im gonna assume that ur just simplifying this equation so here it is
y-3x
hope this helped!!
Elwood invested $5,000 in a money market account and has been tracking its progress. He found that after 3 years, the account held $7,100 and after 8 years, the account held $10,350. Use this information to complete the statements. Over the first 3 years, the value of the account increased at ___ over the last 5 years. Over the entire 8 years, the value of the account increased at an average rate of approximately $___ annually.
Answer:
Given:
Principal= $5,000
After 3 years, Amount= $7,100
After 8 years, Amount= $10,350
Step-by-step explanation:
Interest after 3 years= $7,100- $5,000
=$2,100
Interest in last 5 years= $10,350- $7,100
=$ 3,250
Difference between first 3 years and last 5 years= $3,250- $2,100
=$1,150
Amount= Principal*[tex](1+r/100)^{t}[/tex]
10,350=5000[tex](1+r/100)^{8}[/tex]
[tex]\frac{10350}{5000}[/tex]=[tex](1+r/100)^{8}[/tex]
2.07=[tex](1+r/100)^{8}[/tex]
[tex]2.07^{1/8}[/tex]=1+[tex]\frac{r}{100}[/tex]
1.095-1=[tex]\frac{r}{100}[/tex]
0.095*100=r
r=9.5%
Average rate=[tex]\frac{5000*9.5*1}{100}[/tex]
=$475
Answer:
drop down 1 a slower rate per year
drop down 2 670
Step-by-step explanation:
as in three years you get $7100
you take that and subtract it by your starting amount (5000)
7100-5000= 2100
then divide 2100 by the number of years (3)
to get your annual rate of 700$
then you take the 8 year total and subtract it from your 3 year total
10350-7100= 3250
Then divide that by 5 because that how many years it has been
to get the annual rate of 650
making the 5 year rate slower.
The to find the average rate over all 8 year you take 10350 and subtract it from your starting number 5000
10350-5000= 5350
then take 5350 and divide it by the number of years (8)
you then get you average rate of 668.75
668.75=670
Hope this helps!
What is x if: x ÷ 0.6 = 1 2/3
Answer:
x = 1
Step-by-step explanation:
Rewrite the equation to get x/0.6 = 5/3, since the division sign is the same thing as a slash sign and that 1 2/3 is equivalent to 5/3. Multiply 0.6 on both sides to get 1 as your final answer.
Answer:
1
Step-by-step explanation:
0.6 times 1 2/3 is 1. in that case, 1 divided by 0.6 is 1.66666666667, also known as 1 2/3 making x = 1
Ernesto measured the height of a door frame as 6.35 feet, but the actual height was 6.5 feet. What is the percentage of error in Ernesto's measurement? (5 points)
a
2.31%
b
1.98%
c
2.36%
d
2.02%
Answer:
A or B
Step-by-step explanation:
sry if im wrong-happy new year!
Corrado has 27 books in his room that he has already read. He wants to give them away to his 3 younger siblings. How many books will each of Corrado's siblings receive?
If b represents the number of books each sibling receives, which equation could be used to solve the problem?
Answer:
3b = 27
Step-by-step explanation:
They will each receive 9 books
what is the domain and range
Answer:
0,1,2,3 is the domain
-2,1,2,4 is the range
can someone please help me, will give brainliest
Answer:
(d) 1 mile = 10 blocks
Step-by-step explanation:
The ballpark is 8 blocks west and 15 blocks north of Jeff's home. The Pythagorean theorem tells us the straight-line distance is ...
d² = 8² +15² = 64 +225 = 289
d = √289 = 17 . . . blocks
The problem tells us this represents 1.7 miles, so the proportion is ...
blocks/miles = 17 blocks/(1.7 miles) = 10 blocks/mile
The map scale is 1 mile = 10 blocks.
y is inversely proportional to the square of x.
A table of values for x and y is shown.
Х| 1 2 3 4
Y| 4 1 4/9 1/4
a) Express y in terms of x.
b) Work out the positive value of x when y = 25
Answer:
[tex]a) \: y = \frac{4}{ {x}^{2} }[/tex]
[tex]b) \: x = \frac{2}{5} [/tex]
Step-by-step explanation:
Please see the attached pictures for the full solution.
What value of x makes the equation true?
-7x-5=-10x-26
Please show work
Answer:
-7
Step-by-step explanation:
-7x-5= -10x-26
-7x= -10x-21
3x= -21
x=-7
19 dozen cookies to individual cookies
Answer:
228 individual cookies.
Step-by-step explanation:
To convert 19 dozen cookies to individual cookies, we first have to identify that:
[tex]dozen=12[/tex]
If a dozen is equal to 12, to solve, we simply must multiply the amount of dozens, which is 19, by a dozen, which is 12:
[tex]19*12=[/tex]
[tex]228[/tex]
Therefore, there are 228 individual cookies.
-
We can check our work by dividing the individual number of cookies, 228, by dividing buy the amount of dozens, 19, and a dozen, 12:
[tex]228[/tex] ÷ [tex]19=12[/tex]
[tex]228[/tex] ÷ [tex]12=19[/tex]
As you can see, our quotients are the two figures we started with, and when multiplied together, give us 228 individual cookies; therefore, our solution is correct!
TJ rented a truck to move to a apartment the regular price of a Truck Rental is $200 TJ has a 50% off coupon he wants to know the sale tax of the truck rental
Answer:
$100
Step-by-step explanation:
From the question, we are given the following
Rental price of the truck
percentage off coupon = 50%
Required
Sale tax of the truck rental
Sale tax of the truck rental = 50% of the truck price
Sale tax of the truck rental = 50% of $200
Sale tax of the truck rental = 50/100 * 200
Sale tax of the truck rental = 0.5 * 200
Sale tax of the truck rental = $100
Hence the sale tax of the truck rental is $100
What is RU?
A.20
B.30
C.12
D.15
Answer:
a
Step-by-step explanation:
The segment RT is a perpendicular bisector and means Δ RSU is isosceles, then the 2 legs are congruent, that is
RS = RU , substitute values
8x = 6x + 5 ( subtract 6x from both sides )
2x = 5 ( divide both sides by 2 )
x = 2.5
Thus
RU = 6x + 5 = 6(2.5) + 5 = 15 + 5 = 20 → a
3-2|x+4|+3=1 the answer for this
Answer:
x={-3/2,-13/2}
Step-by-step explanation:
3-2|x+4|+3=1
-2|x+4|+6=1
-2|x+4|=-5
|x+4|=5/2
x+4=5/2
x+4=-5/2
x=5/2-4
x=-3/2
x=-5/2-4
x=-13/2
PLZZZZZZZZZ HELP!!!
Select the correct answer.
In 14 days, the daily high temperature in Cedar Hills dropped by 16.8 degrees Fahrenheit. What is the average daily rate of change in the high temperature in degrees Fahrenheit?
A.
+2.2
B.
+1.2
C.
+1.1
D.
-1.2
E.
-2.2
the answer choice is B.
How are the areas of triangles and parallelograms in the coordinate
plane calculated?
Answer:
___________________________________________________________
By finding the product of a point's x coordinate times the next point's y coordinate, then subtracting the y coordinate of the first point times the x coordinate of the second coordinate and dividing by two, you will find the area of the polygon.
___________________________________________________________
2 numbers are in ratio 2 is to 4 if their sun is 147 then what i the largest number?
Answer:
The larger number is 98
Step-by-step explanation:
Let the numbers be a and b
a/b= 2/4
4a = 2b ------- 1
a + b = 147 -----2
a= 147 - b -------3
Substitute equation 3 into 1
4(147 -b) = 2b
588 - 4b = 2b
588= 2b + 4b
588 = 6b
b= 588/6
b= 98
Substituting b= 98 into 1
4a = 2(98)
4a = 196
a= 49
The larger number is 98
Helplsieedgoodgradeplspls
Answer:
He would need to walk the dog 6 more times because 8 times 11 is 88 and if he has already walked the dog 5 times you would subtract that from 11 to get 6. So the answer would be 6
Step-by-step explanation:
8·11= 88
11-5= 6
9. Determine which of the following sequences is a geometric sequence. Check all that apply.
3,9, 27, 81, ...
100, 90, 80, 70, ...
5, 10, 20, 40, ...
2, 10, 18, 26,...
625, 125, 25, 5, ...
-2, 6, -18, 54, ...
Step-by-step explanation:
first geometric sequence
3^1, 3^2 ,3^3, 3^4,......
3, 9, 27, 81.......
second
5^1, 5^2, 5^3, 5^4,........
5, 25, 125, 625,........
third
2, 10, 18, 26,.....
which has the difference of 8
fourth
100, 90, 80, 70,......
Write the equation of the line through the points (1, 3), (3, 3)
Answer:
y = 3
Step-by-step explanation:
P ( 1 , 3) and Q ( 3 , 3 )
The straight line is parallel to the x-axis since the two points have the same y.
The intercept with the y-axis is 3.
The slope-point equation for a line is:
y = m*x + b (1)
m is the slope and b is the intercept with the y-axis
To calculate the slope
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
m = 3 - 3 / 3 - 1 m = 0 / 2 m = 0
therefore, equatio (1) becomes
y = 0*x + 3
y = 3
Please help I’m in finals and I have to complete all my missing assignments
Answer:
Between 3 and 3.5
Step-by-step explanation:
more than 9 and less than 16. 9 is closer to 10 making it c.
Find the value of X. round to the nearest tenth
There is no equation, what is the equation?
Answer:
what is the equation
Step-by-step explanation:
Which expression is equivalent-3(6x+7)+4(7x+2)
Answer: are there choices?
Step-by-step explanation:
Help ASAP plz
3. Solve by graphing. (y=mx + b)
y=-x+10
x+y=10
What is the solution and also solve using algebra
Answer: Im sorry im bad at mafs
Step-by-step explanation:
I dont know why it says im in high school im in middle school. But anyways can someone please explain how to get percentage.
Answer:
Step-by-step explanation:
To change a decimal into a percent you multiply by 100.
If there is a fraction that you need to convert into a percent. Completely divide the fraction. 4/5 = 0.8 then multiply by 100 you get 80%. This means that 4 is 80% of 5
Answer:
how to get a percentage from a decimal is when you take the decimal point and move it twice to the left
Step-by-step explanation:
for example
.07 = 7%
does that make sense?
John's Mathematics exam mark this year is increased by 5% to 84. Find his Mathematics exam mark
last year.
Answer:
80%
Step-by-step explanation:
Let's call the past exam mark m,
m*105%=84
m*105/100=84
m=84/(105/100)
m=80
Hope this helps!
Answer:
80
Step-by-step explanation:
new value = 84
old value = n
can use percent change formula: (new value - old value) / old value = 5/100
[tex]\frac{84-n}{n}[/tex] = [tex]\frac{5}{100}[/tex]
cross-multiply (you can simplify 5/100 to be 1/20 first): 20(84 - n) = n
1680 - 20n = n
1680 = 21n
n = 80
If the simple interest on $7,000 for 9 years is 3,780, then what is the interest rate?
Answer:
6%
Step-by-step explanation:
Interest = Principal × Rate × Time/100
$3780 = $7000(9)(rate)/100
63000rate = 378000
rate= 378000/63000
rate = 6% per annum (Answer)
Mr. Thompson drew a rectangle on the chalkboard with a length to width ratio of 5 to 2. He asked students to draw a rectangle with the same ratio of length to width in their journals. Audrey plans to draw a rectangle with a width of 6 centimeters. What length should Audrey's rectangle have?
Answer:
15 centimeters
Step-by-step explanation:
Ratio of Mr. Thompson rectangle = length : width
= 5 : 2
Audrey plans to draw a rectangle with a width of 6 centimeters.
Ratio of Audrey rectangle = length : width
= x centimeters : 6 centimeters
Equate the two ratios to find the value of x
5 : 2 = x : 6
Cross product
5 * 6 = 2 * x
30 = 2x
Divide both sides by 2
x = 30 / 2
= 15
x = 15 centimeters
Audrey's rectangle should have a length of 15 centimeters
Answer:
15
Step-by-step explanation:
Ruffles Boutique brought a leather jacket from a wholesale distributor for $140. The story markup on this item is 220%. What is the selling price for the jacket?
Sell price = purchase price x Mark up
Sell price = 140 x 220%
Sell price = 140 x 2.2 = 308
Sell price = $308
PUZZLE: six wolves catch six lambs in six minutes. How many wolves will be needed to catch sixty lambs in sixty minutes?
no, the answer is not sixty!!
I am just confused on how to do this question. A 37-inch TV is 37-inches diagonally across the screen. Which of these dimensions best describes a 37-inch TV? A. 15 x 34 B. 16.5 x 32 C. 17 x 28 D. 17 x 32
Given that,
A TV is 27 inch diagonally across the screen.
To find,
The dimensions that best describes a 37 inch TV.
Solution,
Let a and b are length and width of the TV. Let c be the diagonal. Using Pythagoras theorem,
[tex]c=\sqrt{a^2+b^2}[/tex]
If dimensions are 15 x 34,
[tex]c=\sqrt{15^{2}+34^{2}}\\\\=37.16\ inch[/tex]
If dimensions are 16.5 x 32,
[tex]c=\sqrt{16.5^{2}+32^{2}}\\\\=36.003\ inch[/tex]
If dimensions are 17 x 28,
[tex]c=\sqrt{17^{2}+28^{2}}\\\\=32.756\ inch[/tex]
If dimensions are 17 x 32,
[tex]c=\sqrt{17^{2}+32^{2}}\\\\=36.23\ inch[/tex]
It is clear that if dimensions are 15 x 34, the diagonal is 37 inches. Hence, the correct option is (a).
Which percent is equivalent to 2.5?
2.5%
25%
250%
2,500%
Answer:
250%
Step-by-step explanation:
Answer:
c
Step-by-step explanation: