Simple interest is a method of calculating interest on an amount. The sum of the total balances of these accounts at the end of 7 years is $27,822.54.
What is simple interest?Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,
[tex]\rm Simple\ Interest=\dfrac{P\times R \times T}{100}[/tex]
where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.
As it is given that the amount deposited by James is $12,000. While the interest earned on the first account is 2.2% compounded annually for a period of 7 years, therefore, the balance in the account will be,
[tex]\text{Account balance of first Account} = P(1+r)^t = 12,000(1.022)^7=\$13,974.54[/tex]
In the second account, James deposited $12,000 at a rate of 2.2% annual simple interest. Therefore, the balance in the account will be,
[tex]\text{Account balance of second Account} = P+\dfrac{P\times R \times T}{100}[/tex]
[tex]=12,000+\dfrac{12,000 \times 2.2 \times 7}{100} \\\\= \$13,848[/tex]
Now, the balance of the account when combined together will be,
[tex]\rm Total\ Balance = \text{Account balance of first Account} +\text{Account balance of second Account} \\\\\rm Total\ Balance = \$13,974.54+\$13,848 = \$27,822.54[/tex]
Hence, the sum of the total balances of these accounts at the end of 7 years is $27,822.54.
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Which expression is equivalent to -3x+9?
A.-3(x+9)
B.-3(x-3)
C.-3(x+12)
D.3(-x-3)
Explanation:
Use the distributive property to pull out the -3
When going in reverse like this, we divide each term by -3
-3x/(-3) = x
9/(-3) = -3
So -3x+9 = -3(x-3)
We can verify this by multiplying the -3 outside with each term inside
-3 times x = -3x
-3 times -3 = 9
This shows how -3(x-3) turns into -3x+9 again.
Help will name Brainliest
Answer:
x = 5
Step-by-step explanation:
using the sine or cosine ratio in the right triangle and the exact value
sin30° = [tex]\frac{1}{2}[/tex] , then
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{10}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2x = 10 ( divide both sides by 2 )
x = 5
Which expression is equivalent to 10x2y 25x2? 5x2(2y 5) 5x2y(5 20y) 10xy(x 15y) 10x2(y 25)
GCF is the highest value that can divide an expression. The equivalent expression to 10x^2y + 25x^2 is 5x^2 (2y + 5)
Factoring polynomial expressionsGCF is the highest value that can divide an expression. Given the expression below
10x^2y + 25x^2
Find the factor of each
10x^2y = 5 * 2 * x^2 * y
25x^2 = 5 * 5 * x^2
Since 5x^2 is common to both factors, hence
10x^2y + 25x^2 = 5x^2 (2y + 5)
The equivalent expression to 10x^2y + 25x^2 is 5x^2 (2y + 5)
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Please help I'll give Brainliest and Thanks. its also due in 15 minutes.
Simplify: -1║2/3 - 4║ ÷ 5/6
║means an absolute value line.
A. -4
B. -25/9
C. 25/9
D. 4
Answer:
A or -4
Step-by-step explanation:
simplify to -1 || -10/3 || × 6/5
-1 × 10/3 × 6/5
-1 × 2 × 2
The work of a student to solve the equation 3(3x − 4) = 8 + 2x + 5 is shown below: Step 1. 3(3x − 4) = 8 + 2x + 5 Step 2. 6x − 7 = 13 + 2x Step 3. 6x − 2x = 13 + 7 Step 4. 4x = 20 Step 5. x = 5 In which step did the student first make an error and what is the correct step? (1 point) Step 2, 9x − 12 = 13 + 2x Step 2, 9x − 4 = 2(6 + x + 3) Step 3, 6x + 2x = 13 + 7 Step 3, 6x − 2x = 13 − 7
Answer:
(a) Step 2. 9x -12 = 13 +2x
Step-by-step explanation:
The distributive property says a factor outside parentheses multiplies each term inside parentheses. It is an error to do addition of the factor, or to miss multiplying a term.
In Step 2 of this "solution", the factor of 3 is erroneously added to each coefficent inside parentheses. It should be multiplied.
Correct Step 2: 9x -12 = 13 +2x
__
The rest of the solution should be ...
Step 3: 9x -2x = 13 +12
Step 4: 7x = 25
Step 5: x = 25/7
___
Check
3(3(25/7) -4) = 8 + 2(25/7) +5
3((75 -28)/7) = 13 +50/7
141/7 = 141/7 . . . . . answer checks OK
262 diveded by 2.5 please help
Answer:
The answer is 104.8
Step-by-step explanation:
Calculator
how do i solve this?
Answer:
its the same thing as 3 x3 or 3+3 it always come´s back as 9 or 6
Step-by-step explanation:
Devon opened a savings account with an initial deposit of $2,750 The balance will eam 6. 5% interest compounded annually He does not deposit any
additional money or make any withdrawals from this account What will his account balance be after 8 years?
Answer:
22,000
Step-by-step explanation:
Simplify: (13/4)x - 8y- (5/4) x + 7y + 5
[tex]\dfrac{13}4 x -8y-\dfrac54 x +7y +5\\ \\=\dfrac{13x-5x}{4} -y+5\\\\=\dfrac{8x}{4}-y+5\\\\=2x-y+5[/tex]
A number cube is rolled 450 times and the
results recorded as follows: There were
75 ones, 80 twos, 69 threes, 78 fours,
77 fives, and 71 sixes. What is the
experimental probability of rolling a two or a
three?
[A] 0.33 [B] 0.57 [C] 0.43 [D] 0.67
Answer:
A.) 0.33
Step-by-step explanation:
©Simplify fully
8x²y
4x
:))
Answer:2xy
Step-by-step explanation:
The courier travelled 508 km in 8h. b) At this rate, how long will it take the courier to travel 889 km?
Answer:
14 hours
Step-by-step explanation:
Finding the rate of travel
Distance covered / Time taken508 kilometers / 8 hours63.5 kilometers per hourTime taken to cover 889 km
Distance / Rate of Travel889 kilometers / 63.5 kilometers per hour14 hoursa taxi costs 3.00 for every mile traveled, to enter a cab the is an initial charge of 4.50. write an equation where t represents the total cost of the cab ride and m represents the number of miles traveled
Answer:
[tex]t = 4.50 + 3.00m[/tex]
Help!! Algebra 1 math equation
Answer:
6
Step-by-step explanation:
The answer is 6. You're looking for the rate of change in the number of DVD's. from 9,15,21,27, each time you add 6, so +6 is your constant variation.
For a project, Carlos must provide one cut-out paper model of each type of triangle: acute, right, and obtuse. He sketches each triangle on graph paper before making the models.
On a coordinate plane, 3 triangles are shown. One triangle has points (3, 3), (3, 6), (6, 3). Another triangle has points (5, 7), (4, 10), (7, 8). Another triangle has points (7, 1), (7, 6), and (9, 4).
What is the total area of the three triangles?
12.5 square units
13 square units
13.5 square units
14 square units
Answer:
Its 12.5 squares eric deleted my answer!
Step-by-step explanation:
Answer: B. 13
Step-by-step explanation: On Edge!!!!
Nina’s garden is 4 1/5 meters long and 3/10 meter wide. What is the area of Nina’s garden
Answer:
12.6
Step-by-step explanation:
1/5 = .2
3/10 = .3
4.2 x .3 = 12.6
A gallon of gas costs $3. 05 per gallon. Joey's car gets 35 miles per gallon on the highway and 27 miles per gallon in the city. Using the
highway, Joey drives at an average speed of 54 miles per hour, and it takes him 0. 5 hours to get to work. The highway has one $1. 25 toll.
Using a city street route, Joey drives at an average speed of 36 miles per hour, and it takes him 1 hour to get to work.
Which quantities would be used to determine the total cost for Joey to drive to work using the highway? Choose all that apply. A. 0. 5 hours B. 1 hour C. $1. 25 per car D. $3. 05 per gallon E. 27 miles per gallon F. 35 miles per gallon G. 36 miles per hour H. 54 miles per hour
Answer: using the street route, he drove for half hour/0.50hr or 30minutes. Hence he covered 27miles on that trip, deducted from 54miles per hour for 0.5hr.Paid a toll fee of $1.25 which is the cost per car at the toll.
Step-by-step explanation: Choose all that apply A CH
what is the LCM of 24 and 54?
Answer: 216
Step-by-step explanation:
The LCM of 24 and 54 is 216. To find the least common multiple of 24 and 54, we need to find the multiples of 24 and 54 (multiples of 24 = 24, 48, 72, 96 . . . . 216; multiples of 54 = 54, 108, 162, 216) and choose the smallest multiple that is exactly divisible by 24 and 54, i.e., 216.
Answer: 216
Step-by-step explanation: The LCM of 24 and 54 is 216. To find the least common multiple of 24 and 54, You need to find the multiples of 24 and 54.
Moses is creating a large cube sculpture for a city park. He first makes a smaller cube to use as a rough model of his sculpture. The edge lengths of the model are each 25 in. The edge lengths of the sculpture will be 3 times the model's edge lengths. How many times as large is the volume of the sculpture than the volume of the model? Show your work.
From the calculations, the volume of the sculpture is 27 times the volume of the model.
Volume of a cubeThe volume of a cube is obtained using the formula;
Volume = l^3
Where l is the length of each edge. We should note that the lengths of all the edges in a cube are equal.
Hence,
volume of the model = (25)^3 = 15625 in^3
volume of the sculpture = (3 * 25)^3 = 421875 in^3
Ratio of the volume of the sculpture to the volume of the model = 421875 in^3/15625 in^3
= 27:1
Hence, the volume of the sculpture is 27 times the volume of the model.
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In a rhombus ABCD, m∠A = 31°. Point O is a point of intersection of diagonals. Find the measures of the angles of triangle ΔBOC.
m
SHOW PROPER WORK
What is the probability for blue or yellow (be sure to simplify)?
Answer:
Step-by-step explanation:
No of red marbles=n(A)=3.Total no of marbles=n(s)=3+2+5=10.Probability,p(A)=n(A)/n(s)
Kiran is going to see a movie and is taking his 3 kids. Each movie ticket costs $13 and there are an assortment of snacks available to purchase for $4. 50 each. How much total money would Kiran have to pay for his family if he were to buy 4 snacks for everybody to share? How much would Kiran have to pay if he bought xx snacks for everybody to share?
I will give brainlist plsssss I need helppp
Answer: I only have the first answer sorry. The 1st answer is $13.50
Step-by-step explanation:
I multiplied $4.50 by the 3 kids and got $13.50 for the snacks.
Work out the value of x
Answer:
Step-by-step explanation:
Add 87° + 63° = 150°
then set up this equation:
x + 150° = 180°
x + 150° = 180°
- 150° = -150°
x = 30°
When you add 87 + 63 + 30
it should give you 180° if it doesnt equal 180° then recheck your work.
This screenshot should help you
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You a roll a 6-sided die two times.
What is the probability of rolling a number greater than 4 and then rolling a 5?
Answer:
[tex]\frac{1}{18}[/tex]
Step-by-step explanation:
First, let’ find the probability of rolling a number greater than a 4The scorers that satisfy this are 5 & 6This is a [tex]\frac{1}{3}[/tex] chance of getting a 5 or a 6AND means × when it comes to probabilityChance of rolling a 5 is [tex]\frac{1}{6}[/tex]Multipy the two fractions together[tex]\frac{1}{3}\times\frac{1}{6}=\frac{1}{18}[/tex]Daddy spends 50% of his salary on rent, 1/4 of the remainder on groceries and keeps the rest. If he keeps $4800, how much is his salary
Answer:
$19,200
Step-by-step explanation:
Daddy spent 3/4 of his salary on things.
This means that you can multiply 4,800*4 to find the salary as 4,800 is 1/4 of the total salary.
4,800*4=19,200
Using the table, if there are 5 flowers, how many petals are there?
A) 11
B) 6
C) 30
D) 25
Answer:
i think is 25
Step-by-step explanation:
you dont have no diagram but i think it 5x5=25
URGENT
What will five 100's do to a grade of 92%? How many points will it bring my grades up by?
Answer:
See below ~
Step-by-step explanation:
Given
Mean = 92%Solving
Add 5 points of 100% and divide by 6 (total entries)92 + 5(100) / 6592/698.67%Solution
Five 100s will bring up the 92% up by 6.67% to 98.67%Find the volume of the cylinder.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi.
Volume is the measure of 3 dimensional space. The volume of the considered cylinder whose radius is of 3 units, and height of 6 units is V = 54π cubic units.
What is the volume of a cylinder?Suppose that the radius of considered cylinder be 'r' units.
And let its height be 'h' units.
Then, its volume is given as:
[tex]V = \pi r^2 h \: \rm unit^3[/tex]
For this case, we're specified that:
Radius of the considered cylinder = r = 3 unitsThe height of the considered cylinder = h= 6 units.Thus, the volume of this cylinder is:
[tex]V = \pi r^2 h = \pi (3)^2 (6) = 54\pi\: \rm unit^3[/tex]
Thus, the volume of the considered cylinder whose radius is of 3 units, and height of 6 units is V = 54π cubic units.
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The area of a computer screen is 108 in with a side length of 12. What is the area of a tv screen similar to the computer screen with a side length of 20 in?
Answer:180in squared
Step-by-step explanation:
108 divided by 12 is 9, so 20*9= 180
Jodi sorted shapes into two groups based on the types of angles they
appear to have, as shown below.
Both shapes in group A and group B are inscribed in a circle
Shapes present in group A and group BIn group A and group B, we have different shapes present in them.
In group A, we have two shapes that are inscribed in a circle.
In group B, what both shapes have in common is that they're inscribed in a circle.
The shape below belong to a rectangle.
Both shapes have a common factor which are
They are both inscribed in a circleLearn more on shapes here;
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