Answer:
Step-by-step explanation:
1/2y + 1/2 = 3 1/2
- 1/2 -1/2 subtract 1/2 on both sides to isolate 1/2y
1/2y = 3 divide both sides by 1/2 to get y value
y = 6
How long does it take for an investment to double its value if the interest is 7.25%
compounded continuously?
Answer: 9.9 years
Step-by-step explanation:
We have an interest of 7.25%, compounded continuously, we can write this as:
P = A*e^(r*n)
where:
P is the total balance after n years.
A is the initial investment.
r is the ratio of increase, in the case of a continuous compound, this will be:
r = Ln(1 + 7.25%/100%) = Ln(1 + 0.0725) = 0.070
n is the time in years.
Then we want to have our initial investement doubled, this means:
P = 2*A
let's find n for this situation:
P = 2*A = A*e^(0.070*n)
2 = e^(0.070*n)
Now we can apply the Ln() to both sides, remember that:
Ln(e^x) = x
Then:
2 = e^(0.070*n)
Ln(2) = Ln(e^(0.070*n)) = 0.070*n
Ln(2)/0.070 = 9.9
So we need 9.9 years to double the initial investment.
{ months of the year with 4 letters}
Answer:
June, July
Step-by-step explanation:
Please give me brainliest
What is the equation of the line in slope intercept form? Enter your answer in the boxes.
Answer:
the answer is y= 5/2 x +5
Answer:
y = [tex]\frac{5}{2}[/tex] x + 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}=x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (0, 5)
m = [tex]\frac{5-0}{0+2}[/tex] = [tex]\frac{5}{2}[/tex]
The line crosses the y- axis at (0, 5 ) ⇒ c = 5
y = [tex]\frac{5}{2}[/tex] x + 5 ← equation of line
PLEASE HURRY, ILL GIVE BRAINLIEST
A football player kicks a ball with a force of 50 N. Find the impulse on the ball if his foot stays in contact with the football for 0.01 second.
Answer:
I= f.t = (50) (0.01) = (0.5) kg.m15
Step-by-step explanation:
jesus loves you and cares for you
Use benchmark values to estimate 7/10 + 7/8.
Answer:
1.575
Step-by-step explanation:
one student can paint a wall in 10 minutes another student can paint the same wall in 15 minutes working together how long will it take for them to paint the wall?
Answer:
6 min
Step-by-step explanation:
given that the rate for the first student is 10 min per wall
we can express this in wall per minute by taking the reciprocal
hence student 1's unit rate = 1/10 wall per min
similarly, we can express student 2's unit rate as 1/15 wall per min.
if we add up the two, we will get the amount of wall painted by two people working together per min
amount of wall painted per min by 2 people
= wall per min of person 1 + wall per min of person 2
= 1/10 + 1/15
= 3/30 + 2/30
= 5/30
= 1/6 wall per min.
to convert this to minutes per wall, we take the reciprocal:
number of minutes that both people will take to paint the wall
= 1 / (1/6)
= 6 min per wall (answer)
(Angle relationships) Solve this question
Answer:
69
Step-by-step explanation:
Is the percentage illumination of the moon's surface a linear function of the day
Answer:
No (The linear model did a very bad job of approximating the data.)
I am so sorry if this in incorrect.
The percentage illumination of the moon's surface is not a linear function of day
How to determine the true statement?From the complete question, the dataset can be represented using the following table:
Days Percentage Illumination
1 2%
2 6%
3 50%
4 100%
Notice that as the number of days increase by 1, the percentage illumination of the moon increase at different intervals
This means that the percentage illumination is not a linear function of day
Read more about linear functions at:
https://brainly.com/question/14323743
#SPJ2
what's 1+9 pls helpppppppp
You finance a $500 car repair completely on credit, you will just pay the minimum payment each month for the next three months. The APR is 18.99% and the minimum payment each month is 4% of the balance. Determine the finance charge, carry-over balance, and minimum payment required for each of the next two months, and the starting balance for month 2 in the table below.
Answer:
Determination of the Finance Charge, Carry-over balance, Minimum Payment for each of the next two months:
Finance Charge:
First month = $7.91
Second month = $7.72
Carry-over balance:
First month = $487.59
Second month = $475.50
Minimum Payment:
First month = $20.32
Second month = $19.81
Starting balance (Carry-over balance + Finance charge):
First month = $507.91
Second month = $495.31
Step-by-step explanation:
a) Data and Calculations:
Credit Finance = $500
APR = 18.99%
Minimum monthly payment = 4% of the balance
Monthly rate of interest = 0.1899/12 = 0.015825
Finance Charge:
First month = $7.91 ($500 * 0.015825)
Second month = $7.72 ($487.59 * 0.015825)
Carry-over balance:
First month = $487.59($507.91 - $20.32)
Second month = $475.50 ($495.31 - $19.81)
Minimum Payment:
First month = $20.32 ($507.91 * 4%)
Second month = $19.81 ($495.31 * 4%)
Starting balance (Carry-over balance + Finance charge):
First month = $507.91 ($500 + $7.91)
Second month = $495.31 ($487.59 + $7.72)
Please answer this correctly without making mistakes
Answer:
The price per inch is $0.26.
Step-by-step explanation:
There are 12 inches in 1 foot.
First, we need to calculate what the cost is per foot.
18.72 / 6 = 3.12
From this answer, we have to divide by 12 to calculate what the price is per inch.
3.12 / 12 = 0.26
I hope this was helpful to you! If it was, please consider rating, pressing thanks, and marking my answer Brainliest. It would help a lot. Have a wonderful day!
x+1 is a factor of x[tex]x+1 is a factor of x^2-1[/tex]
True or False
Answer:
False ( i think)
Step-by-step explanation:
Answer:
FALSE.... ...Thank you ☺️
A veterinarian treated 7 dogs this morning. The list below gives the weights (in pounds) of each dog. , 6, 46, 21, 9, 21, 5143 Find the range of the data set.
Answer:
5137
Step-by-step explanation:
Who knows the answer to this
x=-15/2 , 4
I'm sorry if I'm wrong
3.4 divided by 57.8, I cannot seem to understand plz explain
Answer:
17 /1
decimal form =0.05882
Step-by-step explanation:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "57.8" was replaced by "(578/10)". 2 more similar replacement(s)
STEP1:
289
Simplify ———
5
The equation at the end of step1:
34 289
—— ÷ ———
10 5
STEP2:
17
Simplify ——
5
The equation at the end of step2:
17 289
—— ÷ ———
5 5
STEP3:
17 289
Divide —— by ———
5 5
3.1 Dividing fractions
To divide fractions, write the division as multiplication by the reciprocal of the divisor :
17 289 17 5
—— ÷ ——— = —— • ———
5 5 5 289
Final result :
1
—— = 0.05882
17
A recipe calls for 2 3/4 cups of flour to make 24 muffins. Barry has 8 1/4 cups of flour. How many muffins can he make?
Answer:
72 muffins
Step-by-step explanation:
8 1/4 divided by 2 3/4
33/4 x 4/11
3 x 24 = 72
Answer:
72 muffins so 3 batches
Step-by-step explanation:
i just counted the 1/4 cups is the amount that was needed for 1 batch (which btw is 11)
and barry had (8times4 1/4cups) 33
so 3 batches tomes 24 muffins is 72 muffins in total
hope this helped ❤
i will give the BRAINIEST
given g (x)= f (x)+k. Identify a value of k that transforms f into g. Round your answer to the nearest integer.
K= 5
Step-by-step explanation:
You must count the distance between so if you look at where it lines up perfect -3,0 up to 2 the distance is 5
Answer:
k = - 5Step-by-step explanation:
The slopes are same and y-intercepts are:
2 for f and -3 for gSince we have:
g(x) = f(x) + kWe can find the value of k:
-3 = 2 + kk = -3 - 2k = -5Answer is k = - 5
What is the volume for 14 8 10 10 10 8?
Answer:
I believe volume is three dimensions. And thus three terms, so I don't believe you have the right setup. Or you need to clarify something somewhere.
Step-by-step explanation:
Please help it’s due
Answer:
i dnt know
Step-by-step explanation:
Answer:
m<1 = 75
m<2 = 55
m<3 = 55
Step-by-step explanation:
Well <1 + 50° is vertical to 125 so do this
<1 + 50 = 125 (subtract 50 on both sides)
<1 = 75
Now <1 + <2 + 50° = 180
We know what <1 is so..
75 + <2 + 50 = 180 (collect like terms)
125 + <2 = 180 (subtract 125 on both sides)
<2 = 55
Since <2 and <3 are vertical that means they equal the same so
<3 = 55
Hope this helps ya! Keep smiling!
I need help with math
an amount A is initially 8. To find next week's amount, we multiply this week's amount by 4. Find a formula that gives the amount A after T weeks
Given:
Initial amount = 8
To find next week's amount, we multiply this week's amount by 4.
To find:
A formula that gives the amount A after T weeks.
Solution:
We have,
Initial amount = 8
According to the question,
Amount of next week = 4 × Amount of this week
Amount after one week is
[tex]A=4\times 8[/tex]
Amount after two week is
[tex]A=4\times (4\times 8)[/tex]
[tex]A=4^2\times 8[/tex]
Amount after T week is
[tex]A=4^T\times 8[/tex]
[tex]A=8(4)^T[/tex]
Therefore, the required formula that gives the amount A after T weeks is [tex]A=8(4)^T[/tex].
Translate the phrase into an algebraic expression.
The product of 8 and b
Answer:
8xb=a (answer)
Step-by-step explanation:
I hope this helps :)
Choose the correct answer to complete the sentence about how the wave is affected by the brick wall.
Rougher sections of the wall surface will cause the___ from the emergency vehicle to scatter.
sound waves
light waves
sound and light waves
Answer:
I think sound waves
Step-by-step explanation:
I'm not smart listen to someone else
Find the values of x and y.
(40y + 20°
8xº (2x + 30°)
(60y – 40)
9514 1404 393
Answer:
x = 5y = 3Step-by-step explanation:
Vertical angles are congruent.
8x = 2x +30
6x = 30 . . . . . . subtract 2x
x = 5 . . . . . . . . divide by 6
__
60y -40 = 40y +20
20y = 60 . . . . add 40-40y
y = 3 . . . . . . . .divide by 20
_____
Check
The 'x' angles are 8x° = 8·5° = 40°.
The 'y' angles are (40y+20)° = (40·3+20)° = 140°.
The angles are supplementary, as they are supposed to be.
Which algebraic expression is equivalent to the expression below? 4/5x - 7/5y
A. 1/5(4x - 7y)
B. 5(7x - 7y)
C. 5(4x - 7y)
D. 1/5(7x + 4y)
What is the coefficient of 9x^5?
Answer:
9
Step-by-step explanation:
A coefficient is a number in front of a variable.
Answer:
9
Step-by-step explanation:
Bert is saving money to buy a new phone that costs $153.66, including tax. He does yard work around his neighborhood to earn money. He charges $9.85 per hour.
Part B:
How many hours will Bert have to work to earn enough money to buy the phone?
Answer:
4.57
Step-by-step explanation:
in 2005 a company spent 493,749,335 on advertising. round the advertising figure to the nearest hundred thousand.
Answer: 493,700,000
Step-by-step explanation:
12 divided by 1/4 please help got a test next Monday
Answer:
48
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
When dividing fractions flip and multiply.
So 12 would become 1/12
and 1/4 would become 4/1
Now multiply
[tex]\frac{1}{12}*\frac{4}{1}= \frac{4}{12} = \frac{1}{3}[/tex]
So the answer is 1/3
When dividing fraction remember to flip then multiply much easier that way!
Hope this helps!!
3/4 (x-12) = 12
solve for x
Answer:
28
Step-by-step explanation:
I got this question on a test and got it right
HAVE A GREAT DAY!
