Answer:
Sum: 17 + 11 = 28
Difference: 17 - 11 = 6
Step-by-step explanation:
The sum of x and y is 28. In other words, x plus y equals 28 and can be written as equation A:
x + y = 28
The difference between x and y is 6. In other words, x minus y equals 6 and can be written as equation B:
x - y = 6
Now solve equation B for x to get the revised equation B:
x - y = 6
x = 6 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 28
6 + y + y = 28
6 + 2y = 28
2y = 22
y = 11
Now we know y is 11. Which means that we can substitute y for 11 in equation A and solve for x:
x + y = 28
x + 11 = 28
X = 17
Summary: The sum of two numbers is 28 and their difference is 6. What are the two numbers? Answer: 17 and 11 as proven here:
Sum: 17 + 11 = 28
Difference: 17 - 11 = 6
Answer:
17 +11 = 28
hope this helps
Suppose that $10,083 is invested at an interest rate of 6.8% per year, compounded continuously.
a) Find the exponential function that describes the amount in the account after time t, in years.
b) What is the balance after 1 year? 2 years? 5 years? 10 years?
c) What is the doubling time?
Answer:
a) The exponential function is [tex]A(t) = 10083(1.068)^t[/tex]
b)
The balance after 1 year is of $10,768.644
The balance after 2 years is of $11,500.91
The balance after 5 years is of $14,010.25.
The balance after 10 years is of $19,467.15
c)
The doubling time is of 10.54 years.
Step-by-step explanation:
Continuously compounded interest:
The amount of money earning after t years, with interest compounded continuously, is given by:
[tex]A(t) = A(0)(1+r)^t[/tex]
In which A(0) is the amount of the initial investment and r is the growth rate, as a decimal.
a) Find the exponential function that describes the amount in the account after time t, in years.
Suppose that $10,083 is invested at an interest rate of 6.8% per year
This means, respectively, that [tex]A(0) = 10083, r = 0.068[/tex]
So
[tex]A(t) = A(0)(1+r)^t[/tex]
[tex]A(t) = 10083(1+0.068)^t[/tex]
[tex]A(t) = 10083(1.068)^t[/tex]
b) What is the balance after 1 year? 2 years? 5 years? 10 years?
After 1 year:
[tex]A(1) = 10083(1.068)^{1} = 10,768.644[/tex]
The balance after 1 year is of $10,768.644
After 2 years:
[tex]A(2) = 10083(1.068)^{2} = 11,500.91[/tex]
The balance after 2 years is of $11,500.91.
After 5 years:
[tex]A(5) = 10083(1.068)^{5} = 14,010.25[/tex]
The balance after 5 years is of $14,010.25.
After 10 years:
[tex]A(10) = 10083(1.068)^{10} = 19,467.15[/tex]
The balance after 10 years is of $19,467.15.
c) What is the doubling time?
This is t for which [tex]A(t) = 2A(0)[/tex]. So
[tex]A(t) = A(0)(1.068)^t[/tex]
[tex](1.068)^t = 2[/tex]
[tex]\log{(1.068)^t} = \log{2}[/tex]
[tex]t\log{1.068} = \log{2}[/tex]
[tex]t = \frac{\log{2}}{\log{1.068}}[/tex]
[tex]t = 10.54[/tex]
The doubling time is of 10.54 years.
When solving the equation below, what step do you need to take to get the variable by itself?
x/−2=19
a.divide by -2
b.add -2
c.multiply by -2
d.multiply by 2
Answer:
Add -2
Explanation:
X / -2 = 19
19 + 2
= 21
x = 21
Sorry but my answer got deleted because someone reported it trying to get me banned can you please reward me branliest Again
look at pic 10 points
Answer:
120
Step-by-step explanation: 10 x 12 = 120 m. Hope this helps
LOTS OF POINTS!! AND ILL GIVE BRAINLIEST! i need help it keeps telling me i’m wrong and it's so stressful. what is the angle number for m
What is 2x^6 times 3 ?
I will give 20 points and brainliest
Answer:
6[tex]x^{6}[/tex]
Step-by-step explanation:
8x^ 18
you can use mathw ay.com for answers
what is the equation of the following graph in vertex form
Answer:
y=(x-4)²-4
Step-by-step explanation:
Our x-intercepts are (2,0) and (6,0) so we can state them as expressions and expand:
(x-2)(x-6)=0 [Remember that (2,0) is the solution to x-2=0 just as (6,0) is the solution to x-6=0]
x²-8x+12=0 (Standard Form)
x²-8x+12+4=0+4 (Completing the square)
x²-8x+16=4
(x-4)²=4
(x-4)²-4=0
Therefore, our equation for the graph in vertex form is y=(x-4)²-4
square root of 2800
Answer:
52.91 :)
Step-by-step explanation:
I need help quickly. Please help.
Answer:
Mean:
= (4 + 6 + 9 + 11 + 8 + 13 + 12) / 7
= 63 / 7
= 9 (The sum of the numbers divided by the number of numbers)
Median:
= 4, 6, 8, 9, 11, 12, 13
= 9 (The middle number of a list from least to greatest)
Mode:
= NONE (The number that appears the most in a given list)
If 8 containers of yogurt cost $6.80, how many containers of yogurt can you purchase
with $11.05?
You can purchase
containers ? yogurt with $11.05.
Answer:
The answer is 13 containers of yogurt.
Step-by-step explanation:
$0.85 = 1 container of yogurt so if you multiply 0.85 * 13 you will have your answer. I know this isn't too good of an explanation but trust me.
-8 < x/4
I need the answer ASAP
Answer:
2/3 I think, If not please tell me !
Compete the table to find the unit rate. the table shows how much jazz earns babysitting. What is jazz unit rate per hour? If jazz earned 97.50$ how many hours did she work?
Answer:
13 hours
Step-by-step explanation:
22.50/3=7.5
52.50/7=7.5
97.50/7.5=13
im almost done with this hw. plz help!!! give explanation if you actually know the answer so ik u dont just want points
Answer:
d.
Step-by-step explanation:
odd=4/6 even=2/6
add them =6/6 which also is 9/9.
Meg earns $8 an hour. If she made less than $48 this weekend, how many hours did she work?
Answer:
If she made LESS than $48, then she worked 5 hours. But If she made exactly $48, then she worked 6 hours.
Step-by-step explanation:
MARK ME BRAINLIEST?
pls help me giving brainless.
fever thermometer: decimeter
needle: decimeter
interstate highway:kilometer
fingernail: probably a centimeter
river: kilometer
tree trunk: meter
hope this helps.
attachemnt
look at it
Answer: 7y(3x+2)
Step-by-step explanation:
The greatest-common-factor for the coefficients 21 and 14 is 7
Both 21xy and 14y have the variable y
So the GCF factor is 7y
Suppose f(x) = x2 and g(x)=(6)
. Which statement best compares the
graph of g(x) with the graph of f(x)?
O A. The graph of g(x).js the graph of f(x) horizontally stretched by a
factor of 5.
O B. The graph of g(x) is the graph of f(x) horizontally compressed by a
factor of 5.
O c. The graph of g(x) is the graph of f(x) vertically stretched by a
factor of 5.
O D. The graph of g(x) is the graph of f(x) shifted
units left.
Answer:
In Exercises 1-9, describe the transformation of f(x) = x² represented by g. ... 14. f(x) = 4x2 + 5; horizontal stretch by a factor of 2 and a translation 2 units up, ... graph of g be a horizontal shrink by a factor of the graph of f(x) = x2 x 2x ... 4(x-3)?–4.
Step-by-step explanation:
Evaluate the expression for p = 3.
7p
I need it please I will give 20
do this for me? helppp all my point
Answer:
do u want me to find the perimeter? area? or volume?
ANSWER THE QUESTION FOR BRAINLIEST
ANSWER THE QUESTION FOR BRAINLIEST
Answer:
Step-by-step explanation:
B is the correct answer.
Answer:
B
Step-by-step explanation:
im smart
Janice spent $36 on a cake and had $27 left. What fraction of her money did she spend on the cake?
Answer:
25%
Step-by-step explanation:
36-27= 9/36= 0.25 x 100 = 25%
HELP! WILL GIVE BRANLIEST!
Answer:
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You take your friend to Olive Garden for her birthday. The meal cost $25.80 plus a 5% sales tax. You then leave the server a 20% tip. How much did you spend all together?
Answer:
$30.96
Step-by-step explanation:
I hope this helps
A circular wheel has a diameter of 42 cm. How far will it roll in 5
revolutions?
Answer:
3.142
Step-by-step explanation:
Answer:
659.75 cm
Step-by-step explanation:
First, find the circumference with the formula C = 2[tex]\pi[/tex]r
The diameter is 42 cm, so the radius will be 21 cm
Plug in the radius into the equation and solve for C
C = 2[tex]\pi[/tex]r
C = 2[tex]\pi[/tex](21)
C = 131.95
Find how far it will roll by multiplying this by 5
131.95(5)
= 659.75
So, in 5 revolutions, it will roll 659.75 cm
you took a test in social studies that was worth 100 points. how many points will you have to earn to get 88%?
Answer:
88 points.
Step-by-step explanation:
Answer:
You will have to have 88 points i think
Step-by-step explanation:
How do you simplify (3a^2b) /(5ac) x (10c) /(6ab) given that A, B, C does not equal to 0?
Answer:
1Step-by-step explanation:
(3a²b) /(5ac) x (10c) /(6ab) = (3ab)/(5c) × (5c)/(3ab)1Answer:
solution given:
(3a^2b) /(5ac) x (10c) /(6ab)
[tex] \frac{3a {}^{2}b }{5ac} \times \frac{10c}{6ab} \\ \frac{3ab \times 10c}{5c \times 6ab} \\ \frac{2}{2} \\ 1[/tex]
1 is your answer
A city mayor plans to build two new
parks. Each park will cover 1.45 acres.
How many acres will the new parks
cover altogether? Explain.
Most
represe
Answer: 2.90 acres.
Step-by-step explanation:
1.45x2 or 1.45 + 1.45
Use trigonometric identities to simplify the expression.
cot(β+π)sin(β
Answer:
cosβ
Step-by-step explanation:
cot(β+π)sinβ
cot(x)=cos(x)/sin(x), so we can rewrite our expression as:
(cos(β+π)/sin(β+π)) * sinβ
sin(a+b)=sin(a)cos(b)+cos(a)sin(b), so we can rewrite our expression as:
(cos(β+π)/(sinβcosπ+cosβsinπ)) * sin(β)
cos(a+b)=cos(a)cos(b)-sin(a)sin(b), so we can rewrite our expression as:
(cosβcosπ-sinβsinπ)/(sinβcosπ+cosβsinπ)) * sin(β)
cosπ=-1 and sinπ=0, so we can rewrite our expression as:
(-cosβ)/(-sinβ) * sin(β)
(-cosβ)/(-sinβ) * sin(β)
=(cosβ/sinβ)(sinβ)
=cosβ
4. Ms. Hwang started reading at 3:35 p.m. She finished reading at 4:16 p.m.
How many minutes did Ms. Hwang read?
Aquarium is a square prism. What is the height of the aquarium if it has a volume of three cubic units and a width of 3 feet?
Answer:
1
Step-by-step explanation:
x*3=3
x=1