least $4,000 .
Solution :
Let, time taken is x years.
So, the formula is :
[tex]P = A_o + \dfrac{A_o \times r\times t}{100}\\\\4000 = 1000 + \dfrac{1000\times 8\times t}{100} \\\\80t = 3000\\\\t = \dfrac{3000}{80} \ years\\\\t = 37.5\ years[/tex]
Therefore, Colby will be 37.5 years old.
The age of Colby will be [tex]37.5[/tex] years.
Simple interest :The amount after t years is given by,
[tex]A=P+(\frac{P*r*t}{100} )[/tex]
Where P is principal, r is rate and t is time in years.
Given that, [tex]A=4000,P=1000,r=8\%[/tex]
Substitute values in above equations.
[tex]4000=1000+\frac{1000*8*t}{100} \\\\\frac{1000*8*t}{100}=3000\\\\t=37.5years[/tex]
Learn more about the investment here:
https://brainly.com/question/25300925
the equation of line L is y=5x+1
Consider the complete question is "The equation of the line [tex]L_1[/tex] is y=5x+1 and the equation of line [tex]L_2[/tex] is 2y-10x+3=0. How can you show that these two lines are parallel?"
Given:
Equation of [tex]L_1[/tex] is [tex]y=5x+1[/tex].
Equation of [tex]L_2[/tex] is [tex]2y-10x+3=0[/tex].
To show:
The these line as parallel.
Solution:
We have,
[tex]y=5x+1[/tex] ...(i)
[tex]2y-10x+3=0[/tex] ...(ii)
Equation (ii) can be written as
[tex]2y=10x-3[/tex]
[tex]y=\dfrac{10x-3}{2}[/tex]
[tex]y=\dfrac{10x}{2}-\dfrac{3}{2}[/tex]
[tex]y=5x-\dfrac{3}{2}[/tex] ...(iii)
Slope intercept form of a line is
[tex]y=mx+b[/tex] ...(iv)
where, m is slope and b is y-intercept.
On comparing (i) with (iv), we get slope of line [tex]L_1[/tex].
[tex]m_1=5[/tex]
On comparing (iii) with (iv), we get slope of line [tex]L_2[/tex].
[tex]m_2=5[/tex]
Since, [tex]m_1=m_2[/tex], therefore, lines [tex]L_1[/tex] and [tex]L_2[/tex] and parallel because slope of two parallel lines are always equal.
Hence proved.
8 + (-10) just confused lol
-7/10 or -0.81 which is greater
Answer:
-0.81 one is greater
Step-by-step explanation:
write an expression where h is doubled then increased by 20%
2h*0.2
2h is h doubled
20% becomes 0.2
A summer camp cookout is planned for the campers and their families. There is room for 200 people. Each adult costs 4, and each camper costs4,and each camper costs3. There is a maximum budget of $750. Write the system of inequalities to represent this real-world scenario, where x is the number of adults and y is the number of campers.
A. \begin{gathered}x + y \leqslant 200 \\ 4x + 3y \leqslant 750\end{gathered}x+y⩽2004x+3y⩽750
B. \begin{gathered}x + y \leqslant 750 \\ 4x + 3y \leqslant 200\end{gathered}x+y⩽7504x+3y⩽200
C. \begin{gathered}x + y \leqslant 200 \\ 3x + 4y \leqslant 750\end{gathered}x+y⩽2003x+4y⩽750
D. \begin{gathered} x + y \leqslant 750 \\ 3x + 4y \leqslant 200\end{gathered}x+y⩽7503x+4y⩽200
Answer:
Option A
The system of inequalities
x + y ≤ 200
4x + 3y ≤ 750
Step-by-step explanation:
Let the
Number of Adults = x
Number of campers = y
A summer camp cookout is planned for the campers and their families.
There is room for 200 people.
x + y ≤ 200
Each adult costs $4, and and each camper costs $3. There is a maximum budget of $750.
Maximum means the total cost is equal to or less than $750
$4 × x + $3 × y ≤ $750
4x + 3y ≤ 750
The system of inequalities
x + y ≤ 200
4x + 3y ≤ 750
Option A is correct
What dvision problem can be represented using the number line?
A) 10/3 divided by 5/3. B) 5/3 divided by 10/3. C)2 divided by 5/3. D)2 divided by 10/3
Answer:
C
Step-by-step explanation:
What is the greatest common factor of 26 and 34?
Answer:
Answer is
2
Step-by-step explanation:
Which statement describes the congruent triangles?
Z
Y
W
Х
AWXZ AYZX
AWXZ: AYXZ
AWXZ=AXYZ
AWXZ=AZYX
Answer:
it has to be b or c
Step-by-step explanation:
Lisa buys 0.56 pound of pasta. marlana buys 0.27 pound of pasta. how much do they buy in all?
Answer:
0000000000000000000000.83 pounds
Simplify cot^2 x sec^2 x
Answer:
csc²x
Step-by-step explanation:
cot^2(x)sec^2(x)
~Rewrite
1/cos²x * cos²x/sin²x
~Multiply
cos²x/cos²xsin²x
~Cancel out
1/sin²x
~Rewrite using trig identity
csc²x
Best of Luck!
If Jared wanted to buy a t-shirt, how much would it cost him if he also had to pay a seven percent sales tax?
Answer:
it depends how much the shirt is too.
help me asap plssssssss
Answer:
Step-by-step explanation:
12 + 4c + c = c + 4
12 + 5c = c + 4
12 + 4c = 4
4c = -8
c =-2
Write a short free verse poem describing the panda bear in the image.
Answer:
Its another day at the zoo
As people take photos of me
No wonder their crazy
I am just eating
My delicious great bamboo!
Given that, 1 Turkish lira = £0.17, convert £312 into Turkish lira. Give your answer to the nearest lira.
Answer:
£53
Step-by-step explanation:
According to the scenario, the computation of the given data are as follows,
1 turkish Lira = £0.17
Now convert £312 into turkish lira
So it can be calculated below:
= £0.17 × £312
= £53.04
After converting into turkish lira, it is £53
Pleaseee help me out!
In the triangle shown, what is the length of the hypotenuse?
Step-by-step explanation:
the answer is
[tex] \sqrt{136} [/tex]
..................
if it feels wrong
be free to correct ....
What is the lenth of EG
x = 78 + 10 = 88
So the lenght of EG is 88
Answer:
Step-by-step explanation
Multiply 54 + 24 and take the square root of both numbers
Spearhead Toy company hired 70 people this year. They have hired 10% more employees this year than last year. How many employees have been hired this year?
Answer:
63 employees.
Step-by-step explanation:
Spearhead Toy company hired 70 people this year.They have hired 10% more employees this year than last year.To find the number of employees highered last year;
110% of employees represent 70
100% of the employees will represent;
Cross-multiplying gives;
[tex]\frac{100 * 70}{110} = 63.6[/tex]
To be realistic, 63 employees were highered last year.
6x + 10 = - 2y
y=mx+b
Answer:
y = -3x - 5
Step-by-step explanation:
-2y = 6x + 10
divide both sides by -2
y = -3x - 5
The expression above can also be written in the form
Will mark brainliest!!!!! Please help
Answer:
but its somwere in 67
Step-by-step explanation:
Answer:
Have a great rest of ur day
Step-by-step explanation:
SYSTEMS OF EQUATIONS- How many solutions?
y = 5x - 10
y = 10 + x
O one solution
O no solution
O many solutions
Answer:
0ne solution; x = 5
Step-by-step explanation:
if y equals both 5x - 10 and 10 + x then you can do the following:
5x - 10 = 10 + x
4x = 20
x = 5
Complete the table by finding the values of y if y = −2x + 1.
Need ASAP!!! Please and thank you.
Answer:
1. 5
2.1
3.-1
4.-3
Step-by-step explanation:
Hope this helps :)
translate the phrase twice m increased by 2 is equal to 7 more then m
pls show your work plss
thx
A. m/2 + 2 = 7 + m
B. 2m + 2 = 7 + m
C. 2m + 2 = m + 7
D. 2m * 2 = m + 7
A number, rounded to 2 decimal places, is equal to 3.84.
Write down the lower and upper bounds of the number.
Answer:
Lower bound = 3.835
Upper bound = 3.844
Step-by-step explanation:
Given,
A number rounded to 2 decimal place = 3.84
In other to obtain the least and greatest number, we are mostly concerned about the third digit after the decimal point.
Knowing that numbers 5 and above are rounded to 1 while numbers below 5 are rounded to Zero.
Hence, the lower bound should have its original hundredth value as (4 - 1) such that it becomes 4 when the thousandth value is rounded to 1.
Lower bound = 3.835
The upper bound should have its thousandth value as one which is rounded to Zero, just a point below 5
Upper bound = 3.844
1. You get a student loan from the New Mexico Educational Assistance Foundation to pay for your educational expenses this year. Find the interest on the loan if you borrowed ₱2 000 at 8% for 1 year.
Answer:
$160
Step-by-step explanation:
Step one:
given data
Principal = $2000
rate= 8%
time t= 1 year
Required
The Simple interest paid after 1 year
Step two:
Simple interest = PRT/100
Simple interest = 2000*8*1/100
Simple interest = 16000/100
Simple interest =$160
The simple interest paid after 1 year is $160
one more lol sprry for a lot of post
Answer:
A
Step-by-step explanation:
Which set of statements would describe a parallelogram that can always be classified as a rhombus?
I. Diagonals are perpendicular bisectors of each other
II. Diagonals bisect the angles from which they are drawn
III. Diagonals form four congruent isosceles right triangles
what is the slope of the line
2x+12y-192
Answer:
-1/6
Step-by-step explanation:
To get the slope we need the equation in the form y=mx+c, and m is the slope.
2x+12y=192
12y = -2x + 192
y = -2/12 x + 16
-2/12 is the slope but this can be simplified to -1/6
ASAP SOLVE THE SLOPE
The price per night of a hotel room is $ 250.00 plus $15 per person staying in the room. Which function rule would be used to determine the price of a hotel room, p (x) given the number of people, x, staying in the room.
The equation is 250+15x is that's what your asking
which ratio does not represent the slope of a line
Answer:
more info please
Step-by-step explanation: