Answer:
2
Step-by-step explanation:
y=-3x+6
1/2v-12+20=14
whats the answer of v
Answer:
v=12
Step-by-step explanation:
1/2v-12+20=14
Add.
1/2v+8=14
Subtract 8 from both sides of the equation.
1/2v=6
Divide 1/2 from both sides of the equation.
v=12
Hope this helps :)
David’s bank offers a 36-month Certificate of Deposit (CD) with an APR of 2.25%. Use the compound interest formula to answer the following: a) If P = 2000, what is A(8)? b) Solve the equation A(t) = 4000 for t. c) What principal P should be invested so that the account balance is $2000 in three years?
Using compound interest, it is found that:
a) A(8) = 2389.66
b) t = 31.15
c) P = 1870.85
Compound interest:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.In this problem:
The APR is of 2.25%, hence [tex]r = 0.0225[/tex].No information about the number of compounding per year, hence [tex]n = 1[/tex].Item a:
[tex]P = 2000[/tex], hence:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A(8) = 2000\left(1 + \frac{0.0225}{1}\right)^{8}[/tex]
[tex]A(8) = 2389.66[/tex]
Item b:
[tex]A(t) = 4000[/tex], hence:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]4000 = 2000\left(1 + \frac{0.0225}{1}\right)^{t}[/tex]
[tex](1.0225)^t = 2[/tex]
[tex]\log{(1.0225)^t} = \log{2}[/tex]
[tex]t\log{1.0225} = \log{2}[/tex]
[tex]t = \frac{\log{2}}{\log{1.0225}}[/tex]
[tex]t = 31.15[/tex]
Item c:
[tex]A(3) = 2000[/tex], hence:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]2000 = P\left(1 + \frac{0.0225}{1}\right)^{3}[/tex]
[tex]P = \frac{2000}{(1.0225)^3}[/tex]
[tex]P = 1870.85[/tex]
A similar problem is given at https://brainly.com/question/24850750
Please help me ASAP I don’t understand sigh
Answer:
x = -2, y = -6
Step-by-step explanation:
(8x - 3y) + (-8x - 5y) = 2 + 46
-8y = 48
y = -6
8x - 3y = 2
8x - 3(6) = 2
8x + 18 = 2
8x = -16
x = -2
Answer:
[tex]\boxed { \sf (-2, -6) }}[/tex]
Step-by-step explanation:
We are asked to find the solution of the system of equations.
[tex]8x-3y=2\\-8x-5y=46[/tex]
When we solve systems of equations, we have to do 2 steps. The first step eliminates one variable so we can solve for the other. The next step helps us find the variable we canceled.
The first equation has the term 8x and the second equation has the term -8x. If these are added, they cancel, so we are left with the variable y. Add the equations together.
[tex](8x-3y=2) \\+ (-8x-5y=46)[/tex]
8x and -8x cancel, then add.
[tex](-3y=2)\\+ (-5y=46)[/tex]
___________
[tex]-8y= 48[/tex]
We are solving for y, so we must isolate the variable. It is being multiplied by -8. The inverse operation of multiplication is division. Divide both sides by -8.
[tex]-8y/-8=48/-8 \\y= 48/-8 \\y=-6[/tex]
Now we know what y is equal to, so we can plug it back into one of the original equations and solve for x.
I chose the first equation.
[tex]8x-3y=2[/tex]
[tex]8x-3(-6)=2[/tex]
[tex]8x+18=2[/tex]
Subtract 18 from both sides to isolate 8x.
[tex]8x+18-18=2-18\\8x=2-18\\8x=-16[/tex]
Divide both sides by 8.
[tex]8x/8=-16/8 \\x=-16/8 \\x= -2[/tex]
Coordinate points are written as (x,y) so our solution is (-2, -6)
what is the answer ?????
Difference = 60 - 48 = 12
Percentage = [tex] \frac{12}{60} \times 100 = \frac{12}{3} \times 5 = 4 \times 5 = 20\% \\ [/tex]
on her first six test, Sandra's scores were 75 70 80 80 85 and 90 find the mean of the six scores
Explanation:
First add up the scores: 75+70+80+80+85+90 = 480
Then divide by n = 6 because there are 6 scores. We get 480/n = 480/6 = 80 as the mean.
Calculate how many guesses in binary search algorithm.
Answer:
In the case of a decimal number, we round down to find the actual number of guesses. Therefore, for a 1000-element array, binary search would require at most 10 guesses. (which is 2,097,152), so we would need at most 22 guesses.
Step-by-step explanation:
Find the slope of the line shown below.
Hello! :)
The slope of this line is 0.
Remember, to find the slope, we divide the rise by the run. The rise is how many units we move up; the run is how many units we move right or left.
Here, we move 0 units up, so the rise is 0.
No matter what the run is, the slope is 0 anyway.
Hope it helps you!
If you have any questions, feel free to ask! (:
~An excited gal
[tex]SparklingFlower :)[/tex]
Answer:
its 0 sowe
Step-by-step explanation:
At a craft fair, Emily sold paper flowers for $0.55 each. She sold
48 flowers. How much money did she make?
Answer:
$26.40
Step-by-step explanation:
Answer:
$26.40
Step-by-step explanation:
1 paper flower=$0.55
Therefore,48 paper flowers=?
cross multiplying,we have 0.55×48=$26.40
Make b the subject of P = 1/2 a b² + c where b is positive. (3 marks)
PARALLEL PERPENDICULAR OR NEITHER OR SAME LINE
Answer:
parallel, perpendicular are opposite
Answer:
PARALLEL PERPENDICULAR
Step-by-step explanation:
A factory produces bolts at a constant rate. After 4 hours, 3,200 bolts have been produced. Which graph models a relationship with the same rate?
The graph that models the relationship between the factory production and the time is the graph in option D
The number of bolts produced within four hours is 3200
The rate of production is the ratio of the change in the number of bolts produced to the the change in time
Change in the number of bolts produced, ∆y = 3200 bolts
Change in time, ∆t = 4 hours
Rate of change = ∆y / ∆t
Rate of change = 3200/4
Rate of change = 800 bolts per hour
The only graph that models this relationship is the graph in option D because it also have a rate of change of 800 bolts per hour
Learn more here: https://brainly.com/question/25553795
A number c minus 7.3 is less than 6. write this word sentence as an inequality?
Answer:
c - 7.3 < 6
Step-by-step explanation:
c - 7.3 is less than 6
less than is the same as <
So c - 7.3 < 6
-Chetan K
Answer:
c - 7.3 < 6
Step-by-step explanation:
Clare finds an expression for S(r) that gives the surface area in square inches of any cylindrical can with a specific fixed volume, in
terms of its radius r in centimeters. This is the graph Clare gets if she allows r to take on any value between 1.2 and 3.
The function that gives the surface area has the radius as a denominator.
The values r can take are; 0.1, 1, 2, and 3Reasons:
The given parameter are;
The expression Clare finds is the surface area for a fixed volume in terms of the radius, r, is S(r)
The function is used to plot the graph
The values r are allowed to take (obtained from a similar question are) = -1, 2, and 3
The graph of a similar function representing the surface area is attached;
[tex]\displaystyle S(r) = \mathbf{2 \cdot \pi \cdot r^2 + \frac{2 \cdot \pi }{r}}[/tex]
From the graph, it is observed that there is a vertical asymptote at x = 0 (infinite discontinuity)
Therefore, Claire should use the a domain that gives a continuous graph,
given that r is a denominator of the function, by allowing the radius, r to
take on only natural number values (values larger than 0)
The domain is therefore; 0 < r < ∞
The values r can take should therefore be 0.1, 1, 2, and 3
Learn more about asymptotes here:
https://brainly.com/question/17257427
Figure out 26 and 27 and get 100 points and I will mark as brainliest
Answer:
Triangle
Area-9 units
Perimeter-9 units
Rectangle
Area- 18
Perimeter- 18
Step-by-step explanation
For the triangle, you first plot the points. Then you find two of the side lengths and multiply them together. After that you divide the result by two. You get the area. You add the sides together for the perimeter. For the rectangle, you have 3 and 6. Multiply to get 18. 3+3+6+6 is also 18.
Which equation is epuivalent to -(6 - x)= 24
Answer:-6- x = 24
Step-by-step explanation:
1. Which is the counterexample to the following conjecture?
If a number is divisible by 3, it must also be divisile by 9.
18
21
27
O
54
PARALLEL PERPENDICULAR OR NEITHER OR SAME LINE
Answer:
Same line I think
Step-by-step explanation:
Both go through -2 in x axis
Answer:
Neither
Step-by-step explanation:
To find the slope of the line using the points, we use the equation:
y2 - y1 / x2 - x1
Which would make the lines as follows:
y = 4/3x - 1/3
y = 10/9x + 2/9
And since these lines intersect at point (2.5 , 3), that would make them Neither because the slopes are not mirrored or the same.
Eva has a points card for a movie theater. She receives 65 rewards points just for signing up. She earns 13.5 points for each visit to the movie theater. She needs at least 200 points for a free movie ticket. Use the drop-down menu below to write an inequality representing vv, the number of visits she needs to make in order to get a free movie ticket.
Answer:
10
Step-by-step explanation:
200-65= 135
135/13.5=10
Work out the percentage change when a price of £40 is decreased to £18
If it took 3 hours to clean 5 houses, how many houses could be cleaned in 9 hours?
I am struggling with my math. help me please
HELP ME!!!!
Answer: 234
Step-by-step explanation:
I need help...........
Answer:
D. 62 1/4 inches
Step-by-step explanation:
Convert 3 1/2 to 3 2/4 so the denominator is 4. Then add that to 58 3/4 inches and you get 62 1/4.
Hope this helps!
consider the function represented by the equation 6q = 3s - 9. write the equation in function notation where q is the independent variable
Answer:
3s = 6q + 9
Step-by-step explanation:
Remember y = mx + b? The function you provided is exactly that but with different letters. As written, the dependent variable is 6q since that is what is isolated. To make it the independent variable, isolate something else so that it becomes the dependent variable. In other words, solve for s by moving the 9 to the other side of the equation.
6q = 3s - 9
3s = 6q + 9
Which product is negative?
−2⋅(−4)⋅8⋅(−1)
−7⋅(−3)⋅(−5)⋅(−8)
−3⋅(−4)⋅(−9)⋅0
6⋅(−2)⋅(−3)⋅1
[tex]-2(-4)\cdot 8 (-1)\\\\=8 \cdot (-8)\\\\=-64\\\\\text{This one is negative.}[/tex]
10. What percent of 25 is 10? (1 point)
O10=r. 25: 40%
O 10=r. 25: 250%
025=x: 10; 40
025=r. 10; 250%
Answer:
40%
Step-by-step explanation:
To change a fraction into a percentage, multiply by 100% , then
[tex]\frac{10}{25}[/tex]
= [tex]\frac{10}{25}[/tex] × 100%
= 0.4 × 100%
= 40%
41 divided by 533 estimate it and its long division and I have to find the R
Answer:
12 R20
Step-by-step explanation:
changed 41 to 40 and 533 to 500. work is in file above.
How to multiply with square roots and normal number.
Answer:
To multiply square roots, we multiply the numbers inside the radical. Any numbers outside the radical are also multiplied.
Step-by-step explanation:
What is a dot product.
Answer:
In mathematics, the dot product or scalar product is an algebraic operation that takes two equal-length sequences of numbers (usually coordinate vectors), and returns a single number. ... Algebraically, the dot product is the sum of the products of the corresponding entries of the two sequences of numbers
Step-by-step explanation:
How to find correlation coefficient with standard deviation.
Answer:
Another way to calculate the correlation coefficient (r) is to multiply the slope of the regression line by the standard deviation of X and then divide by the standard deviation of Y.
There are 1580 adults and children on a ship. 60% of them are adults. When the ship arrives are harbour, some of the students alight and the percentage of adults remaining on the ship decreases by 20%. How many adults alight from the ship?
Answer:
1580÷100×60
=948
60%=948
60-20
=40
1580÷100×40
=632
948-632
=316
MARK ME BRAINLIEST PLS I WILL GET A NEW RANK!!