Jimmy invests $2000 in a money market account earning 8.5% interest compounded continuously. Which of the following is an equation that can be used to determine the value
of Jimmy's investment account after t years?
Answer:
[tex]A=2000e^{0.085t}[/tex]
Step-by-step explanation:
Make sure you understand the formula for continuous compounding first. The formula is:
[tex]A=Pe^{rt}[/tex] where
A= Total
P= Principal (or the amount invested at beginning)
r= Interest rate (as a decimal)
t= Time (in years)
Note: e is an irrational mathematic number similar to π. Its value is around 2.72, but for these problems, you’ll need to use the version already on your calculator that will be called “[tex]e^{x}[/tex].” On most calculators, it can be accessed by 2nd → ln.
Find the values that you are given:
A= What you are looking for
P= 2000
r= 8.5% as a decimal = 0.085
t= What you change
Plug these into the equation:
[tex]A=2000e^{0.085t}[/tex]
This is the answer!
what is -12 divided by 3
Answer:
-4
Step-by-step explanation:
if you divide a negative number by a positive number, you will get a negative number
Answer:
-4
Step-by-step explanation:
-(4×3)/3
by crossing both 3 out
-(4) remains
solve for x and round please
Answer:
9.6
Step-by-step explanation:
6.4/x = sin42
x = 6.4/sin42
x = 9.56
help would be appreciated
Answer:
59
Step-by-step explanation:
VUW is an isoceles triangle, therefore VUW = VWU
tirangles total to 180 so 180 - 62 =118=2VUW
118 ÷2 = 59
Please help! Will mark brainliest <3. (Click on the photo too see the question!)
Answer:
☐ [tex]\displaystyle \textcolor{blue}{A.}\:\angle{S}\:and\: \angle{J}[/tex]
☑ [tex]\displaystyle \textcolor{blue}{B.}\:\angle{G}\:and\: \angle{M}[/tex]
☐ [tex]\displaystyle \textcolor{blue}{C.}\:\angle{H}\:and\: \angle{P}[/tex]
☑ [tex]\displaystyle \textcolor{blue}{D.}\:\angle{R}\:and\: \angle{U}[/tex]
Explanation:
Accourding to the Vertical Angles Theorem, vertical angles are considered congruent. So, we need to make sure find all pairs of angles that reflect each other like a mirror [NO LINEAR INTERFERENSES], and those would be the above checked checkboxes.
I am joyous to assist you at any time.
In the parallelogram shown, find the measure of ∠A.
Answer: 40 degrees
Step-by-step explanation:
An explicit rule for a sequence tells how to find an as a function of blank the first term,A1, the next term an+1,
Answer:
The correct answer is "the term number, n."
Step-by-step explanation:
Answer:
Step-by-step explanation:
on edge!! dear student... you got this.. don't procrastinate and more importantly don't doubt yourself. You CAN and WILL make it to 100%
If the hypotenuse of a 30°-60°-90° Triangle is 10√2, find the length of the other two sides.
Let us consider a 30°-60°-90°△ABC right angled at B in which ∠C = 30⁰ and ∠A = 60⁰ with hypotenuse AC = 10√2 units.
Solution:-In △ABC,
[tex]\longrightarrow[/tex]sin ∠C = [tex]\sf \dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\longrightarrow[/tex]sin ∠C = [tex]\sf \dfrac{AB}{AC}[/tex]
[tex]\longrightarrow[/tex]sin 30⁰ = [tex]\sf \dfrac{AB}{10\sqrt{2}}[/tex]
[tex]\longrightarrow[/tex][tex]\sf \dfrac{1}{2}= \dfrac{AB}{10\sqrt{2}}[/tex]
[tex]\longrightarrow[/tex][tex]\sf AB = \dfrac{10\sqrt{2}}{2}[/tex]
[tex]\longrightarrow[/tex][tex]\sf AB = 5\sqrt{2}\:units[/tex]
[tex]\\[/tex]
In △ABC,
[tex]\longrightarrow[/tex]cos ∠C = [tex]\sf \dfrac{Base}{Hypotenuse}[/tex]
[tex]\longrightarrow[/tex]cos ∠C = [tex]\sf \dfrac{BC}{AC}[/tex]
[tex]\longrightarrow[/tex]cos 30⁰ = [tex]\sf \dfrac{BC}{10\sqrt{2}}[/tex]
[tex]\longrightarrow[/tex][tex]\sf \dfrac{\sqrt{3}}{2}= \dfrac{BC}{10\sqrt{2}}[/tex]
[tex]\longrightarrow[/tex][tex]\sf BC = \dfrac{10\sqrt{2}\times \sqrt{3}}{2}[/tex]
[tex]\longrightarrow[/tex][tex]\sf BC = \dfrac{10\sqrt{2\times 3}}{2}[/tex]
[tex]\longrightarrow[/tex][tex]\sf BC = \dfrac{10\sqrt{6}}{2}[/tex]
[tex]\longrightarrow[/tex][tex]\sf BC = 5\sqrt{6}\: units[/tex]
Thus , the length of other two sides of triangles are 5√2 and 5√6 units.
Apples cost $1.10 per pound. Darius bought x pounds of apples for a total cost of $2.75.
Graph the line that represents this equation: help please
Answer:
Here I graphed it for you.
Step-by-step explanation:
Compare the graphs that jennifer and matt drew by completing the statements. jennifer’s graph is vertically shifted from matt’s graph. jennifer’s graph is horizontally shifted from matt’s graph. jennifer’s graph is matt’s graph. which graph has a vertex that is a maximum?
Jennifer’s graph is vertically shifted from Matt’s graph by 2 units. and none of the graphs has their vertex at maximum.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The function of the graph that is drawn by Jennifer is f(x)=2x²+4x, while the function that is drawn by Matt is g(x)=2(x+1)².
If we compare the function of the two graphs,
[tex]g(x)=2(x+1)^2\\g(x)=2(x^2+1+2x)\\g(x) = 2x^2+2+4x\\\\f(x)=2x^2+4\\[/tex]
As we can see that the only difference between the two of the function is +2, therefore, the only difference between Jennifer's graph and Matt's graph is that the graph of Jennifer’s graph is vertically shifted from Matt’s graph. As shown in the below image.
Thus, Jennifer’s graph is vertically shifted from Matt’s graph by 2 units.
If we draw two of the graph on the graph we will notice that the two of the functions will have their maximum at their vertex, as both graphs are opening upwards.
Hence, Jennifer’s graph is vertically shifted from Matt’s graph by 2 units. and none of the graphs has their vertex at maximum.
Learn more about Function:
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Answer:
1. 2 units down
2. 0 units left or right
3. the same shape as
4. Neither Jennifer's nor Matt's
correct on edge 2023 have a good day :)
pls help me with this
Answer: A)72.8067226km/hr (final asnwer)
b) volume of a cube= a^3 (sides^3) =4.5^3= 91.125 cm^3 (final asnwer)
c) 1 day cost= $(35.9 +11.55 + 35) =$82.45
therefore for 5 days= $82.45 * (multiplied) by 5 = $412.25 (final asnwer)
Step-by-step explanation:
Answer:
(a)≈72.8 kilometer per hour
(b)91.125 cm^3
(c)272.25$
Step-by-step explanation:
(a)speed=mile/hour
=371mile/8.2hours
=371×1.609kilometers/8.2hours
≈72.8 kilometer per hour
(b)the vol: of cube= a^3 (a=side)
=(4.5)^3
=91.125cm^3
(c) for 5 days, (35.9×5)+(11.55×5)+35 ($35 is ofor one-off charge so there is no need to multiply with 5)
=272.25$
What are the measures of center for a data set?
Mean, Median, and Mode
Mean - Add all the numbers then divide by the number of numbers you added.
Median - The center of a set of numbers. (In a, b, c, d - b+c/2 is the median.)
Mode - The number that appears the most in a set of numbers.
They are called measures of center because they are statistics that describe the center of a set of data.
Question 1
Match each graph to the correct description of the number of solutions the system of equations has.
one solution
an infinite number of solutions
no solution
Franco has $1.95 in his pocket. His mom has three times as much in her pocket. How much money do Franco and his mom have in total?
$1.95
$5.85
$6.80
$7.80
Answer: $5.85
Step-by-step explanation:
Answer:
5.85
Step-by-step explanation:
since Franco's mok has THREE times as much in her pocket, that means we we multiple 1.95 by 3. $1.95x3=$5.85
Hello people ~
factorise: 11y ^ 2 + 7y + 12
[tex]\\ \rm\rightarrowtail 11y^2+7y+12[/tex]
Un factorable
let's see why?
11×12=132There are no factors which gives sum +7 and product 132.
Hence it's not factorableHelp me with this question!!
50 points + Brainliest
No spammers allowed
Thanks in advance.
No. 7.a
Answer:
∠BAC = 35°
AC = 5 cm
BD = 2.4 cm
Step-by-step explanation:
As ΔABC ~ ΔBDC then ∠CBD ≅ ∠BAC
As ∠CBD = 35° then ∠BAC = 35°
Using Pythagoras' Theorem
CB² + AB² = AC²
⇒ 3² + 4² = AC²
⇒ 25 = AC²
⇒ AC = 5 cm
As ΔABC ~ ΔBDC then
AB : AC = BD : BC
⇒ 4 : 5 = BD : 3
[tex]\sf \implies \dfrac45=\dfrac{BD}{3}[/tex]
[tex]\sf \implies BD=\dfrac{12}{5}=2.4\:cm[/tex]
**A right triangle with legs of 3cm and 4cm, and a perpendicular line from the hypotenuse to the right angle vertex, does not have an internal angle CBD of 35°. It should be 36.87°. So if you use SOHCAHTOA to find the length of BD, it will be incorrect. See attached diagram**
Answer:
35°, 5 units, 2.4 unitsStep-by-step explanation:
Given
ΔABC ~ ΔBDCCorresponding angles are congruent
∠BAC ≅ ∠DBC m∠BAC = m∠DBC = 35°Use Pythagorean to find the length of AC
[tex]AC = \sqrt{AB^2+BC^2} =\sqrt{3^2+4^2} =\sqrt{25} =5[/tex]The ratio of corresponding sides is equal
BD/AB = BC/ACBD/4 = 3/5BD = 4*3/5BD = 2.4What is the area of this figure?
3 mi
7 mi
4 mi
2 mi
5 mi
12 mi
3 mi
2 mi
Write your answer using decimals, if
necessary.
square miles
Answer:
38.5
Step-by-step explanation:
I would give explanation but it's kind of hard
What is the approximate volume of the tube? round to the nearest whole cubic centimeter. 1,005 cm3 1,340 cm3 3,351 cm3 4,021 cm3
The approximate volume of the cylinderical tube is 1005 cm³ round to the nearest whole cubic centimeter.
What is of volume of cylinder?Volume of cylinder is the amount of quantity, which is obtained by the bylinder in the 3 dimensional space.
Volume of cylinder is the can be given as,
[tex]V=\pi r^2h[/tex]
Here, (r) is the radius of the base of the cylinder and (h) is the height of the cylinder.
A cylindrical cardboard tube with a diameter of 8 centimeters and a height of 20 centimeters is used to package a gift.
The diameter is 8 cm and the radius of a cylinder is half of its radius. Thus the radius of the cylinder is,
[tex]r=\dfrac{8}{2}\\r=4\rm\; cm[/tex]
Put the values in the above formula a,s
[tex]V=\pi (4)^2(20)\\V=320\pi\\V=1005.31\\V=\approx 1005\rm\;cm^3[/tex]
The approximate volume of the cylinderical tube is 1005 cm³ round to the nearest whole cubic centimeter.
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Use quadratic method :
6y^2 - 4y - 3=
Answer:
see explanation
Step-by-step explanation:
look at the photo
PLEASE HELP ASAP ITS FOR A TEST
If a server at a restaurant gets a 20% tip on a bill of $25, then what will be the amount of the tip?
Answer:
$5
Step-by-step explanation:
20% = .2
multiply 25 by .2 and you get 5 so $5 is the tip amount
Work out m and c for the line:
y=6 - 2
Answer:
Step-by-step explanation:
y=Mx+c
M=6 c=-2
Find the height of the building to the nearest foot in the diagram below. Show work.
Answer:
height : 150 feet
Step-by-step explanation:
[tex]\sf \sf tan(x)= \dfrac{opposite}{adjacent}[/tex]
using tan rule:
[tex]\hookrightarrow \sf tan(62)= \dfrac{b}{80}[/tex]
[tex]\hookrightarrow \sf b = tan(62)*80[/tex]
[tex]\hookrightarrow \sf b =150.46 \ feet[/tex]
Answer:
[tex]\approx 150 \: ft[/tex]
Step-by-step explanation:
recall sohcahtoa
sin(x)=opposite/hypotenusecos(x)=adjacent/hypotenusetan(x)=opposite/adjacenthere,
The adjacent side is 80 ftx°=62°The opposite side is the heightTo find:
The opposite side or the heightsince we are given the value of adjacent side and need to figure out the opposite side , we will work with tan function,
So,
[tex] \tan( {62}^{ \circ} ) = \dfrac{h}{80} [/tex]
[tex] \implies \: h = 80\tan( {62}^{ \circ} ) [/tex]
using calculator,we acquire
[tex] \implies \: h \approx 150 \: ft[/tex]
hence, the height of the building is approximately 150ft
Mr. Nathan ordered a total of 24 roses in three different colors. 1/3 white 1/4
yellow, and the rest red. What is the number of red roses Mr. Nathan ordered? Enter your answer in the box.
Answer:
10 red
8 white
6 yellow
Step-by-step explanation:
1/3 of 24 is 8 white
1/4 of 24 is 6 yellow
8+6 is 14
24-14 is 10
there are 10 red
A spinner is divided into 8 identical sectors and labeled 1 through 8.
How many spins are expected for a multiple of 3 to be spun 6 times?
Select from the drop-down menu to correctly complete the sentence.
The spinner is expected to have to spin approximately
Choose...
times for a multiple of 3 to be spun 6 times.
12
16
24
48
Answer:
The answer is 12
Step-by-step explanation:
1-8(6)
The multiples of 3 would be 3 and 6.
3 and 6 are found 12 times within those 6 spins
Option 12 is the correct answer.
What is permutation?The permutation refers to the various ways in which objects from a set may be selected, generally without replacement, to form subsets.
For the given situation,
The spinner has 8 identical sectors {1,2,3,4,5,6,7,8}.
The multiples of three from the given sectors are 3 and 6.
Multiples of 3 in the sector = 2
The spinner is expected to have to spin the multiples of 3 to be spun 6 times = [tex]2[/tex] × [tex]6[/tex]
⇒ [tex]12[/tex]
Hence we can conclude that option 12 is the correct answer.
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Can somebody please help me? I have dyscaluca and don't understand this
Answer:
man
Step-by-step explanation:
im sorry...you'll get it soon i swear
Aiden and his two friends ordered a pizza with 12 slices. Together they ate 2/3 of the pizza. If they evenly divided what was left, how many slices would each of them receive
Answer:
they would get 1 piece each and would probably have to fight for the last one
Step-by-step explanation:
12 divided by 3 = 4
4x2=8
12-8=4
4 divided by 3 = 1 remainder 1
The number of slices would each of them receives will be 2 ²/₃ pieces.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
Aiden and his two friends ordered a pizza with 12 slices. Together they ate 2/3 of the pizza.
Then the number of pieces eaten is calculated as,
⇒ 2/3 x 12
⇒ 8
If they are evenly divided. Then we have
⇒ 8 / 3
⇒ 2 ²/₃
The number of slices would each of them receives will be 2 ²/₃ pieces.
More about the Algebra link is given below.
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A window in Lynn and Jorge's house needs to be
replaced. The rectangular window is 3 feet 5 inches
tall and 2 feet 7 inches wide. Change each of the
measurements to inches.
(a) Find the perimeter of the window in inches.
(b) If the perimeter needs to be sealed with insulation
that is $0.50 per inch, how much will it cost to insulate
the perimeter?
Answer: change to inches:41 inches tall. 31 inches wide. perimeter:144 inches. perimeter insulation: costs $72
Step-by-step explanation:
Answer:
Step-by-step explanation:
Note: 1 foot is made up of 12 inches.
3 feet 7 inches = 3 * 12 + 7 = 36 + 5 = 41
2 feet 7 inches = 2 * 12 + 7 = 24 + 7 = 31
Part A
P = 2L + 2W Substitute the above Values into this equation
P = 2*41 + 2*31 Combine
P = 82 + 62 Add
Answer: P = 144
Part B
1 inch costs 0.5 dollars
144 inches cost x
1/144 = 0.5/x Cross Multiply
x = 144 * 0.5
Answer: x = 72 dollars
Solve 58 - 10x< 20 + 9x.
-
O A. x2
O B. Xs2
O c. xs-2
O D. x2-2
I am not sure what you are asking by the options provided as the formatting has been messed up, but if you simplify the given equation you end up with:
x > 2
Step-by-step explanation:
Given
58 - 10x< 20 + 9x
Add 10x to both sides of the equatoin
58 < 20 + 19x
Subtract 20 from both sides of the equatoin
38 < 19x
2 < x
x > 2
Find the equation of the line that is perpendicular to the line Y equals negative 4X -4 and passes through the point -2, -4. Write the equation in point slope form
======================================================
Perpendicular lines have slopes that are opposite reciprocals.
This means we take the slope, flop it over, and change its sign.
In this case, we have
[tex]\boxed{-4}[/tex]
First, flop it over:
[tex]\boxed{-\frac{1}{4}}[/tex]
Change its sign:
[tex]\boxed{\frac{1}{4}}[/tex]
Now, let's write the equation of the line in point-slope form:-
[tex]\bigstar\boxed{\pmb{y-y1=m(x-x1)}}\longleftarrow\sf{Point-Slope~Formula}[/tex]
Where
y₁ is the y-coordinate of the point that the line intersects
m is the slope of the line
x₁ is the x-coordinate of the point that the line intersects
In this case,
y₁ is equal to -4
m is equal to [tex]\boxed{\frac{1}{4} }[/tex]
x₁ is equal to -2
Plug in the values:-
[tex]\bigstar{\boxed{y-(-4)=\frac{1}{4}(x-(-2)}[/tex]
Simplify:-
[tex]\longrightarrow\sf{y+4=\frac{1}{4} (x+2)[/tex]
and we're done!
===========================================================
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)