Answer:
She has to invest $5,160 for the value of the account to reach $7,600 in 7 years.
Step-by-step explanation:
Continuous compounding:
The amount of money earned, after t years, in continuous compounding, is given by:
[tex]A(t) = A(0)(1+r)^t[/tex]
In which A(0) is the value of the initial investment and r is the interest rate, as a decimal.
Lillian is going to invest in an account paying an interest rate of 5.7% compounded continuously.
This means that [tex]r = 0.057[/tex]
How much would Lillian need to invest, to the nearest ten dollars, for the value of the account to reach $7,600 in 7 years?
We have to find A(0) when [tex]A(t) = 7600, t = 7[/tex]
So
[tex]A(t) = A(0)(1+r)^t[/tex]
[tex]7600 = A(0)(1+0.057)^7[/tex]
[tex]A(0) = \frac{7600}{(1.057)^7}[/tex]
[tex]A(0) = 5156[/tex]
To the nearest ten dollars, she has to invest $5,160 for the value of the account to reach $7,600 in 7 years.
A pool can be filled by one pipe in 8 hours and by a second pipe in 9 hours. How long will it take using both pipes to fill the pool?
The number of siblings a student has and the grades they have in math class.
A.
Positive correlation
B.
Negative correlation
C.
No correlation
Please help me out on this questionnnnn
Answer:
20 cubic feet.
From feet: length (ft) × width (ft) × height (ft) = cubic feet.
From inches: length (in) × width (in) × height (in) ÷ 1728 = cubic feet.
From yards: length (yd) × width (yd) × height (yd) × 27 = cubic feet.
If you need to convert to cubic feet from inches: divide the final number (i.e. the total you get after multiplying the three dimensions together
find the square root of 14+6√5
Answer:
3 + √5
Step-by-step explanation:
Find the square root of 14+6√5
Change to √ ( 14 + 6√5 ) = √x + √y
1️⃣ Square.
14 + 6√5 = x + y + 2√xy
14 + 2√45 = ( x + y) + 2√xy
2️⃣ Compare.
(x + y) = 14
xy = 45
3️⃣ Solve.
(x - y)² = (x+y)² - 4xy
( x - y)² = 14² - 180
( x - y)² = 196 - 180
( x - y)² = 16
( x - y) = 4
x + y = 14
x - y = 4
2x = 18
x = 9 .
y = 5 .
14 + 6√5 = √9 + √5 = 3 + √5 .
Answer: 3 + √5 .
Done ✔
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Answer: What is this free?
Answer:
yes
Step-by-step explanation:
yes+yes(no-no)
=yes
Can u tell me how to do step by step using pemdas please
Answer:
24
Step-by-step explanation:
PEMDAS is an acronym for the order of operations.
P: Paranthesis
E: Exponents
M: Multiplicating
D: Division
A: Addition
S = Subtraction
(Note that division and multiplication are in the same "stage" and don't take priority over one another.)
10 + 4 / 2 x (5 - 1 + 3)10 + 4 / 2 x 710 + 2 x 710 + 1424Answer:
Step-by-step explanation:
you want to know the precedence of order.
the P is parenthesis... do those 1st
/ = this is also a divide sign
10 + 4 ÷ 2 x (5 - 1 + 3 ) ( go left to right, as if reading inside parenthesis )
10 + 4 ÷ 2 x (7) now to multiplication and division going left to right again)
10 + 2 x7
10 + 14
24
The length of ZX is 2 units.
What is the perimeter of triangle XYZ?
Answer:
5+3 square root of 5 units
Please anyone see if I did this correct let me know the missing number for the bottom part. I upload it
Answer:
you got it!
Step-by-step explanation:
Answer:
You did do it correct!
For questions 21 and 22 is their a certain way you have to fill in the missing numbers?
I would do...
21. 2 and 5
22. 10 and 10
I am not sure though if there is a correct way to answer those two questions.
Step-by-step explanation:
If you make a batch of cookies and your sister eats 10% of them, what percent remains?
Answer:
I love cookies
Step-by-step explanation:
Answer:
90%
Step-by-step explanation:
1 batch would be the same as 100%
So, 100%-10%=90%
Hope I helped you!!!!!
Kali runs 20 laps around the track each day.Each lap around the track is 400 meters. How many days will it take kali to run a total or 12 kilometers?
Answer:
Step-by-step Explanation:
Answer:
1 and a half days
Step-by-step explanation:
400 meters x 20 laps = 8000 meters
12 kilometers - 12000 meters
1day- 8000 meters
12000 meters-8000 meters= 4000 meters
8000÷4000=2
1 day and a half
1. Exercise 18, section 3.1. Let D be the set of all students at your school and let M(s) be "s is a math major", let C(s) be "s is a computer science major" and let E(s) be "s is an engineering major". Express each of the following statements using quantifiers, variables and the predicates M(s), C(s), E(s). a. Every computer science student is an engineering student b. No computer science students are engineering students c. Some computer science students are also math majors.
Answer:
∀s ∈ D, C(s) - - - > E(s)
∀s ∈ D, C(s) - - - > ~ E(s)
∃s ∈ D such that M(s) ∧ C(s)
Step-by-step explanation:
D = set of all students
M(s) = s math major
C(s) = s Computer science major
E(s) = s Engineering major
Expressing the following using quantifies variables and predicates :
A.) Every computer science student is an engineering student
∀s ∈ D, C(s) - - - > E(s)
b. No computer science students are engineering students
∀s ∈ D, C(s) - - - > ~ E(s)
c. Some computer science students are also math majors
∃s ∈ D such that M(s) ∧ C(s)
∃s = Existential Domain
∀s = universal
∧ = connective and
~ = not
∈ = belongs to
• Which graph represents the inequality 3 > 15?
Answer:
The second one
Step-by-step explanation:
Hey umm how do you make your stressed mom feel better?
Answer:
Help her around the house.
Step-by-step explanation:
If shes like nice sometimes, then go hug her or give her some water.
PLEASE HELP WILL GIVE BRAINLIEST "Find the value of f, correct to two decimal places."
Answer:
5.93 is the answer....
Hope it helps!!!
Solve and show work please! Help is appreciated ♥️
Answer:
16 pi
Step-by-step explanation:
Since 2r is the circumference and the radius is 8, it's 8 x 2 which gives you 16. You don't need to add in the pi since they already gave you at the options.
Jackie correctly solved this equation:
4/x-2+1/x^2-4=1/x+2
Which statement describes the solutions she found?
Answer:
answer is A
Step-by-step explanation:
took the test :)
The option (A) she found one valid solution and no extraneous solution is correct, and x = -11/3 or -3.66.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have the equation:
[tex]\rm \dfrac{4}{x-2}+\dfrac{1}{x^2-4}=\dfrac{1}{x+2}[/tex]
After taking LCM
4x + 9 = x - 2
x = -11/3
or
x = -3.66
Thus, option (A) she found one valid solution and no extraneous solution is correct, and x = -11/3 or -3.66.
Learn more about the expression here:
brainly.com/question/14083225
#SPJ2
Find the solution of the system of equations. -3x – 2y = 36 3х – 5y = 6
Answer:
y = -6
x = -8
Step-by-step explanation:
I hope you can read my handwriting.
Have a wonderful day!
Mary, John and Sue are working on a large project. From past experience it is estimated that Mary would require 45 days to complete the project, John would require 50 days, and Sue would require 60 days. If they work together, what would be the estimated number of days required to complete this project?
Which of the following are dependent events? Select all that apply.
You draw a marble from a bag, replace it, and draw again.
You flip a coin and roll a number cube.
You draw two numbers from 1 to 10 from a hat without replacing them first.
You randomly choose two socks from a drawer, hoping they will match.
Answer: all
Step-by-step explanation:
Answer: You randomly choose two socks from a drawer, hoping they will match.
You draw two numbers from 1 to 10 from a hat without replacing them first.
Step-by-step explanation:
dependent events: compound events in which one event affects the likelihood of the other event
independent events:compound events in which one event does not affect the likelihood of the other event
ill mark brainlist plss help
it is oxygen no doubt about it
PLEASE I NEED HELP THIS NEEDS TO GET DONE SOON AND IM STUCK):
Question 2 Multiple Choice Worth 2 points) (06.03) For the expression y + 6 - 3, determine the coefficient for the variable term 1 06
Answer:
1
Step-by-step explanation:
whenever there is a varible alone the coefficient is 1
Siobhan makes jewelry to sell online and wants to
charge prices comparable to other similar listings.
What is Siobhan's hourly wage if it takes her
2.5 hours to make each piece of jewelry? Enter your
answer as a whole number, such as: 14.
Cost of supplies
$6.50
Seller fees
12% of selling price
Average price of similar listings
$80
Sales tax
8% of selling price
2.5
6,50
Answer:
23
Step-by-step explanation:
In ΔTUV, the measure of ∠V=90°, the measure of ∠T=52°, and UV = 7 feet. Find the length of VT to the nearest tenth of a foot.
Answer:
5.5 feet
Step-by-step explanation:
Answer:
5.5 feet
Step-by-step explanation:
We have VT adjacent to angle T.
We know that VU, side length that is opposite to T, is 7.
We use the TAN function, which is opposite/adjacent, on T :)
tan(52) = 7/x
x tan(52) = 7
x = 7/tan(52) =~ that's around 5.469 --> 5.5 feet
YAS
2 more help !!!!!!!!
I will give brainliest. any irrelevant awnsers will be flagged :). pls help.
Answer:
it is B
Step-by-step explanation:
hope it helps :) have a nice day!
Factorise
3ab + 3a + 2b + 2
Answer:
3ab + 3a + 2b + 2
3a(b+1)+2(b+1)
(b+1)(3a+2)
Solve for the unknown in the following diagram. Round the answer to two decimal places.
cm
Answer:
Step-by-step explanation:
Mark wants to paint a mural He has 1 1/8 gallons of yellow and 7/8 of blue. Mark plans to use 3/4 gallon of each paint color. How many gallons of paint will he have left over after painting the mural?
Answer:
1/4 gallon of yellow of paint and none of the blue paint
Step-by-step explanation:
The diagram shows the repairs preformed on two types of cars. Compare the car types using the median or mean.
Answer:
there is no diagram
Step-by-step explanation:
you will need to edit this question so that way we can see the diagram
Answer:
The median is the same for both car types, but Bandits have the lower mean.
Step-by-step explanation:
I took the Iready quiz and got the question right. Hope this helps!
Need help with radius and diameter pls hurry points and I will give brainlest
Answer:
the radius is 9 and the diameter is 18