f(-1) = 2·(-1)^2-4
= 2 (1) - 4
= 2 - 4
= -2
You want to have $200,000 when you retire in 25 years. If you can earn 3% interest rate compounded continuously, how much would you need to deposit now into the account to reach your retirement goal?
9514 1404 393
Answer:
$94,473.31
Step-by-step explanation:
The multiplier in 25 years is ...
e^(rt) = e^(0.03·25) = e^0.75 ≈ 2.117
To have an account value of $200,000 in 25 years, you need to deposit now ...
$200,000/2.117 = $94,473.31
_____
When this amount is multiplied by 2.117, the result is 200,000.
Directions: Directions: Identify x1, x2, y1, and y2. Solve for the of the line passing through the given points. Identify if the slope is positive, negative, zero, or undefined.
1.(2,1) and (5,3)
2.(-2,1) and (1, -3)
3.(4,1) and (5,1)
4.(7,-1) and (7,5)
5.(-2,1) and (3,6)
Step-by-step explanation:
Number 1
m = (y2 - y1)/(x2 - x1)
m = (3 - 1)/(5 - 2)
m = 2/3 POSITIVE
Number 2
m = (y2 - y1)/(x2 - x1)
m = (-3 - 1)/(1 + 2)
m = -4/3 NEGATIVE
Number 3
m = (y2 - y1)/(x2 - x1)
m = (1 - 1)/(5 - 4)
m = 0/1
m = 0 ZERO
Number 4
m = (y2 - y1)/(x2 - x1)
m = (5 - 1)/(7 - 7)
m = 4/0
m = UNDEFINED
Number 5
m = (y2 - y1)/(x2 - x1)
m = (6 - 1)/(3 + 2)
m = 5/5
m = 1 POSITIVE
pls help fast
brainlest to enyone who helps
Answer:
B STEP 2
Step-by-step explanation:
5/8 is not more than 1
A scale drawing for a plot of land is shown below.
In the drawing, 5 cm represents 6 m.
Assuming the backyard is rectangular, find the area of the real backyard.
Answer:
72m
Step-by-step explanation:
since 5cm is 6m, just take 5 and make it 6, so 10cm is 12m and 5cm is 6m
multiply, and you get the answer
why are prefixes used in naming covalent compounds
A. oxidation states of the atoms are identified with prefixes
B. the atoms can have different numbers of valence electrons
C. the prefixes identify the only way the atom can combine
D. the same atoms can combine in more than one ratio
Answer:
the atoms can have different numbers of valence electrons
PLEASE HELP ASAP GIVING BRAINLIEST
Answer:
brainliest mo munako
Step-by-step explanation:
bago answer pede maliwaag ba
pls help ill give brainliest
Answer:
4
Step-by-step explanation:
-5g -6
Let g= -2
-5 (-2) -6
Multiply
10 -6
4
Answer:
A. 4
Step-by-step explanation:
So, we have an equation with a variable (g), and they've given us the value of g to be -2. All we have to do at this stage is plug in the value of g into the equation.
-5g-6 (g=-2)
-5(-2)-6
10-6=4
Doing the math by plugging in -2, you would get your answer to be 4. Let me know if you see any errors, and if you have any further questions at all.
Class 10R sat a test.
The mean mark for the class was 70%.
There are 30 students in class 10R, 20 of whom are boys.
The mean mark for the boys in the test was 62%.
Work out the mean mark for the girls.
86%
Step-by-step explanation:30 students in the class with a mean average of 70% can be expressed as:
total class percent / 30 = 70%
Rearranged, this gives that the class achieved a total of 30x70 or 2100%.
20 boys in the class with a mean average of 62% can be expressed as:
total boys percent / 20 = 62%
Rearranged, this gives that the boys achieved a total of 20x62 or 1240%.
This means that the girls achieved 2100 - 1240 so 860%.
Because there are 30 students and 20 boys, there are 10 girls.
Then work out the mean with a total of 860% and 10 girls.
860/10 = 86%.
Find the number that makes the ratio equivalent to 6:3 :9
Which number is a rational number? OA √15 OB. 2.6457513110... O c. 17.156 OD. 3√85
Answer:
"O c. 17.156"
Step-by-step explanation:
A is not a rational number because it cannot be written as a fraction [with two integers] or an integer (the square root of 15 is equal too 3.87298334...)
B is not a rational number because it also goes on forever, just like A.
C is a rational number because it does not go on forever.
D is like A and B, it goes on forever.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Find the slope of the line that passes through the points (4,1) and (-2.7).
What is the slope of a line perpendicular to this line?
Answer:
the slope=-1 the slope perp=1
Step-by-step explanation:
to find slope perpendicular you just have to multiply your slope by something and have it equal -1
for example
1/2x=-1
the slope perpendicular to a line with the slope of 1/2 would be -2 beacause 1/2x-2=-1
so the slope x perpendicular slope = -1
Can someone please help me solve this…
Answer:
C = 4s + 6a
C = 4(3) + 6(2)
C = 12 + 12
C = 24
help me please asap
Answer:
5/6
Step-by-step explanation:
2/
3
: 4/
5
= 2/
3
· 5/
4
= 2 · 5/
3 · 4
= 10/
12
= 2 · 5/
2 · 6
= 5/
6
write a peacewise function for the graph
please help me
Answer:
[tex]\left \{ {{y=x; \ \ x\le 0} \atop {y=4+ \frac12x;\ \ x>0}} \right.[/tex]
Step-by-step explanation:
If you look at the graph you see that:
before 0, the graph has same y as it has x, or y=x.
after 0, the graph starts at 4, and increases by 1 every 2 steps horizontally, or has a slope of 1/2.
Finally, the 0 has to be included in the blue part of the graph based on where the solid dot is.
The Sydney Harbour Bridge is approximately 1200 metres long. A model of the bridge is built with a scale of 1:6000. What is the length of the model?
Pick one:
5cm
20cm
200cm
720cm
Answer:
20cmStep-by-step explanation:
The Sydney Harbour Bridge is approximately 1200 metres long. A model of the bridge is built with a scale of 1:6000. What is the length of the model?
Pick one:
5cm
20cm
200cm
720cm
--------------------
scale = 1:6000
so
1200 : 6000 = 0.2m
0.2m = 20 cm
Answer:
20cm
Step-by-step explanation:
«A scale of 1:6000» means the model is smaller than the bridge by a factor of 6000. We can also make up a proportion [tex]\dfrac{1}{6000}=\dfrac{x}{1200}[/tex], where the left side is the scale, x is the model length, 1200 is the bridge length (in meters). So, finding x or just dividing 1200 by 6000, we get 0.2 meters. Provided 1 m = 100 cm, 0.2 m is 0.2 × 100 = 20 cm.
Solve for n.
9 =
n
2
+ 7
n =
Answer:
9/n-2=7
We move all terms to the left:
9/n-2-(7)=0
Domain of the equation: n!=0
n∈R
We add all the numbers together, and all the variables
9/n-9=0
We multiply all the terms by the denominator
-9*n+9=0
We add all the numbers together, and all the variables
-9n+9=0
We move all terms containing n to the left, all other terms to the right
-9n=-9
n=-9/-9
n=1
Answer:
n = 1
Step-by-step explanation:
2 x 1 = 2
2 + 7 = 9
2x2-5x-2 solve by quadratic formula 9leave answers in simplest radical form)
Answer:
-5x+2
Step-by-step explanation:
1. Multiply number 2 and 2=4 so it is
4-5x-2
2. Combine like terms
-5x+4-2
3. Subtract the numbers
-5x+2
combine like terms and solve x
12x + 3 - 4x - 6 = 5
5x - 4 + 7 + 6x - 4x = 24
Answer:
12x + 3 - 4x - 6 = 5
x=1
5x - 4 + 7 + 6x - 4x = 24
x=3
9. 2 less than 3 times a number is the same as 2114. What is the number?
Enter your answer as a decimal or simplified mixed number in the box. The number is.
Answer:
705.3 repeated I don't know if that's what you want but
3 times of 705.33 and 2 subtracted is equal to 2114.
What is Simplification?Simplification in mathematical terms is a process to convert a long mathematical expression in simple and easy form.
Given that,
2 less than 3 times a number equal to 2114.
Let the required number is x.
According to given condition,
3x - 2 = 2114
3x = 2114 + 2
3x = 2116
x = 2116 / 3
x = 705.33
The required number is 705.33.
To know more about Simplification on :
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If an atom has 5 protons, 7 neutrons and 5 electrons what is the mass number of the atom?
Please help quick!
No links!
Answer:
7+5=12
Step-by-step explanation:
To calculate the mass number of an atom, you have to add the protons and the neutrons. We have 7 neutrons and 5 protons, so your mass number would be 12. Let me know if you have any further questions. :)
Which best describes the error in finding the area of the parallelogram?
15 meters was used for the height instead of 13 meters.
15 meters was used for the height instead of 13 meters.
8 meters was used for the height instead of 13 meters.
8 meters was used for the height instead of 13 meters.
The product of 8 and 15 is not 120.
The product of 8 and 15 is not 120.
The formula to use should have been A=12bh instead of A=bh.
The formula to use should have been, cap A is equal to 1 half b h instead of cap A is equal to b h.
Question 2
Correct the error.
A=
=
m2
Answer:
104
Step-by-step explanation:
Express in vertex form
Y=2x^2 - 2x - 5
Answer:
y = 2(x - [tex]\frac{1}{2}[/tex] )² - [tex]\frac{11}{2}[/tex]
Step-by-step explanation:
y = 2x² - 2x - 5 ← factor out 2 from the first 2 terms
= 2(x² - x) - 5
Using the method of completing the square
add/subtract (half the coefficient of the x- term)² to x² - x
y = 2(x² + 2(- [tex]\frac{1}{2}[/tex] ) x + [tex]\frac{1}{4}[/tex] - [tex]\frac{1}{4}[/tex] ) - 5
= 2(x - [tex]\frac{1}{2}[/tex] )² + 2(- [tex]\frac{1}{4}[/tex] ) - 5
= 2(x - [tex]\frac{1}{2}[/tex] )² - [tex]\frac{1}{2}[/tex] - 5
= 2(x - [tex]\frac{1}{2}[/tex] )² - [tex]\frac{11}{2}[/tex] ← in vertex form
HELP GIVING BRAINLIEST (NO LINKS) 50 POINTS
Expression A: 2(x + 1)
Expression B: 2x + 2
which statement does not show that these expressions are equivalent
A.subsitiuting any value of x makes the expressions equivalent
B. Both expressions involve addition
C. The expressions name the same number regardless of the value of x
D. 2(x +1) can be rewritten as 2x + 2 using the distributive property
Mary has 2 1/5 hours before she needs to meet her friend. She needs to take care of 7 chores before then. How much time can she allocate to each chore?
around 19 minutes ^^
(18.85 minutes)
Mary can allocate to each chore around 18.85 minutes.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
It is given that Mary has 2 1/5 hours before she needs to meet her friend. She needs to take care of 7 chores before then.
Hence, we get
2 and 1/5 hours = 132 minutes (120 + 12)
thus, Mary will have 132/7 = 18.85714285714286 minutes for each chore.
Or around 18.85 minutes for each chore
Therefore, she can allocate to each chore around 18.85 minutes.
Learn more about the unitary method;
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line j passes through the point (-4,10) and (2,-8). Line k passes through the point (1,2) and is parallel to line j. Find an equation for line k.
Answer:
344444444433333338694
Step-by-step explanation:
Answer: y = -3x+5
Step-by-step explanation:
can you find x and y
Answer:
yes
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
Your answer is 5,7... Oh that's wrong you forgot to link a file bud
Find the surface area of the square pyramid below.
Answer:
Step-by-step explanation:
Answer:
96 cm or B
Step-by-step explanation:
Base-l*w, 6*6, 36
Side 1-(h*w)1/2, (30)1/2, 15
Side 2-Same as 1
Side 3-Same as 1
Side 4-Same as 1
15+15=30, 15+15=30, 30+30=60, 60+36=96
96 cm
Please help me with this homework
can someone help me 5/4/7 + 1/3/4
Please check the attached image for the steps.
Answer = 11/42 = 0.261
____
RainbowSalt2222 ☔
A car is moving at 12 m/s and has a mass of 600 kg. What is the kinetic energy of the car? (Formula: KE = 1/2mv^2) WILL GIVE BRAINLEST
Answer:
The kinetic energy of the car is 43,200 Joules.
Step-by-step explanation:
KE = (1/2)mv^2
KE = (1/2)(600 kg)(12 m/s)^2
KE = (1/2)(600 kg)(144 m^2/s^2)
KE = 43,200 kg*m^2/s^2 = 43,200 Joules
Answer:
Step-by-step explanation:
KE= 1/2mv^2
KE = 1/2(600) 12^2
KE = 300 * 144 = 43200J