Logan invested $180 in an account paying an interest rate of 2,6% compounded
continuously. Assuming no deposits or withdrawals are made, how much money, to
the nearest ten dollars, would be in the account after 12 years?
Answer:
250
Step-by-step explanation:
Compounded Continuously:
A=Pe^{rt}
A=Pe
rt
P=180 r=0.026 t=12
Given values
A=180e^{0.026(12)}
A=180e
0.026(12)
Plug in
A=180e^{0.312}
A=180e
0.312
Multiply
A=245.90784475
A=245.90784475
Use calculator (with e button)
A\approx 250
A≈250
Round to nearest ten dollars
please heart!
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By calculating on the basis of compound interest, after 12 years Logan will have $242.9 in his account.
What is a compound interest?Compound interest is a type of interest that is compounded after time period it is said to be compounded. After that particular period, the interest is calculated and then added with the principle. For the next duration, the interest is calculated on the sum.
Here, the amount of money after n years as per compound interest,
S = P(1 + r)ⁿ.
Where, P = Principle = $180, r = rate of interest = 2.6%, n = time period = 12 years
Now, S = $180(1 + 2.6/100)¹² = $180(1 + 0.026)¹² = $180(1.026)¹² = $242.9
Hence, after 12 years, Logan will have $242.9 in his bank account.
Learn more about compound interest here: brainly.com/question/25857212
#SPJ2
A credit card company applies a 6% fee on all transactions under $10. You purchased coffee for $4.80. What fee amount will be applied to your bill? * This is a required question
Answer:
$5.08
Step-by-step explanation:
Step one:
given data
We are told that a credit card company applies a 6% fee on all transactions under $10
since the cost of coffee bellow $10 that is $4.80, the 6% fee is applicable
so
=6% of 4.80
=6/100*4.80
=0.06*4.8
=$0.288
Step two:
the total fee will be
=0.288+4.80
= $5.08
1. solve for x
2(-3x+1) < -5x+14
2. -2(3x+15) less than or equal to 42
Answer:
For your first question, the solution is x> -12
Step-by-step explanation:
First, expand 2(-3x+1), writing it as -6x+2
Next, subtract both sides by 2;
-6x + 2 - 2 < -5x + 14 - 2
Then, we simplify;
-6x < -5x + 12
Next, add both sides to 5x;
-6x + 5x < -5x + 12 + 5x
Simplify;
-x<12
Then, multiply both sides by -1, using reverse of inequality;
(-x)(-1)>12(-1)
Finally, simplify;
x>-12
Answer:
The answer to your second question is x is greater than or equal to -12.
Step-by-step explanation:
First, multiply both sides by -1, reversing the inequality;
(-2(3x+15))(-1) greater than or equal to 42(-1)
Next, simplify;
2(3x+15) greater than or equal to -42
Then, divide 2 from both sides;
2(3x+15/2 greater than or equal to -42/2
Next, simplify;
3x + 15 greater than or equal to -21
Then, we subtract both sides by 15;
3x+15-15 greater than or equal to -21-15
Simplify;
3x greater than or equal to -36
Next, divide 3 from both sides;
3x/3 greater than or equal to -36/3
Finally, simplify;
x greater than or equal to -12
I hope we helped you answer your question.
what is 0.348 repeating with 48 only repeating as a decimal
Answer:
[tex]\frac{23}{66}[/tex]
Step-by-step explanation:
A museum requires a minimum number of chaperones proportional to the number of students on a field trip. The museum requires a minimum of 333 chaperones for a field trip with 242424 students.
Answer: See explanation
Step-by-step explanation:
Here is the complete question:
A museum requires a minimum number of chaperones proportional to the number of students on a field trip. The museum requires a minimum of 3 chaperones for a field trip with 24 students. Which of the following could be combinations of values for the students and the minimum number of chaperones the museum requires? Choose 2 answers.
A. Students: 72
Minimum of chaperones: 9
B. Students: 16
Minimum of chaperones: 2
C. Students: 60
Minimum of chaperones: 6
D. Students: 45
Minimum of chaperones: 5
E. Students: 40
Minimum of chaperones: 8
Since the museum requires a minimum of 3 chaperones for a field trip with 24 students. This means that there will be 24/3 = 8 students per chaperone.
We then divide the number of students given in the question by the number of chaperone to know our answers. This. Will be:
Students: 72
Minimum of chaperones: 9
This will be: 72/9 = 8
Therefore, this is correct.
B. Students: 16
Minimum of chaperones: 2
This will be: 16/2 = 8
This is correct
C. Students: 60
Minimum of chaperones: 6
This will be: = 60/6 = 10.
Therefore, this is wrong
D. Students: 45
Minimum of chaperones: 5
This will be 45/5 = 9
Therefore, this is wrong.
E. Students: 40
Minimum of chaperones: 8
This will be: 40/5 = 8.
Therefore, this is wrong.
Therefore, options A and B are correct.
What is the mean of this data set?
2, 3, 7, 4, 9
A. 4
B. 5
C. 6
D. 7
What is the range of {( -1,6), (2,0), (9,-3), (-4,6)}
Answer:
Range: {6,0,-3}
Step-by-step explanation:
How do you write 0.67 as a percentage?
Answer:
67%
Step-by-step explanation:
0.67 --> just move the decimal twice
Identify which triangle property of congruence proves the two triangles to be congruent,
Answer:
If the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle, the two triangles are congruent.
Step-by-step explanation:
If the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle, the two triangles are congruent.
Answer:
the HL property
Step-by-step explanation:
whats the simplified expression of the area 3 feet times 4c feet? I can't figure it out.
Answer:
12c ft.
Step-by-step explanation:
Since multipication is just repeated adding...
3·4c=4c+4c+4c=c+c+c+c+c+c+c+c+c+c+c+c=12c
Or you can do it like this: 3·4·c
3·4=12, 12·c=12c
Given that the following angles are vertical. What is the measure of the missing angle?
(i accidentally clicked 115 ignore that)
Answer:
65
Step-by-step explanation:
I just need 20 words in my answer oh and it's a vertical angle
Which of the following represents 3x - 5y+ 10 = 0 written in slope-intercept form?
oy=x-2
O y=x+2
O y=-3x+2
Answer:
[tex]y = \frac{3}{5}x + 2[/tex]
Step-by-step explanation:
3x - 5y + 10 = 0
-5y = -3x - 10
[tex]y = \frac{-3}{-5}x - \frac{10}{-5}\\\\ y = \frac{3}{5}x + 2[/tex]
Jennifer had 3 \frac{3}{4}
4
3
lbs of tomatoes. She used \frac{1}{3}
3
1
OF that amount to make a salad. How many pounds OF tomatoes did she use? (LEAVE ANSWER AS A MIXED NUMBER)
Answer:
She used 1/4 of a pounds for salad
Step-by-step explanation:
Here, we want to calculate the amount of pounds of tomatoes used to make salad
From the question, she has 3/4 pounds and used 1/3 of what she has to make salad
What she used will be;
3/4 * 1/3 = 1/4
Pls help me :)?!!!!!!!
Find the measure of one interior angle in each regular polygon. Round to the nearest tenth if necessary
Answer:
154.3
Step-by-step explanation:
Use the formula 180(x-2)
Then divide your answer by x
X is the number of sides
What is $47.25 marked down 60% PLEASE HELP 10 POINTS WILL GIVE BRAINLIEST
ANSWER:
$18.90
EXPLAINATION:
To solve, the key word here is "marked down". This means that it is going down by 60%. Subtract 100%-60% which is 40%. Now, always remember that 1% = 0.01. SO 40% will be 0.4.
Multiply 47.25x0.4 = answer
18.90 will be the answer
solve for x please
Answer:
129
Step-by-step explanation:
The sum of all angles in any quadrilateral is 360°
so, you can make the following equation:
71 + 48 + 112 + x = 360
231 + x = 360
Subtract 231 from both sides of the equation
231 + x - 231 = 360 - 231
x = 360 - 231
x = 129
Step-by-step explanation:
The given image is a trapezium. A trapezium is a quadilateral. Hence , it's sum of angles is 360°
To solve for x ;
[tex]71° + 48° + 112 ° + x° = 360° \\ 231 + x = 360 \\ x = 360 - 231 \\ x = 129[/tex]
Anna purchased a new car for $25,000. The car will decrease in value 15% each year.
The value of Anna's car is modeled on the graph by function f where x is the time in years after Anna purchases her car.
I will assume that we want to find the function that predicts the value of the car after x years, which likely is an exponential decay.
The function is: f(x) = $25,000*(0.85)^x
And the graph can be seen at the end of the answer.
We know that the value of the car decreases by 15% each year, then we can model this with an exponential decay.
The general exponential decay is given by:
f(x) = A*(1 - r)^x
Where:
A is the initial value, then we have A = $25,000
x is the variable, in this case, would represent time in years.
r is the rate of decay, in this case, is the quotient between the percentage that decreases and 100%, so we will get: r = 15%/100% = 0.15
Then the exponential equation is:
f(x) = $25,000*(1 - 0.15)^x
= $25,000*(0.85)^x
This is the function that models the value of the car after x years, the graph can be seen below.
If you want to learn more, you can read:
https://brainly.com/question/19599469
Look at the picture!!! Which of the following set of coordinate points are ALL solutions to the given system of inequalities? (0, 3); (1, 0); (0, 2) (2, 0); (0, 2); (0, 1) CO, OD: (0, -D: (-1, 0)
Answer:
soo whats the question
please repost question without this drawings
Order the Numbers from least to greatest
8.1 x 10-5
6.5 x 10-4
5.2 x 10-3
Which of the following is an arithmetic sequence?
A.
3, 9, 81, 6561, …
B.
4, 1, −2, −5, …
C.
2, −2, 2, −2, …
D.
4, 1, 4, 7, …
Answer:
D
Step-by-step explanation:
Answer:
It's the B
Step-by-step explanation:
The arithmetic sequence here is made by subtracting 3 every time
Hope this helps, have a good day
Which of the following triangles is a unique triangle that could not be
rearranged into a different size or shape?
Answer:
im pretty sure its option 3
Step-by-step explanation:
its unique
Answer:
Option 2
Step-by-step explanation: Option 2 is the only one with all three angles. this leads to it not being able to change shape without messing this size and angles up.
this is dueeeeeee tomorow please help
Answer:
What’s the question?
Step-by-step explanation:
fine the slope of the line that passes through the points (2,4) and (3,-2)
Answer:
slope = -6
Step-by-step explanation:
slope = Δy/Δx
slope = (4+2)/(2-3)
= 6/-1
slope = -6
A warehouse is used as a grannary. It is in
the shape of a cuboid surmounted by a
half-cylinder. The base of the warehouse is
6 m x 14 m and its height is 8 m. Find the
surface area of the non-cuboidal part of the
warehouse.
Answer:
7467.4 square meters djdkdkdmmdkd
Plsss help I’ll give u brainlest and 10 points
I will will give brainliest to whoever answers correct
(Please I need this ASAP )
Answer:
1=3.5 2=10/3
Step-by-step explanation:
they pass each other at the point (3.5,3).
if you find the exact form for both equations you get 10/3 for both
Find the exact length of the third side.
68
51
Answer:
The value of c is:
c=85 unitsStep-by-step explanation:
Given the right-angled triangle
a=68b=51And we have to determine the value of the hypotenuse 'c'.
c=?
Pythagorean Theorem:
For a right-angled triangle with sides a and b the hypotenuse c
[tex]c=\sqrt{a^2+b^2}[/tex]
[tex]a=68[/tex]
[tex]b=51[/tex]
[tex]c=\sqrt{68^2+51^2}[/tex]
[tex]c=85[/tex] units
Thus, the value of c is:
c=85 units
What’s the equation for the translation of y=|x|?
Answer:
d) y = IxI + 4
Step-by-step explanation:
Makayla's car used 4 gallons to travel 148 miles. How many miles can the car go on one gallon of gas?
Answer:
34
Step-by-step explanation:
184 divided bye 4
Answer:
37 miles
Step-by-step explanation:
148/4