Answer:
(-3,6)
Step-by-step explanation
April invested $7500 into a continuously compounded account with an interest rate of 2.7% for 2 years. How much money was in the account after that time?
Round your answer to the nearest dollar.
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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-4/7(1/3 x 22)
The answer must be written as a mixed number.
A triangle has a base of 3 2/5 inches and an area of 5 1/10 square inches. Find the height of the triangle.
Answer:
3.33 is the answer
Find the measure of angle b.
4)
36°
what do you guys think
If I run 2 1/2 miles in 19 1/5 minutes what is my average time per mile
Answer:
7:41
Step-by-step explanation:
19 1/5 as a decimal is 19.2, and the mileage would be 2.5. to find the time per mile, you divide the finish time by the number of miles you ran:
19.2 / 2.5 = 7.68
now you're prolly wondering, "why isn't the answer 7.68?" that's a good question, and the reason that 7.68 isn't the answer is bc time is all in factions of 60, not 100 like most things, so there are 60 seconds in a minute, instead of 100 seconds in a minute.
so, you have to find out how many seconds are in 0.68 of a minute. to do this, you multiply 60 by 0.68:
60 x 0.68 = 40.8
so 0.68 of a minute is 40.8 seconds, so your average pace was 7:40.8. i would just round up to 7:41, but your teacher may want exact numbers.
hopefully that helps and isn't too confusing! if you need any other help, let me know! :)
What is a secure line of credit?
a. A line of credit offered only to individuals with excellent credit ratings.
b. A line of credit offered to a business or corporation.
c. A line of credit backed by the government.
d. A line of credit backed by collateral.
Answer:
D. A line of credit backed by collateral.
Step-by-step explanation:
Answer:
D. A line of credit backed by collateral.
Step-by-step explanation:
did the quiz
A new hard drive costs $225, plus $40 per hour for labor. The linear equation y = 40x + 225 gives the cost y in dollars for x hours of labor. If Jane has $385 to spend on computer repairs, using plug and chug strategy for x hours of labor, what is the maximum number of hours the computer technician can work?
Answer:
Step-by-step explanation:
225+40h=y
225 + 40x = 385
-225 -225
------- -------
40x = 160
x= 4
in ABC, D∈AB so that AD;DB=1 : 3. If ACDB = 12ft2 Find AACD and AABC
Answer:
Area of [tex]\triangle[/tex]ACD = 4 [tex]ft^2[/tex]
Area of [tex]\triangle[/tex]ABC = 16 [tex]ft^2[/tex]
Step-by-step explanation:
Given that:
D is a point on AB.
and ABC is a triangle.
AD:DB = 1 : 3
Area of [tex]\triangle[/tex]CDB = 12 [tex]ft^2[/tex]
Kindly refer to the attached image as per the given dimensions and values.
To find:
Area of [tex]\triangle[/tex]ACD and Area of [tex]\triangle[/tex]ABC = ?
Solution:
Formula for area of a triangle = [tex]\frac{1}{2}\times Base \times Height[/tex]
The altitudes of triangles [tex]\triangle[/tex]CDB and [tex]\triangle[/tex]ACD are equal in dimensions.
Therefore the area of triangles [tex]\triangle[/tex]CDB and [tex]\triangle[/tex]ACD will be equal to the ratio of their bases.
Area of [tex]\triangle[/tex]ACD : Area of [tex]\triangle[/tex]CDB = AD: DB = 1 : 3
[tex]\Rightarrow[/tex] Area of [tex]\triangle[/tex]ACD = [tex]\frac{12}{3} = \bold{4 ft^2}[/tex]
Area of [tex]\triangle[/tex]ABC = Area of [tex]\triangle[/tex]ACD + Area of [tex]\triangle[/tex]CDB = 12 + 4 = 16 [tex]ft^2[/tex]
Therefore, the answer is:
Area of [tex]\triangle[/tex]ACD = 4 [tex]ft^2[/tex]
Area of [tex]\triangle[/tex]ABC = 16 [tex]ft^2[/tex]
Marcus likes Nike sneakers. He paid $195 for a sneaker that originally cost $245. What is the percent discount of his purchase?
Answer:
21%
Step-by-step explanation:
195 divided by 245 = 0.79 approximately
100-79=21
Always divide the small number by the big number for percentages
Good luck!
For which equation does x = 2?
Answer:
what are the equations
Step-by-step explanation:
Help please (screenshot)
Answer:
Step-by-step explanation:
Write the first 4 terms of the sequence defined by the rule. f(n) = n + 10
Answer:
n(1) = 11, n(2) = 12, n(3) = 13, n(4) = 14
Step-by-step explanation:
write a linear equation in slope intercept form for a line that passes through the point 6,-2 and has a slope of -2/3
y=0.625x+1.75 is the equation for your problem.
in the diagram below ,segment A'B' is the image of segment AB after a rotation by 103 degrees counterclockkwise about point C. Which segments below, when drawn, would not have to be the same length
Answer:
2
Step-by-step explanation:
If |14 -2x = 20, x could equal which of the following?
Answer:
x would equal -3
Step-by-step explanation:
want to get rid of 14 from each side so 14 - 14 would get rid of that 20 - 14 = 6 now you still have a negative 2x
-2x / -2x gives you X to be alone now divide 6 with -2 which gives you -3
The value of x is -3.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
14 -2x = 20
Now, solving for x
Subtract 14 both side
14- 2x - 14= 20- 14
-2x = 6
Divide by (-2)
-2x/(-2)= 6/ (-2)
x= -3
Hence, the value of x is -3.
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18 red marbles; 6 to 9
Answer:
Im not sure what the question is
Step-by-step explanation:
Nathan ran 2.35 miles on Tuesday and 3.15 on Thursday. What total distance did he run?
Answer:
5.5 miles
Step-by-step explanation:
2.35 + 3.15 =5.5
Based on the information below, what are the values of x and y of the solution to the system of equations used to create
the information?
Answer:
x = 4; y = 12
Step-by-step explanation:
The value of x and y is 4,12., the correct option is C.
What is a Matrix?A matrix is an array of numbers or expressions used in mathematics to solve a system of equations.
The matrix A is
[tex]\begin{pmatrix}1/2 & 1/4\\ 9& -3\end{pmatrix}[/tex]
The matrix Ax is
[tex]\begin{pmatrix}5 & 1/4\\ 0& -3\end{pmatrix}[/tex]
The matrix Ay is
[tex]\begin{pmatrix}1/2 & 5\\ 9& 0\end{pmatrix}[/tex]
The determinant for all the matrices is
|A| = -15/4
|Ax| = -15
|Ay| = -45
The value of x is (|Ax|) /(|A|) = -15 / (-15/4) = 4
The value of y is ( |Ay|)/(|A|) = -45 /(-15/4) = 12
Therefore, the value of x and y is 4,12., the correct option is C.
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Original price $80 Rate of discount 4% what is the Discount and Sale price
Answer:Price after discount: $76.80
You saved: $3.20
Step-by-step explanation:
You dont have to help but it would be nice if you would :)
Ethan invested $25,000 in an account that earns 4.25% simple interest. If Ethan doesn't make any additional deposits or withdrawals, how much interest will he have earned after 9 years?
Answer:
I think it might be $36,360.06
Step-by-step explanation:
Adam, Barry, and Charles visited a small farmers market last Saturday. Adam purchased 3 dozen eggs, 1 wheel of cheese, and 5 pounds of potatoes. Barry bought 1 dozen eggs and 10 pounds of potatoes, while Charles purchased 2 dozen eggs and 2 pounds of potatoes. If Adam’s bill was $38.25, Barry’s $36.50 and Charles’ $17.20, how much did a dozen eggs, a wheel of cheese and a pound of potatoes cost?
Answer:
Dozen eggs = $5.5
Wheel of cheese = $6.25
Pound of potatoes = $3.1
Step-by-step explanation:
Let the cost
Dozen of egg = x
Wheel of cheese = y
Pound of potato = z
We will form linear equations using the information given in the question
Adam purchased 3 dozen eggs, 1 wheel of cheese, and 5 pounds of potatoes
3x + y + 5z = 38.25 ................(1)
Barry bought 1 dozen eggs and 10 pounds of potatoes
x + 10z = 36.50 ............(2)
Charles purchased 2 dozen eggs and 2 pounds of potatoes
2x + 2z = 17.20 .................(3)
solving 2 and 3
x = $5.5 and z = $3.1
substitute these values in equation 1
we get
y = $6.25
The cost
Dozen eggs = $5.5
Wheel of cheese = $6.25
Pound of potatoes = $3.1
On a certain road map, the scale is
0.5 inch = 10 miles. Aurora Springs and Glendale are 3 inches apart on the map. What is the actual distance between Aurora Springs and Glendale?
Answer:
3 inches=60 miles
Step-by-step explanation:
Multiply 0.5 times 6 because 1/2 an inch equals 10 miles. 0.5 x 6 = 3. 6 x 10 = 60. The actual distance between Aurora Springs and Glendale is 60 miles or 3 inches
Binary of 18 and 168
Answer:
18=10010
168=00110001 00110110 00111000
Step-by-step explanation:
18=10010
168=00110001 00110110 00111000
IF UR GOOD AT PRECALC PLEASE HELP
Answer:
Answer is C, u can find this just by looking at domain
The boiling point of water in the Fahrenheit scale is 212 degrees ?
True
False
Help
The answer fam is........True (212°F)
which expression is equivalent to the given expression 4(a-3)
-8a
4a-12
4a-3
-4(a+30
Answer:
4a-12
Step-by-step explanation:
4(a-3)=4a-4×3=4a-12
The total bill for dinner, including tax, was $65.81. In Indiana there is a 7% sales tax. What was the price of the meal before taxes?
Answer:
$56.41
Step-by-step explanation:
You have to divide the total bill by the sales tax and the multiply that number by 100. Then subtract that number from the total bill and that's how you get your answer.
Simplify the expression 4x^3 x 2x^3
Answer:
8x^6
Step-by-step explanation:
Brainliest
7n + 5 =68.... how to solve this problem and show my work
Answer:
n = 9
Step-by-step explanation:
7n + 5 = 68
7n + 5 - 5 = 68 - 5
7n = 63
7n / 7 = 63 / 7
n = 9
13x456+345 divided by 45x265-256=?
Answer:
7703.66666667
Step-by-step explanation:
