Answer:
4
-15
Step-by-step explanation:
A person places $4080 in an investment account earning an annual rate of 5.7%, compounded continuously. Using the formula
V
=
P
e
r
t
V=Pe
rt
, where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 4 years.
We have been given that a person places $6340 in an investment account earning an annual rate of 8.4%, compounded continuously. We are asked to find amount of money in the account after 2 years.
We will use continuous compounding formula to solve our given problem as:
, where
A = Final amount after t years,
P = Principal initially invested,
e = base of a natural logarithm,
r = Rate of interest in decimal form.
Upon substituting our given values in above formula, we will get:
Upon rounding to nearest cent, we will get:
Therefore, an amount of $7499.82 will be in account after 2 years.
Answer:
5124.83
Step-by-step explanation:
r=5.7\%=0.057
r=5.7%=0.057
Move decimal over two places
P=4080
P=4080
Given as the pricipal
t=4
t=4
Given as the time
V=Pe^{rt}
V=Pe
rt
V=4080e^{0.057( 4)}
V=4080e
0.057(4)
Plug in
V=4080e^{0.228}
V=4080e
0.228
Multiply
V=5124.8281\approx 5124.83
V=5124.8281≈5124.83
No files or links please!
graph y= -4/3 x+2 using the slope and y-intercept
Answer:
heres a graph
Step-by-step explanation:
Answer: there you go
Step-by-step explanation:
What is 0.02349 written in standard form to 3 significant figures
Answer: The answer is (B)
Explanation: The answer is (B) because, there are 2 zeros so that means that there would have to be a 2 behind the 10 and then there is 2,3,4,and 9. We take out the 9 and use the other numbers, bring over the decimal and now you have [tex]2.34 x 10^{2}[/tex] .
Let's cancel out from left to right
[tex]\\ \sf\Rrightarrow 0.02349[/tex]
[tex]\\ \sf\Rrightarrow 0.0235\times 10^{-1}[/tex]
[tex]\\ \sf\Rrightarrow 2.35\times 10^{-3}[/tex]
Option C is correct
What is the simplified form of the expression? HELP ASAP
Answer:
[tex]360[/tex]
Step-by-step explanation:
[tex] \frac{5(14 - 2)^{2} }{2} = \frac{5 {(12)}^{2} }{2} = \frac{5(144)}{2} \\ \\ \frac{720}{2} = 360[/tex]
Answer:
The answer is option (d) 360.
Step-by-step explanation:
Solution :[tex]\implies{\tt{\dfrac{5(14 - 2)^{2} }{2}}}[/tex]
[tex]\implies{\tt{\dfrac{5(12)^{2} }{2}}}[/tex]
[tex]\implies{\tt{\dfrac{5(12 \times 12) }{2}}}[/tex]
[tex]\implies{\tt{\dfrac{5(144) }{2}}}[/tex]
[tex]\implies{\tt{\dfrac{5 \times 144 }{2}}}[/tex]
[tex]\implies{\tt{\dfrac{5 \times \cancel{144}}{ \cancel{2}}}}[/tex]
[tex]\implies{\tt{5 \times 72}}[/tex]
[tex]\implies{\tt{360}}[/tex]
[tex]\dag{\underline{\boxed{\sf{\red{360}}}}}[/tex]
Hence, the answer is 360.
[tex]\rule{300}{1.5}[/tex]
Learn More :✧ BODMAS :
↝ BODMAS rule is an acronym used to remember the order of operations to be followed while solving expressions in mathematics.
It stands for :-
⠀ ⇝ B - Brackets,
⠀ ⇝ O - Order of powers or roots,
⠀ ⇝ D - Division,
⠀ ⇝ M - Multiplication
⠀ ⇝ A - Addition
⠀ ⇝ S - Subtraction.
↝ It means that expressions having multiple operators need to be simplified from left to right in this order only.
✧ BODMAS RULE :
↝ First, we solve brackets, then powers or roots,then division or multiplication (whatever comes first from the left side of the expression), and then at last subtraction or addition.
⠀ ↠ Addition (+)
⠀ ↠ Subtraction (-)
⠀ ↠ Multiplication (×)
⠀ ↠ Division (÷)
⠀ ↠ Brackets ( )
[tex]\rule{300}{1.5}[/tex]
12 cm
5 cm
4 cm
15 cm
The area of the trapezium shown
above is
Answer:
120cm
Step-by-step explanation:
hope it helps pls mark brainliest
120cm² is the area of the trapezium. The two pairs of different sides of a parallelogram are parallel, making it a specific example of a trapezium.
What is trapezium?A trapezium is indeed a quadrilateral having four straight sides, four corners, and one pair of opposing sides that are parallel to the other pair and the other pair that are not1,2,3,4,5. Bases refers to the parallel sides, whereas Legs 1, 2, 3, and 4 refer to the non-parallel sides.
The two pairs of different sides of a parallelogram are parallel, making it a specific example of a trapezium4. The Trapezium is one of the most popular shapes; when drawn on paper, it creates a two-dimensional shape that resembles a table. A water glass, a lighting fixture, a flower pot, or boats are examples of items that have a trapezium shape.
Area of trapezium =1/2×(sum of parallel sides)×height
= 1/2×(5+4)×12
= 120cm²
Therefore, 120cm² is the area of the trapezium.
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Your question is incomplete but most probably your full question was,
The area of the trapezium shown below is
Aaden has a points card for a movie theater.
• He receives 20 rewards points just for signing up.
• He earns 2.5 points for each visit to the movie theater.
• He needs 40 points for a free movie ticket.
a
Write and solve an equation which can be used to determine x, the number of
visits Aaden must make to earn a free movie ticket.
What’s the awnser ?
Answer:
He needs 8
Step-by-step explanation:
40 - 20 = 20
2.5 x 8 - 20
aaden needs to visit the movies 8 more times
Answer:
8
Step-by-step explanation:
20+2.5x=40
x equal the number of visits adam need to make to earn a free movie ticket
2.5x=40-20
2.5x=20
x= 20/2.5
x=8
What is 7.15-0.274???
Answer: the answer is 6.876
Step-by-step explanation:
7.15-0.274=6.876
7.500-0.274=6.876
I hope this helps.
BRAINEST PLEASE
A school sells T-shirts to promote school spirit. The school's profit is given by the function P(x) = 8x - 150, where * is the number of T-shirts sold.
During the play-offs, the school increases the price of the T-shirts. The school's profit during the play-offs is given by the
function Q(x) = 16x - 200, where x is the number of T-shirts sold.
Describe the transformation using the words slope and y-intercept from the graph of P to the graph of Q.
Answer:
Step-by-step explanation:
1)Kamala’s mother gave her a 100 Rupee note .Kamala bought a pen for Rs.68.50.How much money will be left with her?
Answer:
100- 68.50 = 31. 50 rupees
Step-by-step explanation:
that is 31 rupees and 50 paise
Find the value of two numbers if their sum is 147 and their difference is 51
No links
Answer:
99 and 48
Step-by-step explanation:
99+48=147
99-48=51
Can anyone help me on this one??
Find the slope and the y-intercept of the equation below:
1. 4x-3y=12
2. 2y=6x-12
if you can put the step please do so. Tysm.
Answer + Explanation:
1. you want to rearrange the equation ( don't change the actual value ) to put it in the form y = mx + b. in this form, m represents the slope and b represents the y-intercept.
this is how you would do that:
4x - 3y = 12
subtract 4x from both sides
-3y = -4x + 12
divide both sides by -3
y = 4/3x - 4
this means the slope is 4/3 and the y-intercept is -4
2. do the same thing, rearranging into y = mx + b form
2y = 6x - 12
divide both sides by 2
y = 3x - 6
this means the slope is 3 and the y-intercept is -6
Pairs of markings a set distance apart are made on highways so that police can
detect drivers exceeding the speed limit. Over a fixed distance, the speed R
varies inversely with the time T. In one particular pair of markings, R is 59 mph
when T is 4 seconds. Find the speed of a car that travels the given distance in 5
seconds.
Please answer!!!
R = k(1/T) = k/T
when R = 60, T = 8
60 = k/8
k = 480
R = 480/T
so when T = 6
R = 480/6 = 80 mph
Jenna walks 12 miles in 5 days. Alex walks 15 miles in 6 days. Who walks more miles per day? Show your work to prove your answer.
Answer:
Alex walked more
Step-by-step explanation:
Jenna: 12/5= 2.4
alex: 15/6=2.5
it takes a 1/4 bottle glue to make slime if teacher has 15 bottles of glue how many bottles of slime can the 5th graders make
Answer:
60students
Step-by-step explanation: 4 x 15=60
This is because each bottle can make 4 slimes and if there are 15 bottles you multiply 4 by 15. Now you will receive 60.
Help me:) please and thanks
Answer:
The number is A 0.43
hoped that helped
What is the domain and range of this graph
Man just pay attention in school
Krutika is 11 years older than Gordon. Pip is 12 years younger than Gordon. If the total of their ages is 77, how old is the youngest of them?
Answer:
14
Step-by-step explanation:
Use the graph below to answer the question.
The statements that are true are:
a. The rate of change of segment T is decreasing
b. Difference between the rate of change of segments S and R is 3½
How to Find Rate of ChangeRate of change (slope) = change in y / change in x = rise/runRate of change for horizontal line/graph are always zero.To determine which statements are true, find the rate of change of each segment in the graph.
Rate of change for Segment R:
Segment R is horizontal, therefore the rate of change = 0.
Rate of change for Segment S:
Rate of change = rise/run = 7/2 = 3½.
Rate of change for Segment T:
Rate of change = rise/run = 8/-8 = -1.
Rate of change for Segment U:
Rate of change = rise/run = 5/3 = 2⅔.
The rate of change of segment T is negative, therefore, it is decreasing. (Option 1 is true).
Difference between Rate of change of segment S and R = 3½ - 0 = 3½. (Option 2 is also true).
Rate of change for segment T, -1, is less than rate of change for segment S, 3½. (Option 3 is not true).
Option 4 is false. Rate of change for segment U is rather 2⅔.
Option 5 is also not true. Segment R has a rate of change of 0.
Therefore, the statements that are true are:
a. The rate of change of segment T is decreasing
b. Difference between the rate of change of segments S and R is 3½
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Prove how they are congruent. Geometry:SSS
[tex]\huge \bf༆ Answer ༄[/tex]
For the given triangles to be congruent by SSS criterion, the sides HJ and LN should be equal ~
therefore correct choice is ~ C
[tex] \large \boxed{ \sf \: HJ \cong LN}[/tex]
The additional information needed to prove that both triangles are congruent by the SSS Congruence Theorem would be: C. HJ ≅ LN
Recall:
Based on the Side-Side-Side Congruence Theorem, (SSS), two triangles can be said to be congruent to each other if they have three pairs of congruent sides.Thus, in the two triangles given, the two triangles has:
Two pairs of congruent sides - HI ≅ ML and IJ ≅ MNTherefore, an additional information needed to prove that both triangles are congruent by the SSS Congruence Theorem would be: C. HJ ≅ LN
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Need A Ride Driving company charges a $1.50 flat rate in addition to $0.50 per mile for a car ride. Kathy has exactly $20.00 to spend on a car ride. The following equation represents this information: 1.50 + 0.50m = 20
The miles Kathy can ride is 37 miles.
Given this equation, 1.50 + 0.50m = 20, in order to determine the miles Kathy can ride, the following steps would be taken:
Combine similar terms
0.50m = 20 - 1.50
Add similar terms together
0.50m = 18.50
Divide both sides of the equation by 0.50
m = 37 miles
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Omar saved the same amount of
money each week for 4 weeks. He
wrote the equation below to show
how much he saved. In the equation,
Sis the total amount of money
saved, in dollars, and wis the
number of weeks.
S = 2.5w
Answer:
Omar saved 10 dollars in total
Step-by-step explanation:
total= 2.5*4
total= $10
What is this in terms of joules?
is it a. b. c. or d.
I may be wrong, but im pretty sure its C
Answer:
I might be wrong but I think it is B. or A.
Step-by-step explanation:
Solve for x. 4 1/2 ≤ 1.2x
x ≥ 3 3/4
x≤3 3/4
x≥5 2/5
x≤5 2/5
Step-by-step explanation:
4 1/2 < 1.2x
4.5 < 1.2x
4.5/1.2 < x
3.75 < x
3 3/4 < x
Option 2 is the correct answer
Answer:
the second one x<3 3/4 is the answer
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Answer:
3^3+4^3=91
3*3*3=27
4*4*4=64
27+64=91
At a local amusement park, 70% of the rides are made for kids who are 48 inches and taller. If there are 80 rides in total, how many are made for kids who are 48 inches and taller?
Answer:
56
Step-by-step explanation:
Basically you want to find out what is 70% of 80.
first you have to set up your problem
[tex]\frac{n}{80}[/tex] = [tex]\frac{70}{100}[/tex]
the first fraction would be the percent (70) over 100. (you always use 100)
The fraction to the left would be n over 80. the denominator (the number on the bottom) would be the whole amount. n would be the unknown number
To solve you would use the butterfly method. 80 x 70 and 100 x n. 80 x 70 is 5600 and 100 x n is 100n.
The final step is dividing. 5600 divided by 100 giving you 56
WILL MARK BRAINLIST PLS ANSWER ITS VERY IMPORTANT
Answer:
Step-by-step explanation:
a) 4th
b) 300
c) 2nd and 5th
If f(x) = x4 – 4x3 + 1, then what is the remainder when f(x) is divided by
X - 6?
Reminder = f ( 6 )
Thus :
[tex]f(6) = {6}^{4 } - 4( {6})^{3} + 1[/tex]
[tex]f(6) = 1296 - 864 + 1[/tex]
[tex]f(6) = 433[/tex]
Thus ;
[tex]remider = 433[/tex]
A. In a complete sentence, describe the angle relationship in the diagram. B. Find the value of x
Answer:
x = 30
Step-by-step explanation:
a) The sum of the angles along the line is 180°. That means ...
2x° +90° +x° = 180°
__
b) Subtracting 90° and dividing by 3° gives ...
3x° = 90°
x = 30
Answer:
a) supplamentary angles b) X= 30
Step-by-step explanation:
A) Equal to 180 b) 90 divided by 3 gives you 30
Please answer this ASAP LINKS WILL BE BANNED !!!
Solve for p.
P+3=p-4/2
A: p= -74
B: p= 74
C: p= 10
D: p= -10
Answer:
p = - 10
Step-by-step explanation:
I hope this helps. Good luck