Answer:
The account balance will be $10,866 after 14 years
Step-by-step explanation:
Compound continuous interest can be calculated using the formula:
[tex]A=Pe^{rt}[/tex]
A = the future value of the investment, including interestP = the principal investment amount (the initial amount)r = the interest rate t = the time the money is invested forLet us use this rule to solve the question
∵ Ali invests $4,078 in a retirement account
∴ P = 4,078
∵ The account with a fixed annual interest rate of 7% compounded
continuously
∴ r = 7% = [tex]\frac{7}{100}[/tex] = 0.07
∵ The time is 14 years
∴ t = 14
Substitute these values in the rule above to find A
∵ [tex]A=4,078(e)^{0.07(14)}[/tex]
→ Use the calculator to find the value of A
∴ A = 10,865.65255
→ Round it to the nearest dollar
∴ A = $10,866
∴ The account balance will be $10,866 after 14 years
The mean test score of 28 students is 72.
A student joins the class and the mean becomes 71.
Find the test score of the student who joined the class.
Test score =
Answer:
test score of new student = 43
Step-by-step explanation:
28 x 72 = 2016 (total points class scored)
29 x 71 = 2059 (total points class scored after student joined)
2059 - 2016 = 43
The test score of the student who joined the class is 43.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
The mean test score of 28 students is 72.
A student joins the class and the mean becomes 71.
We have to find the test score of the student who joined the class.
28 x 72 = 2016
29 x 71 = 2059 (total points class scored after student joined)
The difference between 2016 and 2059 is the test score of new student.
2059 - 2016 = 43
Hence, the test score of the student who joined the class is 43.
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If A = –2x + 8 and B = 2x – 4, find an expression that equals 2 A + B
in standard form.
Answer:
Answer: -2x+12
Step-by-step explanation:
So, it says the expression equals 2A + B. That means you need to multiply the equation for A by 2 and then add the equation of B to it. The question is asking you to write it in standard form. It would look like this:
2(-2x+8) + 2x-4
-4x+16+2x-4
-2x+12
Which transformation can be used to show that LMN is similar to PQR?
A. Dilation, reflection
B. Reflection, translation
C. Rotation, dilation
D. Translation, rotation
I need help on this question
Answer:
alright so after it said 4 count by 4 so 4 8 12 16 18 and until u get to 18 go by 2 i think
Find the unit rate. 13.00 for 2 books?
Answer:
= 6.5 dollars per book
Step-by-step explanation:
This is a fraction equal to
13 dollars ÷ 2 books
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 2.
Answer:
6.5 per book
divide 13 by 2
Step-by-step explanation:
What is -9 over 22 divided by -3 over 4 in fractions?
Answer: 6/11
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
You'll need to make compatible numbers first. Turn 22 to 44 and 4 to 11. Then change -9 to -18 and -3 to -6. -9 times -3 equals 3. and 44 divided by 11 is 4. So your answer is 3/4
Evaluate
14
P
- 4 - 2h when p=1 and h=4.
Answer:
Step-by-step explanation:
Putting values into the equation
14(1) - 4 - 2(4)
14 - 4 - 8
10 - 8 = 2
What is the distance between (8, -3)and (4,−7)?
Answer:
+4sqrt(2)
Step-by-step explanation:
Note that the horizontal distance is 8 - 4, or 4 (which is the "run") and that the vertical distance is -3 - (-7), or 4 (which is the "rise"). Applying the Pythagorean Theorem, we get:
distance = length of hypotenuse = +sqrt(4^2 + 4^2) = +4sqrt(2)
To win a contest, the number of beans in a jar has to be guessed within 20 of the actual number. If the number of beans in the jar is 645, which equation can be used to find the minimum and maximum number of beans that will win the contest, and what is the maximum guess that could win?
|x – 645| = 20; maximum guess: 635 beans
|x – 645| = 20; maximum guess: 665 beans
|x – 20| = 645; maximum guess: 635 beans
|x – 20| = 645; maximum guess: 665 beans
Answer:
B
Step-by-step explanation:
Just took the test on edge 2020
The maximum guess that could win is,
⇒ |x - 645| = 20; the maximum guess is 665.
Therefore, Option b is correct.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Since, We have given the information that the jar has to be guessed within 20
So, the total has to be equal to 20.
Hence, the equation which is the required equation to calculate the minimum and maximum number of beans that will win the contest is,
|x - 645| = 20
When we will remove the modulus we will get two values + and -
So, x = 20 + 645 = 665
And x = 20 - 645 = -625
Hence, the maximum guess is 665.
Therefore, Option b is correct.
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Write an equation for the line that passes through the given point and is parallel to the
graph of the given equation. Write your final equation in slope-intercept form.
2. 3x + 4y = 12; (-4,7)
is 27/2 a rational number?
HELP!
-1/2- + 2 = -x + 7
A. 10
B. 5/2
C. 2/5
D. 20
Answer:
C.5/2
Step-by-step explanation:
-1/2+-2=-x+7 simplify
-5/2=-x+7 subtract 7 from both sides
x=5/2
Lily loves horses. Recently, a hurricane traveled through an area of Texas were there is a dense population of horses. Lily can get food for the horses for $0.30 per pound and medical supplies for $.40 per pound. An anonymous donor pledged $8,000 to the effort and has offered to send his plane which can hold 20,000 pounds of cargo to transport the food to the relief effort location. Let x = Number of pounds of Horse Food Let y = Number of pounds of Medical Supplies
Step-by-step explanation:
Let x = Number of pounds of Horse Food
Let y = Number of pounds of Medical Supplies
so
0.3x+0.4y=8000----1
x+y=20000-----------2
multiply eqn 2 by 0.3 to eliminate x we have
0.3x+0.4y=8000
0.3x+0.3y=6000
-0+0.1y=2000
0.1y=2000
y=2000/0.1
y= 20000
put y=2000 in eqn 2
x+20000=20000
x=20000-20000
x=0
its quite unfortunate that for her to maximize the opportunity and the money she has to carry 20,000 pounds of only Medical Supplies
What is the range of the function shown in this table? х3 4 5 6 y4 4 2 5 A. (3, 4), (4, 4), (5, 2), {6, 5{ B. {3,4,5,6} C. {3, 4} D. {2,4,5}
The answer fam is............ D. {2,4,5}
brainly wont lemme do nun
Answer:
why tho bro bro
Step-by-step explanation:
why tho bro bro
i will mark you as brainliest please help!!
Answer:
y=x
Step-by-step explanation:
y1 is -4 and x1 is -4 so I think that's the amswer
Min read his book for 1/3 hour before dinner. He read his book for 1 1/4 hours after dinner. Altogether, how many hours did min read his book?
Answer:
1 7/12
Step-by-step explanation:
The answer is 1/3+1 1/4 and if you make them common fractions it is 4/12+1 3/12=1 7/12
Answer:37/12
Step-by-step explanation:
1/3+11/4=37/12
HELP!!!
For which one month. What is the rate of change in rainfall amounts in Springfield the greatest?
Please help Math answers
Answer:
on example 1, both are right triangles.
Question 4 of 32 Jacob is a construction worker who earns a yearly income given by the expression 2000x + 3000, where x is the number of hours he works each week. Carlos works with Jacob and earns a yearly income given by the expression 3800x – 40000. A manager predicts that if Carlos and Jacob each work 35 hours, they will earn the same amount of money.
PART A:The number of hours that makes the equation true is
Options: 24, 27, 29,31,34
PART B:Round your answer to the nearest whole number. The manager's prediction is
Options: equal to, less than, greater than
the actual number of hours that Carlos and Jacob need to work to earn the same amount of money.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the expression :
Jacob's yearly income :
2000x + 3000 ; x = number of hours worked per week.
Carlos income :
3800x - 40000
Managers prediction = 35
Jacob.: 2000(35) + 3000 = 73000
Carlos : 3800(35) - 40000 = 93000
Carlos will earn more than Jacob given the manager's prediction.
Number of hours required so they can earn the same amount :
2000x + 3000 = 3800x - 40000
3000 + 40000 = 3800x - 2000x
43000 = 1800x
x = 43000/1800
x = 23.88
x = 24 hours
A car travels at 20 m/s for 15 seconds before it comes to rest by decelerating at 2.5 m/s2
Find the total distance travelled.
Answer:
80 m
Step-by-step explanation:
From the question;
Initial velocity, u, = 20m/s
Time = 15 s
deceleration= -2.5 m/s² ------negative acceleration
The formula to apply is;
v²=u²+2as
where v is the final velocity = 0m/s and s is the total distance travelled.
Applying the formula as;
v²=u²+2as
0²=20²+ 2*-2.5*s
0=400+ -5s
0=400-5s
5s= 400
s= 400/5 = 80
s= 80 m
The total distance travelled is 80 m.
y=x-2
HELP MY RSM IS TOMORROW
Graph the lines given by the equation
Answer:
make a line going through points (2,0) and (0,-2) I put a picture.
Step-by-step explanation:
What is the value of x?
Enter your answer in the box.
Step-by-step explanation:
114° thats what i got when i calculated
Which inequalities have -0.5, 2.5, and 4 as part of the solution set? Select all that apply.
Z >-3
z <5
Z <4
Iz < 4
Z > 0
Answer:
A, B, D
Step-by-step explanation:
i just did it on edge
Answer:
its true
Step-by-step explanation:
1 2 4
I need help plz and plz explain why plz
Answer:
156 minutes
Step-by-step explanation:
2 hrs=120 minutes
3/5 hr=3/5 *60=36 minutes
120+36=156 minutes
hope this helps
brainliest?
Answer:
156 minutes
Step-by-step explanation:
2*60=120
.6*60=36
36+120-156
Brainliest Appreciated!
1. Five times a number minus 4 is 6.
what is the value of x in the equation 3(x-2)+4x=10(x+1)
Answer:
-16/3 =x
Step-by-step explanation:
3(x-2)+4x=10(x+1)
Distribute
3x -6 +4x = 10x +10
Combine like terms
7x -6 = 10x+10
Subtract 7x from each side
7x-6-7x = 10x-7x +10
-6 = 3x+10
Subtract 10 from each side
-6-10 = 3x+10-10
-16 = 3x
Divide by 3
-16/3 = 3x/3
-16/3 =x
Determine the measure of ∠Y. images attached
Answer:
The answer is option CStep-by-step explanation:
Since it's a right angled triangle we can use trigonometric ratios to find the value of ∠Y
To find the value of ∠Y we use tan
We have
[tex] \tan(∠Y) = \frac{25}{20} \\ \tan(∠Y) = \frac{5}{4} \\ ∠Y = { \tan^{ - 1} } \frac{5}{4} \\ ∠Y = 51.34019...[/tex]
We have the final answer as
51.34°Hope this helps you
Answer:
C
Step-by-step explanation:
Using the tangent ratio in the right triangle
tanY = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{XZ}{XY}[/tex] = [tex]\frac{25}{20}[/tex] , thus
∠ Y = [tex]tan^{-1}[/tex] ( [tex]\frac{25}{20}[/tex] ) ≈ 51.34° → C
9.36 divided by 0.52
Answer:
9.36 / 0.52 = 18
Step-by-step explanation:
Divide them.
which expression is equivalent to 0.17w + 0.77 + w? -0.77 + 1.17w
-0.17w + 1.77
-1.94w
-1.6w
Answer:
113.29w +1.77
Step-by-step explanation: