Given:
Principal value = $12000
Rate of interest = 2.5%
To find:
Total amount after 15 years.
Solution:
Formula for amount discontinuously compounded interest is
[tex]A=Pe^{rt}[/tex]
where, P is principal, r is rate of interest and t is time in years.
Substitute P=12000, r=0.025 and t=15 in the above formula.
[tex]A=12000e^{0.025(15)}[/tex]
[tex]A=12000e^{0.375}[/tex]
[tex]A=12000(1.45499141462)[/tex]
[tex]A=17459.8969754[/tex]
[tex]A\approx 17459.897[/tex]
Therefore, the amount after 15 years is $17459.897.
what is 7.5% of 61.13
Answer:
Step-by-step explanation:
61.13*7.5%=4.58
61.13+4.58=65.71
Which expression represents an irrational number? A 0.18 repeating, b 2/3 ,
Answer:
I think it's A hope this helps
Claire is making picnic lunches. She has 12 sandwiches, 18 apples and 30 pieces of candy. What is the greatest number of lunches she can make if she wants to have the same number of each kind of food in each lunch? *
PLEASE HELP!!
Answer:
57472
Step-by-step explanation:
The function f is continuous on the interval (0,9) and is twice differentiable except at x = 6, where the derivatives do not exist (DNE). Information about the first and second derivatives of f for some values of x in the interval (0,9) is given in the table above. Which of the following statements could be false?
Answer:
The statement that could be false is;
(C) The function has a relative minimum at x = 6
Step-by-step explanation:
The given parameters are;
The function is continuous in the interval 0 ≤ x ≤ 9
The function is not differentiable at x = 6
f prime (x) = Negative for 4 < x < 6, and positive for 6 < x < 8
Therefore, at x = 6, the function is vertical
The statement that could be false is that the function has a relative minimum at x = 6.
A continuous function f(x) does not have discontinuity at any point
The statement that could be false is (c). The function f has a relative minimum at x = 6.
The interval is given as:
Interval = (0,9)
From the question, we understand that the function is not differentiable at x = 6.
This means that the function may or may not have a relative minimum at x = 6.
Hence, the statement that could be false is (c).
Read more about continuous functions at:
https://brainly.com/question/21447009
−4(32x−12)=−15 as distribute property
Can you help me please
2.5
Step-by-step explanation:
Multiply 2.5 by y and you get x
6th grade math i mark as brainliest
Answer:
3x5 are factors of 75
Step-by-step explanation:
good day mate
Answer:So, the prime factors of 75 are written as 3 × 5 × 5 or 3 x 5^2, where 3 and 5 are the prime numbers.
Step-by-step explanation:Step 1: Start by dividing the number by the first prime number 2 and continue dividing by 2 until you get a decimal or remainder. Then divide by 3, 5, 7, etc. until the only numbers left are prime numbers. Step 2: Write the number as a product of prime numbers.
mark as the brainliest
One factor of this polynomial is (2x − 1).
2x^3 + 5x^2 - 27x +12
Use long division to determine which expression represents the other factor.
answer choices:
x2 − 3x + 12
x2 + 3x − 12
x2 − 12x + 3
x2 + 12x − 3
Answer:
B: x^2+3x-12
Step-by-step explanation:
The time spent to travel a certain distance varies inversely as a car's speed. If it takes 5½ hours to travel a certain distance at 60 miles per hour, how long will it take to travel the same distance at 50 miles per hour?
Select one:
a. 6.6 h
b. 6.9 h
c. 4.6 h
d. 4.2 h
Answer:
6.6h
Step-by-step explanation:
So it takes 5.5 hours going at a speed of 60 miles per hour, multiply these two and we get a distance of 330 milesUse this distance to find the time if speed is 50 miles per hour, so time is derived by dividing the distance by the speed330 miles divide by 50 miles per hour gives 6.6 hoursRecall that two angles are complementary if the sum of their measures is 90°
Find the measures of two complementary angles if one angle is 14º more than three times the other angle.
Find the value of x that makes m
|| n
Answer:
X= 15
Step-by-step explanation:
3x - 15 + 150 = 180
X = 15
An ice cream factory makes 230 quarts of ice cream in 5 hours. What is the constant of proportionality?
A:41
B:46
C:225
D45
Answer:
C
Step-by-step explanation:
A 0.7 kg toy car accelerates at 0.5 m/s2. The FORCE is...
0.35 m/s2
0.35 kg
0.35 N
Answer:
[tex]\boxed {\boxed {\sf 0.35 \ N}}[/tex]
Step-by-step explanation:
Force can be found by multiplying the mass by the acceleration.
[tex]F=m*a[/tex]
The mass of the toy car is 0.7 kilograms and the acceleration is 0.5 m/s²
[tex]m= 0.7 \ kg \\a= 0.5 \ m/s^2[/tex]
Substitute the values into the formula.
[tex]F=0.7 \ kg * 0.5 \ m/s^2[/tex]
Multiply.
[tex]F=0.35 \ kg*m/s^2[/tex]
1 kg*m/s² is equal to 1 Newton. The units for force are Newtons.Therefore, our answer of 0.35 kg*m/s² is also equal to 0.35 Newtons[tex]F= 0.35 \ N[/tex]
The force of the toy car is 0.35 Newtons
Answer:
(45 kg)(4.1 m/s)2 = 120 N
Step-by-step explanation:
10 points
What are a few things that help you focus while doing an assignment? (I need help focusing on a math test)
Please dont say unlogical answers, thanks!
Answer:
chewing gum can help
also taking breaks every time you feel like you need one, make sure you eat before doing a test as-well
Step-by-step explanation:
Answer:
i like to make sure i have a healthy breakfast and a big glass of water, that always helps. sometimes going for a 30 minute walk could help, listening to music also helps me
Step-by-step explanation:
hope this helps ;)
Find the area of a sector with a central angle of 126 degrees and a radius of 11.8 m. Round to the nearest tenth.
Answer:
The area would be 13.
Step-by-step explanation:
Lily plans to paint a stencil design on the wall in her room the stencils has one part yellow 3 Part Blue and 4 parts are blue and 4 parts are white .The area of the the walls that she must paint is 480 square feet a quart of paint approximately covers 80 square feet .what is the minimum amount of paint that Lily needs to buy
Answer and explanation:
Since a quarter(1/4) of paint covers 80 square feet, a whole paint would cover 80×4= 320 square feet of the wall
Remaining part of the wall left unpainted after using one whole paint
480-320= 160 square feet
Therefore paint required for remaining unpainted part
= 160/80= 2 quarters of paint(1/4+1/4)= 1/2 paint
Total paint required for the wall = one whole paint + half paint = 1+1/2= 1 1/2
Total paint required is one and half
Or
We divide area of wall by area of wall covered by each quarter
480/80=6 quarters of paint
6 quarters of paint = 1/4+1/4+1/4+1/4+1/4+1/4
We still get same answer
= 1 1/2
Answer: A 1 quart yellow, 2 quarts blue, 3 quarts white
Step-by-step explanation:
if u divide 480 by 80 you will get 6 so u will only need 6 quarts of paint.
apples cost $1 each and oranges cost $2 each. Noah has $10 to spend at the produce market. Can he buy 7 apples and 2 oranges? Explain or s reasoning. HELP NEEDED ASAP WILL GIVE 5 STARS AND BRAINLIEST
Answer:
apple= $1
orange=$2
Noah has total $10
He can't buy 7 apples and 2 orange
Step-by-step explanation:
7 apple= $7
2 orange= $4
7+4=11
And Noah only has $10
The manager of a shopping center wishes to obtain information on the shopping habits of people in the area. The area contains four neighborhoods of varying populations. The manager suspects that the shopping habits may be different in different-sized neighborhoods. Which of the following sampling designs would be most effective in gathering the information the manager requires?
A. a convenience sample from the area
B. a simple random sample from the area
C. a cluster sample using the neighborhoods as clusters
D. a stratified sample from the neighborhoods in the area
E. an online poll that invites all people from the neighborhoods in the area to participate
Answer:
defintly A
Step-by-step explanation:
because all the others are inconvenient and bad
Answer:
D
Step-by-step explanation:
Because you want to be able to see data from all neighborhoods.
Which number is a rational number?
Answer:sq rt of 49
Step-by-step explanation:
please help asap nobody else has answered my other questions. thanks! answer question 2 please!
Answer:
15
Step-by-step explanation:
To find the y intercept set x=0
You are given two points: (7,-6)(-4,27)
y=mx+b
y2-y1=x2-x1
x1=7
y1=-6
x2=-4
y2=27
27-(-6)/-4-7=27+6/-4-7=33/-11=-3
y=-3x+b
-6=-3(7)+b
-6=-21+b
+21 +21
b=15 so, y=-3x+15
PLUG IN O TO THAT EQUATION
y=-3(0)+15
Your y intercept would be 15
Solve equation. -15 + (-8)=
Answer:
The answer is - 23
Step-by-step explanation:
- 15 + (-8) =
- 23
Given: If you live in Orlando, then you live in Florida.
Given: Morgan does not live in Orlando.
Conclusion: Morgan does not live in Florida.
Is this sentence Law of Detachment, Law of syllogism, or invalid
Answer:
The law of detachment and syllogism is valid here
Explanation:
The law of detachment and syllogism is associated with inductive reasoning. This law states that a conclusion is valid if the premise or hypothesis is valid, therefore if a then b. In others a results in b.
The law of detachment is denoted
[(a→b)∧a]→b
The law of syllogism derives from the law of detachment. Syllogism says that if a results in b and b results in c, then a results in c. In other words since a causes b and b causes c, then if a then c.
It is denoted
[(a→b)∧(b→c)]→(a→c)
In the above example, given: If you live in Orlando, then you live in Florida
Morgan does not live in Orlando, therefore it is concluded that he does not live in Florida
Arya travels at an average speed of 30 mph for 40 miles. Without stopping, Arya then travels 120 miles in 2.25 hours. Find her average speed for the entire journey to 2 dp.
Answer:
44.69 mphStep-by-step explanation:
Speed = distance/time
Distance is:
40 miles + 120 miles = 160 milesTime is:
40/30 + 2.25 = 3.58 hoursAverage speed:
160/3.58 = 44.69 mphPLZ HELP!!!
WILL GIVE BRAIN!!!
Answer:
29
Step-by-step explanation:
What’s the value for y? PLEASE!!
Answer:
the answers Is c or 13 because 3*5=15-2=13
please help i’ll give brainliest
Answer: 1.5 + 3 = 1.8
Step-by-step explanation: Add both sides.
Answer:
P = 9 cm
Step-by-step explanation:
The Perimeter of a Rectangle
Given a rectangle of dimensions W and L, the perimeter of the rectangle is:
P = 2W + 2L
Or, equivalently:
P = 2(W + L)
The dimensions of the icon for the mobile app are 1.5 cm and 3 cm, thus:
P = 2(1.5 cm + 3 cm)
P = 2(4.5 cm)
P = 9 cm
Which Student is walking Faster E or F
Answer:
E
Step-by-step explanation:
the steeper the slope the faster the something
Replace * with a monomial so that the expression represents the square of a binomial: *+24x+9
Answer:
* is [tex]7x^{2}[/tex]
Step-by-step explanation:
(7x + 3)(x + 3)
= [tex]7x^{2}[/tex] + 24x + 9
Answer:
7x²
Step-by-step explanation:
PLS HELP!!!
I HAVE THE ANSWER!
I ONLY NEED TO SHOW THE WORK
Find the value of x by using the exterior angle theorem.
Answer: B
Luka wants to buy peaches and a watermelon . Peaches cost $2.99 a pound, and watermelon costs $4.50. he has $15.00 to spend
Answer:
2.99: 3 4.50: 5
Step-by-step explanation:
5 plus 3 equals 8.
If he has 15.00 to spend he would get 7 dollars as change.