Answer:
a) $520
b) $580
c) Interest amount is same each year
Step-by-step explanation:
Given - Georgie put $500 in her savings account, earning interest at a rate of 4% each year. She did not make any more deposits or withdrawals.
To find - a) How much money was in the account after one year?
b) How much money was in the account after 4 years?
c) Was the amount of money earned in interest the same or different each year?
Proof -
Here given that,
Principal amount = $500
rate of interest = 4% = 4/100 = 0.04
Now,
a)
Amount = P [ 1 + RT ]
= 500 [ 1 + 0.04(1)]
= 500 [ 1 + 0.04] = 520
⇒Amount = $520
b)
Amount = P [ 1 + RT ]
= 500 [ 1 + 0.04(4)]
= 500 [ 1 + 0.16] = 580
⇒Amount = $580
c)
In 2nd year,
Amount = P [ 1 + RT ]
= 500 [ 1 + 0.04(2)]
= 500 [ 1 + 0.08] = 540
⇒Amount = $540
Now,
Interest in 1st year = 520 - 500 = 20
Interest in 2nd year = 540 - 520 = 20
So,
The interest amount is same each year
A deposit of $10,000 is made in a trust fund that pays 3.8% interest, compounbed quarterly. It is specified that the balance will be given to Abudu Charity after the money has earned interest for 40years. How much will the charity receive?
9514 1404 393
Answer:
$45,395.39
Step-by-step explanation:
The formula for an amount earning compound interest is ...
A = P(1 +r/n)^(nt)
where principal P is invested at annual rate r compounded n times per year for t years.
Using the given numbers, we have ...
A = $10,000(1 +0.038/4)^(4·40) ≈ $45,395.39
The charity will receive $45,395.39.
Plz help I am bad at this
Jack has $20 in his savings account that earns 10% annually.The interest is not compound.How much will he have in 1 year?
Answer:
$22
Step-by-step explanation:
Given data
Principa= $20
rate= 10%
time= 1 year
The simple interest expression is given as
A= P(1+rt)
substitute
A= 20(1+0.1*1)
A= 20*1.1
A= $22
Hence the amount after 1 year is $22
Jaime drew the number line below to show 2/3 4/5. Explain how the number line shows 2/3 times 4/5. What is the product?
Answer:
[tex]\frac{2}{3} * \frac{4}{5} = \frac{6}{15}[/tex]
Step-by-step explanation:
Given
[tex]\frac{2}{3} * \frac{4}{5} =[/tex]
The number line is missing from the question.
So, I will answer the question and also draw the number line to show the product.
[tex]\frac{2}{3} * \frac{4}{5} =[/tex]
[tex]\frac{2}{3} * \frac{4}{5} = \frac{6}{15}[/tex]
To represent this on a number line;
We draw a number line of 15 points, and place a dot on the 6th point.
This represents 6/15
See attachment
Please Help!!!!!! You have twice as many nickels as pennies. you have $1.10. how many of each coin do you have? Solve each problem using a system of equations.
Fully simplify 16x^4(2x^2y)
How much water should be added to 1 gallon of pure antifreeze to obtain a solution that is 5% antifreeze?
Answer:
95% of a gallon of water, .95, or 19/20 as a fraction
Step-by-step explanation:
HELPP ON GEOMETRY!! Plzzzz
But not links or I’ll report
If the lateral area of a cube is 36 cm2. Find its total area.
Answer:
should be 7776
Step-by-step explanation:
I just used an area for cubes calculator.
please help due pretty soon.
Answer:
answer is A
Step-by-step explanation:
the answer the correct answer will be A
Madera High School's Drama Department sold tickets to their next show. Tickets for adults were $10 each and youth were $5 each. A total of 150 tickets were sold costing $1150.
Select the two equations that form the system of equations to determine how many adults and youth attended.
A represents the number of adults that attended and Y represents the number of youth.
Answer:
I can't see the equations but I can give you one
Step-by-step explanation:
1150 = 5y + 10a
Answer:
the equation would be
A+Y=150
10A+5Y=1150
Step-by-step explanation:
A=number of adults
Y=number of growth
total tickets = 150
Can someone help me with this ASAP please I’m being timed !
Answer:
I hope you get the answer im tryna find mines
Step-by-step explanation:
What would be the exponent if you wrote 2,670 in scientific notation? Just write the number for your answer.
Answer:
2.67 x 10^3
Step-by-step explanation
The exponent is equal to how many numbers are after the decimal point. So, since there are 3 numbers after the decimal point, the exponent would be 3. Hope this helps :)
Write a slope intercept equation for the following table can SOMEONE PLEASE answer
Answer:
Step-by-step explanation:
(-2, -3) (-1, -1)
(-1 + 3)/(-1 + 2)= 2/1 = 2
y + 3 = 2(x + 2)
y + 3= 2x + 4
y = 2x + 1
Can you help me figure it out? What is the side length of side AE?
Answer:
18
Step-by-step explanation:
maybe i dont really know
Translate: The difference of a number and 45 is 12
Answer:
x-45=12
Step-by-step explanation:
a number equals x
difference equals -
of a number and 45 so 45 first
is equals =
12 is after is so 12
Terrell has $2,700 in his checking account and $1500 in his savings account. He
uses his checking account to pay bills, which are $240 each month.
a) In how many months will his checking account balance equal his savings account
balance?
b) If Terrell deposited an additional $720 in his savings account, in how many
months will his balances be the same?
Answer:
1.8 month and they wouldnt
Step-by-step explanation:
brainalist
The number of months when both accounts have the same balance is 5 months. If $720 is deposited each month in the saving account, then the number of months when both accounts have the same balance is 1.25 months.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Terrell has $2,700 in his financial records and $1500 in his bank account. He utilizes his financial records to take care of bills, which are $240 every month.
Let 'x' be the number of months. Then the equation is given as,
1500 = 2700 - 240 x
240 x = 1200
x = 5 months
Assuming Terrell kept an extra $720 in his bank account. Then the equation is given as,
1500 + 720 x = 2700 - 240 x
960x = 1200
x = 1.25 months
The quantity of months when the two records have a similar equilibrium is 5 months. On the off chance that $720 is kept every month in the saving record, the number of months when the two records have a similar equilibrium is 1.25 months.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
what is the value of x in the equation 3(2x + 8) =0
Answer:
x=-4
Step-by-step explanation:
1. Distribute
3(2x+8)=0
6x+24=0
2. Subtract 24 from both sides.
6x+24=0
6x+24-24=0-24
3. Simplify
6x=-24
4. Divide both sides of the equation by the same term
6x=-24
[tex]\frac{6x}{6}[/tex] = [tex]\frac{-24}{6}[/tex]
5. Simplify
x=-4
And thats the answer.
I hope this helps :)
According to the weather channel, the chance of rain on Tuesday, February 23rd is 6%. It's complement is %.
Answer:
It's complement is 94%.
Step-by-step explanation:
Complement of a percentage:
The complement of a percentage is 100% subtracted by this percentage.
In this question:
Percentage of 6% for probability of rain.
So the complement, that is, the probability of not raining, is:
100 - 6 = 94%.
I need help with question can anyone help me?
Answer:
B
Step-by-step explanation:
x+2y=2
3x+4y=0
solve by graphing
Step-by-step explanation:
I think this is helpful so you wanted by graphing and this is what I saw I hope it is helpful and good luck
Find the length of side a.
Answer:
C. 5
Step-by-step explanation:
Keeping in mind that this is a right triangle, to find the length of side a, we can use the Pythagorean Theorem.
Remember, the Pythagorean Theorem is:
a² + b² = c²
where a and b are the legs of the right triangle and c is the hypotenuse.
As we can see in the image, a is one of the two legs of the right triangle. 13 is the hypotenuse and 12 is another leg. Plugging into the Pythagorean Theorem, we get:
a² + 12² = 13²
Now we solve for a.
a² + 144 = 169
Subtract 144 from both sides.
a² = 169 - 144
a² = 25
Take the square root of both sides.
a = √25
a = 5
So the length of side a would be 5.
The answer would be C. 5.
I hope you find my answer and explanation to be helpful. Happy studying.
Answer: C. 5
Step-by-step explanation:
We'll use the Pythagorean Theorem to find the missing side.
a^2 + b^2 = c^2
a^2 + 12^2 = 13^2
a^2 + 144 = 169
a^2 = 25
(simplify)
[tex]a^2 = \sqrt{25}[/tex]
a = 5
A prism is filled with 70 cubes with a side length of 1 2 unit. What is the volume of the prism in cubic units? Enter answer as a mixed number in its simplest form.
Answer:
The volume of the cube is;
[tex]8\dfrac{3}{4} \ cube \, units[/tex]
Step-by-step explanation:
The parameters of the prism are;
The number of cubes used to fill the prism, n = 70 cubes
The side length of each cube, s = 1/2 unit
The volume of the cube, V = n × s³
∴ Therefore, the volume of the cube, V = 70 × (1/2)³ = [tex]8\dfrac{3}{4} \ cube \, units[/tex] = 8.75 cube unit
help !!!!
my math teacher wants me to answer this, and I have to give the answer in 10 minutes
Select the correct answer from each drop-down menu. Consider the end behavior of the function g(x) = |x-21 – 3. As x approaches negative infinity, f(x) approaches As x approaches positive infinity, 4(x) approaches v infinity. v infinity.
(the choices for each box is negative or positive)
Answer:
negative
positive
Step-by-step explanation:
Answer: positive
positive
Step-by-step explanation:
find the unknown angle mesure
Answer: 1=65° and 5=43
Step-by-step explanation:
Question 1:
Angles on a straight line always add up to 180°.
So to find the angle of x on the first question you have to do 180-115=65°
You would have to use this method for questions 2, 3 and 4 as well.
Question 5:
Right angles always add up to 90° so to work out what x is you would have to do 90-47=43
You would have to use this method for questions 6, 7 and 8.
Hope this helps :)
helppppp PLSSSSSSSSS lol
Answer:
C
Step-by-step explanation:
-7 + 3 = -4
x > -4
=
Check all the equations that apply to meet the Segment Addition Postulate in segment QA. QP=3x+7, PA=3x+2 and QA=32
Asse
MA
MARS
MAFS
3x-23=-3x
Answer:
J
Step-by-step explanation:
Work out m and c for the line: y=3x
Answer:
m = 3, c = 0
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x , or y = 3x + 0 ← is in slope- intercept form
with m = 3 and c = 0
WILK MARK BRAINLIEST!!
Answer:
I think the answer is 8.
Step-by-step explanation: