Using continuous compounding, it is found that he will have $3,615.84 in the account after two years.
The amount of money in an account that uses continuous compounding, after t years, is given by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the deposit.r is the interest rate, as a decimal.In this problem:
Deposit of $3,100, hence [tex]A(0) = 3100[/tex]Interest rate of 8%, hence [tex]r = 0.08[/tex]Then, after 2 years, we have t = 2, hence:
[tex]A(t) = A(0)(1 + r)^t[/tex]
[tex]A(2) = 3100(1 + 0.02)^2 = 3615.84 [/tex]
He will have $3,615.84 in the account after two years.
A similar problem is given at https://brainly.com/question/24722580
PLS HELP!!! WILL GIVE BRAINLIEST
Answer:
10/5 - 4
Step-by-step explanation:
you have to write down what you understand from the sentence.
First, you read it carefully since it says quotient then you will have to put that first and then subtraction. Normally you would put subtraction in front because the sentence is in that order. But since your dealing with division then the subtraction part would go afer.
10/5 - 4
Answer: uhh i think both are correct since the order of operation states that you must do division over subtraction first, it doesn't matter which position 4 is in, but you must do the division first.
A conditional statement is defined as a hypothesis starting with the term 'lf" and ending with the conclusion starting with
the term “then”
A. True
B. False
Answer:
False
Step-by-step explanation:
The form of a hypothesis is If, then, because.
Of the numbers 4, 5, 6, and 7, which is a solution to the inequality “t+2<7
Answer:
Step-by-step explanation:
F(x)=0
Answer: C
It is right lol
What happens to the value of y in the following equation as the value of x increases, where x is a whole number?
y = x 2 + 4
Answer:
y as well will increase as x value increases bc x is a whole number and y intercept is positive 4
It is found that as the x value increases then the y value will also increase.
What does it mean to solve an equation?An equation represents the equality of two or more mathematical expressions. When someone asks you to solve an equation, then they usually mean to find the values of the unknowns for which that equation would be true (the equality between expressions should hold for those values). Solutions to an equation are those values of the variables involved in that equation for which the equation is true.
We have been given the equation as y = x² + 4
when the value of x is 0 then the value of y will be;
y = x² + 4
y = 0 + 4
y = 4
when the value of x is 1 then the value of y will be;
y = 1² + 4
y = 1 + 4
y = 5
Also when the value of x is 2 then the value of y will be;
y = 2² + 4
y = 4 + 4
y = 8
Thus we can conclude that as the x value increases then the y value will also increase.
Learn more about solving equations here:
https://brainly.com/question/18015090
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Graph the compound inequality on the number line.
Answer:
x can equal any number between 0 and 8. This also includes 8.
Step-by-step explanation:
As noted in the problem, x is more than -1 (x > -1)
So we can infer that -1 and anything past it to the left is not a viable answer.
As noted in the problem, x is lesser than or equal to 8 (x ≤ 8) meaning that anything past 8 to the right will not be a viable answer.///
It will look something like this.
It will stop here --v
---•---|---|---|---|---|---|---|---•---
0 1 2 3 4 5 6 7 8
(Hope this helped, however I learned this 2 years ago so my memory might be a little foggy. The exact kind of point (filled or not) namely won't be something I know.)
Please help me with this question :)
Answer:
B
B
B
Step-by-step explanation:
Probability doesn't deal with decimals and even if you change the values into fraction. I don't think you will get the right answer
A bicycle rental company charges a $12 fee plus $3 per hour. Which equation represents this linear relationship
Answer:
y =3x + 12
Step-by-step explanation:
7. a) Find the value of x. (3 pts)
b) Find m
B
c) Find m
X
380
x + 2
с
Mathits.com
А
coloso
Step-by-step explanation:
6) (2x+1) + (x+15) + x = 180
x = 41
So (2x+1) = 83 is the largest one
7) a) x + x+2 + 38 = 180
x=70
b) m<70
c) m<72
8) 9x = 180
x = 20
X =20
H= 40
E = 80
What would y equal in this equation?
3 + 4/1y = 5x + 2
Step-by-step explanation:
Since you can't directly solve for [tex]y[/tex] in this question, we will use substitution to solve for
[tex]{\large{\boxed{\mathbb{QUESTION}}}[/tex]
What would y equal in this equation?
[tex]\begin{bmatrix}3+\frac{4}{1}y=5\\ x+2=0\end{bmatrix}[/tex]
[tex]{\large{\boxed{\mathbb{SOLVE\:FOR\:Y}}}[/tex]
[tex]3+\frac{4}{1}y=5[/tex]
First, we will subtract 3 from both sides of the equation
[tex]\frac{4}{1}y=2[/tex]
Simplify
[tex]{4}y=2[/tex]
Divide both sides by 4
[tex]y=\frac{1}{2}[/tex]
[tex]{\large{\boxed{\mathbb{SOLVE\:FOR\:X}}}[/tex]
[tex]x+2=0[/tex]
subtract 2 to both sides
[tex]x=-2[/tex]
[tex]{\large{\boxed{\mathbb{ANSWER}}[/tex]
[tex]y=\frac{1}{2}[/tex] [tex]x=-2[/tex]_____________________________________
If we didn't use the method with substitution and had our equation being
[tex]3+\frac{4}{1y}=5x+2[/tex]
our answer would've been
[tex]y=\frac{-4}{-5x+1}[/tex], I highly doubt this would be the right answer.
Have a good day :) !ABCD is a quadrilateral.
AB = CD.
Angle DAB = angle CDA.
Prove that AC = BD.
Answer:
Draw the diagonals AC and BD, and observe the two triangles ABD and ACD you created. They have side lenghths AB and CD equal by hypotesis, side lenght AD in common, and the angle inbetween congruent by hypotesis. The two triangles are congruent (albeit mirrored vertically) by SAS. The third sides are then congruent, QED.
the question is in the picture, 30 points and BRAINLIEST if right!!
Answer: relation 3 function relation 4 not a function
Step-by-step explanation:
if you pay 6$ for a pound of something how much would it cost to buy 2.6 pounds
Answer:
[tex]6\cdot2.6=15.6[/tex]$ for [tex]2.6[/tex] pounds
Step-by-step explanation:
Rate - [tex]6[/tex] dollars per pound
We have [tex]2.6[/tex] pounds
Here's our equation
[tex]6\cdot2.6[/tex]
Solve[tex]6\cdot2.6=15.6[/tex] for [tex]2.6[/tex] pounds
in the given diagram ,
( angle )AOC= 20 °/• of ( angle )BOC . find the measure of ( angle )AOE if OE is the bisector of
( angle ) AOD
• need a well explained ans
• no spams and plagiarism
• kindly stay out of the question if u don't know the ans
Answer:
It should be BOC
Step-by-step explanation:
this is because a bisector is always a cross or any other shape that cuts something into its exact half (unlike intersect which can cut any shape in any form unlike its exact half )
so, as you can see in the figure, angle BOC is bisecting* AOC at its exact half, angle BOC is the answer.
Also, the measure of BOC (angle) should be 53°
a 5-foot tall girl casts a 7-foot long shadow. a nearby telephone pole casts a 35-foot long shadow. what is the height of the telephone pole?
Answer:
25 feet.
Step-by-step explanation:
The triangles formed are similar so:
5/h = 7/35 where h = height of the pole.
7h = 5*35
h = 5*35/ 7
h = 5*5
h = 25.
Mathematics need help please i beg you
Answer:
a) 3.50x + 1.75y=21 b) 6 c) 12 d) yes e) no
Step-by-step explanation:
A) you take the cost of the beads and add a variable the cost is per pound and you don't know how many pounds there are.
B) 3.50x = 21 you divide 3.50 on both side to get the variable alone and get how much pounds George gets.(blue beads)
C) 1.75y = 21 it is the exact process as the last but with the red beads instead
D) you take the equation you got and sub in the 4's in for the variables and you get 21
E) You do the same thing that was done in D (make sure you look at what they lbel it so you don't numbers in the wrong spot.)
Put these in order starting with the smallest.
Answer:
Step-by-step explanation:
[tex]9^{\frac{3}{2} }[/tex] = ( √9 )³ = 27
[tex]27^{\frac{1}{3} }[/tex] = ∛27 = 3
[tex]125^{\frac{2}{3} }[/tex] = ( ∛125 )² = 25
[tex]27^{\frac{1}{3} }[/tex] , [tex]125^{\frac{2}{3} }[/tex] , [tex]9^{\frac{3}{2} }[/tex]
Answer:
[tex] {27}^{ \frac{1}{3} } < {125} ^{ \frac{2}{3} } < {9}^{ \frac{3}{2} }[/tex]
Step-by-step explanation:
[tex] {9}^{ \frac{3}{2} } = \sqrt[2]{ {9}^{3} } = \sqrt[2]{ {3}^{6} } = { 3}^{3} \\ {27}^{ \frac{1}{3} } = \sqrt[3]{27} = \sqrt[ 3]{ {3}^{3} } = 3 \\ {9}^{ \frac{3}{2} } > {27}^{ \frac{1}{ 3} } \\ \\ {125}^{ \frac{2}{3} } = \sqrt[3]{ {125}^{2} } = \sqrt[3]{ {5}^{6} } = 25 \\ \\ 3 < 25 < {3}^{3} \\ {27}^{ \frac{1}{3} } < {125} ^{ \frac{2}{3} } < {9}^{ \frac{3}{2} }[/tex]
4 less than the product of 2 and a number equals 5 is written how in an equation?.
Answer:
2+x-4=5
Step-by-step explanation:
Answer:
2+x-4=5
Step-by-step explanation
:) :) :) :) :) :) :) :) :) :) :) :) :) :) :)
what is the characterstic and mantissa of 8. Full steps
Answer:
characteristic: 0mantissa: 0.90309Step-by-step explanation:
The terms "characteristic" and "mantissa" refer to parts of the logarithm of a number. Their values will be different, depending on the base of logarithms used.
The base 10 (common) logarithm of 8 is ...
log(8) ≈ 0.90309
The characteristic is the integer portion of the logarithm: 0.
The mantissa is the fractional portion of the logarithm: 0.90309.
_____
Additional comment
To be more technically precise, the "characteristic" is the "floor" of the logarithm: the greatest integer not greater than the log value. For example, the characteristic of log(0.003) = -2.522879 is -3. The mantissa is the (positive) fractional value after the characteristic is subtracted. The mantissa of log(0.003) is 0.477121.
The mantissa can always be found in log tables. It corresponds to the log of a value between 1 and 10. The characteristic is the exponent of 10 the number would have if it were written in scientific notation.
0.003 = 3×10^-3
log(0.003) = log(3) + log(10^-3) = -3 +log(3) = characteristic + mantissa
PLEDE HELP ME EMERGENCYYYYYY
Answer:
1) drinks = $10
2) food = $25
3) total = 7 parts
Step-by-step explanation:
1) 2×5=10
2) 5×5=25
3) 2part+5part=10part
Step-by-step explanation:
the other answer can be a bit confusing.
and the last sentence there is wrong. it should be 2 parts plus 5 parts is 7 parts.
anyway, in questions like this you need to first clarify : how many parts are being used as the whole.
think of it like a cake or a pizza. one friend will eat 2 slices, another will eat 3 slices, and you want only one. then into how many slices do you have to cut the pizza, if there should be no pizza left ?
so, in our case here, the drinks get 2 "slices" of the whole pizza of $35. and food gets 5 "slices". and together they have now the whole pizza.
so the whole pizza was cut into 2+5 = 7 slices.
now we need to spread the whole $35 "pizza" evenly on its 7 slices (or parts).
remember : we use division for that.
35/7 = $5
so, one slice (or part) of the whole $35 is $5.
since drinks get 2 slices (or parts), this is then 5+5 or 5×2 = $10
and food gets 5 slices (or parts). this is then 5+5+5+5+5 or 5×5 = $25
and to verify : $10 + $25 = $35. so, yes, we did not make any mistake. the sum is indeed the total of $35.
a group of 5 nurses comtain 3 women and 2 men. a second nurse is chosen at random form the four remaining nurses. given that the first nurse was a woman, what is the probability that the second nurse is also a woman
Round 0.574 to the nearest tenth.
Answer:
0.674
Step-by-step explanation:
PLS HELP!! The question is in the photo!! I’m being timed pls hurry!! NO LINKS, NO STEALING POINTS, AND ONLY CORRECT ANSWERS!!!
Drag each tile to the correct location on the table. Each tile can be used more than once, but not all tiles will be used.
Step-by-step explanation:
Step 2 : Subtraction property of equality
Step 3: simplification
Step 4 : Subtraction property of equality
Step 5: Simplification
Step 6: Multiplication property of equality.
Step 7 : simplification
HJ and KM are parallel lines. Which angles are alternate interior angles?
A. <JIL and <KLN
B. <JIL and <JIG
C. <JIL and <HIG
D. <JIL and <KLI
Answer:
D
Step-by-step explanation:
this is the correct answr
Write 40% as a fraction
Answer:
[tex]\frac{2}{5}[/tex]
Step-by-step explanation:
40% = [tex]\frac{40}{100}[/tex] ( divide numerator and denominator by 20 )
40% = [tex]\frac{2}{5}[/tex]
Answer:
Step-by-step explanation:
40%= 40/100
Percent is out of 100 and written as % so there for it is 40 out of 100 or 40 over 100
40/
PLEASE SOMEONE HELP ME OUT THIS IS URGENT PLEASE AND THANK YOU! ):
Answer:
for the first line let (-4,-3) be (x1,y1) and (8,0) be x2,y2.
now,
slope (m1) = (y2-y1)/ (x2-x1)
or, m1= 0-(-3)/ 8-(-4)
or, m1=3/12=1/4
again, for line two consider (0,2) as x1,y1 and (-1,6) be (x2,y2)
apply the same formula and find the slope(m2)
m2=6-2/-1-0
or, m2=4/-1
for b) m1 multiply m2
or 1/4 x 4/-1
=-1 so it is perpendicular
Step-by-step explanation:
for a we simply apply the formula of slope considering the given points as x1,y1 and x2,y2 respectively.
while for the b number if m1 x m2 =-1 the line is considered to be perpendicular.
similarly, if m1=m2 then it is considered to be parallel.
here m1 is slope of the first line, m2 is slope of second line and m3 is the slope of the third line
Find the length of side x in simplest radical form with a rational denominator.
Answer:
[tex]x = 14[/tex]
Step-by-step explanation:
[tex]x \sin(30) = 7 \\ x = \frac{7}{ \sin(30) } \\ x = 7 \times 2 \\ x = 14[/tex]
A trapezoid has interior angle measures of 90, 90, 75 and ? degrees. Find the measure of angle in the trapezoid. Enter only the number of degrees in the answer box. Angle measures blankdegrees.
Answer:
105 degrees.
Step-by-step explanation:
Total of angles in trapezoid = 360
so the answer is
360 -(90+90+75)
= 105
What is 5.8 to 1 decimal place?
What is the solution to this equation?
3(a - 4) + 1 = 9 - a
O a = 3
a = 5
O a = 6
O a = 10
Answer:
B. a = 5
Step-by-step explanation:
3(a - 4) + 1 = 9 - a
Distribute the 3 into the parenthesis.
3a - 12 + 1 = 9 - a
Add -12 and 1.
3a - 11 = 9 - a
Add a to both sides.
4a - 11 = 9
Add 11 to both sides.
4a = 20
Divide both sides by 4.
a = 5.
Proof:
3(a - 4) + 1 = 9 - a
Substitute variable.
3(5 - 4) + 1 = 9 - 5
Subtract inside parenthesis.
3(1) + 1 = 9 - 5
Multiply 3 and 1.
3 + 1 = 9 - 5
Add 3 and 1.
4 = 9 - 5
Subtract 5 from 9.
4 = 4.
When doing curls, John is careful to extend through the full range of motion and quickly lock his elbows to make sure that he does not drop the weight. This is an example of __________. A. A good technique because he moves quickly B. A bad technique because he moves through the range of motion C. A good technique because he is paying attention to form D. A bad technique because he quickly locks a joint Please select the best answer from the choices provided. A B C D.
Answer:
d
Step-by-step explanation:
Answer: D. A bad technique because he quickly locks a joint!
Step-by-step explanation: On Edge!
