Answer:
The final balance is $7,913 and the total compound interest is $413.27
To calculate compound intrest, you need to multiply the initial principal amount ($7500) by one , plus the annual intrest rate (2.7%) raised to the number of compound periods minus one. The total initial amount of the loan is the subtracted from the resulting value.
After two years, the balance on the account will be $7916 if April invested $7500 into a continuously compounded account with an interest rate of 2.7% for 2 years.
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
It is given that:
April invested $7500 into a continuously compounded account with an interest rate of 2.7% for 2 years.
The formula to find the money is:
[tex]\rm A = Pe^{rt}[/tex]
Here P = $7500
r = 2.7% = 0.027
t = 2 years
[tex]\rm A = 7500e^{0.027\times2}[/tex]
After solving:
A = 7916.13 ≈ 7916
Thus, after two years, the balance on the account will be $7916 if April invested $7500 into a continuously compounded account with an interest rate of 2.7% for 2 years.
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what is the difference of the fractions? use the number line to help find the answers. 4/7 - 10/7
Answer:
This means that the fraction 3/4 is 3 out of 4 equal parts. So, count 3 parts from 0 and you will get 3/4. That's it! You've shown the fractions 1/4 and 3/4 on a number line!
Step-by-step explanation:
It is.
Answer:
This means that the fraction 3/4 is 3 out of 4 equal parts. So, count 3 parts from 0 and you will get 3/4. That's it! You've shown the fractions 1/4 and 3/4 on a number line!
Step-by-step explanation:
The math is just correct
If the value of "y" varies directly with "x"
and y = -8 when x = 4.
Find "y" when x = -4.
Answer:
-16
Step-by-step explanation:
because y varies directly with 4 when you remove 8 from 4 you get -4 and when you remove it from -8 you get -16
The value of y is 8 for the given condition.
What is linear equation?Linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line. Generally, the equation is of the form Ax+B=0.
For the given situation,
The value of "y" varies directly with "x" and y = -8 when x = 4.
First we need to form the equation for this condition as [tex]y=kx[/tex].
Here, x=4 and y=-8
⇒ [tex]-8=k(4)[/tex]
⇒ [tex]k=-2[/tex]
Now substitute the value of k and x=-4 in the above equation to get the value of y,
⇒ [tex]y=kx[/tex]
⇒ [tex]y=(-2)(-4)[/tex]
⇒ [tex]y=8[/tex]
Hence we can conclude that the value of y is 8 for the given condition.
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Describe the graph of x > 2 and x < 5
Answer:
y=(x−5)2
The graph of y is the standard parabolic, concave up curve of y=x2 shifted ("transformed") by 5 units right ("positive") on the x−axis,
The graph of y is shown below.
graph{(x-5)^2 [-10, 10, -5, 5]}
Answer:
I'm prettyy sure you already figured this out knowing you, so thanks;)
Step-by-step explanation:
I put it at 50 pts because it will take a while plz help me
Answer:
well i am not that smart sorry i really wish i could help but i know one of the things
Step-by-step explanation:
3. what causes wind
Gases move from high-pressure areas to low-pressure areas. And the bigger the difference between the pressures, the faster the air will move from the high to the low pressure. That rush of air is the wind we experience.
sorry it took so long for me to type it
hope you have a good day sir/ma'am!!!
In AGHI, the measure of
Answer:
yes
Step-by-step explanation:
There are ten toppings available to make an ice
cream sundae. How many ways can Max choose
two?
Answer:
There will be 56 possible combinations if he is allowed to choose the same topping twice.
There will be 47 if he is not allowed to choose the same topping twice.
Step-by-step explanation:
Number of ways max choose two are 45
What are combinations?Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of both the selection is irrelevant. You can choose the components of combos in any order;
Permutations and combinations can be mixed up. The sequence in which the chosen components are chosen is crucial in permutations, too. For instance, the configurations ab and ba are distinct in permutations but equivalent in combinations (regarded as one arrangement);
Given;
Toppings available to make an ice cream sundae = 10
The number of ways can Max choose 2;
= 10C2
=10! / [(10-2)! X 2!]
=45
Therefore, Max can choose toppings is 45 by combination
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Find the Y intercept of the graph
Answer:
6
Step-by-step explanation:
The intercept would be 6 because that's the point on the Y line or the line going vertically.
Answer:
6
Step-by-step explanation:
Hello!
The y-intercept of the graph is when the graph touches the y-axis.
As you can see the graph intersects the y-axis at point (0,6), indicating the y-intercept of the graph to be 6.
y - intercept: 6The x-intercepts of the graph are when the graph intersects the x-axis. There are three roots for the graph: -1, -3 and 2.
20POINTS WILL MARK BRANLIEST PLSS
The layout of a city park is pictured in the figure above. Park managers would like to find the distance of segment DE, in order to build a walkway across the middle of the park. The park managers look up the distance of segments BC and AB in the city records. If the length of segment AB is determined to be 562 feet, what is the distance of mid-segment DE in feet?
Select one:
A. 220
B. 244
C. 276
D. 281
g(x) = 5x h(x) = - 11x ^ 3 + 10x ^ 2 - 2x + 5
Answer:
x(9x – 10).
Step-by-step explanation:
AYYYY HOLMES 100 POINTS BOISSS
Answer:
1) A
2) B
3) D
4) B
Step-by-step explanation:
1) Because 1 mile is 5280 feet one half of the proportion has to be 1/5280. The other half is 5/x
2) Multiply 1/2 * (10/2.5). This gets you 2
3) First find 4.5% of 545.00 (Multiply 545*.045) This gets you 24.525. Add this to 545, and you get 569.525. This can be rounded to $569.53
4) There seem to be 5 players for each coach. If there are 80 players, divide 80 by 5 to get the number of coaches. The final answer is 16
Answer:
1.) A.- [tex]\frac{5}{x}[/tex]
2.) B.- 2
3.) D.- 569.53
4.) B.- 16
Step-by-step explanation:
-1.) His placement needs to be the denominator To be counted, Only Option "A." Has his value
-2.) Pints = 0.125-US liquid Gallon- For 10 gallons of gas he would need 2 Pints
-3.) Bringing 545.00 up by 45% Would leave us with- 569.53
-4.) We would need 16 couches for 80 softball players
Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".
Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional.
Proportions are the same ratios written in different forms. A proportional relationship is states that they are the same. For example, 1/2 and 6/12 have a proportional relationship, which means they are the same. I hope this helps!!
E 4) In the diagram below, the dimensions of the large rectangle are (3x-1) by (3x+7) units. The dimensions of the cut-out rectangle are x by (2x+5) units. Which choice expresses the area of the shaded region, in Square units?
Answer:
Option (D)
Step-by-step explanation:
Area of a rectangle = Length × width
Area of large rectangle = (3x - 1)(3x + 7) square units
= (9x² + 21x - 3x - 7)
= 9x² + 18x - 7
Area of small rectangle = (2x + 5)x
= (2x² + 5x) square units
Area of the shaded region = Area of large rectangle - Area of small rectangle
= (9x²+ 18x - 7) - (2x² + 5x)
= (9x² - 2x²) + (18x - 5x) - 7
= (7x² + 13x - 7) square units
Therefore, Option (D) will be the correct option.
The expression that represents the area of the shaded region is:[tex]7x\² + 13x - 7[/tex]
The dimension of the big rectangle is given as:
Length: 3x - 1Width: 3x + 7So, the area of the rectangle is:
[tex]Area = Length \times Width[/tex]
[tex]Area= (3x - 1) \times (3x + 7)[/tex]
Expand
[tex]Area = 9x\² + 21x - 3x - 7[/tex]
[tex]Area = 9x\² + 18x - 7[/tex]
The dimension of the small rectangle is given as:
Length: 2x + 5Width: xSo, the area of the rectangle is:
[tex]Area = Length \times Width[/tex]
[tex]Area= (2x + 5) \times x[/tex]
Expand
[tex]Area = 2x\² + 5[/tex]
The area of the shaded region is the difference between the area of the big and small rectangles.
So, we have:
[tex]Area = (9x\²+ 18x - 7) - (2x\² + 5x)[/tex]
Expand, and collect like terms
[tex]Area = 9x\²- 2x\² + 18x -5x- 7[/tex]
[tex]Area = 7x\² + 13x - 7[/tex]
Hence, the area of the shaded region is [tex]7x\² + 13x - 7[/tex]
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Will give brainlist to who finds this out!
Answer:
1
2
4
Step-by-step explanation:
Answer:
[tex]\sqrt{1}, \sqrt{4}, \sqrt{9}[/tex]
Step-by-step explanation:
First, remember that rational numbers either terminate or have repeating decimals. Those three are the only answers with perfect squares, [tex]\sqrt{1} = 1, \sqrt{4} = 2, \sqrt{9} = 3[/tex]. As you can see all of these answers terminate and therefore are rational, the rest go one forever while never repeating.
Solve for x
2x+5 = 32
Answer:
x=13.5
Step-by-step explanation:
Perform the same operation on each side:
2x+5 = 32
2x = 27
x = 13.5
So, x is 13.5
A manufacturer wants to produce an ice cream cone with the same volume and diameter of a spherical scoop of ice cream 6cm in diameter. What should the height of the cone be?
Answer:
IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?
Step-by-step explanation:
IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?
Answer: HEY NIKHIL GARG MR. FORTNITE BATTLE ROYALE THE ANSWER IS 12
Step-by-step explanation:
TRUST BRO IF THE HEIGHT IS 12 THEN ITLL HAVE THE SAME VOLUME AS THE SPHERE, WHICH IS 36 PI
How far does the tip of the minute hand of a clock move in 20 minutes if the hand is 10 inches long?
Answer:
20.95 inches
Step-by-step explanation:
The complete revolution of the minute hand forms a circle in 60 minutes.
circumference of a circle = 2[tex]\pi[/tex] radius
i.e C = 2[tex]\pi[/tex]r
But from the question, r = length of the minute hand = 10 inches
⇒ C = 2[tex]\pi[/tex] x 10
= 20[tex]\pi[/tex]
C = 20[tex]\pi[/tex] inches
Also, 20 minutes = [tex]\frac{20 minutes}{60 minutes}[/tex] = [tex]\frac{1}{3}[/tex] of the circumference.
So that,
the distance of the tip of the minute hand = [tex]\frac{1}{3}[/tex] x C
= [tex]\frac{1}{3}[/tex] x 20[tex]\pi[/tex]
= [tex]\frac{1}{3}[/tex] x 20 x [tex]\frac{22}{7}[/tex]
= 20.9524
= 20.95 inches
Thus, the distance of the tip of the minute hand is 20.95 inches
How to solve
2(-3x + 4) = 5x + 2
Answer:
x = 6/11
Step-by-step explanation:
2(-3x + 4 ) = 5x + 2
-6x + 8 = 5x + 2
- 2 - 2
-6x + 6 = 5x
+6x +6x
6 = 11x
/11 /11
6/11 = x
Pls ASAP solve this question
answer:
ii- 7
iii- 5
Step-by-step explanation:
sorry if its wrong im not for sure
Three times one number is equal to two times the larger one and their difference is 1. What are the numbers?
Answer:
Y=3
X=2
Step-by-step explanation:
These two triangles are similar. What are a and b? Note: the two figures are not drawn to scale. Please help with this!!!
9514 1404 393
Answer:
a = 6b = 22.5Step-by-step explanation:
The ratio of smallest sides in the two triangles is ...
smaller / larger = 4/10
To find A and B, we write proportions involving corresponding side lengths.
__
Side A in the smaller triangle is ...
A/15 = 4/10
A = (4/10)(15) = 6
__
The ratio of larger to smaller is the inverse of the above ratio, so ...
B/9 = 10/4
B = (10/4)(9) = 22.5
i need help plzzzzzzzzz
Answer:
1 2 5 . 6 9
1 2 5 . 6 7 0
125.69 Would be Greater.
Step-by-step explanation:
First number to the right of the decimal is the tenths place 2nd number would be hundredths and you'd increase etc.
The amount $3.80 is 4% of what price?
Answer:
$95
Step-by-step explanation:
3.8=4%
100÷4=25
3.8×25
If it i´snt correct sorry :(
Answer:
$3.80 is 4% of $95.
Step-by-step explanation:
To solve this problem, divide 3.8 by 0.04.
3.8 / 0.04 = 95.
To check your math, multiply 95 by 0.04.
95 x 0.04 = 3.8
I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)
CAN SOMEONE PLEASE HELP ME ON THIS!!?
Answer:
w = 3.5
Step-by-step explanation:
Write the slope-intercept form of the equation for a line with slope 1/3 and y l-intercept at (0,-2/5
Answer:
y=1/3x-2/5
Step-by-step explanation:
Given:x+=9 prove x=4
Reasonable Answer:
If x is 4, then the answer is 13 or 5.
Step-by-step explanation:
9-4=5
For another reason it's 13.
4 minus 13 =9
~~~Hope this helps~~~:)
What is the formula for the area of a square?
Answer:
Area of a square = side times side. Since each side of a square is the same, it can simply be the length of one side squared. If a square has one side of 4 inches, the area would be 4 inches times 4 inches, or 16 square inches. (Square inches can also be written in2.)
Answer:
lxwxtor you can up it in the calculator
8 1/3 divided by 5 5/7
In simplest form
Answer:
35/24
Step-by-step explanation:
8 1/3= 25/3 5 5/7= 40/7
(25/3) divided by (40/7) is equal to (25/3) x (7/40) using Keep Change Flip (KCF) where you keep the initial value, switch the sign from dividing to multiplying, and then flip the other value. Then, multiply across to get 175/120 which simplifies to 35/24.
3.55. Постройте график линейной функции:
1) у = 2/3х – 4;
2) y = 2x + 6;
3) у = -1,5х – 3;
4) y = -1/2x + 1;
5) y = 5/3x - 2;
6) y = -4/3x + 2;
Answer:
4) y = -1/2x + 1;
Step-by-step explanation:
maybe
or maybe not
question below please answer
Answer:
the awenser is D
Step-by-step explanation:
took the test lolz
When dividing 39,100 by 100, the digits in the quotient will move how many places to the right?
When dividing 810,000 by 1,000, the digits in the quotient will move how many places to the right?
When dividing 360 by 10, the digits in the quotient will move how many places to the right?
Answer:
1. 2 places. 2. 3 places. 3. 1 place.
Step-by-step explanation:
1. Since there is 2 zeroes in 100, you move the digits 2 places to the right.
2. The same thing happens here, but with 3 zeroes.
3. The same happens, but with 1 zero.
Louis owns a rectangle price of property with an area of 1 3/4 square miles. The length of the property is 2 1/3 miles. What is the width of the property?
Answer:
1/4
Step-by-step explanation:
Divide the area by the length and you will find the width.
