Given:
Principal = $400
Rate of interest = 6% compounded monthly
Time = 5 years.
To find:
The amount in the bank after 5 years.
Solution:
The formula for amount is:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is principal, r is the rate of interest, n is the number of time interest compounded in an year and t is the number of year.
Interest compounded monthly. So, [tex]n=12[/tex].
Putting [tex]P=400, r=0.06, n=12[/tex] and [tex]t=5[/tex], we get
[tex]A=400\left(1+\dfrac{0.06}{12}\right)^{12(5)}[/tex]
[tex]A=400\left(1+0.005 \right)^{60}[/tex]
[tex]A=400\left(1.005 \right)^{60}[/tex]
[tex]A\approx 539.54[/tex]
Therefore, the amount of money in the bank after 5 years is $539.54.
An artist pays an art show director $ 86 to reserve a booth at the show and $ 15 per painting sold at the show
The question is incomplete:
An artist pays an art show director $ 86 to reserve a booth at the show and $ 15 per painting sold at the show. Which statement is true?
a. The expression 15 p + 86 represents the total amount of money the artist pays the art show director for selling p paintings at the art show.
b. The expression 15 p + 86 represents the total number of paintings, p , the artist sells at the art show.
c. The expression 86 p + 15 represents the total amount of money the artist pays the art show director for selling p paintings at the art show.
d. The expression 86p+15 represents the total number of paintings, p, the artist sells at the art show.
Answer:
a. The expression 15 p + 86 represents the total amount of money the artist pays the art show director for selling p paintings at the art show.
Step-by-step explanation:
With the information provided, you can say that the total amount the artist pays for selling a certain number of paintings is equal to the result of multiplying the price per painting for the number of paintings plus the amount to reserve a booth at the show. So, the expression that represents this situation 15p+86. According to this, the answer is the expression 15 p + 86 represents the total amount of money the artist pays the art show director for selling p paintings at the art show.
explanation ASAP please.
Answer:
Estimate = 1/2(12)(7) = 42 cm²
actual area = 42.25 cm²
Step-by-step explanation:
area = 1/2bh = 1/2(11.9)(7.1) = 42.25 cm²
Ben and Landon took turns driving on the recent 820 mile road trip Ben averaged 60 mph while Landon average 56 mph if the trip took them 14 hours how many hours did Landon Drive
Answer:
9 hours
Step-by-step explanation:
Let :
Landon hours = x
Ben hours = y
x + y = 14 - - (1)
60x + 56y = 820 - - - (2)
From (1)
y = 14 - x
60x + 56(14 - x) = 820
60x + 784 - 56x = 820
4x = 820 - 784
4x = 36
x = 36/4
x = 9
Landon drove for 9 hours
what expression best estimates -18 1/4 ÷ 2 2/3
a. 18÷3
b. -18÷3
c. -18÷(-3)
d. 18÷(-3)
Write an equation when the two angles together are supplementary. solve for x
lol ur from trms
Step-by-step explanation:
6
5
4
2
1
-3 -2 -1
2.
3 4
5
6 7
-1
-2
-3
-4
Equation:
Answer:
(-1,5)
(0,2)
(-1,1)
(2,-4)
Answer:
y = -3x + 2
Step-by-step explanation:
Rise (y'-y): 2-5 = -3
Run ( x'-x): 0 - -1 = 1
slope (m): rise/run = -3/1
y intercept (b): 2
Equation: y = mx + b
y = -3x + 2
You buy a TV that costs $550 and you pay 6% sales tax. How much do you pay in total for the TV?
$33
$583
$517
$187
Answer:
$583 :)
Step-by-step explanation:
well we know the sales tax is %6 and to find out how much money it is equal to we have multiple $550 x 0.06. after that we get $33. Add $33 to $550 and you get $583!
Natalie uses a 15\%15% off coupon when she buys a camera. The original price of the camera is \$ 45.00$45.00. How much money does Natalie save by using the coupon?
Answer:
Natalie saves $6.75 by using the coupon.
Step-by-step explanation:
With the information provided, you can find the amount Natalie saves by calculating 15% of the original price of the camera as that is the discount percentage:
Original price=45
45*15%=$6.75
According to this, the answer is that Natalie saves $6.75 by using the coupon.
Rewrite the expressions by using the distributive property and collecting like terms. 1/6(12s + 6)
PLEASE HELP
For the distributive property, multiply the number outside the parentheses by each term inside the parentheses.
1/6 x 12s = 2s
1/6 x 6 = 1
Now combine them to get the final answer: 2s + 1
The digit 4 has a greater value in because its value is as much as its value in .
Question:
Fill in the blanks to complete the statements about the numbers 0.04 and 0.004. In 0.04, the digit 4 is in the place. In 0.004, the digit 4 is in the place.
The digit 4 has a greater value in because its value is as much as its value in
Answer:
The digit 4 has a greater value in because its value is as much as its value in 0.04
Step-by-step explanation:
Given
0.04 and 0.004
Required
Which has a greater value of 4
In 0.04, the value of 4 is hundredths i.e. 0.01
In 0.004, the value of 4 is thousandths i.e. 0.001
By comparison:
[tex]0.01 > 0.001[/tex]
So, 4 has a greater value in 0.04 than 0.004
Ann took a taxi home from the airport. The taxi fare was $2.10 per mile, and she gave the driver a tip of $5. Ann payed a Total of $49.10. (actual question is on screenshot below)
Isabel baked 2 dozen oatmeal cookies for her family. If two-thirds of the cookies were oatmeal, how many total cookies did Isabel bake?
Answer:
36 total cookies
Step-by-step explanation:
2 dozen = 2/3 of the total cookies
24 = 2/3 of the total cookies
24/x = 2/3
cross multiply
24(3) = 2x
72 = 2x
x = 36
Check the math: 2/3 x 36 = 72/3 = 24
How do I do this???????
Answer:
42
Step-by-step explanation:
alternate exterior angles are equal. Therefore 32 = y - 10. Solving for y:
y - 10 = 32
y = 32+10
y = 42.
plsss help i’ll give brainliest if you give a correct answer
Answer:
1800
Step-by-step explanation:
Please help me! I need this answered fast!
Answer:
Question 1: A
Question 2: C
Step-by-step explanation:
The answer to question 1 is A. I know this is correct because Max needs to earn 108 dollars for the headphones he wants so the amount of money he earns per hour which is 15, times the amount of hours he needs to work which is x has to be greater than 108. So, the inequality equation has to be 15x > 108 which is answer A.
The answer to question 2 is C. I know this is correct because Felicia has 2 sisters which make 3 sisters in total to pay for the gift. They all pay evenly, so the first part of the equation would be 3x. The cost for the gift is less than 80 dollars, so we write the inequality equation like 3x < 80 which is answer C.
Evaluate 7d, when d = 9 please!
Answer:
63
Step-by-step explanation:
When d=9, the equation should be 7 times 9 because you need to plug 9 in. Therefore, 7 times 9 is 63! I hope that helps!
((will give brainliest)) What is the output of the function y = 12 + 3x if the input is 5.
Answer:
y = 27
Step-by-step explanation:
The output is the value of y when x = 5
Substitute x = 5 into the function , that is
y = 12 + 3(5) = 12 + 15 = 27 ← output
A bag contains 24 discs.
8 are red and 16 are blue.
One disc is taken out at random and replaced by two of the other colour.
Another disc is then taken out at random and replaced by two of the other colour.
Another disk is taken out at random
Work out the probability that all three discs are taken out red
Answer:
Step-by-step explanation:
8/24 are Red
Pick and return 2
So it will be 7/25
Again pick and return 2
Then it is 6/26
Now multiply the results
8/24 × 7/25 × 6/26 = 7/ 325
The probability that all three discs are taken out of red will be 7/ 325.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favourable outcomes / Number of sample
Given that a bag contains 24 discs. 8 are red and 16 are blue. One disc is taken out at random and replaced by two of the other colour. Another disc is then taken out at random and replaced by two of the other colour.
The probability will be calculated as,
Red = 8/24
Pick and return 2 it will be 7/25
Again pick and return 2 then it is 6/26
Now the overall probability will be,
P = 8/24 × 7/25 × 6/26 = 7/ 325
Therefore, the probability that all three discs are taken out of red will be 7/ 325.
To know more about probability follow
https://brainly.com/question/24756209
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In the early 2016 there were about 80 devils living on Maria island.Of that total, 75% are offspring from the previous two breeding seasons. How many are offspring
Answer: 60 devils
Step-by-step explanation:
Question wants to know the number of offspring from the two previous breeding seasons.
There are 80 devils on the island. 75% of this 80 are from previous breeding seasons.
We need to find this 75% in whole numbers:
= Percentage of devils from previous seasons * Total number of devils
= 75% * 80 devils
= 60 devils
Find the unknown length x in the right triangle, to the nearest tenth.
D
26
F
Х
55
E
What is the length for x
There are 16 colored pencils and 8 colored pencils will fit in a box. How many boxes will the 16 pencils fill?
Given:
Total number of colored pencils = 16
Colored pencils fit in a box = 8
To find:
The number of boxed that will fit the 16 pencils.
Solution:
According to the question 8 colored pencils will fit in a box. So, we have
8 pencils = 1 box
Multiply both sides by 2.
2×8 pencils = 2×1 box
16 pencils = 2 box
Therefore, 2 boxes are required to fit the 16 colored pencils.
Choose which line represents the line of the best fit
Answer:
Step-by-step explanation:
I would say B
pls help :(
What is the sum of the roots of the quadratic function
below?
(3x + 2)(3x - 5)
If x= 5, y= 3 and z= -2, find the value of 3x + 5z
3x + 5z = 3 * 5 + 5 * (-2) = 15 - 10 = 5
Answer:
15 + -10
Step-by-step explanation:
3(5) + 5(-2)
15 + -10
Beth is two years older than Julio. Gerald is twice as old as Beth. Debra is twice as old as Gerald. The sum of their ages is 38. how old is Beth?
Answer:
Beth is five years old.
Step-by-step:
Beth + Julio + Gerald + Debra = 38
B + (Beth - 2) + (2 x Beth) + (2 x Gerald) = 38
Since we know that Gerald is twice as old as Beth and Debra is twice as old as Gerald. That makes Debra four times older than Beth.
Beth + (Beth - 2) + (2 x Beth) + (4 x Beth) = 38
B + (B -2) + (2B) + (4B) = 38
Simplfy the like terms.
8B - 2 = 38
Add 2 on both sides.
8B = 38 + 2
8B = 40
Divide both sides by 8 to isolate the variable.
8/8 B = 40/8
B = 5
HELP HAVING A BAD DAY
Roger can finish his math homework in 6 hours. Trish can finish the same homework in 5 hours. What part of the homework will Roger and Trish finish if they work together for x hours?
I WILL REWARD BRAINLIEST FOR THE CORRECT ANSWER
Answer:
Rodger and Trish will finish the homework together for 30 hours. x=30
Step-by-step explanation:
This is a very simple problem. Its an lcm problem (lcm means lowest common multiple)
To find the lcm you must find the common number the two numbers 5 and 6 share which is 30. Hope that helps, sorry your having a bad day. (i am too bad days suck)
6 5
12 10
18 15
24 20
30 25
30
And the file the other person shows never work, they are bots (robots) who waste your time answering your questions and waste your brainly points. ugh it gets to annoying.
Roger and Trish can finish 11x/30 of the homework if they work together for x hours.
What is Expression?An expression is combination of variables, numbers and operators.
Let the total amount of work in the math homework is 1.
In one hour, Roger can finish 1/6 of the work, and Trish can finish 1/5 of the work. So, working together for one hour, they can finish:
(1/6) + (1/5)
= (5/30) + (6/30)
= 11/30 of the work.
If they work together for x hours, then they will finish:
x × (11/30) = 11x/30
of the work in x hours.
Therefore, Roger and Trish can finish 11x/30 of the homework if they work together for x hours.
To learn more on Expressions click:
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A boat traveled 12 miles north and then
22.5 miles east. What is the shortest
distance the boat must travel to return
to its starting point?
Answer:
25.5 mi
Step-by-step explanation:
12 22.5 X
Let X be the shortest distance we are trying to find.
a units 2 b units 2 c units 2
12 units 2 + (22.5)=c units 2
144+506.25=c units 2
650.25=c units 2
[tex]\sqrt{x} 650.25[/tex]=c units 2
25.5
James, Reed, Spencer and Larry have 912 cups of trail mix for their hike. If they each eat the same amount of trail mix, how many cups will each person eat?
Answer:
228 cups
Step-by-step explanation:
the cups each person will eat can be found by dividing the total number of trail by the number of people who went on the hike
total number of people on the hike = 4
total cups of trail = 912
912 / 4 = 228 cups
what is the
spuare root of 144
Answer:
The square root of 144 will be 12
Answer:
12 is the answer
Step-by-step explanation:
12x12=144
Help me if you know how to do this!!!
Answer:
Volume = 1099 cm³
Step-by-step explanation:
Volume = πr²h = 3.14(5²)(14) = 1099 cm³